Till KTH:s startsida Till KTH:s startsida

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.