Trusted teacherUniversity Mathematics 1 [first year, suitable for all sections]Translate this text using Google Translate.
University Mathematics 1 [first year, suitable for all sections]Translate this text using Google Translate.
CONTENTS :
This course is aimed at university students, in the field of mathematics. This course is also suitable for students at EPFL as well as students of mathematics and physics), but also for faculties of economics (except economic mathematics), or medicine for example.
The goal is simple: to help you understand by yourself and acquire an intuition of the desired mathematical concepts, as well as the resolution of the exercises.
The courses cover a number of subjects. The student chooses the desired branch (the choices are listed below (*).
Additional drills can be provided upon request.
(*)The topics covered in this course are:
-Analysis I, Advanced Analysis I [one-variable real analysis, integration, etc...]
-Analysis II, Advanced Analysis II [real multivariate analysis, integration, differential equations, etc...]
-Linear Algebra I [linear maps, matrices, determinants, diagonalization (AL2), etc...]
-Advanced Linear Algebra I [AL1, dual spaces, multilinear forms, groups, rings, fields, etc...]
-Advanced Linear Algebra II [Gram-Schmidt, Orthogonality, Sylvester, SVD, QR, MSA, Jordan, SEDL, Hermite, Smith]
-Algebraic structures [Basic logic, sets, equivalence relations, classes, quotients, groups, etc...]
-Discrete mathematics [combinatorics, generating functions, basis of graph theory, probabilistic approach]
Note: For more information regarding the contents of the topics, we can discuss. The courses are flexible.
SIZE:
The course can be given face-to-face in the Lausanne region (preferably Renens / Ecublens) or Geneva (preferably center) depending on my travel availability (this is to be agreed by message with me directly, this option only appears by default in my schedules available below). Otherwise, the course is generally given by Zoom with screen sharing where I generally write by hand).
The notes during the course are sent to the student after the course is completed in PDF format.
For more availability, please contact me.
The courses are based on my experience (EPFL, mathematics section).
Hoping to be able to help you.