Math in Practice: Calculus enables students to develop the basic practical mathematical skills that will be largely used in the program. It starts by a refresher training before tackling more advanced concepts, using a hands on pedagogy. The concepts to be covered are elementary functions, their derivation and integration, vector calculus, non-Cartesian coordinate systems, integration and simple ordinary first and second order differential equations.
The objective of the MEC_1F001_EP course is to provide students with a solid foundation in classical mechanics, on which they can build in subsequent physics and mechanics courses. The course covers a variety of concepts related to the motion of solid objects, the causes of motion through the fundamental laws of dynamics, and the quantitative description of kinetic and potential energy and their transfer within mechanical systems. It also provides an introduction to linear and angular momentum, central and conservative forces, mechanical work, gravitation, and motion under central forces. Harmonic oscillators, free and forced oscillations, and resonance are studied within this framework. The course introduces changes of reference frame and the description of motion as observed from different frames. A final introduction to hydrostatics presents the basic principles governing fluids at rest and pressure variations in a gravitational field.
Upon completion of the course, students will have mastered the fundamental equations and principles of classical mechanics and will be able to derive and solve simple model problems inspired by physical situations encountered in everyday life.
