MATHEMATICS: PREPARATION FOR ENTRY INTO HIGHER EDUCATION

PRESENTATION:
This Mathematics MOOC is designed to support students in the transition from high school to further education.

Comprising 5 modules, this preparatory mathematics course allows you to consolidate your skills and gets you ready for entry into higher education.
This MOOC also provides an opportunity to assess the knowledge you have gained upon completion of your high school diploma, and review the essential mathematical concepts required for successful integration into university.

Finally, you will practice problem solving, a very important aspect of higher education.

Different evaluation methods will be used, including multiple-choice quizzes, numerous application exercises to train you, and problems to solve, which will be evaluated by other participants.

BY THE END OF THE MOOC, YOU WILL BE ABLE TO:

use calculation techniques automatically
master algebraic concepts: equations and complex numbers (high school final year)
master analytical concepts: functions, sequences and integrals (high school final year)
understand and apply problem solving methods
COURSE SYLLABUS

Derivation and the study of functions
Derivatives of constants and functions
Derivation of composed functions
Applications: limits, variations
Tangents and asymptotes
Second-degree equations, algebraic equations
Second-degree equations
Sum and product of roots
Third- and fourth-degree algebraic equations
Newton’s binomial theorem
Complex numbers
Complex numbers, moduli and conjugates
Trigonometric and exponential functions
Second-degree equations in C, nth roots
Algebraic structures
Reasoning by recurrence and numerical sequences
Reasoning by recurrence
Numerical sequences
Limits
Special sequences
Integration
Integrals and antiderivatives
Integration by parts
Change of variables
Integral calculation examples
Each chapter of the course is available as a mini-MOOC if there are currently no sessions open. Click on the chapter title to access it.