Multivariate Calculus

Course Code :1001WETMRD
Study domain:Mathematics
Academic year:2019-2020
Semester:2nd semester
Contact hours:60
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 2nd semester
Lecturer(s)Sonja Hohloch
Jaume Alonso Fernandez

3. Course contents *

Chapter 1: Metric and normed spaces; sequences and series and their convergence.

Chapter 2: Continuity on metric and normed spaces.

Chapter 3: Differential calculus in several variables (derivative, partial derivative, higher derivatieves etc.); tangen spaces; important theorems (invers functions, implicit functions); Optimization and Lagrange multipliers.

Chapter 4: Integration (Riemann integral) in several variables; important theorems (Fubini, change of coordinates); path and surface integrals.