This document provides an overview of how mathematics is applied in physics. It discusses several types of mathematics used in physics like algebra, calculus, geometry, statistics and trigonometry. It also explains concepts like dimensional analysis, graphing data, linear relationships described by equations like y=mx+b, and non-linear relationships modeled by quadratic and inverse equations. The document was presented by a group of five students and provides examples of using different mathematical concepts in physics.

1. TOPIC :APPLICATIONOF MATHEMATICS:
WELCOME TO
PRESENTATION

2. • ZohaibBaber 22101001-057
• MuhammadBurhan 22101001-065
• AawaizAzhar 22101001-041
• Daniyal Malik 22101001-052
• Ali Hassan 22101001-093
Group Members:

3. MATHEMATICS IN PHYSICS:
• Physics Uses mathematicsas a powerfullanguage.
• Math and physics are two closely connected fields.
• In physics,equationsare important tools for modeling observationsandfor making
predictions.
• For example, Newton invented calculus to help describe motion.

4. TYPES OF MATH USED IN PHYSICS:
There are many types of math you may apply when working in physics. The
most common fields of mathematics that physics professionals use include:
• Algebra
• Calculus
• Geometry
• Statistics
• Trigonometry

5. DEMENSIONAL ANALYSIS:
• Choose a conversion factorthatwill make the units cancel,leavingthe answer in the correct
units.
• For example:
• To convertl.34kg of iron ore to grams,do as shown below:
• = 1.34 kg [1000g/1kg]
• = 1340

6. What is dimensional analysis
and uses
Dimensional analysis the study of the relationship between physical
quantities with the help of dimensions and units of measurement are
called dimensional analysis
Example
The answer would be in k,g,slash,m,squared,kg/m2.
Use of dimensional analysis
We make use of dimensional analysis for three prominent reason
• Dimensional equation
• To derive the relation
• Change unit

7. Limitation of dimensional
analysis
Some limitation of dimensional analysis
• Dimensional constant
• The formula containing trignometric
function,exponentional function,logarithm
function etc canot be derived
• Sector and vector

8. GRAPHING DATA:
• Graphing data is a pictorial method of
representing data.
• The points on the graph represent the
relation between two or more things.
• The relationship can be written as an equation.
Y= mx+b

9. LINEAR RELATIONSHIP:
• The slope is the ratio of the verticalchangeto the horizontalchange.
• It can be expressed in either graphical format or mathematical
format.
• The relationship can be written as an equation:
y= mx+b
• There are three types of linear equations.
1.Standard form 2. Slope intercept form
3. Point slope form

10. NON LINEAR RELATIONSHIP:
• The graphshown in the figureis quadraticrelationship.
• A quadraticrelationship exists when one variable depends
on the squareof another.
• A quadraticrelationship canbe represented by the following
equation:
Y=ax²+bx-c

11. NON LINEAR RELATIONSHIP:
• In an inverse relationship,a hyperbola results when one
variabledependson the inverse of the other.
• An inverse relationship canbe represented by the
following equation:
Y=A/X

12. THANK YOU