In this course, functions of several real variables are introduced and some of their most important properties are studied. In Chapter 1, we cover the theory of Taylor series of functions of one variable. In Chapter 2 we study partial derivatives of functions of several variables and their applications. Chapter 3 deals with methods to represent curves and to determine its geometric properties, and Chapter 4 covers the topic of multivariate definite integration.

Note: chapter 3 will be taught before chapter 2 this year, so, perhaps the numbering ought to change at some point...