Mathematical Methods 1 (MAT100)
Complex numbers. Introduction to basic topics in real analysis and their applications: limits, continuity, differentiation, integration and differential equations.
Course description for study year 2022-2023
Facts
Course code
MAT100
Version
1
Credits (ECTS)
10
Semester tution start
Autumn
Number of semesters
1
Exam semester
Autumn
Language of instruction
Norwegian
Time table
Content
Complex numbers. Introduction to basic topics in real analysis and their applications: limits, continuity, differentiation, integration and differential equations.
Learning outcome
After completing this course the student will be able to:
- Compute with complex numbers on Cartesian and exponential form, and use de Moivre's theorem.
- Use the limit concept to define continuity, differentiability and integration.
- Differentiate all elementary functions, and use the derivative of a function to describe its properties, in particular, to determine its extremal values.
- Use Leibniz notation to solve problems on related rates.
- Compute antiderivatives by using substitution, partial integration, partial fraction decomposition and inverse trigonometric substitutions.
- Compute areas, lengths and volumes by integration.
- Apply and solve first order linear and separable differential equations, and second order linear differential equations with constant coefficients.
Required prerequisite knowledge
None
Exam
| Form of assessment | Weight | Duration | Marks | Aid |
|---|---|---|---|---|
| Written exam | 1/1 | 5 Hours | Letter grades | Compilation of mathematical formulae (Rottmann), Specified printed and hand-written means are allowed. Definite, basic calculator allowed, |
Coursework requirements
Tre obligatoriske innleveringer
Three mandatory assignments have to be approved before the student is allowed to take the exam.
Course teacher(s)
Course coordinator:
Sigbjørn HervikCourse teacher:
Sigbjørn HervikHead of Department:
Bjørn Henrik AuestadMethod of work
6 hours lectures, 2 hours exercises. Three compulsory assigned exercises. Mandatory work demands (such as hand in assignments, lab- assignments, projects, etc) must be approved by subject teacher three weeks ahead of examination date.
Overlapping courses
| Course | Reduction (SP) |
|---|---|
| Mathematical analysis for economists (ØK0025_1) | 3 |
| Mathematical methods 1 (TE0549_1) | 9 |
| Mathematical methods 1 (TE0549_A) | 9 |
| Mathematical analysis for economists (BØK135_1) | 5 |
| Mathematical analysis for economists (BØK135_2) | 5 |
| Mathematical analysis for economy and social science (BØK135_3) | 5 |
| Mathematical methods 1 (ÅMA100_1) | 10 |
| Mathematical methods 2 (TE0561_1) | 5 |
Open for
Course assessment
Form and/or discussion