Corresponding University access exams - High or secondary School

To identify functions, their dependence on variables and their basic properties To understand the concept of limit and compute easy limits. To understand the definition of derivative and use its interpretation as tangent line. TO compute derivatives To understand the difference between indefinite and definite integral and compute easy integrals

Funcitions and their graphs (4 lessons) - Lines and quadratic functions - Functions - Combinations of functions - Inverse functions Polynomial and rational functions (4 Lessons) - Polynomial functions of Higher Degree - Polynomial division - Rational functions - Inequalities and absolute values Limits and their properties. Continuous functions (4 lessons) - Evaluating limits analytically - Infinite limits - Limits at infinity - Continuity and one-side limits Definition and basic differentiation rule (4 lessons) - The derivative and tangent line - Basic differentiation rules - Product and quotient rules and higher-order derivatives - The Chain rule - L'Hôpital's rule Primitives (4 lessons) - Antiderivatives and indefinite integration - Area and definite integrals - Integration by substitution - Integration by parts

The learning methodology will include: - Attendance to compulsory classes for students, in which core knowledge will be presented that they must acquire. The recommended bibliography will facilitate the students' work - Resolution of exercises by the student that will serve as a self-evaluation method and to acquire the necessary skills. The lessons will be mainly practical - Tests - Final Exam - Tutorial sessions - The instructors may propose additional homework and activities