Mathematics for Scientists 2
MATA04 Mathematics for Scientists 2, 15 credits, is a compulsory mathematics course in the first cycle level for a degree of Master of Science in Applied Computational Science with specialization in Biology, Chemistry, Geology, Environmental Science and Physical Geography. The course cannot be included in a Bachelor or Master of Science degree in mathematics, physics or computational science. The course can also be studied as a stand-alone course. The course is given at 100% study pace during the second half of the autumn semester. The course is given in English.
Course Content
The course treats
- Functions of several variables: basic topology in R3, continuity
- Differential calculus of functions of several variables: partial derivatives, differentiability, the chain rule, gradient and directional derivatives, extreme values, applications of differential calculus
- Integral calculus of functions of several variables: multiple integrals, variable substitution, applications
- Ordinary differential equations, systems of ordinary differential equations
- The vector space Rn, linear maps on Rn and matrix representation of linear maps
- Matrices and determinants, matrix rank
- Eigenvalues and eigenvectors.
Teaching
The teaching consists of lectures and seminars. Mandatory computer laboratory exercises dealing with visualization of the mathematical concepts introduced in the course are included.
Assessment
The examination consists of
- a written examination at the end of the course (12 credits)
- computer laboratory exercises during the course (3 credits)
Course Literature
- Adams R.A., Essex C.: Calculus a complete course, 10th edition, Pearson Canada (2021) (ISBN: 9780135732588)
- Ström J., Åström. K, Akenine-Möller T., Immersive Linear Algebra Links to an external site., 2016
- Suplementary Lecture Notes in Linear algebra, compendium, provided by the department
Official Course Description
Course Evaluation