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

1. Derivation and the study of functions
   • Derivatives of constants and functions
   • Derivation of composed functions
   • Applications: limits, variations
   • Tangents and asymptotes
2. Second-degree equations, algebraic equations
   • Second-degree equations
   • Sum and product of roots
   • Third- and fourth-degree algebraic equations
   • Newton’s binomial theorem
3. Complex numbers
   • Complex numbers, moduli and conjugates
   • Trigonometric and exponential functions
   • Second-degree equations in C, nth roots
   • Algebraic structures
4. Reasoning by recurrence and numerical sequences
   • Reasoning by recurrence
   • Numerical sequences
   • Limits
   • Special sequences
5. 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.