Course content

Information about the aim and scope of the course is given in the course plan.

The following chapters from the text book Calculus are covered:

* Chapter P. Preliminaries
* Chapter 1. Limits and continuity
* Chapter 2. Differentiation
* Chapter 3. Transcendental functions
* Chapter 4. More applications of differentiation
* Chapter 5. Integration
* Chapter 6. Techniques of integration
* Chapter 7. Applications of integration
* Chapter 8. Conics, parametric curves and polar curves
* Chapter 9. Sequences, series and power series
* Section 18.6. Non-homogeneous linear ODE
For aims and scope and for a detailed plan of the course, please see the course plan and the page Recommended exercises (main menu). The following sections can be skipped: ¶

4.7, 4.11, 6.7-6.8 (except for the part about Taylor's formula in 6.8),4, 6.7, 7.9, 8.3, 8.4, 8.6 samt 9.4-9.9.¶

I section 6.8 only the part about Taylor's formula is part of the course, nothing else.¶

I sections 7.74-7.9, 8.6, 9.4-9.9.8 you don't need to memorise formulas from physics, economics etcetera, but you need to learn the method of Riemann sums. ¶