Analysis 2 is a foundational mathematics course that extends the core concepts of calculus from one variable to multiple dimensions and introduces the fundamental theory of integration and differential equations. Building directly on the tools acquired in Analysis 1, this course transitions from the study of sequences and functions of a single variable to the more complex and powerful ideas of the Riemann integral, the behavior of functions of several real variables, and methods for solving ordinary differential equations (ODEs). Students will learn to formalize the concept of area under a curve through the Riemann integral, master powerful techniques for calculating indefinite and definite integrals, and understand the theory of first and second-order differential equations that model countless physical and engineering systems. Finally, the course introduces the calculus of functions of several variables, including partial derivatives, limits, continuity, and the optimization of multi-variable functions.
- Teacher: Messaouda BENATTIA