• Svenska

# SF1633 Differential Equations I 6.0 credits

Basic course in differential equations, Fourier series and Laplace transforms.

## Information per course offering

Choose semester and course offering to see current information and more about the course, such as course syllabus, study period, and application information.

Termin

### Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus SF1633 (Autumn 2019–)
Headings with content from the Course syllabus SF1633 (Autumn 2019–) are denoted with an asterisk ( )

## Content and learning outcomes

### Course contents

• First order ordinary differential equations: Fundamental theory and concepts, separable and linear equations, modeling.
• Linear ordinary differential equations of higher order and systems of linear ordinary differential equations: Fundamental theory, finding solutions in specific cases, in particular the case of constant coefficients, discussion of properties of solutions.
• Autonomous systems: Fundamental concepts, stationary solutions and their stability, applications to dynamical systems and scientific modeling.
• Integral transforms: Laplace transform and Fourier series, and their application to differential equations.
• Introduction to partial differential equations: Solution of classical boundary value problems.

### Intended learning outcomes

After the course the student should be able to

• use concepts, theorems and methods to solve, and present the solution to, problems within the parts of the theory of differential equations that are described by the course content;
• read and comprehend mathematical text.

## Literature and preparations

### Specific prerequisites

Completed basic course SF1626 Calculus in Several Variable or SF1674 Multivariable Calculus.

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

Announced no later than 4 weeks before the start of the course on the course web page.

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• TEN1 - Examination, 6.0 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

The examiner, in consultation with the KTH coordinator for disability (Funka), decides on any adapted examination for students with documented, permanent disability.

### Other requirements for final grade

Written exam, possibly with continuous examination.

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

### Main field of study

Mathematics, Technology

First cycle