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. Please note that changes may occur.
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.
- 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
None
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
Four compulsory assignments
Four 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. Four 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
Admission to Single Courses at the Faculty of Science and Technology
City and Regional Planning - Master of Science Degree Programme, Five Years
Miljøteknologi - master i teknologi/siv.ing.
Industrial Economics - Master of Science Degree Programme
Industrial Economics - Master of Science Degree Programme, Five Year
Structural and Mechanical Engineering - Master of Science Degree Programme. Five Years
Mathematics and Physics - Five Year Integrated Master's Degree Programme
Marine and Subsea Technology, Master of Science Degree Programme, Five Years
Petroleum Engineering - Master of Science Degree Programme
Petroleum Engineering - Master of Science Degree Programme, Five Years
Mathematics - 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 subject evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.