Analysis II (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
- 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
Mo | Tu | We | Th | Fr | |
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 |
Légendes:
Lecture
Exercise, TP
Project, other