ASSOCIATE DEGREE PHYSICS - Bacha Khan University

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CURRICULUM OF

ASSOCIATE DEGREE PHYSICS

Department of Physics

Bacha Khan University, Charsadda

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OBJECTIVES OF THE AD PROGRAM

1. To impart students with a conceptual understanding of the fundamental principles of

physics, natural laws and their interpretation, as well as mathematical formulation of the

physical phenomena in nature,

2. To develop critical skills necessary for solving unknown problems from our physical

surroundings,

3. To develop the capability of analyzing, addressing and posing solutions to problems of

natural importance and to instill a deep appreciation of the need for optimum utilization of

natural resources and environment,

4. To instill in students, the habit of independent thinking, deep inquiry, and motivation for

self-education,

5. To sharpen our students' mathematical prowess making them capable of modeling,

analyzing and predicting the behavior of physical processes,

6. To enhance our student’s skills in scientific communication and the ability to clearly

present physics and science in simple and clear language,

7. To introduce to students, the spirit of working in interactive groups with the necessary

requirements of scientific and professional ethics,

8. To develop hands-on experience in different laboratory techniques, modern instrumentation,

9. To enhance student competence in the design and conduct of experiments and analysis

and presentation of experimental data and results,

10. To provide an in-depth understanding of some specialized area of physics through the

option of elective courses.

11. To equip students with the necessary skill set for pursuing careers in physics education,

research and industry in government or private organization

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AD SCHEME OF STUDIES(PHYSICS)

Eligibility Criteria

AD Physics: HSSC (Pre-Engineering/Pre-Medical) or equivalent with at least 45% marks

Semester-wise break up

First Year

Semester-I

S. No Course code Course title Credit hours

1 Ell-311 English-I (Functional English) 03

2 PS-101 Pakistan Studies 03

3

CS-311

(QR)Introduction to Information and

Communication Technologies (ICT)

03

4 PHY-311 Mechanics-I 03

5 PHY-312 Electricity and Magnetism-I 03(2+1)

6 MATH-311 NS-I*Calculus-I 03

Total Cr. Hrs 18(18+0)

Semester-II


1 Ell-321 English-II (Composition Writing) 03

2 IS-312 Islamic Studies 03

3 Arts & Humanities (Languages) 03

4 SOC-313 Citizenship Education and Community Engagement 03

5 PHY-321 Electricity and Magnetism-II 03

6 PHY-322 Mechanics-II 03(2+1)


Second Year

Semester-III


1 Ell-411 English-III (Academic Reading & Writing) 03

2 MATH-414 NS II* (Calculus-II) 03

3 PHIL-412 QR II (Logic & Quantitative Reasoning) 03

4 MATH-404 Discrete Structure 03(2+1)

5 PHY-411 Waves and Oscillation 03

6 PHY-412 Heat and Thermodynamics 03


Semester-IV


1 Arts & Humanities II (Languages) 03

2 Social Sciences 03

3 PHY-421 Modern Physics 03(2+1)

4 PHY-422 Optics 03

5 PHY-423 Cosmology& General Theory of Relativity 03


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Arts and Humanities

I. Pashto, Urdu, Arabic, Turkish, Chinese or any other language

II. Islamic History and Culture, Philosophy, History, Education, Home Economics or any

other approved course of BKUC Social science II

Political Science, Sociology, Psychology, Economics, Law, or any other approved Basic course

of BKUC

Natural Sciences (any two subjects may be selected from the following disciplines)

Mathematics, Statistics, Botany, Zoology, Chemistry, Physics, Geography, GIS, Geology,

Electronics, Geophysics, computer, (or any other approved Basic Course of BKUC)

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Semester 1st

Course

Code Course Title Cr hours

ELL-311 English-I (Functional English) 03

PS-321 Pakistan Studies 03

CS-311

Introduction to Information and

Communication Technologies (ICT) 03

PHY-311 Mechanics-I 03(2+1)

PHY-312 Electricity and Magnetism-I 03

MATH-313 NS-I* 03

Total Credit Hours 18

AD PHYSICS FOUNDATION COURSES

COURSE TITLE: English I: Functional English

COURSE CODE: ELL-311

CREDITS HOURS: 03

COURSE TYPE: Foundational Course

Course Description

The subject aims at enhancing the students' ability in the meaningful use of grammatical structures. Students

will be able to use the targeted grammatical structures meaningfully and appropriately both in oral and written

production.

Course Objectives

1. To enable students to identify the main/topic sentences.

2. To teach them to use effective strategies while reading the text.

3. To acquaint them about the cohesive devices and their function in the text.

Course Contents

1. Vocabulary (Frequently confused / misused words, Phrases, synonyms, antonyms, idioms.

2. Practical Use of Grammar (Nouns, Pronouns, Verbs, Adjectives, Adverbs, Prepositions, Conjunctions,

Articles, Interjections, Tenses and narration.

3. Transitive and Intransitive verbs

4. Punctuations, 14 American English Punctuations.

5. Sentences (Types of sentences, Parts of sentences, Direct and Indirect Speech, Active & Passive Voice &

Conditional Sentences)

6. Composition + Summarization (Describing, Narrating, Argumentation, Short / long Composition)

7. Comprehension + Précis writing.

8. Phrase, Types of Phrase

9. Clause, Types of Clause

Recommended Books

1. High School English Grammar & Composition by Wren and Martin.

2. Practical English Grammar by A.J. Thomson & A.V. Martinet. Exercises 1 & 2. 3rd edition. Oxford

University Press.

3. Writing. Intermediate by Marie-Christine Boutin, Suzanne Brinand& Francoise Grellet. Oxford

Supplementary Skills. 4th Impression 1993.

4. Reading. Upper Intermediate. Brian Tomilson & Rod Ellis. Oxford Supplementary Skills. 3rd Impression

1992.

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COURSE TITLE: PAKISTAN STUDIES (COMPULSORY)

COURSE CODE: PS-321

CREDIT HOURS: 02

COURSE OBJECTIVES:

Develop vision of historical perspective, government, politics, contemporary Pakistan, ideological

background of Pakistan and to Study the process of governance, national development, issues arising in the

modern age and posing challenges to Pakistan.

Course learning outcomes:

The outcome of this subject is purely the understanding of emergence of Muslims in Sub-Continents, Pakistan

History, Culture. Society politics and its ideological basis. A part from these considering the national and

international politics, this course also thoroughly explains the status and position of Pakistan and its

importance in the global village.

The highlighted points are as given below:

1. Advent of Islam in sub-continent

2. The rise and fall of Muslims in India

3. The emergence of imperial power Britain

4. Political emergence of Muslim as nation

5. Role of religion in the freedom movement of Pakistan

6. Geo strategic importance of Pakistan

COURSE CONTENTS: Historical Perspective

1. Ideological rationale with special reference to Sir Syed Ahmed Khan, Allama Muhammad Iqbal and Quaid-

i-Azam Muhammad Ali Jinnah.

2. Factors leading to Muslim separatism

3. People and Land

i. Indus Civilization

ii. Muslim advent

iii. Location and geo-physical features.

Government and Politics in Pakistan

1. Political and constitutional phases:

2. 1947-58

3. 1958-71

4. 1971-77

5. 1977-88

6. 1988-99

7. 1999 onward

Contemporary Pakistan

1. Economic institutions and issues

2. Society and social structure

3. Ethnicity

4. Foreign policy of Pakistan and challenges

5. Futuristic outlook of Pakistan

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COURSE RECOMMENDED BOOKS:

1. Amin, Tahir. (1999). Ethno-National Movement in Pakistan. Islamabad: Institute of Policy Studies,

Islamabad.

2. Burke,S.M and Ziring,Lawrence. (1993). Pakistan’s Foreign policy: An Historical analysis. Karachi:

Oxford University Press,

3. Mehmood, Safdar. (2001). Pakistan Kayyun Toota. Lahore: Idara-e-Saqafat-e-Islamia. Club Road Press.

4. Mehmood, Safdar. (1994). Pakistan Political Roots & Development. Lahore.

5. Waseem, Muhammad. (1987). Pakistan Under Martial Law. Lahore: Vanguard.

6. Zaidi,Akbar. S. (2000). Issue in Pakistan’s Economy. Karachi: Oxford University Press.

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MATH-313 MATHEMATICS-I

Credit Hours: 03

Objectives:

This is the first course of the basic sequence, Calculus I-III, serving asthe foundation of advanced subjects in

all areas of mathematics. The sequence, equally, emphasizes basic concepts and skills needed for

mathematical manipulation. Calculus I & II focus on the study of functions of a single variable.

