Diffenrential and integral calculus

lmat1121  2021-2022  Louvain-la-Neuve

Diffenrential and integral calculus
5 credits
30.0 h + 30.0 h

  • 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
Learning activities consist of lectures and exercise sessions, complemented by short videos on the Moodle page of the course.
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
Learning will be assessed by tests during the semester and by a final examination. The questions will ask students to:
- judge whether a given proposition is correct or not
- 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.
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
Bachelor in Physics

Bachelor in Mathematics