微積分 (MIT 18.01 Single Variable Calculus, Fall 2007)

課程內容

1. Derivatives, slope, velocity, rate of change
2. Limits, continuity - Trigonometric limits
3. Derivatives of products, quotients, sine, cosine
4. Chain rule - Higher derivatives
5. Implicit differentiation, inverses
6. Exponential and log - Logarithmic differentiation; hyperbolic functions
7. Hyperbolic functions (cont.) and exam 1 review
8. ...
   
9. Linear and quadratic approximations
10. Curve sketching
11. Max-min problems
12. Related rates
13. Newton's method and other applications
14. Mean value theorem; Inequalities
15. Differentials, antiderivatives
16. Differential equations, separation of variables