Maths contribution in Engineering

Maths and Engineering

Presented By: Nadia Mughal

Engineering is the art or science of making

practical~ Samuel C. Florman

Mathematics is defined as

the study of quantities and relations with the help of numbers and symbols.

Engineering can be defined as a

specialized branch of science which constantly monitors the changing needs of the world. It also deals with the designing and manufacturing of the products that could make life simpler, fast and efficient.

Different fields of mathematics

Trigonometry - deals with the relations of the sides and angles of triangles and with the relevant functions of any angles

Geometry visuo-spatial reasoning

help with transformations analyze shape properties in

2- and 3 dimensionsLinear AlgebraStudy of vectors, vector spaces (linear

spaces)Linear maps (linear transformations)

System of linear equations

Differential Equations mathematical equations for unknown functions of one or more variables that relate the values of the functions by itself and its derivatives

Calculusworks on limits

functions,Derivatives

integrals and infinite series

Statisticsgood and efficient use of numerical data related to groups of individual

numeric.deals with the collections, analysis

and interpretations also the planning of the collection of data.

Cont. .

• Computer science engineering.

• Chemical engineering.

• Civil engineering.

• Mechanical engineering.

• Electrical engineering.

• Aerospace engineering.

Different fields of Engineering

•Electrochemical engineering.•Nuclear engineering.•Marine engineering.•Architectural engineering.•Environmental engineering.

Engineering Concepts

The Problem Solving Cycle:

• State the Problem

• Redefine the Problem

• Identify Constraints

• Add Specifications

• Look at potential causes

• Identify Possible Solutions

• Analyze the alternatives

• Select the Most practical Alternative

1. Problem Solving

Engineers use math to design machinery to carry out many different tasks.

Geometry is used to calculate the movements needed for a machine to do its job.

Algebra is used to determine the size and weight ratios for each part of the machine.

Calculus is used to determine how much work a machine can do efficiently without breaking down.

Civil, mechanical, industrial, aerospace and electricalengineering all use math to design machines.

2. Designing Machines

Math is used to engineer structures like bridges, skyscrapers and dams.

Engineers use calculus to determine how much force a structure can tolerate in order to ensure public safety.

The materials needed to build a structure are determined by algebraic formulas that take into consideration density, size, cost effectiveness and durability.

Trigonometry and geometry help engineers determine the overall design and shape of a structure.

3. Creating Structures

Civil, industrial and environmental engineers all use math to create structures.

Part of being an engineer involves learning to solve problems using math.

Engineers use math to create simulations that attempt to maximize safety, comfort, ease of use and profitability.

Simulations use equations from calculus, algebra and trigonometry to predict the outcomes of different scenarios.

4. Analyzing Simulations

Aerospace engineers use equations to measure how much rocket fuel would be needed to make a trip to the moon.Environmental engineers use math to simulate the

effects of a flood on a community food supply.Civil engineers analyze earthquake simulations to

develop safer buildings.

Making models involves determining the structure of things we cannot see or easily manipulate.

Models physically represent abstract ideas.

5. Developing Models

Chemical engineers use calculus to model the atomic structure of elements. Computer engineers use algebra to model electronic data within an operating system.Audio engineers use trigonometry to model sound

waves. These models are used by engineers to communicate with scientists in other disciplines and illustrate concepts for clients.

What is S T E M?

STEM stands for science, technology, engineeringand math. It emphasizes an integrated approach that underscores the interrelationship of science, technology, engineering, and mathematics.

It is impossible to engineer something with out the help of mathematics. Since the applications of mathematics in engineering are so vast and varied, it is not possible to summarize them.

Conclusion

Engineering + Maths = Everything

Enginnering – Maths = Nothing

Thanks for Listening!