Course Detail:

1. Limits and continuity.

2. Derivative of a function and its applications.

3. Optimization problems.

4. Mean value theorem (Taylor’s theorem and the infinite Taylor series with applications) & curve

sketching; anti-derivative &integral.

5. Definite integral and applications.

6. The fundamental theorem of Calculus.37

7. Inverse functions (Chapters 1-6 of the text)

RECOMMENDED BOOKS:

1. Anton H, Calculus: A New Horizon (6th edition), 1999. John Wiley, New York.

2. Stewart J, Calculus (3rd edition), 1995, Brooks/Cole (suggested text)

3. Thomas G. B, Finney A. R., Calculus (10th edition), 2002.Addison-Wesley, Reading, Ma, U.S.A.

4. Anton, H., 1999. Calculus: A New Horizon, 6th Edition, John Wiley, New York.

5. Stewart J, 1995. Calculus, 3rd Edition, Brooks/Cole

6. Thomas, G. B. and Finney, A. R, 2002. Calculus

STATISTICS-I

COURSE CODE: STAT-314

CREDIT HOURS: 03

Theory

Definition and importance of Statistics, Data and different types of data, Observation and variables, Discrete and

Continuous variables, Collection of data: Primary and Secondary data, Limitation of statistics, Measurement Scale,

Presentation of data: Introduction, Classification, Basic Principles and types of Classification, Tabulation: Main parts of

a table and it’s Construction, Frequency distribution, Constructing a Grouped frequency Distribution from raw data,

Class boundaries, Class-marks, Relative and Cumulative frequency distribution, Diagrams, Graphs and their

Construction, Bar charts, Pie chart, Histogram, Frequency polygon and Frequency curve, Exercises. Measure of Central

tendency: Introduction, Types of Averages, (Arithmetic Mean, Geometric Mean, Harmonic Mean, Median and Mode),

Quantiles in Grouped and Ungrouped data. Measure of Dispersion: Introduction, Rang, Quartile Deviation, quartile

deviation, the Mean (or Average) deviation, Standard deviation and Variance, Coefficient of variation, Skewness and

Kurtosis.Simple Correlation And Regression, Exercise.

Book Recommended

1. Introduction to Statistical Theory Part- I by Sher Muhammad and Dr. Shahid Kamal (Latest Edition)

2. Statistical Methods and Data Analysis by Dr. Faquir Muhammad

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3. A. Concise Course in A. Level Statistic with world examples by J. Crawshaw and J. Chambers (1994)

4. Basic Statistics an Inferential Approach 2nd Ed. (1986) Fran II. Dietrich-II and Thomes J. Keans

5. Morgan, George A. ; Leech, Nancy L.; Gloeckner, Gene W. ; and Barret, Karen C. (2nd Ed) 2004 SPSS for

Introductory Statistics: Use and Interpretations’ New Jersey: Kawrence Erlbaum Associates, Inc.

6. Muhammad, F. 2005. “Statistical Methods and Data Analysis”, Kitab Markaz, Bhawana Bazar Faisalabad.

PHY-311 MECHANICS-1

Credit Hours: Three (3)

Objectives: The main objective of this course is to understand the different motions of

objects on a macroscopic scale and to develop simple mathematical formalisms to analyze such

motions. This is a calculus-based introductory course with maximum emphasis on applying the

acquired knowledge to solving problems.

Basic Concepts: Units and Dimensions, SI Units, Changing Units,

Vector Analysis:Review of Vector in 3dimension and fundamental Operations, Directions, Cosines,

Spherical polar coordinates, Cylindrical coordinates. Adding Vectors: Graphical as well as Component

Method, Multiplying Vectors: Dot and Cross Products. Vector and Scalar triple products, gradient of a

vector, Divergence and curl of a vector, Physical significance of each type, Divergence of a vector, flux,

curl, and line integral (mutual relation). Vector identities.

Particle Dynamics: Position & Displacement, Velocity and Acceleration, Motion under Constant

Acceleration, Projectile Motion, Uniform Circular Motion, Relative Velocity and Acceleration in One

and Two Dimensions, Inertial and Non-Inertial Reference Frames. Effect of drag force on motion.

Applying Newton’s Law to obtain v(t) for the case of motion with time dependent (integration approach)

drag (viscous) forces, terminal velocity. Newton’s Laws of Motion and their Applications involving

some particular forces including Weight, Normal Force, Tension, Friction, and Centripetal Force

Work and Kinetic Energy: Work done by Constant and Variable Forces: Gravitational and Spring

Forces, Power, Conservative and Nonconservative Forces, Work and Potential Energy, Isolated Systems

and Conservation of Mechanical Energy, Work Done by External Forces including Friction and

Conservation of Energy

System of Particles: Motion of a System of Particles and Extended Rigid Bodies, Center of Mass and

Newton’s Laws for a System of Particles, Linear Momentum, Impulse, Momentum & Kinetic Energy in

One and Two Dimensional Elastic and Inelastic Collisions

Simple Harmonic Motion (SHM): Amplitude, Phase, Angular Frequency, Velocity and Acceleration

in SHM, Linear and Angular Simple Harmonic Oscillators, Energy in SHM, Simple Pendulum, Physical

Pendulum, SHM and Uniform Circular Motion, Damped Harmonic Oscillator.

Recommended Books: 1.D. Halliday, R. Resnick and J. Walker, “Fundamentals of Physics”, John Wiley & Sons, 9th ed. 2010.

2. R. A. Serway and J. W. Jewett, “Physics for Scientists and Engineers”, Golden Sunburst Series, 8th ed.

2010.

3. R. A. Freedman, H. D. Young, and A. L. Ford (Sears and Zeemansky), “University Physics with

Modern Physics”, Addison-Wesley-Longman, 13th International ed. 2010.

4. F. J Keller, W. E. Gettys and M. J. Skove, “Physics: Classical and Modern, McGraw Hill. 2nd ed. 1992.

5. D. C. Giancoli, “Physics for Scientists and Engineers, with Modern Physics”, Addison- Wesley, 4th ed.

2008.

PHY-312 ELECTRICITY AND MAGNETISM-I Pre-requisite: Mechanics, Calculus I

Co-requisite: Calculus II


Objectives: The main objective of this course is to understand the Physics of

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Electromagnetism and to develop simple mathematical formalisms to analyze the electromagnetic fields

and interactions. This is a calculus-based introductory course with maximum emphasis on applying the

acquired knowledge to solving problems.

Electrostatics: Electric Charge, Conductors and Insulators, Coulomb’s Law, Electric Fields due to a

Point Charge and an Electric Dipole, Electric Field due to a Charge Distribution, Electric Dipole in an

Electric Field, Electric Flux, Gauss’ Law and its Applications in Planar, Spherical and Cylindrical

Symmetry

Electric Potential: Equipotential Surfaces, Potential due to a Point Charge and a Group of Point

Charges, Potential due to an Electric Dipole, Potential due to a Charge Distribution, Relation between

Electric Field and, Electric Potential Energy

Capacitors and Capacitance: Parallel Plate, Cylindrical and Spherical capacitors, Capacitors in Series

and Parallel, Energy Stored in an Electric Field, Dielectrics and Gauss’ Law (1 week).

DC Circuits: Electric Current and Current Density, Resistance and Resistivity, Ohm’s Law, Power in

Electric Circuits, Semiconductors and Superconductors, Work, Energy, and EMF, Resistances in Series

and Parallel, Single and Multiloop Circuits, Kirchhoff’s Rules, RC Circuits, Charging and Discharging

of a Capacitor

Magnetic Field and Magnetic Force: Crossed Electric and Magnetic Fields and their Applications,

Hall Effect, Magnetic Force on a Current Carrying Wire, Torque on a Current Loop, Magnetic Dipole

Moment, Energy of Magnetic Dipole in field, Lorentz force with its applications in CRO, Magnetic Field

Due to a Current, Force between two Parallel Currents,Ampere’s Law (integral and differential form),

Gauss’s Law for Magnetism, Differntial form of Gauss’s Law.Biot-Savart Law: Magnetic Field due to

a Current, Long Straight Wire carrying Current, Solenoids and Toroids, a current-carrying Coil as a

Magnetic Dipole. Origin of Atomic and Nuclear magnetism, Basic ideas. Bohr Magneton,

Magnetization, Definition of M, B, Magnetic materials: Paramagnetism, Diamagnetism,

Ferromagnetism-Discussion. Hysteresis in Ferromagnetic materials.

Recommended Text Books:

1. D. Halliday, R. Resnick and J. Walker, “Fundamentals of Physics”, John Wiley & Sons, 9th ed. 2010.

2. R. A. Serway and J. W. Jewett, “Physics for Scientists and Engineers”, Golden Sunburst Series, 8th

ed. 2010.

