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, 6.4, 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 7.4-7.8 you don't need to memorise formulas from physics, economics etcetera, but you need to learn the method of Riemann sums.