Course 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. Teachers/lecturers (anywhere in the world), you can help by
  • contributing videos or questions with solutions. Your surname will be placed next to your video or PDF file. A brief bio with a photo can be inserted if you wish or a link to your home page.
  • send me feedback via janaksodha@yahoo.com on specific examples or topics you would like to be inserted.
  • Link to this free resource using http://maths.janaksodha.com
Maths LevelDr. Janak Sodha
 
1
Ready for some fun?Fundamentals: A quick look at the equals sign, brackets (), divide sign, indices, logs and functions.
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2
Sodha at work!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
ComputerEquations: A first look at the quadratic equation and how to find its roots. Also, the concept of simultaneous equations.
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4
CirclesCircle: Some of the interesting features of a circle that will be required for later DeskTop lectures.
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5
WohTrigonometry: 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
Its not that badDifferentiation: Gradient of a function, turning points, optimization.
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7
Thats me in 10 years! Integration: Fundamentals, how to create an integral, various methods of integration and examples.
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8
I am busy as a bee trying to create more videosProbability Theory: Fundamentals, probability histogram, probability density functions, random variables.
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9
University Level.Fourier Analysis : University level mathematics. I will add complex numbers at some stage.
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