3. R. A. Freedman, H. D. Young, and A. L. Ford (Sears and Zeemansky), “University

Physics with Modern Physics”, Addison-Wesley-Longman, 13th International ed. 2010.

4. F. J Keller, W. E. Gettys and M. J. Skove, “Physics: Classical and Modern, McGraw Hill. 2nd ed.

1992.

5. D. C. Giancoli, “Physics for Scientists and Engineers, with Modern Physics”, Addison- Wesley, 4th

ed. 2008.

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COURSE TITLE: English II: Composition Writing


CREDIT HOURS: 03

COURSE TYPE: Foundational

Course Description:

The course focuses on the basic strategies of composition and writing skills. Good writing skills not only help

Semester-II

S.

No

Course code Course title Credit hours

1 ELL-321 English II: Composition Writing 03

2 IS-312 Islamic Studies 03

3 Arts and Humanities-I (Languages) 03

4 SOC -313 SS-1 (Citizenship Education and community Engagement)

03

5 PHY-321 Mechanics-II 03

6 PHY-322 Electricity and Magnetism-II 03(2+1)

Total Cr. Hrs 18

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students obtain good grades but also optimize their chances to excel in professional life. The course includes

modes of collecting information and arranging it in appropriate manner such as chronological order, cause

and effect, compares and contrast, general to specific etc. It enables the students to write, edit, rewrite, redraft

and proofread their own document for writing effective compositions. Because of the use of a significant

amount of written communication on daily basis, sharp writing skills are always being valued highly in

academic as well as professional spheres.

Course Objectives:

This course aims to:

1. Assist students identify the audience, message, and the purpose of writing

2. Develop rhetorical knowledge and critical thinking

3. Enable them express themselves in a variety of writing styles

4. Help students write well organized academic texts including examination answers with topic/thesis

statement and supporting details.

5. Make students write argumentative essays and course assignments

6. Use different mechanics of writing to produce various types of compositions effectively keeping in view

the purpose and the audience

7. Demonstrate rhetorical knowledge

8. Demonstrate critical thinking in well-organized forms of academic texts.

Course Contents:

1. Writing Process,

2. Invention in writing Process or brainstorming

3. Generating Ideas (collecting information in various forms such as mind maps, tables, lists, charts etc)

4. Identifying Audience, Purpose, and Message,

5. Ordering Information,

6. Chronology for a narrative,

7. Stages of a process,

8. Deductive vs Inductive approach in writing

9. Comparison and contrast,

10. Problem solution pattern,

11. Drafting,

12. Free Writing,

13. Revising, Editing, Paraphrasing,

14. Cohesion and Coherence, Cohesive Devices,

15. Paragraph unity, Summary and Précis Writing,

16. Creative Writing, Essay Writing

17. Developing a thesis, writing effective introduction and conclusion

18. Organizing an essay, different types of essays, use of various rhetorical modes including exposition,

argumentation and analysis

Recommended Books

Critical Reading and Writing: An Introductory Course by Goatly, A. 2000. London: Taylor & Francis

A Writer’s Reference by Hacker, D. 1992. 2nd ed. Boston: St. Martin’s

Study writing: A course in written English for academic and professional purposes. by Hamp-Lyons, L. &

Heasley, B. 1987. Cambridge: Cambridge University Press.

Oxford English for Undergraduates by Howe, D. H, Kirkpatrick, T. A. & Kirkpatrick, D. L. 2004. Karachi:

Oxford University Press.

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1. Patterns for College Writing: Fourth Edition. Kirszner, L.G & Mandell, S.R. 1989 USA: St. Martin’s Press,

Inc.

2. Write to be Read: Reading, Reflection and Writing by Smazler, W. R. 1996. Cambridge: Cambridge

University Press.

Course Title: ISLAMIC STUDIES

Course Code: IS-312

Credit Hours: 03

Course Objectives: This course is aimed at:

1. To provide Basic information about Islamic Studies

2.To enhance understanding of the students regarding Islamic Civilization

3.To improve Students skill to perform prayers and other worships

4.To enhance the skill of the students for understanding of issues related to faith and religious life.

Course Contents:Introduction to Quranic Studies

1. Basic Concepts of Quran

2. History of Quran

3. Uloom-ul -Quran

Study of Selected Text of Holly Quran

1. Verses of Surah Al-Baqra Related to Faith (Verse No-284-286)

2. Verses of Surah Al-Hujrat Related to Adab Al-Nabi (Verse No-1-18)

3. Verses of Surah Al-Mumanoon Related to Characteristics of faithful (Verse No-1-11)

4. Verses of Surah al-Furqan Related to Social Ethics (Verse No.63-77)

5. Verses of Surah Al-Inam Related to Ihkam (Verse No-152-154)

Study of Selected Text of Holly Quran

1. Verses of Surah Al-Ihzab Related to Adab al-Nabi (Verse No.6,21,40,56,57,58.)

2. Verses of Surah Al-Hashar (18,19,20) Related to thinking, Day of Judgment

3. Verses of Surah Al-Saf Related to Tafakar,Tadabar (Verse No-1,14)

Seerat of Holy Prophet (S.A.W) I

1. Life of Muhammad Bin Abdullah (Before Prophet Hood)

2. Life of Holy Prophet (S.A.W) in Makkah

3. Important Lessons Derived from the life of Holy Prophet in Makkah

Seerat of Holy Prophet (S.A.W) II

1. Life of Holy Prophet (S.A.W) in Madina

2. Important Events of Life Holy Prophet in Madina

3. Important Lessons Derived from the life of Holy Prophet in Madina

Introduction ToSunnah

1. Basic Concepts of Hadith

2. History of Hadith

3. Kinds of Hadith

4. Uloom –ul-Hadith

5. Sunnah& Hadith

6. Legal Position of Sunnah

Introduction to Islamic Law & Jurisprudence

1. Basic Concepts of Islamic Law & Jurisprudence

2. History & Importance of Islamic Law & Jurisprudence

3. Sources of Islamic Law & Jurisprudence

4. Nature of Differences in Islamic Law

5. Islam and Sectarianism

Islamic Culture & Civilization

1. Basic Concepts of Islamic Culture & Civilization

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2. Historical Development of Islamic Culture & Civilization

3. Characteristics of Islamic Culture & Civilization

4. Islamic Culture & Civilization and Contemporary Issues

Islam & Science

1. Basic Concepts of Islam & Science

2. Contributions of Muslims in the Development of Science

3. Quranic& Science

Islamic Economic System

1. Basic Concepts of Islamic Economic System

2. Means of Distribution of wealth in Islamic Economics

3. Islamic Concept of Riba

4. Islamic Ways of Trade & Commerce

Political System of Islam

1. Basic Concepts of Islamic Political System

2. Islamic Concept of Sovereignty

3. Basic Institutions of Govt. in Islam

Islamic History

1. Period of Khlaft-E-Rashida

2. Period of Ummayyads

3. Period of Abbasids

Social System of Islam

1. Basic Concepts of Social System of Islam

2. Elements of Family

3. Ethical Values of Islam

COURSE RECOMMANDED BOOKS:

1. Bhatia, H.S. (1989). Studies in Islamic Law, Religion and Society.New Delhi: Deep & Deep Publications.

2. Hasan, Ahmad. (1993). Principles of Islamic Jurisprudence. Islamabad: Islamic Research Institute, IIU.

3. Waliullah, Mir. (1982). Muslim Jrisprudence and the Quranic Law of Crimes. Lahore: Islamic Book

Service.

4. Zia-ul-Haq, Muhammad. (2001). Introduction to Al Sharia Al Islamia. Islamabad: Allama Iqbal Open

University.

