MATH-106(en) / coefficient 6

Teacher: Richter Florian Karl

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

## 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.

Written exam

## Supervision

 Office hours No Assistants Yes Forum No Others

## Bibliography

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

## 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
• Type: mandatory
• 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
• Type: mandatory
• 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
• Type: mandatory
• 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
• Type: mandatory
• 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
• Type: mandatory
• 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
• Type: mandatory
• 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
• Type: mandatory
• 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
• Type: mandatory
• 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
• Type: mandatory
• 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
• Type: mandatory

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