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Overview

Ordinary differential equations for modelling physical and other phenomena. Complementary mathematical approaches for solving ordinary differential equations, including analytical methods, graphical analysis and numerical techniques.

About this paper

Paper title Differential Equations
Subject Computational Modelling
EFTS 0.15
Points 18 points
Teaching period Semester 1 (On campus)
Domestic Tuition Fees ( NZD ) $1,318.20
International Tuition Fees Tuition Fees for international students are elsewhere on this website.
Prerequisite
MATH 140
Restriction
MATH 262
Schedule C
Science
Contact

For more information, contact MATH and COMO 200-300 Level Advisor, Dr Jörg Hennig at joerg.hennig@otago.ac.nz

Teaching staff

Teaching staff to be advised. 

Paper Structure

Main topics:

  • First Order Differential Equations
  • Linear Differential Equations of higher order
  • Systems of Linear Differential Equations
  • Analytical and numerical solutions to differential equations
  • Laplace Transforms
  • Stability
  • Introduction to nonlinear systems and chaos
Teaching Arrangements

Five lectures per fortnight and two hours of computer labs per week.

Textbooks

There are no mandatory textbooks for this paper.

Recommended textbook:
Blanchard, P., Devaney, R. L. and Hall, G. R., 2012, Differential Equations, 4th ed., Brooks/Cole.

Graduate Attributes Emphasised
Interdisciplinary perspective, Scholarship, Critical thinking, Information literacy.
View more information about Otago's graduate attributes.
Learning Outcomes

Students who successfully complete this paper will develop:

  • Information and computational literacy
  • Interdisciplinary thinking
  • Communication and writing skills

Overview

Ordinary differential equations for modelling physical and other phenomena. Complementary mathematical approaches for solving ordinary differential equations, including analytical methods, graphical analysis and numerical techniques.

About this paper

Paper title Differential Equations
Subject Computational Modelling
EFTS 0.15
Points 18 points
Teaching period Semester 1 (On campus)
Domestic Tuition Fees Tuition Fees for 2027 have not yet been set
International Tuition Fees Tuition Fees for international students are elsewhere on this website.
Prerequisite
MATH 140
Restriction
MATH 262
Schedule C
Science
Contact

For more information, contact MATH and COMO 200-300 Level Advisor, Associate Professor Jörg Hennig.

Teaching staff

Teaching staff to be advised. 

Paper Structure

Main topics:

  • First Order Differential Equations
  • Linear Differential Equations of higher order
  • Systems of Linear Differential Equations
  • Analytical and numerical solutions to differential equations
  • Laplace Transforms
  • Stability
  • Introduction to nonlinear systems and chaos
Teaching Arrangements

Five lectures per fortnight and two hours of computer labs per week.

Textbooks

There are no mandatory textbooks for this paper.

Recommended textbook:

  • Blanchard, P., Devaney, R. L. and Hall, G. R., 2012, Differential Equations, 4th ed., Brooks/Cole.
  • Graduate Attributes Emphasised
    Interdisciplinary perspective, Scholarship, Critical thinking, Information literacy.
    View more information about Otago's graduate attributes.
    Learning Outcomes

    Students who successfully complete this paper will develop:

    • Information and computational literacy
    • Interdisciplinary thinking
    • Communication and writing skills
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