Differential and integral calculus in space

Code Cours
2021-ISEN-L2S1-CIR2-Math
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
Period

Présentation

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

• Functions of several variables

• Geometry of curves

• Multiple integration

• Differentiation

• Vector analysis

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

Internet resources
Page web du cours
Incluant journal de bord et notes de cours en ligne
Campus numérique
Page du cours sur le campus numérique de l'ISEN