Syllabus for Ordinary Differential Equations I

Ordinära differentialekvationer I

Syllabus

  • 5 credits
  • Course code: 1MA032
  • Education cycle: First cycle
  • Main field(s) of study and in-depth level: Mathematics G1F

    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:

    First cycle
    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.

    Second cycle
    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: 2018-08-30
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: week 30, 2019
  • Entry requirements: Linear Algebra II. Several Variable Calculus or Geometry and Analysis III.
  • Responsible department: Department of Mathematics

Learning outcomes

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.

Content

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.

Instruction

Lectures and problem solving sessions as well as a compulsory computer lab.

Assessment

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.

Reading list

Reading list

Applies from: week 30, 2019

  • Boyce, William E. Elementary Differential Equations and Boundary Value Problems, 11th Edition

    John Wiley & Sons, 2017

    Find in the library

    Mandatory