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Essential Mathematics
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Lesson 0: Some general instructions

Lesson 1: Functions1 Quiz

Lesson 2: Derivatives1 Topic

Lesson 3: Vector and Vector operations1 Quiz

Lesson 4: Integrals1 Quiz

Lesson 5: Matrix (Linear Algebra)

Lesson 6: Vector Differential Calculus: Grad, Div, Curl

Lesson 7: Vector Integral Calculus: Gauss theorem, Greens and Stokes

Lesson 8: Tensors and Tensor Notation1 Quiz

Lesson 9: Complex Numbers1 Quiz

Lesson 10: ODEs and its solution1 Quiz

Lesson 11: PDEs and its solution1 Quiz

Lesson 13: Taylor Series1 Quiz

Lesson 14: Fourier Series and FFT1 Quiz

Lesson 15: Numerical Differentiation1 Quiz

Lesson 16: Numerical Integration1 Quiz

Lesson 17: Probability and PDF1 Quiz

Lesson 18: Statistics and Regression1 Quiz
Lesson 19,
Topic 1
In Progress
Programming using MATLAB
This is a brief introduction to programming using GNU Octave or MATLAB. Consider this as a starting point and put the additional effort from your side to practice more programming. The assignments in this course are also designed to get familiarized with programming. So there is no shortcut here, just practice practice and practice !!
Assignment 4
Use MATLAB or Octave and redo the first assignment of plotting the functions sin(x), cos(x), and tan(x). Make sure that your graph is of publishable quality, including legends, axis titles, units. Use the template provided in Lesson zero and upload a pdf file.
[Upload all the assignments of module one as a single PDF file here.]