MATHS203-19B (HAM)

Differential Equations and Modelling

15 Points

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Division of Health Engineering Computing & Science
School of Computing and Mathematical Sciences
Department of Mathematics and Statistics


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Paper Description

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The paper introduces the use of applied mathematics in science and engineering. The focus is on how differential equations are used to formulate mathematical models and obtain concrete results.

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Paper Structure

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Five contact hours per week -- roughly 4 lectures and 1 tutorial.

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Learning Outcomes

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Students who successfully complete the course should be able to:

  • Formulate and solve ordinary differential equations (see specific types in the list of topics below)
    Linked to the following assessments:
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Assessment Components

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The internal assessment/exam ratio (as stated in the University Calendar) is 50:50. There is no final exam. The final exam makes up 50% of the overall mark.

The internal assessment/exam ratio (as stated in the University Calendar) is 50:50 or 0:0, whichever is more favourable for the student. The final exam makes up either 50% or 0% of the overall mark.

Component DescriptionDue Date TimePercentage of overall markSubmission MethodCompulsory
1. 10 weekly assignments (best 8 of 10 count)
2. Test 1
3. Test 2
4. Exam
Assessment Total:     100    
Failing to complete a compulsory assessment component of a paper will result in an IC grade
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Required and Recommended Readings

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Required Readings

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A pdf copy of the Lecture notes will be available on Moodle.

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Recommended Readings

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Library books on differential equations are listed under QA371 and QA372.

Elementary Differential Equations and Boundary Value Problems by Boyce & DiPrima. (Highly recommended)

Differential equations and their applications, by M. Braun

Mathematical models, by R. Haberman

Topics in mathematical modeling, by K. K. Tung

No bullshit guide to math & physics, by I. Savov

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Online Support

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All notices about this paper, as well as your internal assessment marks, will be posted on Moodle.  Such notices are deemed to be official notifications.

It is your responsibility to check all your marks on Moodle/noticeboard are correct.

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10-12 hours per week, including 5 contact hours.
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Linkages to Other Papers

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This paper leads to MATHS331 Methods in Applied Mathematics, MATHS517 Stochastic Differential Equations with Applications to Finance, MATHS541 Classical Partial Differential Equations, MATHS543 Nonlinear Dynamics and Chaos.
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Prerequisite papers: (MATH101 or MATHS101) and (MATH102 or MATHS102).


Corequisite papers: MATHS201



Restricted papers: ENGG284, ENGEN201, MATH255 and MATH259

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