Description:• Today, I woke up with a need to write a small textbook to introduce people to
Calculus. I remember encountering huge difficulties when I first began to learn calculus in the 9. grade because of what the textbooks took as preliminaries, and did not care to elaborate on.
• This small 7-page textbook assumes
no knowledge of limits and trigonometry.• I try to be as rigorous as possible, but this is merely an introduction text which has the purpose of helping those who wish to learn some higher mathematics ahead of time.
• This textbook follows the
Tau Manifesto (
http://tauday.com/).
What you will learn:• Taking derivatives of polynomials, logarithms, exponentials and trigonometric functions
• Integration, Integration by Parts
• The natural logarithm and the constant e
• Imaginary Numbers
• Euler's Formula
• Partial Derivatives
• Cauchy-Riemann Equations
More Tutorials:Note: If there is any request I will be doing some more tutorials. These are the topics I would feel comfortable with:
1. Complex or Vector Analysis
2. Physics Simulations (specifically, Verlet Integration) with examples in GM8
3. Dimensional Analysis and Simple Solutions of Navier-Stokes Equations
4. Special and General Relativity and Tensors
5. Simple Topics in Electronics
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