# Diffenrential and integral calculus

lmat1121  2019-2020  Louvain-la-Neuve

Diffenrential and integral calculus
Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
30.0 h + 30.0 h
Q1
Teacher(s)
Claeys Tom;
Language
French
Prerequisites

Aims
 At the end of this learning unit, the student is able to : 1

The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
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
Learning activities consist of lectures, exercise sessions and tutorial 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.
The tutorial sessions give students individual help and follow-up in their learning.
The three activities are given in presential sessions.
Evaluation methods
Learning will be assessed by a compulsory test in the course of 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.
Online resources
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
MATH

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

Title of the programme
Sigle
Credits
Prerequisites
Aims
Bachelor in Physics

Bachelor in Mathematics