Course
Mathematical Methods 1 (MAT100)
Complex numbers. Introduction to basic topics in real analysis and their applications : limits, continuity, differentiation, integration and differential equations.
Dette er emnebeskrivelsen for studieåret 2018-2019. Merk at det kan komme endringer.
Semesters
Fakta
Emnekode
MAT100
Vekting (stp)
10
Semester undervisningsstart
Autumn
Undervisningsspråk
Norwegian
Antall semestre
1
Vurderingssemester
Autumn
Timeplan
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 and partial fraction decomposition.
- 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 coeffisients.
Forkunnskapskrav
Ingen
Exam
| Form of assessment | Weight | Duration | Marks | Aid | Exam system | Withdrawal deadline | Exam date |
|---|---|---|---|---|---|---|---|
| Written exam | 1/1 | 5 Hours | Letter grades | Basic calculator specified in general exam regulations, Compilation of mathematical formulae (Rottmann), Specified printed and hand-written means are allowed. Definite, basic calculator allowed | — | — | — |
Vilkår for å gå opp til eksamen/vurdering
, Four compulsory assignments
The three mandatory assigments have to be approved before the student is allowed to take the exam.
Fagperson(er)
Head of Department:
Bjørn Henrik AuestadHead of Department:
Bjørn Henrik AuestadCourse coordinator:
Sigbjørn HervikCourse teacher:
Sigbjørn HervikMethod of work
6 hours lectures, 2 hours exercises. Tre 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
| Emne | Reduksjon (SP) |
|---|---|
| Mathematical Methods 1 (MAT100_1) , Mathematical analysis for economists (ØK0025_1) | 3 |
| Mathematical Methods 1 (MAT100_1) , Mathematical methods 1 (TE0549_1) | 9 |
| Mathematical Methods 1 (MAT100_1) , Mathematical methods 1 (TE0549_A) | 9 |
| Mathematical analysis for economists (BØK135_1) , Mathematical Methods 1 (MAT100_1) | 5 |
| Mathematical analysis for economists (BØK135_2) , Mathematical Methods 1 (MAT100_1) | 5 |
| Mathematical analysis for economy and social science (BØK135_3) , Mathematical Methods 1 (MAT100_1) | 5 |
| Mathematical Methods 1 (MAT100_1) , Mathematical methods 1 (ÅMA100_1) | 10 |
| Mathematical Methods 1 (MAT100_1) , Mathematical methods 2 (TE0561_1) | 5 |
Åpent for
Mathematics - One Year Foundation Programme at the Faculty of Science and Technology.
Bachelor studies at the Faculty of Science and Technology.
Master studies at the Faculty of Science and Technology.
Emneevaluering
Form and/or discussion
Litteratur
Text book : Adams & Essex: Calculus. (Pearson). Detailed description of syllabus will be given at the semester start.
The course description is retrieved from FS (Felles studentsystem). Version 1