SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY ALL ENGINEERING DEPARTMENT (D to D) MID SEMESTER-1I EXAMINATION SYLLABUS NAME OF SUBJECT: Advanced Engineering Mathematics SUBJECT CODE: 2130002 SEMESTER: III PERCENTAGE OF MID SEM EXAM SYLLABUS: 45 % CH. NO. TOPIC 1 Ordinary Differential Equations: First order differential equations: basic concepts, Geometric meaning of y’ = f(x ,y) Exact differential equations, Integrating factor, Linear differential equations, Bernoulli equations, Linear differential equations of second and higher order: Homogeneous linear differential equations of second order, Wronskian , Solution by undetermined coefficients, Solution by variation of parameters Higher order linear differential equations (CF) 2 Series Solution of Differential Equations: Power series method, Theory of power series methods 3 Laplace Transforms and Applications: Definition of the Laplace transform, Inverse Laplace transform, Linearity, Shifting theorem, Convolution and integral equations. 4 Periodic function, Trigonometric series, Fourier series, Functions of any period, Discontinuous function .Even and odd functions, Dr Shailja Sharma Dr Poonam Darbar Subject Coordinators Head, General Dept.
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SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY
ALL ENGINEERING DEPARTMENT
(D to D)
MID SEMESTER-1I EXAMINATION SYLLABUS
NAME OF SUBJECT: Advanced Engineering Mathematics
SUBJECT CODE: 2130002
SEMESTER: III
PERCENTAGE OF MID SEM EXAM SYLLABUS: 45 %
CH. NO. TOPIC
1
Ordinary Differential Equations: First order differential equations: basic
concepts, Geometric meaning of y’ = f(x ,y) Exact differential equations,
Integrating factor, Linear differential equations, Bernoulli equations, Linear
differential equations of second and higher order: Homogeneous linear differential
equations of second order, Wronskian , Solution by undetermined coefficients,
Solution by variation of parameters Higher order linear differential equations (CF)
2 Series Solution of Differential Equations: Power series method, Theory of power
series methods
3 Laplace Transforms and Applications: Definition of the Laplace transform, Inverse
Laplace transform, Linearity, Shifting theorem, Convolution and integral equations.
4 Periodic function, Trigonometric series, Fourier series, Functions of any period,
Discontinuous function .Even and odd functions,
Dr Shailja Sharma Dr Poonam Darbar
Subject Coordinators Head, General Dept.
SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY
ALL ENGINEERING DEPARTMENT
MID SEMESTER-II EXAMINATION SYLLABUS
NAME OF SUBJECT: Advanced Engineering Mathematics
SUBJECT CODE: 2130002
SEMESTER: III
PERCENTAGE OF MID SEM EXAM SYLLABUS: 50 %
CH. NO. TOPIC
1
Ordinary Differential Equations and Applications: First order differential
equations: basic concepts, Geometric meaning of y’ = f(x,y) Exact differential
equations, Integrating factor, Linear differential equations, Bernoulli equations,
Orthogonal trajectories of curves. Linear differential equations of second and higher
order: Homogeneous linear differential equations of second order, Euler- Cauchy
Equations, Wronskian, Non homogeneous equations, Solution by undetermined
coefficients, Solution by variation of parametersHigher order linear differential
equations, Higher order homogeneous with constant coefficient, Higher order non
homogeneous equations. Solution by [1/f(D)] r(x) method for finding particular
integral.
2 Series Solution of Differential Equations: Power series method, Theory of power
series methods, Frobenius method.(case 1)
3 Partial Differential Equations and Applications: Formation PDEs, Solution of
Partial Differential equations f(x,y,z,p,q) = 0, Nonlinear PDEs first order, Some
standard forms of nonlinear PDE,
4 Fourier Series Even and odd functions, Half-range Expansion.
Dr Shailja Sharma Dr Poonam Darbar
Subject Coordinators Head,General Dept.
SILVER OAK COLLEGE OF ENGINEERING AND TECHNOLOGY
CIVIL ENGINEERING DEPARTMENT
3rd SEMESTER- 2017
SUBJECT: SURVEYING
SUBJECT CODE: 2130601
Theodolite Traversing: Introduction, definitions, the vernier transit theodolite, temporary
and permanent adjustment of theodolite, measuring horizontal and vertical angles, methods
of traversing, closing error, computation of latitudes and departure, check in closed and
open traverse, balancing of traverse, Gale’s table, traverse area, omitted measurements
Trigonometric levelling: Indirect levelling, levelling on steep ground- methods.
Curves: Elements of a compound and reverse curves, transition curve, types of transition
curve, combined curve, types of vertical curves
Computation of Areas: Methods to compute area of traverse- Determining areas from
Plans, Trapezoidal rule Simpson’s rule, Use of planimeter Computation of Volumes-
Volume from cross sections, Trapezoidal and Prismoidal formulae, Prismoidal correction,
Curvature correction, Determination of capacity of reservoir and volume from borrow pits.
Hydrography: Introduction, purposes, control points, soundings, instruments & methods of
locating soundings
Asst. Prof. Yamee Thakaar Asst. Prof. Jay Panchal
Subject Co-ordinator Subject Co- Coordinator
SILVER OAK COLLEGE OF ENGINEERING AND TECHNOLOGY
CIVIL ENGINEERING DEPARTMENT
3rd SEMESTER
SUBJECT: FLUID MECHANICS
SUBJECT CODE: 2130602
MODULE: III
Fluid Statics
Buoyancy and Flotation:
Buoyant force, Buoyancy and Center of Buoyancy, Archimedes Principle, Metacentre and
Metacentric height, Equilibrium of floating and submerged bodies, Metacentric height evaluation –
theorectical and experimental method, Oscillation of floating body
Fluid Kinematics Fluid flow methods of analysis of fluid motion, Streamlines, Path lines, Streak lines and Stream tubes
Types of fluid flow-Steady and unsteady flow, Uniform and non-uniform flow, Laminar and turbulent