Pool Course: Arts & Humanities-I

Course Title: Arabic

Course Code: AL-323

Title Description

Semester 2nd

Nature of Course Foundation (F-2)

Credit Hours 03

Objectives of the

Course

۔ طلباء کو عربی زبان کی علوم اسالمیہ میں اہمیت سے آگاہ کرنا۱

اسالمی علوم سے کما حقہ ۔ طلباء کو علم صرف اور نحو کے بنیادی قواعد سے آگاہ کرنا تاکہ ۲

استفادہ کیا جا سکے

۔ طلباء کو علم صرف کے بنیادی اصولوں سے آگاہ کرنا۳

Course Description

16

S.No Topic Description

۔عربی زبان کا آغاز و ارتقاء۱ عربی زبان کا تعارف و اہمیت 1

۔ عربی زبان کی اہمیت۲

کردار ۔ علوم اسالمیہ کے فہم میں عربی زبان کا۳

۔فعل ماضی اور مضارع کا تعارف ۱ ماضی اور مضارع 2

۔ فعل ماضی اور مضارع کی اقسام اور گردانیں۲

۔ فعل ماضی او رمضارع کے بنیادی صرفی قواعد۳

۔ فعل امر و نہی کا تعارف۱ فعل امر و نہی 3

۔ فعل امر و نہی کی اقسام اور گردانیں۲

صرفی قواعد۔ فعل امر و نہی کے بنیادی ۳

1اسماء ۔ 4 ۔ اسم فاعل کا تعارف اور صرفی قواعد۱

۔ اسم مفعول کا تعارف اور صرفی قواعد۲

2اسماء۔ 5 ۔ اسم تفضیل کا تعارف اور صرفی قواعد۱

۔ اسم ظرف )زمان و مکان(کا تعارف اور صرفی قواعد۲

۔ اسم آلہ کا تعارف اور صرفی قواعد۳

3اسماء ۔ 6 اشارہ) قریب اور بعید(۔ اسم ۱

۔ اسم موصول اور جملہ موصولۃ کا تعارف۲

۔ اسم معرب کا تعارف اور اس کی اقسام۱ معرب و مبنی 7

۔ اسماء مبنی کا تعارف اور ان کی اقسام۲

۔حروف نداء۱ حروف 8

۔ حروف نواصب مضارع۲

۔ حروف جوازم مضارع۳

۔ فعل ثالثی مجرد کا تعارف۱ ثالثی مجرد 9

۔ فعل ثالثی مجرد کے ابواب ۲

(۱ثالثی مزید فیہ ) 10 ۔ فعل ثالثی مزید فیہ کا تعارف۱

۔ فعل ثالثی مزید فیہ کے ابواب۲

(۲ثالثی مزید فیہ ) 11 ثالثی مزید فیہ کے ابواب کا تفصیلی مطالعہ

(۱ہفت اقسام ) 12 ۔ صحیح۱

۔ مثال )واوی۔ یائی(۲

۔ مضاعف۳

۔ لفیف)مفروق اور مقرون(۴

(۲ہفت اقسام ) 13 ۔ ناقص )واوی۔یائی(۱

۔ مہموز)الفاء والعین والالم(۲

۔ اجوف۳

استاد تفصیالت خود طے کرے اور ان کو پڑھانے میں اطالقی انداز اخیتار کیا معلم االنشاء سے منتخب مطالعہ 14

جائے۔

پڑھانے میں اطالقی انداز اخیتار کیا استاد تفصیالت خود طے کرے اور ان کو معلم االنشاء سے منتخب مطالعہ 15

جائے۔

نصابی کتب نمبر شمار نام مصنف نام کتاب

1 عبدالستار خان عربی کا معلم )چاروں حصے( 2 معین ہللا ندوی تمرین صرف 3 محمد مصطفی ندوی تمرین النحو

17

4 موالنا عبدالماجد ندوی معلم االنشاء

5 موالنا مختار احمد مختار النحو

حوالہ جاتی کتب

نمبر شمار نام مصنف نام کتاب

1 علی جارم النحو الواضح

2 نعیم الرحمن اساس عربی

3 رشید الشرطوتی مبادئ العربیة في الصرف و النحو

4 عبدالرحمن امرتسری کتاب النحو

5 محمد مصطفی ندوی تمرین النحو

6 عبدالرحمن طاہر قواعد القرآن

7 جامعۃ الملک السعود، ریاض اللغة العربیة لغیر الناطقین بها

8 ڈاکٹر ابراہیم سورتی قرانی عریبک

18

19

20

Pool Course: Social Science-I

Course Title: SS-1 (Citizenship Education and Community Engagement)

Course Code: SOC-313

Credit Hours: 03

Course Objectives:

The overall objectives of this course are to:

1. Teach students the importance and role of active citizenship in promoting a productive, harmonious and

developed society/world

21

2. Educate students about the importance of concepts, skills and philosophy of community linkages in

developing a sustainable society

3. Inculcate the importance of community involvement for ensuring an improved, tolerant and generative

society/world

4. Provide an opportunity to the students to develop their relationship with the community

Learning Outcomes:

The primary outcome is inclusive development through active citizenship locally and globally, Moreover, the

following are the detailed outcomes of the course based on the three domains of Bloom’s Taxonomy i.e

Affective, Psychomotor and Cognitive. The students will be able to:

1. Understand the overall organization of the society

2. Recognize and exercise their rights, responsibilities and the significance of active citizenship in positive

societal development

3. Identify and critically evaluate social issues and implement practicable community based solutions

4. Understand the concept of human rights and its significance

5. Appreciate diverse viewpoints and inter-cultural harmony

Course Outline:

Introduction to Citizenship Education and Community Engagement

1. Meaning & History

2. Attributes of Active Citizenship

3. Different Approach

i. Republican Approach

ii. Liberal Approach

iii. Cosmopolitan Approach

1. Dimensions of Active Citizenship

i. Rights

ii. Membership

iii. Participation

iv. Identity

Identity, Culture, and Social Harmony

1. Sociological Theories of Self Formation

i. Sigmund Freud Theory

ii. George Herbert Mead Theory

iii. Charles Horton Cooley Theory

2. Cultural & Religious Harmony

3. Pluralism & Diversity

4. Democracy & Democratic Norms

1. Concept and Development of Identity

2. Components of Cultural and Social Harmony

Inter-Cultural Dialogue (me versus you)

1. Principles & Purpose

2. Ability to Support, learn and share through dialogue

3. Policy Dialogue (encourage young people to share their opinion and perspective with policy makers and

opinion makers.

Local & Global Communities

1. Concept of Community

2. Needs, Issues & Conflicts

3. Conflict Resolution

4. Communication & Networking

22

5. Social Cohesion

6. Social Capital

7. Social Networking

8. Advocacy

9. Social Entrepreneurship & Partnership

Social Action Planning

2. Skills in Project Planning & Management

3. Project Cycle

4. Stakeholder Analysis

5. Problem Identification

6. Writing Project Plan

7. Monitoring & Evaluation

8. Risk Analysis

Population Dynamics in Pakistan

1. Population Growth Pakistan

2. Factors Behind High Fertility Rate

i. Legislative Actions

ii. Dearth of Medical Facilities

iii. Delayed VS Early Age Marriages

iv. Poverty

v. Women Empowerment

vi. Spreading Awareness

vii. Providing Incentives

viii. Population Theory

ix. How to Control Population Growth?

Text and Reference Books:

Core Readings:

1. Larsen, A. K., Sewpaul, V., & Hole, G. O. (Eds.). (2013). Participation in community work: International

perspectives. Routledge.

2. Alan, T. (2008). Community work, London: Palgrave Macmillan.

3. British Council, (2017) Active Citizen’s Social Action Projects Guide (Scotland: British Council.

4. Kaye, C. B. (2004). The complete guide to service learning: Proven, practical ways to engage students

in civic responsibility, academic curriculum, & social action. Free Spirit Publishing.

5. Hans, R. (1993). Population Studies, Indian Council of Social Science Research, New Delhi.

6. Demeny, P., McNicoll, G., & Hodgson, D. (2003). Encyclopedia of population. Hodgson, Dennis (2003).

Contemporary Population Thought.

7. Peterson, W. (1975). Population, New York, Macmillan.

8. Srinivasan, K. (1998). Basic demographic techniques and applications. SAGE Publications Pvt. Limited.

9. Todaro, M. P. (1977). Economic Development in the Third World: An introduction to problems and

policies in a global perspective. Pearson Education.

10. United Nations Economic Commission for Europe – Official Web site

11. UNO (2000). Population Trends, World Population Monitoring, Population growth Structure and

Distribution 1999. Department of Economics and Social Affairs, Population Division, UNO.

12. Weeks, J. R. (1992). Population: An Introduction to Concepts and Issues, Belmart California, Wadsworth

Publishing Company.

23

PHY-321 MECHANICS-II


Objectives: The main objective of this course is to understand the concept of rotational dynamics

and their various properties, and to give basic understanding of laws of angular momentum and

gravitation and gravitational is daily life. This also give mathematical concept and expression of various

physical parameters used in mechanics.

