MATHS10221B (HAM)
Introduction to Algebra
15 Points
Staff
Convenor(s)
Daniel Delbourgo
daniel.delbourgo@waikato.ac.nz

Administrator(s)
Librarian(s)
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Paper Description
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 facetoface lectures (approx. 34 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.
Paper Structure
Learning Outcomes
Students who successfully complete the paper should be able to:
Assessment
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 withheld 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.Assessment Components
The internal assessment/exam ratio (as stated in the University Calendar) is 50:50. The final exam makes up 50% of the overall mark.
Required and Recommended Readings
Required Readings
Recommended Readings
“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.
Online Support
It is your responsibility to check your marks are correctly entered.
Workload
Linkages to Other Papers
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.