MATH-106(en) / 6 credits

Teacher: Marcus Adam Wade

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

  • The goal of this course consists as for Analysis 1 is that students acquire the following capacities:
  • Consolidate the skills and knowledge they acquired in Analysis 1.
  • Reason
  • rigorously and to analyse problems
  • Choose
  • appropriate analytical tools for problem solving.
  • Conceptualize problems
  • Apply
  • efficiently mathematical concepts for problem solving by means of examples and exercises
  • Analyze
  • and to solve new problems.
  • Master the basic tools of analysis
  • Master the basic tools of elementary ordinary differential equations, the Euclidean space R^n and functions of several variables

Teaching methods

Ex cathedra 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.

Websites

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
8-9     
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