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Mathematics

Code Cours
2223-JUNIA-L2S2-CIR2-Math
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Establishment
JUNIA Grande école d'ingénieurs
Teaching content
Bachelor computers & networks 2nd year
Training officer(s)
G.CHÊNEVERT, O.ROSSINY
Stakeholder(s)
G.CHÊNEVERT, G.CALABRESE, X.TRUBLIN
Level
Bachelor
Program year
2
Period
S2

Présentation

Prerequisite
• Contents of the CIR1 Mathematics class (hence a fortiori of high school math)

• First term of CIR2 Mathematics
Goal
• To acquire the basic mathematical notions pertaining to the practice of engineers in computer science.

• To appreciate the power (and shortcomings) of abstract reasoning when it comes to answering concrete questions.

• To develop the use of computer algebra and visualization tools as a means to enhance intuition and stimulate problem-solving.

• To acquire communication skills allowing the student to explain their ideas to their peers.
Presentation
• Some complex analysis (power series)

• Linear algebra, continued

• Group actions and applications to counting

• Endomorphisms: determinant, diagonalization

• Inner product spaces

• Introduction to Fourier series

Modalités

Forms of instruction
Lectures, problem sessions and lab works
Organization
Type Amount of time Comment
Face to face
Lectures - face to face 70,00
Exercises 26,00
Independent study
Independent study 70,00
Overall student workload 166,00
Evaluation

Ressources

Bibliography
Mathématiques tout-en-un MP / MP* - C. Deschamps & A. Warusfel

3e édition, collection J'intègre, Dunod, 2009

Analyse et algèbre - S. Balac & L. Chupin

Cours de 2e année à l'INSA Lyon, Presses polytechniques et universitaires romandes, 2008

Calculus and analytic geometry - G. Thomas & R. Finney

9th edition, Addison-Wesley, 1996