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MAT320_1

Differential Equations

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


Introduction to ordinary and partial differential equations.

Learning outcome

The course consists of two parts: ordinary and partial differential equations. Students will learn methods for solving first order ordinary differential equations such as separation of variables and exact differential equations. Students will also analyze the second order linear differential equations, especially those with constant coefficients, together with higher order ordinary differential equations and systems of first order equations. Students will also learn to solve them by developing into power series and using the Frobenius method.. They also will learn simple boundary value problems, especially for Sturm-Liouville equations and corresponding eigenvalue problems. Concerning partial differential equations, the students will be able to solve the wave equations, heat conduction equations, Laplace equation, by means of the separation method and Fourier series, and also solve boundary value problems.

Contents

First order differential equations: linear, separable, exact. Second order and higher order linear
differential equations, systems of first order linear differential equations with constant
coefficients. Solving of second order linear differential equations by developing into power
series. Boundary problems. Orthogonal functions and Fourier series. Sturm-Liouville equations.
Solving of partial differential equations by separation of variables.

Required prerequisite knowledge

None.

Recommended previous knowledge

MAT100 Mathematical Methods 1, MAT200 Mathematical Methods 2, MAT300 Vector Analysis

Exam

Weight Duration Marks Aid
Written exam1/14 hoursA - FSpecified printed and hand-written means are allowed. Definite, basic calculator allowed.

Course teacher(s)

Course coordinator
Alexander Rashkovskii
Course teacher
Alexander Rashkovskii
Head of Department
Bjørn Henrik Auestad

Method of work

Six hours lecturing and problem solving each week.

Overlapping courses

Course Reduction (SP)
Differential Equations (BMF110_1) 10
Mathematics 4 - differential equations (TE0303_A) 5
Mathematics 4 - differential equations (TE0303_1) 5
Mathematics 4 - Differential Equations (ÅMA300_1) 5

Open to

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

Boyce, DiPrima, Meade: "Boyce's Elementary Differential Equations and Boundary Value Problems. Global Edition, Kap. 1.1 - 1.3, 2.1, 2.2, 2.4, 2.6, 3.1 - 3.6, 4.1 - 4.4, 5.1 - 5.7, 7.1 - 7.9, 10.1 - 10.8, 11.1 - 11.4.


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

Sist oppdatert: 12.11.2019

History