# MATA114 Ordinary Differential Equations (4 cr)

Study level:
Intermediate studies
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023

## Description

Basic solution techniques for first and second order ordinary differential equations. Examples of series solutions and numerical methods.

The contents correpond to

Robert A. Adams: Calculus (8th ed.) chapter 18,

or

Boyce and DiPrima: Elementary differential equations and boundary value problems, chapters 1-5.

## Learning outcomes

The aim of the course is to learn how to solve ordinary differential equations of the first and second order. After completing the course, the student
• masters basic terminology related to differential equations
• recognizes and can solve separable equations and separable recoverable equations
• is able to solve the first order linear differential equation
• can solve second order equations that return to the first order
• knows how to apply the ordinal drop to find another solution to a homogeneous equation when one solution is known
• can solve a second order constant coefficient using a homogeneous linear differential equation with a characteristic polynomial
• knows how to find a solution to a second-order linear differential equation by constant variation and constant multiplication by experiment
• is familiar with the series solutions of differential equations
• is familiar with the numerical methods of solving differential equations

Calculus 3

## Literature

• Boyce W. E., DiPrima R. C., Elementary Differential Equations and Boundary Value Problems, WILEY, ISBN: 978-1-119-38164-8
• Adams, Robert A., Calculus: A Complete Course, 8. laitos, Pearson 2013.; ISBN: 978-0-321-78107-9

## Completion methods

### Method 1

Evaluation criteria:
Grade is based on weekly exercises, quizzes and points from the exam.
Time of teaching:
Period 4
Select all marked parts

### Method 2

Evaluation criteria:
Grade is based on the points from the final exam.
Select all marked parts
Parts of the completion methods
x

### Teaching (4 cr)

Type:
Participation in teaching
0-5
Language:
Finnish
Study methods:

Lectures 28h (in Finnish), 7 sets of homework

x

Type:
Exam