MATH-106

Where and when: Monday (room ***) and Wedensday (room ***), 8:15-10:00.

Exercises: Monday 10:15-12:00 (rooms ***)

Assistants: 

***

Tutors:

***

Description: 
Continueing Analysis I, we study core concepts of analysis with a particular focus on multivariate calculus and differential equations.

The core topics of the class will be

  • Curves, surfaces and planes
  • The Euclidian space and functions of several variables
  • Limits and continuity in several variables
  • Differentiation of functions of several variables
  • Extrema of functions, unconstrained and constrained
  • Gradient, Laplacian, Jacobian, Hessian etc
  • Multi-dimensional integrals
  • Linear differential equations
 
Text: We will loosely follow 
 
J. Douchet and B. Zwahlen, Calcul differential et integral, 2011
 
as well as notes on various selected topics.
 
Prerequisites: It is expected that students have passed Analysis I and Linear Algebra.
Class notes: The class is given through a tablet and all notes are available right after class on the moodle page.
Exercises: There will be weekly exercises throughout the semester. 
Exams: The exam will be a written examination.
Grading: Grading will be based solely on the written examination.