MATH-106(en) / 6 credits

Teacher: Richter Florian Karl

Language: English


Summary

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

Content

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

  • Apply the skills and knowledge they acquired in Analysis 1.
  • Reason rigorously and analyse problems
  • Develop appropriate analytical tools for problem solving.
  • Analyze efficiently mathematical concepts for problem solving by means of examples and exercises

Teaching methods

 

 

lectures, exercises sessions in the classroom.

 

Assessment methods

Written exam

Supervision

Office hours No
Assistants Yes
Forum No
Others

Resources

Bibliography

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

Ressources en bibliothèque

Moodle Link

In the programs

  • Semester: Spring
  • Number of places: 230
  • Exam form: Written (summer session)
  • Subject examined: Analysis II (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Number of places: 230
  • Exam form: Written (summer session)
  • Subject examined: Analysis II (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Number of places: 230
  • Exam form: Written (summer session)
  • Subject examined: Analysis II (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Number of places: 230
  • Exam form: Written (summer session)
  • Subject examined: Analysis II (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Number of places: 230
  • Exam form: Written (summer session)
  • Subject examined: Analysis II (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Number of places: 230
  • Exam form: Written (summer session)
  • Subject examined: Analysis II (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Number of places: 230
  • Exam form: Written (summer session)
  • Subject examined: Analysis II (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Number of places: 230
  • Exam form: Written (summer session)
  • Subject examined: Analysis II (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Number of places: 230
  • Exam form: Written (summer session)
  • Subject examined: Analysis II (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Number of places: 230
  • Exam form: Written (summer session)
  • Subject examined: Analysis II (English)
  • Lecture: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
8-9CE12 CO2  
9-10   
10-11CM1100
CM1120
CO121
CO122
CO123
CO124
    
11-12    
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     

Monday, 8h - 10h: Lecture CE12

Monday, 10h - 12h: Exercise, TP CM1100
CM1120
CO121
CO122
CO123
CO124

Wednesday, 8h - 10h: Lecture CO2