Here are the course materials for Calculus, taught at Leiden University College the Hague in Fall 2015.
Lecturer: Owen Biesel
Email: bieselod@math.leidenuniv.nl (no longer valid)
Office Hours: Thursdays 1:00pm to 2:50pm in the large study area of floor 2.
Course documents
Homework Assignments
- Homework 1 (due September 10)
- Homework 2 (due September 24)
- Homework 3 (due October 8)
Readings
- 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
Supplemental Readings
- The fastest-changing day length of the year (pdf)
- Examples of the chain rule (pdf)
- Example of multi-variable extremization (pdf)
Helpful links
Have a helpful link to share? Let me know!