MATHS102-21B (HAM)

Introduction to Algebra

15 Points

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

Staff

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Convenor(s)

Lecturer(s)

Administrator(s)

: maria.admiraal@waikato.ac.nz

Placement/WIL Coordinator(s)

Tutor(s)

Student Representative(s)

Lab Technician(s)

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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The objectives of this paper are to: give a solid understanding of introductory linear algebra and some topics in discrete mathematics, teach techniques which can be applied to a diverse range of problems, and prepare students for higher level mathematics papers.

This paper is worth 15 points and will be delivered via face-to-face lectures (approx. 3-4 per week), as well as one tutorial per week.

Students have a couple of weeks to determine if they wish to change down to a less difficult, or up to a more challenging, mathematics paper (subject to the lecturer’s approval).

Topics:

  • Sets and functions.
  • Revision of trigonometry.
  • Complex Numbers, including powers and roots.
  • Systems of linear equations: Gauss Jordan and Gaussian elimination.
  • Matrices: matrix operations; matrix inverses.
  • Vector algebra and geometry in two and three dimensions.
  • Logic, formal proofs, and mathematical induction.
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Paper Structure

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Per week: 3-4 face-to-face lectures, and one 50-minute tutorial.
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Learning Outcomes

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Students who successfully complete the paper should be able to:

  • To be familiar with the language of sets and functions.
    Linked to the following assessments:
  • To be able to solve basic trigonometric equations
    Linked to the following assessments:
  • To be able to manipulate complex numbers, and solve associated equations
    Linked to the following assessments:
  • To be able to represent systems of linear equations formally
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  • To be able to use row reduction efficiently
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  • To be capable of solving simple geometric vector problems in 3-D
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  • To be familiar with the mathematical concept of a "proof"
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  • To be able to construct proofs using mathematical induction
    Linked to the following assessments:
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Assessment

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The internal assessment/examination ratio is 50:50.

The FINAL EXAMINATION will be three hours in length, and forms 50% of your final mark.

The internal assessment mark will consist of TWO TESTS (worth a total of 30%) as follows:

TEST 1: Thursday 19th August, 6.00–8.00pm (15%)

TEST 2: Thursday 7th October, 6.00–8.00pm (15%)

and the remaining assessed coursework component will be 20%, comprising 10 individual assignments.

To pass this subject you must achieve an overall mark of over 50%, with a mark of at least 40% on your Final Examination.

Please ensure you always take your ID CARD to tests – if you do not, your test script and mark will be with-held until you present this to the Maths Reception Office (G.1.21). You will also have the option to sit the test online, if you reside outside of Hamilton.

There will be NO test resits for this paper.

A final overall grade of RP (Restricted Pass) will not be accepted as a prerequisite for entry into any higher level mathematics paper.

COPYING of other students’ Assignments/Tests will receive zero (this will include all students involved) and be reported to the Disciplinary Committee.
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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. Test 1
19 Aug 2021
6:00 PM
15
2. Test 2
7 Oct 2021
6:00 PM
15
3. Assignments (ten in total)
20
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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Required and Recommended Readings

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Required Readings

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None.
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Recommended Readings

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“Elementary Linear Algebra”, 10th Edn by H. Anton, Wiley.

“A first Course in Linear Algebra”, 2nd Edn by D. Easdown, Pearson Education Australia.

Limited copies of the above books will be available for purchase from the UOW Bookshop, and there may be a few copies of these books available on desk copy in the UOW Library.

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Online Support

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All information relating to this paper including your assessment marks will be posted on MOODLE.
It is your responsibility to check your marks are correctly entered.
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Workload

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3-4 face-to-face lectures and one compulsory tutorial per week, plus you are expected to spend about another 4 hours per week doing work for the paper (reading, assignments, study,...).
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Linkages to Other Papers

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Prerequisite(s)

Prerequisite papers: Any one of MATHS165 or MATHS166; or at least a B- grade in FOUND007; or 14 credits at Level 3 in NCEA Calculus; or equivalent.

Corequisite(s)

Equivalent(s)

Restriction(s)

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