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**Email:** bieselod@math.leidenuniv.nl (no longer valid)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

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