160204

Differential Equations I

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary differential equations. Systems of differential equations, matrix methods, phase plane techniques. Applications of differential equations. Numerical methods for differential equations.

Course code

Qualifications are made up of courses. Some universities call these papers. Each course is numbered using six digits.

160204

Level

The fourth number of the course code shows the level of the course. For example, in course 219206, the fourth number is a 2, so it is a 200-level course (usually studied in the second year of full-time study).

200-level

Credits

Each course is worth a number of credits. You combine courses (credits) to meet the total number of credits needed for your qualification.

15

Subject

Mathematics

Course planning information

Course notes

The final examination will be an online supervised examination using remote invigilation.

Prerequisite courses

Complete first
160101 or 160112 or 160133 or 228172

You need to complete the above course or courses before moving onto this one.

General progression requirements

You must complete at least 45 credits from 100-level before enrolling in 200-level courses.

Learning outcomes

What you will learn. Knowledge, skills and attitudes you’ll be able to show as a result of successfully finishing this course.

  • 1 Apply exact and numerical solution methods to ordinary differential equations.
  • 2 Solve linear systems of ordinary differential equations and higher order ordinary differential equations.
  • 3 Construct phase portraits of linear and nonlinear systems of ordinary differential equations and describe the nature and stability of critical points.
  • 4 Formulate mathematical models of real world problems by using ordinary differential equations.
  • 5 Use appropriate software to carry out numerical and analytical investigations of ordinary differential equations.

Learning outcomes can change before the start of the semester you are studying the course in.

Assessments

Assessment Learning outcomes assessed Weighting
Written Assignment 1 2 3 4 5 25%
Test 1 2 3 4 25%
Test 1 2 3 4 25%
Exam (centrally scheduled) 1 2 3 4 25%

Assessment weightings can change up to the start of the semester the course is delivered in.

You may need to take more assessments depending on where, how, and when you choose to take this course.

Explanation of assessment types

Computer programmes
Computer animation and screening, design, programming, models and other computer work.
Creative compositions
Animations, films, models, textiles, websites, and other compositions.
Exam College or GRS-based (not centrally scheduled)
An exam scheduled by a college or the Graduate Research School (GRS). The exam could be online, oral, field, practical skills, written exams or another format.
Exam (centrally scheduled)
An exam scheduled by Assessment Services (centrally) – you’ll usually be told when and where the exam is through the student portal.
Oral or performance or presentation
Debates, demonstrations, exhibitions, interviews, oral proposals, role play, speech and other performances or presentations.
Participation
You may be assessed on your participation in activities such as online fora, laboratories, debates, tutorials, exercises, seminars, and so on.
Portfolio
Creative, learning, online, narrative, photographic, written, and other portfolios.
Practical or placement
Field trips, field work, placements, seminars, workshops, voluntary work, and other activities.
Simulation
Technology-based or experience-based simulations.
Test
Laboratory, online, multi-choice, short answer, spoken, and other tests – arranged by the school.
Written assignment
Essays, group or individual projects, proposals, reports, reviews, writing exercises, and other written assignments.

Textbooks needed

Textbooks can change. We recommend you wait until at least seven weeks before the semester starts to buy your textbooks.

Compulsory

DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS

Author
ZILL, D. AND WRIGHT, W. S., THOMSON, BROOKS / COLE.
ISBN
9781337559881
Edition
9TH (2017)
Publisher
BROOKS COLE
Notes
Palmerston North and Distance

Recommended

AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS

Author
JAMES C. ROBINSON.
ISBN
9780521533911
Edition
2004
Publisher
CUP

DIFFERENTIAL EQUATIONS

Author
PAUL BLANCHARD, ROBERT L. DEVANEY, GLEN R. HALL.
ISBN
9781133109037
Edition
4TH
Publisher
CENGAGE

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