Course
Real and Complex Calculus (MAT210)
Introduction to the theory of functions of one complex and several real variables, including convergence/divergence of series, both real and complex.
Course description for study year 2025-2026. Please note that changes may occur.
Semesters
Facts
Course code
MAT210
Credits (ECTS)
10
Semester tution start
Spring
Language of instruction
English, Norwegian
Number of semesters
1
Exam semester
Spring
Time table
Literature
Content
Convergence, continuity, differentiability, completeness, and compactness in the real numbers. Differentiation and optimisation of functions of several variables. Taylor series, Fourier series.
Learning outcome
- Understand what is meant by a mathematical proof, and how to communicate mathematical arguments in the form of a mathematical proof.
- Understand basic topological notions (closed, open, connected and compact sets).
- Understand the concept of limit, and be able to define continuity and differentiability of functions of one and several real variables.
- Understand the concepts of convergence and divergence of series and power series of functions of one real variable, and be able to use different convergence tests, especially for finding the radius of convergence of a power series.
- Get operational knowledge of the basic concepts of multi-variable analysis. Be able to solve extremal value problems in several variables.
- Be able to find the Taylor and Fourier series of given simple functions.
Required prerequisite knowledge
None
Recommended prerequisites
Mathematical Methods 1 (MAT100)
Exam
| Form of assessment | Weight | Duration | Marks | Aid | Exam system | Withdrawal deadline | Exam date |
|---|---|---|---|---|---|---|---|
| Written exam | 1/1 | 4 Hours | Letter grades | Basic calculator, Compilation of mathematical formulae (Rottmann), Specified printed and hand-written means are allowed. Definite, basic calculator allowed | — | — | — |
Written exam is with pen and paper.
Coursework requirements
2 compulsory assignments
2 compulsory assignments must be approved to have access to the exam.
The assignments are handed in individual. All aids are allowed.
Course teacher(s)
Head of Department:
Bjørn Henrik AuestadHead of Department:
Bjørn Henrik AuestadCourse coordinator:
Tyson RitterMethod of work
6 hours lectures and problem-solving classes per week.
Overlapping courses
| Course | Reduction (SP) |
|---|---|
| Real and Complex Calculus (MAT210_1) , Mathematical Methods 2b (MAT220_1) | 1 |
| Real and Complex Calculus (MAT210_1) , Mathematical Methods 2 (ÅMA260_1) | 5 |
| Real and Complex Calculus (MAT210_1) , Mathematical methods 2b (ÅMA270_1) | 1 |
| Real and Complex Calculus (MAT210_1) , Mathematical methods 2c (ÅMA330_1) | 5 |
| Real and Complex Calculus (MAT210_1) , Mathematics 5 - Complex analysis (ÅMA310_2) | 5 |
| Mathematical Methods 2 (MAT200_1) , Real and Complex Calculus (MAT210_1) | 5 |
| Real and Complex Calculus (MAT210_1) , Mathematics 5 - Complex analysis (ÅMA310_1) | 6 |
Open for
Admission to Single Courses at the Faculty of Science and Technology
City and Regional Planning - Master of Science Degree Programme, Five Years
Industrial Economics - Master of Science Degree Programme, Five Year
Industrial Automation and Signal Processing - Master's Degree Programme - 5 year
Structural and Mechanical Engineering - Master of Science Degree Programme. Five Years
Advanced teacher education for level 8-13 in science
Mathematics and Physics - Five Year Integrated Master's Degree Programme
Petroleum Engineering - Master of Science Degree Programme, Five Years
Exchange programme at Faculty of Science and Technology
Mathematics - One-Year Programme
Science and Technology - one-year programme
Course assessment
There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital course evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.
The course description is retrieved from FS (Felles studentsystem). Version 1