**Duration:**

**Number of lectures per week:** 2 lectures per week in Michaelmas Term, 2.5 in Hilary and
Trinity Terms, plus a tutorial every third week.

**Assessment:** Work during the year counts ?% towards the final result.

**End-of-year Examination:** Three hour exam. Result is combined with results of 1S2/4 and
1S3.

**Description: **

- Differentiation of functions of one variable.
Anton (Calculus): Chapters 2-3. Chapter 1, sections 1.1, 1.2, 1.4 assumed known.

- Antiderivatives and integration.
Anton (Calculus): 7.1-7.5, 7.8.

- Trigonometric and hyperbolic functions, and the corresponding inverse
functions; logarithmic function, exponential function.
Anton (Calculus): 3.4 and Chapter 4. Also part of 7.6.

- Introduction to partial derivatives.
Anton (Calculus): Part of 15.3

- Polynomials, sequences and series, including simple convergence tests.
Anton (Calculus): 11.1-11.6, 11.8.

- Complex numbers.

*Essential Reference*

- Howard Anton, Calculus: a new horizon (6th edition), Wiley, 1998.

Nov 13, 2000

File translated from T

On 13 Nov 2000, 09:19.