Rotational Motion: Rotation about a Fixed Axis, Angular Position, Angular Displacement, Angular

Velocity and Angular Acceleration, Rotation under Constant Angular Acceleration, relationship

between Linear and Angular Variables, Rotational Inertia, Parallel-axis Theorem, Torque and Newton’s

Law for Rotation, Work and Rotational Kinetic Energy, Power, Rolling Motion, Angular Momentum

for a single Particle and a System of Particles, Conservation of Angular Momentum, Precession of a

Gyroscope, Static Equilibrium involving Forces and Torques, Determination of moment of inertia of

various shapes i.e. for disc, bar and solid sphere

Angular Momentum: Angular Velocity, Conservation of angular momentum, effects of Torque and its

relation with angular momentum

Gravitation: Gravitational effect of a spherical mass distribution, its mathematical treatment,

Gravitational potential energy (develop using integration techniques), Newton’s Law of Gravitation,

Gravitational Potential Energy, Escape Velocity, Kepler’s Laws, Satellite Orbits & Energy

Bulk Properties of Matters: Elastic properties of Matter, Physical basis of elasticity, Tension,

Compression and shearing. Elastic Modulus, Elastic limit. Poisson’s ratio, Relation between three type

of elasticity, Surface Tension, Viscosity, Physical basis, obtaining the Coefficient of viscosity, practical

examples of viscosity, fluid flow through cylindrical pipe (Poiseulle’s law)

Recommended Books:



ed. 2010.

3. R. A. Freedman, H. D. Young, and A. L. Ford (Sears and Zeemansky), “University Physics with

Modern Physics”, Addison-Wesley-Longman, 13th International ed. 2010.


1992.


ed. 2008.

PHY-322 ELECTRICITY AND MAGNETISM-II

Pre-requisite: Mechanics, Calculus I

Co-requisite: Calculus II


Objectives: The main objective of this course is to understand the inductance, and to

give the concept of alternating current circuits. To understand the use of Gauss’s Law, Faraday Law,

Ampere Law and their application. This is also a calculus-based introductory course with maximum

emphasis on applying the acquired knowledge to solving problems.

Inductance: Faraday’s Law of Induction, Review of emf, and Lenz’s Law, induced electric fields,

Calculation and application using differential and integral form, Inductance. “Basic definition”.

Inductance of Solenoid and Toroid. Energy Stored in a Magnetic Field, Energy Density. Induction and

Energy Transfers, Inductors and Inductances, Self-Inductance, RL Circuits, Mutual Induction.

24

Electromagnetic Oscillation, Qualitative discussion. Quantitative analysis using differential equations.

Forced electromagnetic oscillations and resonance

Alternating Current Circuits: Alternating current, AC current in resistive, inductive and capacitive

elements. Single loop RLC circuit, Series and parallel circuits i.e. acceptor and rejector, LC Oscillations,

Damped Oscillations in an RLC circuit, Alternating Currents, Forced Oscillations, Power in AC Circuits,

Phase angles, RMS values, power factor

Electro-Magnetic Waves (Maxwell’s Equations): Summarizing the electromagnetic equations,

(Gauss’s Law for electromagnetism, Faraday Law, Ampere’s Law). Induced magnetic fields &

displacement current. Development of concepts, applications. Maxwell’s equations, (Integral &

Differential forms), Discussion and implications. Generating an electromagnetic wave. Traveling waves

and Maxwell’s equations. Analytical treatment: obtaining differential form of Maxwell’s equations,

obtaining the velocity of light from Maxwell equations. Energy transport and Poynting Vector.

Analytical treatment and discussion of physical concepts.

Recommended Text Books:



ed. 2010.

3. R. A. Freedman, H. D. Young, and A. L. Ford (Sears and Zeemansky), “University

Physics with Modern Physics”, Addison-Wesley-Longman, 13th International ed. 2010.


1992.


ed. 2008.

25

Semester-III

S.

No


1 ELL-411 English III: Academic Reading and Writing 03

2 MATH-414 NS-II * ( Calculus II) 03

3 PHIL-412 QR-II (Logic and Quantitative Reasoning) 03

4 PHY-411 Waves and Oscillation 03(2+1)

5 PHY-412 Heat and thermodynamics 03

6 MATH-404 Discrete Structures 03

Total Cr. Hrs 18

COURSE TITLE: English III: Academic Reading & Writing


CREDIT HOURSS: 03

COURSE TYPE: Foundational

Course Description

This course aims at inculcating proficiency in academic writing through research. It guides students to

develop a well-argued and well documented academic paper with a clear thesis statement, critical thinking,

argumentation and synthesis of information. This course also teaches students how to use different systems

of citations and bibliography. It allows students to become independent and efficient readers armed with

appropriate skills and strategies for reading and comprehending texts at undergraduate level.

Course Objectives

To enable the students to:

1. Improve literal understanding, interpretation & general assimilation, and integration of knowledge

2. Write well organized academic texts including examination answers with topic/thesis statement and

supporting details.

3. Write argumentative essays and course assignments

Course Contents:

1. Read academic texts effectively by:

2. Using appropriate strategies for extracting information and salient points according to a given purpose

3. Identifying the main points supporting details, conclusions in a text of intermediate level

4. Identifying the writer’s intent such as cause and effect, reasons, comparison and contrast, and

exemplification

5. Interpreting charts and diagrams

6. Making appropriate notes using strategies such as mind maps, tables, lists, graphs.

7. Reading and carrying out instructions for tasks, assignments and examination questions

8. Enhance academic vocabulary using skills learnt in Compulsory English I course

9. Acquire efficient dictionary skills such as locating guide words, entry words, choosing appropriate

definition, and identifying pronunciation through pronunciation key, identifying part of speech, identifying

syllable division and stress patterns

26

10. Writing Academic Texts

Organization and development of effective compositions

1. employ appropriate strategies for prewriting, drafting, revising, and editing as part of the writing process

2. compose coherent paragraphs, supporting central ideas with specific details

3. Compose organized essays with genre-specific structure including thesis, introduction, body, and

conclusion.

4. demonstrate control of key conventions of standard written English

5. summarize a text objectively

6. respond to a text subjectively

7. analyze, synthesize, interpret, and evaluate information from multiple texts

8. apply active reading strategies such as skimming, scanning, questioning, and annotating

9. develop vocabulary; choose correctly among different forms of related words; evaluate differences in

diction, guess the meaning of unfamiliar words using context clues.

10. Skimming and scanning practice exercise with every above mentioned aspect of reading.

11. Combining sentences, Modals

12. Note: Teachers need to include practice activities, exercises and worksheets on the provided topics

Recommended Books:

1. English Practice Grammar (New edition with tests and answers) by Eastwood, J. 2004. Karachi: Oxford

University Press.

2. Fisher, A. 2001. Critical Thinking. C UP

3. Critical Reading and Writing: An Introductory Course. By Goatly, A. 2000. London: Taylor & Francis

4. A Writer's Reference. 2nd Ed. By Hacker, D. 1992. Boston: St.

Martin's

5. Study writing: A course in written English for academic and professional purposes. By Hamp-Lyons, L.

& Heasley, B. 1987. Cambridge: Cambridge University Press.

6. Oxford English for Undergraduates. By Howe, D. H, Kirkpatrick, T. A., & Kirkpatrick, D. L. 2004.

Karachi: Oxford University Press.

7. Grammar in Use. By Murphy, R. 2003. Cambridge: Cambridge University Press.

8. Write to be Read: Reading, Reflection and Writing. By Smazler, W. R. 1996. Cambridge: Cambridge

University Press.

9. Study Skills. By Wallace, M. 1992. Cambridge: Cambridge University Press.

10. Primary Texts: The Norton Field Guide to Writing, by Richard Bullock; or The St. Martin’s Guide to

Writing, by Rise Axelrod and Charles Cooper; or The Allyn and Bacon Guide to Writing, by John Ramage

and John Bean; or The Call to Write, by John Trimbu.

MATH-414 MATHEMATICS-II

Credit Hours: 03

Specific Objectives of the Course: To prepare the students, not majoring in mathematics, with the essential

tools of calculus to apply the concepts and the techniques in their respective disciplines.

Course Outline:

Preliminaries: Real-number line, functions and their graphs, solution of equations involving absolute values,

inequalities. Limits and Continuity: Limit of a function, left-hand and right-hand limits, continuity,

continuous functions.

Derivatives and their Applications: Differentiable functions, differentiation of polynomial, rational and

27

transcendental functions, derivatives.

Integration and Definite Integrals: Techniques of evaluating indefinite integrals, integration by substitution,

integration by parts, change of variables in indefinite integrals.

Recommended Books:

1. Anton H, Bevens I, Davis S, Calculus: A New Horizon (8th edition), 2005, John Wiley, New York

2. Stewart J, Calculus (3rd edition), 1995, Brooks/Cole (suggested text) Swokowski EW, Calculus and

Analytic Geometry, 1983, PWS-Kent Company, Boston Thomas GB, Finney AR, Calculus (11th edition),

2005, Addison-Wesley, Reading, Ma, USA.

