Dette er studietilbudet for studieår 20192020. Endringer kan komme.
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 SturmLiouville 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. SturmLiouville equations.
Solving of partial differential equations by separation of variables.
Required prerequisite knowledge
Recommended prerequisites
MAT100 Mathematical Methods 1, MAT200 Mathematical Methods 2, MAT300 Vector Analysis
Exam

Weight 
Duration 
Mark 
Supporting materials 
Written exam  1/1  4 hours  A  F  Specified printed and handwritten 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 (credits) 
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
Literature
Dette er studietilbudet for studieår 20192020. Endringer kan komme.