Syllabus for Ordinary Differential Equations I
Ordinära differentialekvationer I
- 5 credits
- Course code: 1MA032
- Education cycle: First cycle
Main field(s) of study and in-depth level:
Explanation of codes
The code indicates the education cycle and in-depth level of the course in relation to other courses within the same main field of study according to the requirements for general degrees:
- G1N: has only upper-secondary level entry requirements
- G1F: has less than 60 credits in first-cycle course/s as entry requirements
- G1E: contains specially designed degree project for Higher Education Diploma
- G2F: has at least 60 credits in first-cycle course/s as entry requirements
- G2E: has at least 60 credits in first-cycle course/s as entry requirements, contains degree project for Bachelor of Arts/Bachelor of Science
- GXX: in-depth level of the course cannot be classified
- A1N: has only first-cycle course/s as entry requirements
- A1F: has second-cycle course/s as entry requirements
- A1E: contains degree project for Master of Arts/Master of Science (60 credits)
- A2E: contains degree project for Master of Arts/Master of Science (120 credits)
- AXX: in-depth level of the course cannot be classified
- Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Established: 2007-03-15
- Established by:
- Revised: 2021-11-09
- Revised by: The Faculty Board of Science and Technology
- Applies from: Autumn 2022
10 credits in mathematics. Participation in Linear Algebra II and in Several Variable Calculus, Several Variable Calculus, Limited Version, Several Variable Calculus M or Geometry and Analysis III. Several Variable Calculus, Several Variable Calculus, Limited Version or Several Variable Calculus M may also be taken in parallel with this course.
- Responsible department: Department of Mathematics
On completion of the course, the student should be able to:
- give an account of basic concepts and definitions for differential equations;
- use methods for obtaining exact solutions of linear homogeneous and non-homogeneous differential equations;
- find and classify equilibrium points ;
- apply elementary power series techniques;
- describe some simple numerical solution techniques and be familiar with mathematical software for differential equations;
- use elementary methods for linear systems of differential equations.
Linear differential equations of order n, exact solutions, theorems of existence and uniqueness, power series solutions, systems of differential equations, nonlinear systems, classification of equilibrium points, phase portraits, numerical solution methods.
Lectures and problem solving sessions as well as a compulsory computer lab.
Written examination (5 credit points) at the end of the course as well as a written report of the computer lab (0 credit points).
If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.
- Latest syllabus (applies from Autumn 2022)
- Previous syllabus (applies from Autumn 2021)
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- Previous syllabus (applies from Autumn 2016)
- Previous syllabus (applies from Spring 2015)
- Previous syllabus (applies from Autumn 2013)
- Previous syllabus (applies from Autumn 2012)
- Previous syllabus (applies from Autumn 2007, version 2)
- Previous syllabus (applies from Autumn 2007, version 1)
Applies from: Autumn 2022
Some titles may be available electronically through the University library.
Boyce, William E.
Elementary Differential Equations and Boundary Value Problems, 11th Edition
John Wiley & Sons, 2017