## 15 Points

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

### Staff

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#### Librarian(s)

: alistair.lamb@waikato.ac.nz

You can contact staff by:

• Calling +64 7 838 4466 select option 1, then enter the extension.
• Extensions starting with 4, 5, 9 or 3 can also be direct dialled:
• For extensions starting with 4: dial +64 7 838 extension.
• For extensions starting with 5: dial +64 7 858 extension.
• For extensions starting with 9: dial +64 7 837 extension.
• For extensions starting with 3: dial +64 7 2620 + the last 3 digits of the extension e.g. 3123 = +64 7 262 0123.
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### Paper Description

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In this paper, you will acquire some of the basic tools of applied mathematics. The goal is to introduce you to a number of fundamental methods that can be applied to ordinary differential equations as well as partial differential equations, which form the basis of many applications found in both nature and industry.
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### Paper Structure

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We will meet four times per week for face-to-face interactions that will be recorded using Panopto. Supplemental resources will be provided through Moodle.

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### Learning Outcomes

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Students who successfully complete the paper should be able to:

• Break a physical situation down into its dominant dynamical drivers and express these in terms of algebraic relations and differential equations.
Be able to break a physical situation down into its dominant dynamical drivers and express these in terms of algebraic relations and differential equations.
• Understand and apply techniques to solve various types ordinary and partial differential equations.

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• Interpret solutions to differential equations as they relate to real-world situations.
Interpret solutions to differential equations as they relate to real-world situations.
• Use the above steps to solve problems in applied maths that relate to applications in science, engineering, finance, social science, etc.
Use the above steps to solve problems in applied maths that relate to applications in science, engineering, finance, social science, etc.
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### Assessment

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The two tests will be held in class during the regular class times.

#### Assessment Components

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The internal assessment/exam ratio (as stated in the University Calendar) is 70:30. There is no final exam. The final exam makes up 30% of the overall mark.

The internal assessment/exam ratio (as stated in the University Calendar) is 70:30 or 0:0, whichever is more favourable for the student. The final exam makes up either 30% or 0% of the overall mark.

Component DescriptionDue Date TimePercentage of overall markSubmission MethodCompulsory
1. 10 weekly Homework Assignments
20
2. Test 1
25 Aug 2022
1:00 PM
15
3. Test 2
13 Oct 2022
1:00 PM
15
4. Exam
50
 Assessment Total: 100
Failing to complete a compulsory assessment component of a paper will result in an IC grade
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Elementary differential equations and boundary-value problems”, W.E. Boyce and R.C. DiPrima, Wiley.

Theory and problems of Laplace transforms”, M.R. Speigel, Schaum’s Outline Series, McGraw Hill.

### Online Support

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All notices and internal assessment marks will be posted on Moodle.

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Four contact hours per week. Plus, typically, another 6 hours per week spent on reading, assignments, study, etc.

Restricted Papers ENGG383 Engineering Mathematics

#### Prerequisite(s)

Prerequisite papers: MATHS201 and MATHS203

#### Corequisite(s)

Corequisite papers: MATHS301