This online course is designed for high school students who want to master essential mathematical concepts while developing a strategic approach to their learning. It aims to strengthen mathematical skills while highlighting effective methods for solving complex problems, in line with baccalaureate exams and applications in higher education.
Educational objectives
Consolidate the fundamental bases in analysis, algebra, geometry and probability.
Develop problem-solving strategies adapted to the requirements of the baccalaureate.
Understand the applications of mathematics in various fields (science, economics, engineering, etc.).
Improve rigor and speed in mathematical reasoning.
Promote autonomy and self-confidence in learning mathematics.
Course content
1. Analysis and Advanced Functions
Study of limits, continuity and derivability
Optimization and concrete applications
Integration and calculation of areas
Simple differential equations
2. Algebra and Geometry
Manipulation of matrices and systems of equations
Complex numbers and geometric transformations
Vectors, planes and lines in space
3. Probability and Statistics
Probability laws and random variables
Descriptive and inferential statistics
Applications to science and strategic decisions
4. Resolution Strategies and Methodology
Algorithmic approach and programming in Python
Heuristic methods and modeling techniques
Time management and strategies for exam success
Methodology and Evaluation
Interactive lessons with step-by-step solutions and discussions with students.
Progressive exercises to strengthen understanding and speed of execution.
Case studies and projects to illustrate real-world applications of mathematics.
Test simulations to effectively prepare for the baccalaureate.
Target audience
This course is aimed at final year students (mathematics or complementary specialization) wishing to deepen their mastery of mathematics and improve their performance in exams and competitions.
With this course, each student will be able to approach mathematics with method and confidence, developing valuable skills for their academic and professional future.
