Maths Starters course is meant to make you comfortable with basic Maths. The equations and graphs of physics are born from an experiment or Theory or Law . The most important thing is to imagine the scene, then come down to the Maths behind it.
Below is an experimental setup, where the rod of mild steel material is pulled apart in opposite directions. The rod stretches with the Load applied. Then a graph is born . It will have a Y axis and a X axis.
This course is meant to give you a comfortable introduction to get warmed up on basic Maths ability, required to handle basic Physics.
The above graph shows how a variable on the vertical axis, called “STRESS”, changes with different values of another variable on the horizontal axis , called “STRAIN”. The secret of how a material will behave under load is revealed by a single graph.
The important thing is get a feel for any variable ‘y’ as a function of variable ‘x’ , this 2-variable graph is the basic one. The question would be – Is it a straight line , i.e. linear ? Or is it a curved line ? If so, what is the Slope of the curve at various points ?
1) Basic Types of graphs :-
- straight line graph
- exponential curves
- Hyperbolic curves.
Learn what is Maxima and Minima points for curves.
2) TrigonometryÂ
- sine, cos and tan of any angle.
- example:- sine of a continuously varying angle :- this is applied in physics to a wave equation, also for the Amplitude of Simple Harmonic Motion of a Spring & Block System
3) Integration – what exactly is the physical meaning of Integration. Integration is applied in several chapters of physics theory as well as numericals
4) Differentiation
what exactly is the physical meaning of Differentiation . See in terms of a graph, and how does it help us to handle complex graphs made by equations. Differentiation is applied in several chapters of physics theory as well as numericals
Course Features
- Lectures 29
- Quiz 0
- Duration Lifetime access
- Skill level All levels
- Language English
- Students 182
- Certificate No
- Assessments Yes
- 1 Section
- 29 Lessons
- Lifetime
- Maths starters29
- 1.1Why Maths Starters?
- 1.2Vectors – what are they , How to Add, Subtract, Multiply…..
- 1.3Vectors versus Scalars
- 1.4Vectors – Addition
- 1.5Vectors- Multiplication
- 1.6vectors- Dot Product
- 1.7vectors – Cross-product multiplication and Right Hand Rule
- 1.8graphs and slopes
- 1.9Slope of a graph, why dy/dx
- 1.10Graph – Straight Line type
- 1.11Graphs coming from CONIC SECTIONS – Circle, Ellipse, Parabola, Hyperbola, and physics applications
- 1.12Graph – curved – Exponential type ( Graph – A )
- 1.13Graph-curved-Exponential Type-Graph-B
- 1.14Graph – curved – Exponential Type – Graph – C
- 1.15Graph- Resistivity versus Temperature
- 1.16Graph – Maxima and Minima
- 1.17Graph – Inverted ‘U’ shaped – Thermo-emf versus Temperature
- 1.18Graph- inverted U-shape-Projectile Motion (parabolic)
- 1.20Graph-hyperbolic- Pressure vs Volume (gas compression)
- 1.21Graph – Pressure vs Volume- Carnot Cycle (Thermodynamics)
- 1.22Graph- curves type – for Trigonometric functions
- 1.23Differentiation – why is it useful
- 1.24Differentiation of various functions – summary table
- 1.25Integration- Indefinite integral- example
- 1.26Integration- Definite Integral – example of Gravitational Field calculation
- 1.27Trigonometry basics
- 1.28X-Y-Z axes, planes and vectors
- 1.29Integration formulae summary table
- 1.30Solved problems
1 Comment
Nice explanation