Topic outline

 

Dr. J. Sodha

http://maths.janaksodha.com

This series of DeskTop video lectures and face-to-face videos are designed to help college and University students quickly recap fundamental concepts. Initially, I will quickly cover as many topics as possible using only the minimum number of examples. Thereafter, I will come back to each topic and insert numerous examples with animations that will help to further clarify the concepts and cover any missing points.

Maths Level

 
1
Fundamentals: A quick look at the equals sign, brackets (), divide sign, indices, logs and functions.
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2
Graphs: Straight line, concept of a slope or gradient. I will add further DeskTop lectures here later (e.g. polynomials, etc.)
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3
Equations: A first look at the quadratic equation and how to find its roots. Also, the concept of simultaneous equations.
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4
Circle: Some of the interesting features of a circle that will be required for later DeskTop lectures.
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5
Trigonometry: Introduction to sin(.), cos(.) and tan(.) functions and trigonometry identities. Tangential and angular speed of a rotating phasor that is linked to sin(.) and cos(.) functions of time.
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6
Differentiation: Gradient of a function, turning points, optimization.
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7
Integration: Fundamentals, how to create an integral, various methods of integration and examples.
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8
Probability Theory: Fundamentals, probability histogram, probability density functions, random variables.
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9
Other: Mixture of resources for now ....
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Thanks !