MATH 2003 Differential Equations

Credit Points 10

Legacy Code 200030

Coordinator Alexander Lee Opens in new window

Description Differential equations arise naturally both in abstract mathematics and in the study of many phenomena. This unit provides the theory of ordinary differential equations and an introduction to partial differential equations together with methods of solution. Examples are drawn from a wide range of biological, chemical, physical and economic applications.

School Computer, Data & Math Sciences

Student Contribution Band HECS Band 1 10cp

Check your HECS Band contribution amount via the Fees page.

Level Undergraduate Level 2 subject

Incompatible Subjects MATH 1019 - Mathematics for Engineers 2

Restrictions Students enrolled in Bachelor of Engineering, Bachelor of Engineering (Honours) or Bachelor of Engineering Science may not enrol in this subject.

Assumed Knowledge

Algebra - competency in manipulation of algebraic terms including powers, sigma notation
Elementary functions - polynomial, power, exponential, logarithmic, circular and hyperbolic, inverse functions.
Differentiation - derivatives of standard functions, product/quotient/composite function rules
Integration - integrals of standard functions, change of variable, integration by parts.

Learning Outcomes

On successful completion of this subject, students should be able to:
  1. Classify and solve various types of first order ordinary differential equations
  2. Classify and solve various types of second order ordinary differential equations
  3. Apply Laplace transforms to solve problems including second order ordinary differential equations
  4. Classify and solve various types of basic partial differential equations.

Subject Content

- Review of first order differential equations
- homogeneous linear second order equations
- reducible second order equations
- linear second order equations with constant coefficients
- differential operators
- method of undetermined coefficients
- variation of parameters
- equations with variable coefficients
- power series solutions
- Laplace transforms
- simple partial differential equations and separation of Variables, eg diffusion, wave and Laplace equations
- application of Fourier series to partial differential equations

Assessment

The following table summarises the standard assessment tasks for this subject. Please note this is a guide only. Assessment tasks are regularly updated, where there is a difference your Learning Guide takes precedence.

Item Length Percent Threshold Individual/Group Task
Class Test 1 30 minutes 10 N Individual
Class Test 2 30 minutes 10 N Individual
Class Test 3 30 minutes 10 N Individual
Class Test 4 30 minutes 10 N Individual
Final Exam 3 hours 60 N Individual

Teaching Periods

2022 Semester 2

Campbelltown

Day

Subject Contact Alexander Lee Opens in new window

Attendance Requirements 80% attendance rate is imposed in all core subjects’ due to the nature of class activities that are aligned with subject assessments.

View timetable Opens in new window

Parramatta - Victoria Rd

Day

Subject Contact Alexander Lee Opens in new window

Attendance Requirements 80% attendance rate is imposed in all core subjects’ due to the nature of class activities that are aligned with subject assessments.

View timetable Opens in new window