Here are the course materials for Calculus, taught at Leiden University College the Hague in Fall 2015.
Lecturer: Owen Biesel
Email: email@example.com (no longer valid)
Office Hours: Thursdays 1:00pm to 2:50pm in the large study area of floor 2.
- August 25: Basic algebra facts
- August 27: Continuity and differentiability
- September 1: The sum, product, and quotient rules
- September 3: Derivatives of exponentials and logarithms
- September 8: Derivatives of sine and cosine
- September 10: The chain rule
- September 15: First-, second-, and higher-order approximations
- September 17: Taylor’s Theorem
- September 22: Single-variable extremization
- September 24: Multi-variable extremization
- September 29: Integrals and antiderivatives
- October 1: Integration by substitution
- October 6: Integration to calculate areas
- October 8: Integration in polar coordinates
- The fastest-changing day length of the year (pdf)
- Examples of the chain rule (pdf)
- Example of multi-variable extremization (pdf)
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