STATISTICS-II

COURSE CODE: STAT-414

CREDIT HOURS: 03

Theory

Probability theory, Sample Space, counting sample points, Subsets, Events, Independent and Dependent Events,

Classical Probability, Laws of Probability, Conditional Probability, Sampling Techniques, Sampling Probability and

non-Probability Sampling, Sampling with and without replacement, Simple random Sampling, Stratified random

sampling, Systematic sampling, Sampling and Non-sampling Error, Sampling distribution of mean and difference

between two means. Estimation and testing of hypothesis, Type—I and type-II error, Confidence Interval for Difference

of Means, Confidence Interval for Population Proportion, Confidence Interval for the Differences Between Proportion,

Formulation of Hypothesis, Testing of hypothesis about mean and difference between two means using Z-test and t-test,

Paired t-test, One-tailed and Two-tailed tests, Test of association of attributes using X2 (chi-square) Testing hypothesis

about variance.

Practical’s

a. Sampling random sampling

b. Stratified random sampling.

c. Sampling distribution of mean

d. Testing of hypotheses regarding population mean

e. Testing of hypotheses about the difference between population means

f. Chi-square test

g. One-way ANOVA

h. Two-way ANOVA

Recommended Book

1. Introduction to Statistical Theory Part-II by Sher Muhammad and Dr. Shahid Kamal (Latest Edition)

2. Introduction to Statistical Theory Part-I by Sher Muhammad and Dr. Shahid Kamal (Latest Edition)

3. Statistical Methods and Data Analysis by Dr. Faquir Muhammad

Pool Course: Quantitative Reasoning (QR-II)

Course Title: Logic & Quantitative Reasoning

Course Code: PHIL-412

Credit Hours: 03

28

Course Type: Compulsory

Course Contents:

Basic Concept of Logic and Quantitative Reasoning:

1.Definition of Logic

2.The logic and Quantitative Reasoning.

3.The importance of Logic and Quantitative Reasoning

4.Propositions, Argument

Two main types of Reasoning

5. Inductive Reasoning

6. Deductive Reasoning

Formal and Informal Fallacies

7. Definition of fallacies

8. Kinds of fallacies

9. Some famous fallacies

10. The fallacy of Argument against person

11. The fallacy of Appeal to people

12. The fallacy of Appeal to pity

13. The fallacy of appeal to irrelevant authority

14. The fallacy of Red herring

The fallacy of false conclusion

Symbolic Logic, Quantitative Reasoning and Analytical Questions

15. The nature of analytical questions

16. Objects, names and quantity

17. Rules and conditions

18. Solving some selected analytical questions.

Language, Argument and Critical Thinking

1. The basic uses of language and Critical thinking

2. Discourse serving multiple functions

3. Logical Reasoning in selected paragraphs.

4. Reading comprehension and answer the questions at the end

Categorical Propositions, Categorical syllogism and Research Methodology

1. Introduction and Definitions of Variables in research.

2. Qualitative and Quantitative Research methods

3. Concept, Indicators, and Variables

4. Types of Variables.

5. Measurement scale.

6. Qualitative and Quantitative research.

7. Scale and Types of Measurement Scale.

Recommended Books:

1. Stewart, David and Blocker, Gene. H. (2006). Fundamentals of Philosophy. New Delhi: Pearson

Education.

2. Jackson, Sherri.L. (2008). Research Methods: A Modular Approach. USA: Thomson Higher Education.

3. Copi, Iring. M. And Cohen, Carl. (2009). Introduction to Logic. New Delhi: Pearson Education.

4. Copi, Iring. M., Cohen, Carl. Jetli, Priyadarshi. andPrabhakar, Monica. (2009). Introduction to Logic. New

Delhi: Dorling Kindersley Pvt, Ltd.

29

PHY-411 WAVES AND OSCILLATIONS Pre-requisites: Mechanics, Calculus II


Objective(s): To develop a unified mathematical theory of oscillations and waves in

physical systems

Simple and Damped Simple Harmonic Oscillation: Mass-Spring System, Simple Harmonic Oscillator

Equation, Complex Number Notation, LC Circuit, Simple Pendulum, Quality Factor, LCR Circuit

Forced Damped Harmonic Oscillation: Steady-State Behavior, Driven LCR Circuit, Transient Oscillator

Response, Resonance

Coupled Oscillations: Two Spring-Coupled Masses, Two Coupled LC Circuits, Three Spring Coupled

Masses, Normal Modes, Atomic and Lattice Vibrations

Transverse Waves: Transverse Standing Waves, Normal Modes, General Time Evolution of a Uniform

String, Phase velocity, Group Velocity

Longitudinal Waves: Spring Coupled Masses, Sound Waves in an Elastic Solid, Sound Waves in an Ideal

Gas

Traveling Waves: Standing Waves in a Finite Continuous Medium, Traveling Waves in an Infinite

Continuous Medium, Energy Conservation, Transmission Lines, Reflection and Transmission at Boundaries,

Electromagnetic Waves

Wave Pulses: Fourier Series and Fourier Transforms, Bandwidth, Heisenberg’s Uncertainty Principle

Multi-Dimensional Waves: Plane Waves, Three-Dimensional Wave Equation, Laws of Geometric Optics,

Waveguides, Cylindrical Waves

Interference and Diffraction of Waves: Double-Slit Interference, Single-Slit Diffraction

Recommended Books:

1. J. Pain, “The Physics of Vibrations and Waves”, John Wiley, 6th ed. 2005. 2. P. French, “Vibrations and Waves”, CBS Publishers (2003).

3. F. S. Crawford, Jr., “Waves and Oscillations”, Berkeley Physics Course, Vol. 3, McGraw-Hill, 1968.

4. A. Hirose, and K .E. Lonngren, “Introduction to Wave Phenomena”, Krieger Publications, 2003.

PHY-412 HEAT AND THERMODYNAMICS Pre-requisites: Mechanics

Co-requisites:Calculus-II Credit

Hours: Three (3)

Objective(s): To understand the fundamentals of heat and thermodynamics

Basic Concepts and Definitions in Thermodynamics: Thermodynamic system, Surrounding and

Boundaries. Type of systems. Macroscopic and microscopic description of system. Properties and state

of the substance: Extensive and Intensive properties, Equilibrium, Mechanical and Thermal Equilibrium.

Processes and Cycles: Isothermal, Isobaric and Isochoric. Zeroth Law of Thermodynamics,

Consequence of Zeroth law of Thermodynamics. The state of the system at Equilibrium.

Heat and Temperature: Temperature, Kinetic theory of ideal gas, Work done on an ideal gas, Review

of previous conc103epts. Internal energy of an ideal gas: Equipartition of Energy, Intermolecular forces,

Qualitative discussion, The Virial expansion, The Van der Waals equation of state.

Thermodynamics: First law of thermodynamics and its applications to adiabatic, isothermal, cyclic and

free expansion. Reversible and irreversible processes. Second law of thermodynamics, Carnot theorem

and Carnot engine. Heat engine, Refrigerators. Calculation of efficiency of heat engines.

Thermodynamic temperature scale: Absolute zero, Entropy, Entropy in reversible process, Entropy in

irreversible process. Entropy and Second law of thermodynamics, Entropy and Probability.

Thermodynamic Functions: Thermodynamic functions (Internal energy, Enthalpy, Gibb’s functions,

Entropy, Helmholtz functions), Maxwell’s relations, TdS equations, Energy equations and their

applications. Low Temperature Physics, Joule-Thomson effect and its equations. Thermoelectricity:

Thermocouple, Seabeck’s effect, Peltier’s effect, Thomson effect.

30

Introduction to Statistical Mechanics: Statistical distribution and mean values, Mean free path and

microscopic calculations of mean free path. Distribution of Molecular Speeds, Distribution of Energies,

Maxwell distribution, Maxwell Boltzmann energy distribution, Internal energy of an ideal gas, Brownian

Motion Legvaian equation, Qualitative description.

Recommended Books:

1. D. Halliday, R. Resnick and K. Krane, “Physics”, John Wiley, 5th ed. 2002. 2. D. Halliday, R. Resnick and J. Walker, “Fundamentals of Physics”, John Wiley, 9th ed. 2010.

3. M. W. Zemansky, “Heat and Thermodynamics”, Mc Graw Hill, 7th ed. 1997.

4. M. Sprackling, “Thermal Physics” McMillan 1991.

5. B. N. Roy, “Principle of Modern Thermodynamics”, Institute of Physics, London 1995.

MATH-404 DISCRETE STRUCTURES

Credit Hours: 03

Objectives: Introduces the foundations of discrete mathematics as they apply to Computer Science, focusing

on providing a solid theoretical foundation for further work. Further, this course aims to develop

understanding and appreciation of the finite nature inherent in most Computer Science problems and

structures through study of combinatorial reasoning, abstract algebra, iterative procedures, predicate calculus,

tree and graph structures. In this course more emphasis shall be given to statistical and probabilistic

formulation with respect to computing aspects.

