Mathematics 1

lmat1101  2026-2027  Louvain-la-Neuve

Mathematics 1
4.00 credits
30.0 h + 20.0 h
Q1
> Schedule
Teacher(s)
Dos Santos Santana Forte Vaz Pedro;
Language
French
Main themes
  • Recall of elementary functions (rational functions, roots, exponential and logarithm, trigonometric functions).
  • Functions of one real variable (continuity and limits, derivatives and extrema, integrals and primitives).
  • Vector calculus (vectors in R^2 and R^3 and their components, norm, scalar product and link with orthogonal projection, vector product, parallelism and orthogonality).
  • Introduction to differential equations (first order equations with separable variables, first and second order linear equations with constant coefficients).
Learning outcomes

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

Specific learning outcomes of the course
  • work with basic functions and make use of their algebraic and graphical representations;
  • calculate and interpret limits, derivatives, antiderivatives and integrals;
  • use differential calculus to study the variations of a function, determine its extrema and solve simple optimisation problems;
  • perform vector calculations in R² and R³, and apply them to basic problems in geometry;
  • recognise and solve basic first-order differential equations and linear equations with constant coefficients of orders one and two;
  • express a simple problem in mathematical terms, choose an appropriate method of solution and interpret the result obtained;
  • check the consistency of a result and present a solution in a structured and rigorous manner;
  • apply the mathematical tools covered in the course to simple applications, particularly in the fields of biology, chemistry, geography and veterinary medicine.
 
Contribution of the course to the learning outcomes of the Bachelor of Veterinary Medicine programme.
This course contributes to points 1.1.3; 2.6 of the learning outcomes.
 
Content
  • Vector calculus (vectors in R^2 and R^3 and their components, norm, scalar product and link with orthogonal projection, vector product, parallelism and orthogonality).
  • Recall of elementary functions (rational functions, roots, exponential and logarithm, trigonometric functions).
  • Functions of one real variable (continuity and limits, derivatives and extrema, integrals and primitives).
  • Introduction to differential equations (first order equations with separable variables, linear equations with constant coefficients of order one and two).
Teaching methods
Lecture and practice sessions
Evaluation methods
January session: S5 in-class test and written exam; the January grade is out of 20 points (3 points for the S5 test + 17 points for the written exam).
June and August sessions: written exam only, graded out of 20 points.
Online resources
Course moodle page
Bibliography
W. L. Briggs, L. Cochran, B. Gillett, Calculus: Early Transcendentals, Global Edition, 3e édition in SI units, Pearson, 2025. ISBN-10: 1292755075
Faculty or entity
> SC


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

Title of the programme
Sigle
Credits
Prerequisites
Learning outcomes
Bachelor in Chemistry
CHIM1BA
4
Bachelor in Veterinary Medicine
VETE1BA
4
Minor in Scientific Culture
MINCULTS
4
Bachelor in Biology
BIOL1BA
4
Bachelor in Geography : General
GEOG1BA
4
Minor in Statistics, Actuarial Sciences and Data Sciences
MINSTAT
4
Bachelor in Biology, Anthropology and Archaeology
BABA1BA
4