Courses Detail Information
VV115 – Calculus I
Instructor: Horst Harold Hohberger
Instructors (Faculty):
Credits: 4 (No credit after Vv156 or Vv186.)
Pre-requisites: None
Description:
The present course covers the calculus of functions of a single real variable. Mathematical background knowledge will be reviewed as needed.Topics include properties of rational, real and complex numbers; sequences, convergence; functions, convergence and continuity; polynomial, rational, trigonometric, exponential and inverse functions; the derivative and applications; extrema, monotonicity, convexity, asymptotes and curve sketching; series and power series, Taylor expansions.
Course Topics:
- Rational, real and complex numbers
- Sequences of real numbers; limits of sequences
- Real functions and their properties
- Limits and continuity of real functions
- The derivative and applications
- Behavior of functions and curve sketching