1. Introduction to calculus; 2. Derivatives; 3. Applications of the derivative; 4. The chain rule; 5. Integrals; 6. Exponentials and logarithms; 7. Techniques of integration; 8. Applications of the integral; 9. Polar coordinates and complex numbers; 10. Infinite series; 11. Vectors and matrices; 12. Motion along a curve; 13. Partial derivatives; 14. Multiple integrals; 15. Vector calculus; 16. Mathematics after calculus.
A textbook to learn calculus from, ideal both as a course companion and for self study.
Gilbert Strang received his Ph.D. from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. He is a Professor of Mathematics at MIT and an Honorary Fellow of Balliol College. Professor Strang has published eight textbooks. He received the von Neumann Medal of the US Association for Computational Mechanics, and the Henrici Prize for applied analysis. The first Su Buchin Prize from the International Congress of Industrial and Applied Mathematics, and the Haimo Prize from the Mathematical Association of America, were awarded for his contributions to teaching around the world.