1) Mathematics involves quantities, numbers, and symbols and is used to study relationships. Engineering applies science to design and manufacture products to make life simpler, faster and more efficient. 2) Engineers use math like geometry, algebra, calculus, and trigonometry to solve problems, design machines, and create structures like bridges and buildings. 3) They also use math to analyze simulations, develop models, and predict outcomes to maximize safety and efficiency in areas like aerospace, environmental and civil engineering.

1. Maths and Engineering
Presented By: Nadia Mughal
Engineering is the art or science of making
practical
~ Samuel C. Florman

2. 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.

3. 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 dimensions
Linear Algebra
Study of vectors, vector spaces (linear
spaces)
Linear maps (linear transformations)
System of linear equations

4. Differential Equations
mathematical equations for
unknown functions of one or
more variables that relate
the values of the functions by
itself and its derivatives
Calculus
works on limits
functions,
Derivatives
integrals and infinite series
Statistics
good 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..

5. • 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.

6. Engineering Concepts

7. 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

8.  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 electrical
engineering all use math to design machines.
2. Designing Machines

9.  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.

10.  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.

11.  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.

12. What is S T E M?
STEM stands for science, technology, engineering
and math. It emphasizes an integrated approach
that underscores the interrelationship of science,
technology, engineering, and mathematics.

13. 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

14. Thanks for Listening!