Course Outline: Introduction to logic and proofs: Direct proofs; proof by contradiction, Sets, Combinatorics,

Sequences, Formal logic, Prepositional and predicate calculus, Methods of Proof, Mathematical Induction and

Recursion, loop invariants, Relations and functions, Pigeonwhole principle, Trees and Graphs, Elementary

number theory, Optimization and matching. Fundamental structures: Functions; relations (more specifically

recursions); pigeonhole principle; cardinality and countability, probabilistic methods.

Reference Material:

1.Kenneth H. Rosen, Discrete Mathematics and Its Applications, 6TH edition, 2006, Mcgraw Hill Book Co.

2.Richard Johnsonbaugh, Discrete Mathematics, 7TH edition, 2008, Prentice Hall Publishers.

3.Kolman, Busby & Ross, Discrete Mathematical Structures, 4th edition, 2000, Prentice- Hall Publishers.

4.Ralph P. Grimaldi, Discrete and Combinatorial Mathematics: An Applied Introduction, Addison-Wesley

Pub. Co., 1985.

31

Semester-IV

S.

No


1 Arts and Humanities-II 03

2 Social Sciences - II 03

3 PHY-421 Modern Physics 03

4 PHY-422 Optics 03(2+1)

5 PHY-423 Cosmology& General Theory of Relativity 03

Total Cr. Hrs 15

Pool Course: Arts & Humanities-II

Course Title: Introduction to Education

Course Code: EDU-414

Credit Hours: 03

COURSE CONTENTS:

Introduction:

1. Meaning and Definition of Education

2. Importance of Education

3. Modes of Education.

Foundation/Perspectives of Education: 4. Philosophical

5. Psychological

6. Socio-Cultural, and

7. Economic

Instructional Objectives:

8. Goals

9. Aim

10. Objectives

11. Importance of Learning Objectives.

12. Taxonomy of educational Objectives.

Teaching Methodology:

13. Traditional

14. Modern

15. Instructional Material.

16. Instructional Techniques.

Class Room Management:

17. Criteria for student’s classification

18. Need for classification

19. Psychological factors of classification in system of examination.

Learning:

20. Introduction

21. Meaning and Definition

22. Nature of Learning.

23. Factors effecting learning.

24. Approaches of Learning (Behavioral and Cognitive).

Educational Guidance and Counseling:

25. Definition and Nature of Guidance.

26. Role and Function of Guidance.

32

27. Counseling and its Principles.

COURSE RECOMMANDED BOOKS:

1. Elias, John L. and Merriam, Sharan. (1984). Philosophical Foundation of Education. Malabar Florida:

Krieger Publishing Company.

2. Friere, P. (1970). Pedagogy of the Oppressed: What we Consume. W.W.F and Richmond Publishing

Company.

3. Gutek, Gerald L. (1988). Philosophical Thinking in Educational Practice. Westport: Con,Praeger

Publisher.

4. Iqbal, M. (2001). Reconstruction of Religion Thoughts in Islam.National Education policies, (1972, 1979,

1998, 2010).


Course Title: Islamic History & Culture

Course Code: IS-422

Title Description

Semester 4th

Nature of Course Major (M-10)

Credit Hours 03

Objectives of the Course ۱۔ اسالمی تہذیب و تمدن کا تعارف کروانا

۔ دنیا کے مختلف عالقوں میں اسالمی تہذیب کے عروج و زوال کا جائزہ لینا۲

تہذیبوں سے اخذو استفادہ اور ان پر اسالمی تہذیب کے اثرات کا جائزہ لینا۔ دوسری ۳

Course Description

S.No. Title Description

۔ تہذیب کا مفہومI ۱تہذیب و تمدن کا تعارف۔ 1

۔ تمدن کا مفہوم۲

۔ ثقافت کا مفہوم۳

وتمدن کے ارکان۔ تہذیب ۲۔ تہذیب و تمدن کی بنیادII ۱تہذیب و تمدن کا تعارف۔ 2

۔ تہذیب و تمدن کی اہمیت۳

۔یونانی تہذیب۲۔ قبل از اسالم کی جاہلی تہذیب۱ دور نبوی سے قبل اہم تہذیبیں 3

۔ ہندوستانی تہذیب۵۔ مصری تہذیب۴۔رومی تہذیب۳

اسالمی تہذیب کی بنیادیں اسالمی تہذیب کے اصول ومبادی 4

عہد نبوی ودور خالفت راشدہ میں 5

تہذیباسالمی

وخالفت راشدہ میں اسالمی تہذیب کے ارتقاء کے اسبابملسو هيلع هللا ىلص ۔ عہد نبوی ۱

۔ خالفت راشدہ میں اسالمی تہذیب کے مظاہر۲

۔ دور بنو امیہ میں علمی ترقی۲۔ دور بنو امیہ کا تعارفI ۱دور بنو امیہ میں اسالمی تہذیب۔ 6

۔ دور بنو امیہ کے علمی مراکز۳

دور بنو امیہ میں اسالمی 7

IIتہذیب۔

۔ دور بنو امیہ کی معاشرتی ترقی۱

۔ دور بنو امیہ کے تہذیبی ترقی کے اسباب۲

۔ دور بنو امیہ کی تہذیبی ترقی کے نتائج۳

33

دور بنو امیہ میں اسالمی 8

IIIتہذیب۔

۔دور بنو امیہ میں اندرونی خلفشار۲۔ دور بنو امیہ کی مذہبی تحریکیں۱

۔ امویوں کے زوال کے اسباب۳

دور بنو عباس میں اسالمی 9

Iتہذیب۔

۔ دور عباسی کی علمی تحریکیں۲۔عباسی تہذیب کا آغاز۱

۔ دور عباسی کے علمی مراکز۳


IIتہذیب۔

۔ دور بنو عباس میں معاشرتی ترقی۲۔ دور بنو عباس میں تہذیبی ترقی۱

تہذیبوں سے مکالمہ۔ دور بنو عباس میں اسالمی تہذیب کا دوسری ۳


IIIتہذیب۔

۔دور بنو عباس کی مذہبی ۲۔ دور بنو عباس میں مسلمانوں کے کارنامے۱

تحریکیں

۔ دور بنو عباس کی سیاسی تحریکیں۳


IVتہذیب۔

۔ تاتاری حملے۲۔ صلیبی جنگیں۱

اور اس کے اسالمی تہذیب پر اثرات۔ عباسیوں کے زوال کے اسباب ۳

۔ اسپین میں اشاعت اسالمI ۱ اسپین میں اسالمی تہذیب 13

۔ اسپین میں مسلمانوں کے علمی کارنامے۲

۔ اسپین میں مسلمانوں کے علمی مراکز۳

۔ اسپین میں اسالمی تہذیب کی اشاعت کے اسبابII ۱ اسپین میں اسالمی تہذیب 14

تہذیب کے مظاہر۔ اسپین میں اسالمی ۲

۔ اسپین میں اسالمی تہذیب کے یورپی تہذیب پر اثرات۳

برصغیر پاک و ہند میں اسالمی 15

تہذیب و تمدن

۔ برصغیر پاک و ہند میں اسالمی تہذیبی کارنامے۱

۔ برصغیر پاک و ہند میں اسالمی تہذیب کی اشاعت کے اسباب۲

کے اثرات دوسری تہذیبوں پر۔ برصغیرپاک و ہند میں اسالمی تہذیب کی اشاعت ۳

نصابی کتب

نام کتاب نام مصنف نمبر

تاریخ تمدن اسالمی شاہ معین الدین ندوی 1

تاریخ اسالم اکبر شاہ نجیب آبادی 2

تاریخ االسالم السیاسی حسن ابراہیم حسن 3

البدایۃ النهایۃ ابن کثیر 4

اسالمی تہذیب کے درخشاں پہلو مصطفی سباعی 5

حوالہ جاتی کتب

نام کتاب نام مصنف نمبر

الکامل ابن اثیر 1

تاریخ تہذیب اسالمی) چاروں حصے( ڈاکٹر یسین مظہر صدیقی 2

ملت اسالمیہ کی مختصر تاریخ ثروت صولت 3

4 H.W Hazard An Atlas of Islamic History

5 S.F.Mehmood A Short History of Islam


Course Title: Introduction to Philosophy

Course Code: PHIL-411

Credit Hours: 03

Course Description: The course introduces undergraduate students to some of the main concerns in philosophy concentrating on

the works of major thinkers such as Plato, Aristotle, Descartes, Hume, Kant, Hegel, Marx, Kierkegaard,

34

Husserl, Sartre, Foucault, and Derrida, to name a few The class discussions will center on broad philosophical

concerns: the nature of philosophy, the nature and limits of human knowledge, the scope and limits of human

freedom, the differences between right and wrong conduct, the nature of good life, and the meaning and the

value of human existence. The students will thus be given introductory overview of different areas of

philosophy beginning with Plato. The topics for discussion will include: Morality, Free Will, Metaphysics

and Knowledge. The basic principles and methods of logical reasoning will be introduced and students will

be given opportunity to participate actively in class discussions.

