Single Variable Calculus

Lecturer: Professor David Jerison
College/University: Massachusetts Institute of Technology (MIT)

1. Derivative: Geometric Interpretation
   
2. Derivative as Rate of Change, Differentiability, and Continuity of Functions
   
3. Derivatives of Products, Quotients, and Trigonometric Functions
   
4. Chain Rule and Higher Derivatives
   
5. Implicit Differentiation and Inverses
   
6. Exponetial and Logarithmic Differentiation; Hyperbolic Functions
   
7. Hyperbolic functions (cont.)
   
8. Linear and quadratic approximations
   
9. Curve Sketching
   
10. Max-min Problems
    
11. Related Rates
    
12. Newton's method and other applications
    
13. Mean Value Theorem; Inequalities
    
14. Differentials, antiderivatives
    
15. Differential equations, separation of variables