| Code | Type | Head of UE | Department’s contact details | Teacher(s) |
|---|---|---|---|---|
| US-B1-SCMATH-005-M | Compulsory UE | TROESTLER Christophe | S835 - Analyse numérique |
|
| Language of instruction | Language of assessment | HT(*) | HE(*) | HTP(*) | HR(*) | HD(*) | Credits | Weighting | Term |
|---|---|---|---|---|---|---|---|---|---|
| Français | 30 | 30 | 6.00 | 6.00 | 2nd term |
| AA Code | Teaching Activity (AA) | HT(*) | HE(*) | HTP(*) | HR(*) | HD(*) | Term | Weighting |
|---|---|---|---|---|---|---|---|---|
| S-MATH-712 | Mathematical analysis I (part B) | 30.00 | 30.00 | 100.00% |
Objectives of general skills
- Understand "elementary" mathematics profoundly
- Understand one- and several-variable differential and integral calculus
- Give examples and counterexamples for definitions, properties, theorems, etc
- Understand and produce strict mathematical reasoning
- Write clearly and concisely
- Use mathematical vocabulary and formalism appropriately
- Make sense of formal expressions
- Rely on a picture to illustrate a concept, rationale, etc
- Solve new problems
- Abstract and manipulate theories and use these to solve problems
- Adapt an argument to a similar situation
UE's Learning outcomes
At the end of the instruction, the students will be able to manipulate the fundamental concepts and techniques of modern mathematical analysis, to have some autonomy in using them as well as an ability to manipulate the formalism and to put it in relation with more intuitive data (drawings, drafts of computations,...).
UE Content
Continuity (including the ε-δ definition) and derivability of functions of one real variable, Rolle's Theorem and the mean value theorem, Taylor expansions (with differential remainder), series, linear ordinary differential equations.
Prior experience
Sans objet
Term 1 for Integrated Assessment - type
- N/A
Term 2 for Integrated Assessment - type
- N/A
Term 3 for Integrated Assessment - type
- N/A
Resit Assessment for IT - Term 1 (B1BA1) - type
- N/A
Type of Teaching Activity/Activities
| A.A. | Type of Teaching Activity/Activities |
|---|---|
| S-MATH-712 |
|
Mode of delivery
| A.A. | Mode of delivery |
|---|---|
| S-MATH-712 |
|
Required Reading
| A.A. | |
|---|---|
| S-MATH-712 |
Required Learning Resources/Tools
| A.A. | Required Learning Resources/Tools |
|---|---|
| S-MATH-712 | Not applicable |
Recommended Reading
| A.A. | |
|---|---|
| S-MATH-712 |
Recommended Learning Resources/Tools
| A.A. | Recommended Learning Resources/Tools |
|---|---|
| S-MATH-712 | Sans objet |
Other Recommended Reading
| A.A. | Other Recommended Reading |
|---|---|
| S-MATH-712 | Not applicable |
Term 1 Assessment - type
| A.A. | Term 1 Assessment - type |
|---|---|
| S-MATH-712 |
|
Term 1 Assessment - comments
| A.A. | Term 1 Assessment - comments |
|---|---|
| S-MATH-712 | Not applicable |
Resit Assessment - Term 1 (B1BA1) - type
| A.A. | Resit Assessment - Term 1 (B1BA1) - type |
|---|---|
| S-MATH-712 |
|
Resit Assessment - Term 1 (B1BA1) - Comments
| A.A. | Resit Assessment - Term 1 (B1BA1) - Comments |
|---|---|
| S-MATH-712 | Not applicable |
Term 2 Assessment - type
| A.A. | Term 2 Assessment - type |
|---|---|
| S-MATH-712 |
|
Term 2 Assessment - comments
| A.A. | Term 2 Assessment - comments |
|---|---|
| S-MATH-712 | Not applicable |
Term 3 Assessment - type
| A.A. | Term 3 Assessment - type |
|---|---|
| S-MATH-712 |
|
Term 3 Assessment - comments
| A.A. | Term 3 Assessment - comments |
|---|---|
| S-MATH-712 | Not applicable |