MATH.APP.220 Multivariable Calculus, 5 cr

The course is offered in Finnish in the autumn 2025 and in English in the spring 2026. 

Lecture videos. Weekly online exercises with automatic assessment and written exercises with peer review. Optional exercise sessions on campus to help with the exercises, but you can also ask questions about the exercises in a Teams chat. An exam on campus at the end of the course. The grade is based 50% on exercise points and 50% on exam points.

The compulsory prerequisites are the first year courses on differential and integral calculus of one variable real functions, and the fundamentals of matrix algebra. Also the earlier courses, named Engineering Mathematics 1-3, contain the same topics. Compulsory prerequisites: Prerequisite group 1: MATH.APP.111 Introductory Calculus, MATH.MA.140 Vectors and Matrices and MATH.APP.160 Differential and Integral Calculus OR Prerequisite group 2: MATH.MA.140 Vectors and Matrices, MATH.MA.420 Analysis A: Limit and Continuity and MATH.APP.160 Differential and Integral Calculus OR Prerequisite group 3: MATH.MA.120 Calculus, Part 1, MATH.MA.160 Calculus, Part 2 and MATH.MA.140 Vectors and Matrices. Please ensure that you have completed the required prerequisites before registering! By registering, you agree to comply with the requirements and, upon request, you can present a transcript of records showing the completion of the required prerequisites.