Diffenrential and integral calculus

lmat1121  2020-2021  Louvain-la-Neuve

Diffenrential and integral calculus
Due to the COVID-19 crisis, the information below is subject to change, in particular that concerning the teaching mode (presential, distance or in a comodal or hybrid format).
5 credits
30.0 h + 30.0 h
Q1
Teacher(s)
Language
French
Prerequisites


Content
  • Introduction to functions
  • Vectors and vector-operations
  • Functions of several variables: geometric desciption, limits, continuity, differentiability, optimisation of functions of two variables
  • Multiple integrals: polar and spherical coordinates, change of variables
  • Differential equations of first and linear of second order
  • Taylor expansions
Teaching methods

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

Learning activities consist of lectures and exercise sessions.
The lectures aim to introduce fundamental concepts, to explain them by showing examples and by determining their results, to show their reciprocal connections and their connections with other courses in the programme for the Bachelor in Mathematics.
The exercise sessions aim to teach how to select and use methods to solve problems and calculation methods.
Evaluation methods

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

Learning will be assessed by tests during the semester and by a final examination. The questions will ask students to:
- reproduce the subject matter, especially definitions, theorems, methods, and examples
- select and apply methods from the course to solve problems and exercises
- adapt methods from the course to new situations
-summarise and compare topics and concepts.
Assessment will focus on
- knowledge, understanding and application of the different mathematical methods and topics from the course
- precision of calculations
- rigour of arguments, reasonings, and justifications
- quality of construction of answers.
Bibliography
Livre "Calculus - Early Transcendentals" par W. Briggs, L. Cochran et B. Gillet, éditeur: Pearson,
distribué par la Duc.
Teaching materials
  • Calculus - Early Transcendentals, par W. Briggs, L. Cochran et B. Gillet, éditeur : Pearson
Faculty or entity


Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Sigle
Credits
Prerequisites
Aims
Bachelor in Physics

Bachelor in Mathematics