Coursebooks 2017-2018

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Analysis II (English)

MATH-106(en)

Lecturer(s) :

Mountford Thomas

Language:

English

Summary

The course studies fundamental concepts of analysis and the calculus of functions of several variables.

Content

-The Euclidean space R^n.

-Vector functions and curves

-Differentiation of functions of several variables.

-Multiple integrals

-Ordinary differential equations.

Keywords

Euclidean vector space, partial derivative,differential, Jacobian, Hessian, Taylor expansion, gradient, chain  rule, implicit function theorem, Lagrange multipliers, multiple integrals, ordinary differential equation

Learning Prerequisites

Required courses

Analysis I, Linear Algebra I

Important concepts to start the course

-calculus of functions of one variable

-concepts of convergence

-vector space, matrices, eigenvalues

Learning Outcomes

Teaching methods

Ex cathedra lectures, exercises sessions in the classroom.

Assessment methods

Written exam

Supervision

Office hours No
Assistants Yes
Forum No
Others

Tutoring of exercises

other measures to be defined

Resources

Bibliography

Jacques Douchet and Bruno Zwahlen: Calcul différentiel et intégral. PPUR, 2011.

Websites

In the programs

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
Under construction
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German