Calculus

Full course description

From high school, most students will be familiar with some basic techniques related to the analysis of functions of a single variable. Usually this includes techniques for calculating zero’s, for determining maxima and minima, for finding asymptotes and for drawing graphs. There will also have been some emphasis on calculating slopes by means of differentiation and on calculating areas or volumes through the computation of integrals. In this course, these techniques are put into a broader perspective. The following subjects will be highlighted during the course: limits and continuity, differentiation and integration, the mean value theorem, Taylor polynomials, sequences and series & differential equations. Many examples shall be provided to clarify the issues and to demonstrate the broad range of practical applications. Besides, many exercises shall be provided to practice computational skills.

• Functions
• Limits and continuity
• Intermediate Value Theorem
• Derivatives
• Rules of differentiation
• Taylor Polynomials
• Maxima and Minima
• Integration
• Definite and indefinite integrals
• Applications of integration