Multivariable Calculus 6 Credits

The course focuses on the basic theory of functions of several variables. It introduces the basic notions and techniques in the differential and integral calculus in two and three space dimensions. Some applications in geometry and physics are also given.

Course Contents

The course focuses on the basic theory of functions of several variables. It introduces the basic notions and techniques in the differential and integral calculus in two and three space dimensions. Some applications in geometry and physics are also given.

The course includes the following topics:

- Functions of several variables, domains, graphs and level curves/surfaces

- Limits and continuity

- Partial derivatives, directional derivatives, differentiability and tangent planes, the chain rule

- Local and global extremes; optimization under constraints

- Double and triple integrals, Fubini’s theorem and change of variables

- Basics about vector fields; conservative fields and their potentials

- Line- and flux integrals, Greens and Gauss divergence theorems

Prerequisites

General entry requirements and completed course Single Variable Calculus, 6 credits.

Level of Education: Bachelor G1F
Course code/Ladok code: TFVK14
The course is conducted at: School of Engineering