MATHS202-23A (HAM)

Linear 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)

Ian Hawthorn

Ian Hawthorn
9013
G.3.03
See Moodle
ian.hawthorn@waikato.ac.nz

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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What this paper is about

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This paper provides a thorough study of linear algebra and introduces the other algebraic structure which are the basis of modern algebra.
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How this paper will be taught

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This paper will be taught in lecture/lectorial format. The two hour session in particular will mix lectures with in-class problem solving and will include a short assessment. Further assessment will be provided by assignments, tests, and the final examination. There will be three tests. These will be held in class as scheduled during the 2 hour session. This is an on campus paper and is not set up to accommodate online learning.
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Required Readings

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You are not required to purchase a textbook for this paper. However there are many texts that cover this material in the university library. Any text with the words "linear algebra" in the title is likely to be relevant. The texts by Howard Anton are particularly good.

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Learning Outcomes

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Students who successfully complete the course should be able to:

  • Solve systems of linear equations via the Gauss Jordan method, find matrix inverses and compute determinants by cofactor expansion and Gaussian elimination. (WA1, WA2, WA3)
    Linked to the following assessments:
    • Problems (1)
    • Assignments (2)
    • Test 1 (3)
    • Test 2 (4)
    • Exam (5)
  • Determine whether a set of vectors is linear independent, forms a subspace or a basis and determine the dimension of the span of a set of vectors. Understand and apply the rank-nullity theorem in the context of linear transformations. (WA1, WA2, WA3)
    Linked to the following assessments:
    • Problems (1)
    • Assignments (2)
    • Test 1 (3)
    • Test 2 (4)
    • Exam (5)
  • Apply the Gram-Schmidt process to the Euclidean dot product. Compute the eigenvalues, eigenvectors and (where possible) the diagonalisation of a matrix. (WA1, WA2, WA3)
    Linked to the following assessments:
    • Problems (1)
    • Assignments (2)
    • Test 1 (3)
    • Test 2 (4)
    • Exam (5)
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Assessments

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How you will be assessed

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There will be two tests each worth 15% of you grade. The tests will occur during the lecture times.

Another 15% of your grade will be determined by assignments due roughly every two weeks.
Details of these including the assignments themselves and their due dates can be found on Moodle.

Lastly 5% of your grade will be awarded for the completion of problems assigned in class.

Please note the dates and times for the three tests and notify the lecturer as soon as possible if these are problematic - work or holiday are not valid excuses for missing a test.

  • Test 1: Wednesday 5 April during lectures. Room TBA.
  • Test 2: Wednesday 31 May during lectures. Room TBA.

In order to pass this paper with an unrestricted grade (Grade C- or better) you must get an overall total of 50% or greater, and ALSO at least 40% in the final exam.

The time, date and place of the FINAL examination will be arranged by the Examinations Office.

If you are enrolled on a BE(Hons), samples of your work may be required as part of the Engineering New Zealand accreditation process for BE(Hons) degrees. Any samples taken will have the student name and ID redacted. If you do not want samples of your work collected then please email the engineering administrator, Natalie Shaw (natalie.shaw@waikato.ac.nz), to opt out.

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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. Problems
5
  • Hand-in: In Lecture
2. Assignments
15
  • Hand-in: Assignment Box
3. Test 1
15
  • In Class: In Lecture
4. Test 2
15
  • In Class: In Lecture
5. 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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