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# Mathematical Methods 2

This is the study programme for 2019/2020. It is subject to change.

Basics of calculus of several variables, elementary linear algebra, Taylor and Fourier series. Mathematical software (Maple).

### Learning outcome

The student should:
• know basic concepts of elementary linear algebra; be able to handle systems of linear equations and solve eigenvalue problems;
• be able to analyse convergence/divergence of series; find the Taylor and Fourier series of a given simple function;
• have basic knowledge of multi-variable calculus.
• know how to use the computer software program MAPLE to solve elementary problems in one- and multi-variable calculus.

### Contents

Linear Algebra, power series, Taylor series, Fourier series, functions of multiple variables. Mathematical software (Maple).

### Required prerequisite knowledge

MAT100 Mathematical methods 1

### Exam

Weight Duration Marks Aid
Written exam1/14 hoursA - FCompilation of mathematical formulae (Rottmann).
No printed or written materials are allowed. Approved basic calculator allowed.

### Coursework requirements

Compulsory assignment exercises.
There are three compulsory assignment during the course, one of which is in Maple. Students may take the final exam only if all compulsory assignments are approved.

### Course teacher(s)

Course coordinator
David Ploog , Pavel Gumenyuk
Course teacher
Pavel Gumenyuk, Egil Njål Håland

### Method of work

6 hours of lectures and 2 hours of exercise classes, compulsory hand-in assignments. Compulsory assigments must be approved by the lecturer at least three weeks ahead of the examination date.

### Overlapping courses

Course Reduction (SP)
Mathematical Methods 2b (MAT220_1) 5
Real and Complex Calculus (MAT210_1) 5
Mathematical methods 2b (ÅMA270_1) 5
Mathematical Methods 2 (ÅMA260_1) 10
Mathematical methods 2B (TE0550_1) 5
Mathematics 6 - Linear Algebra (ÅMA140_1) 5
Mathematics 6 - Linear algebra (TE0334_A) 5
Mathematical methods 2B (TE0550_A) 5
Mathematical methods 2 (TE0561_A) 9
Mathematical methods 2 (TE0561_1) 9
Mathematical methods 2c (ÅMA330_1) 5
Elementary mathematical methods (TE0301_1) 6
Mathematics 6 - Linear algebra (TE0334_2) 5
Mathematics 6 - Linear algebra (TE0334_1) 5
Linear Algebra (MAT110_1) 5

### Open to

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.

### Course assessment

Form and/or discussion

### Literature

Compulsory literature:
1. Robert Adams, Christopher Essex: Calculus: a complete course, 9th ed., Pearson, 2018.
2. C. H. Edwards, Jr.; David E. Penney: Elementary Linear Algebra, 1988, Prentice-Hall.