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 2024-2025
Course code
MAT100
Version
1
Credits (ECTS)
10
Semester tution start
Autumn
Number of semesters
1
Exam semester
Autumn
Language of instruction
Norwegian
Content
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.
- Use numerical methods to solve equations using Newtons method.
- Compute antiderivatives by using substitution, partial integration, partial fraction decomposition and inverse trigonometric substitutions.
- Compute areas, lengths and volumes by integration.
- Use numerical integration (Trapezoidal and Simpsons method).
- Apply and solve first order linear and separable differential equations, and second order linear differential equations with constant coefficients.
Required prerequisite knowledge
Exam
Form of assessment | Weight | Duration | Marks | Aid |
---|---|---|---|---|
Written exam | 1/1 | 5 Hours | Letter grades | Basic calculator specified in general exam regulations, Compilation of mathematical formulae (Rottmann), |
The mandatory assignments are handed in by digital computer.The exam is a school exam (pen and paper)
Coursework requirements
Course teacher(s)
Course coordinator:
Sigbjørn HervikCourse teacher:
Sigbjørn HervikHead of Department:
Bjørn Henrik AuestadMethod of work
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 |