MATHS202-19A (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
8217
G.3.03
To be advised
ian.hawthorn@waikato.ac.nz

Lecturer(s)

Administrator(s)

: maria.admiraal@waikato.ac.nz
: rachael.foote@waikato.ac.nz

Placement Coordinator(s)

Tutor(s)

Student Representative(s)

Lab Technician(s)

Librarian(s)

: debby.dada@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 or 9 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.
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Paper Description

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This paper provides a formal approach to linear algebra, with applications. Topics include: axioms of a vector space, linear independence, spanning sets and bases. Subspaces. Linear transformations. Kernels, Images and quotients. Inner product spaces. The Gram-Schmidt process. Eigenvectors and eigenspaces. Shur's lemma. Orthogonal diagonalisation and the spectral theorem. Complex spaces. Diagonalisation properties of unitary and Hermitian matrices. Jordan canonical form and the Jordan-Chevally decomposition, Lie algebras, bilinear forms, tensors, and related topics.
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Paper Structure

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Panopto will be used albeit with considerable misgivings. Panopto seems to result in alarmingly low attendance at lectures and problems with people not keeping up because they think they will watch the lecture later. Weekly Moodle quizzes will be used to try to address this. You are strongly advised to attend all the lectures if you can, not least because it gives you a chance to ask questions and get direct assistance. It looks like we will have a small class of around 30, and some lectures will be spent in semi-tutorial fashion working problems in class. You won't get any benefit from that by watching over panopto.
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Learning Outcomes

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Students who successfully complete the course should be able to:

  • Demonstrate understanding of the mathematical concepts
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  • Demonstrate the ability to solve problems.
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  • Demonstrate the ability to use definitions and construct proofs
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  • Be able to apply concepts from linear algebra appropriately in applications
    Linked to the following assessments:
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Assessment

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There are two tests, at least three assignments, and approximately weekly online quizzes.

The main purpose of the quizzes is to provide an incentive to keep up with the lectures.

The assignments are more substantial. Tests are tests. And the exam is self explanatory.

Please note the dates rooms and times for the two tests and notify the lecturer as soon as possible if these are problematic.

  • Test 1 : Wednesday 10 April , 6:30pm , S1.04
  • Test 2 : Wednesday 29 May , 6:30pm , S1.04
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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
10 Apr 2019
6:30 PM
15
2. Test 2
29 May 2019
6:30 PM
15
3. Assignments
15
4. Quizzes
5
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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Required and Recommended Readings

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Required Readings

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There are no required readings
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Recommended Readings

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  • Elementary linear algebra by Anton (any edition)
  • Advanced Linear algebra by Roman (third edition)
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Online Support

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We will be using Moodle extensively. Please keep an eye on it for notices and other useful information.
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Workload

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It is a 15 point paper so we'll aim for 150 hours of work. That equates to roughly 10 hours per week, so you should expect to put in 6 hours per week of work for this paper in addition to the 4 hours of lectures.

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Linkages to Other Papers

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Prerequisite(s)

Prerequisite papers: MATH102 or MATHS102

Corequisite(s)

Equivalent(s)

Restriction(s)

Restricted papers: MATH253

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