Course Objectives:

1. Understanding basic concepts of philosophy in the fields of metaphysics, axiology, and epistemology.

2. Understanding of philosophical terms.

Course Contents:

1.A review of the history of philosophy.

2.A discussion on the major problems and methods of philosophy.

3.Studying the work of at least two philosophers from each of the following groups: 1. Greco-Roman

Philosophers Plato, Aristotle, Democritus, Pythagoras, Heraclitus, Protagoras, Epicurus, Seneca, and

Epictetus 2. Medieval Religious Philosophers Avicenna, Averroes, St. Thomas Aquinas 3. Renaissance

Philosophers Machiavelli, Erasmus, Thomas More.

4. Enlightenment and Sui Generis Philosophers: Copernicus, Descartes, Hobbes, Spinoza, Leibniz, Locke,

Berkeley, Hume, Kant.

5. Idealists: Fichte, Schelling, Schiller, Hegel.

6. Utilitarian Philosophers: Jeremy Bentham, J.S. Mill.

7. Romantic Reactionaries: Rousseau, Schopenhauer, Kierkegaard.

8. Materialist Philosophers: Feuerbach, Marx.

9. The Irrational Philosophers: Bergson, Freud.

10. Phenomenologists and Existentialists: Husserl, Heidegger, Sartre, Camus, Fanon.

11. Marxist Philosophers: Lukacs, Gramsci, Croce, Althusser.

12. Linguists, Semiotician, Structuralist, and Deconstructionists: Saussure, Levi-Strauss, Lacan, Barthe,

Foucault, Derrida.

Recommended Books:

1. Adorno, T.W., Aesthetic Theory. Tr. By C. Lenhardt. London: Routledge & Kegan Paul, 1984 2. Ahmad,

Absar, Concept of Self and Self-Identity in Contemporary Philosophy. Lahore: Iqbal Academy, 1986

3. Aldrich, Virgil. Philosophy of Art, New Jersey: Prentice Hall, 1963

4. Anne, Bruce, Metaphysics: The Elements. Oxford: Basil Blackwell, 1986

5. Aristotle, The Works of Aristotle, edited by W.D. Ross. Vol x. Politica, translated by Benjamin Jowett.

Oxford: Clarendon Press

PHY-421 MODERN PHYSICS

Pre-requisites: Mechanics, Electricity and Magnetism

Credit Hours: 03

Course Objectives:

Modern physics is serving the foundation of advanced subjects in physics. The course emphasizes to learn the

basic concepts of symmetry of the nature to understand the non-classical aspects of the Physics.

Course Contents: Special relativity, Frames of reference, Postulates of special relativity, time dilation, Length contraction, the

ultimate speed limit, Relativistic mass, Relativistic momentum, relativistic second law, mass and energy,

energy and momentum, massless particles, The Lorentz transformation, Inverse Lorentz transformation,

Lorentz transformation and velocities addition, simultaneity principles, Thermal radiation, Stefan Boltzmann

law, Wien Displacement law, Black body Radiation, Ultraviolet catastrophe, Rayleigh jean formula for

energy density distribution, Wien energy density distribution, Planck Radiation formula, X-rays, Photo electric

35

effect, Compton effect, De-Broglie waves, Particle diffraction, Davisson Germer and G.P Thomson

experiment for electron diffraction. The Nuclear atom, Rutherford experiment and scattering formula,

electron orbits and planetary model of atoms, Atomic spectra, electron waves in the atom, energy levels,

optical spectral series, vector atomic model, Quantization in Atomic world, the corresponding principle, The

Franck-Hertz experiment, Laser, The ruby laser, The Helium-neon gas laser schemes. Quantum numbers,

space quantization,

Text Books: (1) Concepts of Modern physics (latest edition) by Arthur Beiser

(2) Introduction to Atomic and Nuclear physics (HENRY SEMAT)

(3) R.A. Serway, C.J. Moses and C.A. Moyer, “Modern Physics”, Brooks Cole, 3rd ed. 2004.

(4) Paul A. Tipler and Ralph A. Llewellyn, “Modern Physics”, W H Freeman and Company 6th ed. 2012.

PHY-422 OPTICS Pre-Requisites: Waves and Oscillations


Objective(s): To understand the optical phenomena and their uses in physical systems

Propagation of Light & Image Formation: Huygens’ Principle, Fermat’s Principle, Laws of Reflection and

Refraction, Refraction at a Spherical Surface, Thin Lenses, Newtonian Equation for a Thin Lens.

Matrix Methods in Paraxial Optics: Ray Transfer Matrices, Thick Lens, Significance of System Matrix

Elements, Cardinal Points of an Optical System with examples, Optical Instruments including Simple

Magnifiers, Telescopes and Microscopes, Chromatic and Monochromatic Aberrations, Spherical Aberrations,

Coma, Distortion, Stops, Pupils, Windows

Superposition & Interference: Standing Waves, Beats, Phase and Group Velocities, Two- Beam and

Multiple-Beam Interference, Thin Dielectric Films, Michelson and Fabry-Perot Interferometers, Resolving

Power, Free-Spectral Range

Polarization: Jones Matrices, Production of Polarized Light, Dichroism, Brewster’s Law, Birefringence,

Double Refraction

Fraunhofer Diffraction: from a Single Slit, Rectangular and Circular Apertures, Double Slit, Many Slits,

Diffraction Grating, Dispersion, Resolving Power Blazed Gratings

Fresnel Diffraction: Zone Plates, Rectangular Apertures, Cornu’s Spiral

Coherence & Holography: Temporal Coherence, Spatial Coherence, Holography of a Point object and an

Extended Object

Laser Basics: Stimulated Emission, Population Inversion, Resonators, Threshold and Gain, Multilayered

Dielectric Films.

Recommended Books:

1. F. Pedrotti, L. S. Pedrotti and L. M. Pedrotti, “Introduction to Optics”, Pearson Prentice Hall, 3rd ed.

2007.

2. E. Hecht and A. Ganesan, “Optics”, Dorling Kindersley, 4th ed. 2008.

3. M. V. Klein and T. E. Furtak, “Optics”, John Wiley, 2nd ed. 1986.

4. K. K Sharam, “Optics: Principles and Applications”, Academic Press, 2006.

5. C. A. Bennett, “Principles of Physical Optics”, John Wiley, 2008.

36

PHY-423 Cosmology & General Theory of Relativity

Pre-Requisites: Modern Physics


Objective(s): This course is an introduction to Einstein’s theory of general relativity, and includes

applications to early universe cosmology

Cosmology: Fundamental of Particles-A history, the Electron and Proton, The Photon, The Neutron,

The Positron. Particle as Force mediators, Mesons. Particle Accelerators and Detectors, Linear

Accelerators, The Cyclotron, The Synchrotron, Available Energy, Colliding Beams. Detectors, Cosmic

Rays experiment. Four Forces and Their Mediating Particles, Quarks and Gluons, the Three Original

Quarks, The Standard Model and Beyond. Grand Unified Theories. The Expanding Universe, The Big

Bang Theory. The Beginning of Time. Matter and Antimatter

General Relativity:Principles of special relativity and relativistic mechanics: the addition of velocities

and Michelson-Morley experiment, Einstein’s resolution and its consequences, space- time, time dilation

and twin paradox, Lorentz boosts, four vectors, special relativistic kinematics and dynamics, variational

principle for free particle motion, light rays, observers and observations. The curved space time of

general relativity: testing of equality of gravitational and inertial mass, equivalence principle. Black

holes. Tensor algebra and tensor analysis.

Recommended books: 1. Gravity: an Introduction to Einstein’s General Relativity, J. B. Hartle (Addison-Wesley 2003).

2. Space-Time and Geometry: An Introduction to General Relativity, Sean Caroll (Addison- Wesley

2004).

ASSOCIATE DEGREE PHYSICS - Bacha Khan University

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