COURSE SYLLABUS

Differential Equations and Transform Theory 7.5 credits

Differentialekvationer och transformteori
First cycle, M0052M
Version
Course syllabus valid: Autumn 2019 Sp 1 - Present
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.

Syllabus established
by Niklas Lehto 15 Feb 2019

Last revised
by Niklas Lehto 15 Feb 2019

Education level
First cycle
Grade scale
G U 3 4 5
Subject
Mathematics
Subject group (SCB)
Mathematics

Entry requirements

In order to meet the general entry requirements for first cycle studies you must have successfully completed upper secondary education and documented skills in English language and the course Integrals, Vectors and Matrices (M0051M), or equivalent.


More information about English language requirements


Selection

The selection is based on 1-165 credits.



Course Aim

After completing the course, students should:

  • have further deepened the knowledge of and be familiar with key mathematical concepts, methods and logical structures necessary for independent work as an engineer
  • have knowledge in complex numbers, ordinary differential equations of first and second order and transform theory
  • be able to use computer tools for numerical computations in the subject areas of the course
  • have developed their capacity for critical reflection, planning and mathematical modeling
  • be able to use mathematics as an effective tool for further studies in mathematics, science, technology and economics and in professional life

Contents
Complex numbers.
Differential equations: Ordinary differential equations, systems of differential equations. Applications. Improper integrals.
Series. Transform Theory and Applications.
Use of computer tools.

Realization
Lectures and tutorials where theory and example problems are reviewed, with som degree of personal practice.

Mandatory marking conferences for grading of the course assignments.

The assignments may be marked using other methods.


Examination
The course is graded with a written exam, and mandatory assignments. To pass the course, both parts need to be passed. The final grade of the course is set by the grade of the written exam.

Transition terms
The course replaces M0039M.

Examiner
Ove Edlund

Literature. Valid from Autumn 2019 Sp 1 (May change until 10 weeks before course start)
Forsling/Neymark: Matematisk analys - En variabel, upplaga 2. Liber, ISBN 978-91-47-10023-1.
Lennerstad/Jogréus: Serier och transformer, upplaga 3, Studentlitteratur, ISBN: 978-91-44-08996-6.

Course offered by
Department of Engineering Sciences and Mathematics

Modules
CodeDescriptionGrade scaleHPStatusFrom periodTitle
0001Written examG U 3 4 56.00MandatoryA19
0002Assignment reportU G#1.50MandatoryA19