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School / Prep
PREPA DES INP
Internal code
JP4VECTO
Description
Norm, distance, equivalences, examples of norms on R^n, l^p spaces
Topology of evn : balls and spheres, bounded parts of a nge, neighborhoods, open, closed, interior, adhesion, boundary
Cauchy sequences, complete spaces
Compact spaces
Continuity and uniformity continuity of applications, lipschitzian functions, case of linear applications (subordinate norm), bilinear applications case of finite dimension
Hilbert space
Teaching hours
- CIIntegrated courses18,67h
- TDMMachine Tutorial1,33h
Assessment of knowledge
Initial assessment / Main session - Tests
| Type of assessment | Type of test | Duration (in minutes) | Number of tests | Test coefficient | Eliminatory mark in the test | Remarks |
|---|---|---|---|---|---|---|
| Integral Continuous Control | Proctored homework | 1 |