UNIVERSITY OF WAIKATO Department of Mathematics (SCMS)
MATH253-10A - Linear Algebra
ENGG283-10A – Linear Algebra for Engineers
Paper Outline
LECTURER
Dr Ian Hawthorn Room: G3.03 Phone: 838 4466 ext. 8217 Email: [email protected]
LECTURE TIMES (please check the online timetable for any updated information)
Monday 3.10 – 5.00pm (2 hours) L.G.02 Friday 3.10 – 4.00pm S.1.04
All three hours are timetabled as lecture hours and you are expected to attend all of them. However depending on our progress through the material, the second hour on Monday may be used as a problem solving workshop.
PAPER DESCRIPTION AND OBJECTIVES
A study of the main ideas and techniques of linear algebra with an emphasis on applications of the subject.
Matrix transformations in real Euclidean spaces are included in this paper. The paper is worth 10 points.
PAPER CONTENT
Vector Spaces, linear independance and span, basis and dimension, change of basis, linear transformations and matrices, kernel and image, choosing appropriate bases and the dimension theorem. Complex spaces.
Vector space endomorphisms and square matrices. Inverses. Determinants. Diagonalisation, eigenvectors and eigenvalues. JCF. Inner product spaces, orthonormal bases and change of basis, Gram-Schmidt orthogonalisation, orthogonal diagonalisation and the spectral theorem. Bilinear forms and matrices, change of basis for bilinear forms, quadratic forms in 2-D. Hermitian, normal and unitary matrices. The spectral theorem for complex spaces.
RECOMMENDED FURTHER READING
“Elementary Linear Algebra” 9th Edn by Howard Anton.
“A First Course in Linear Algebra” 2nd Edn by David Easdown.
It is not necessary to buy these books, however extra problems will be given from these. Copies will be available on desk copy at the library.
ASSESSMENT
Your final mark will be based on both internal assessment (c) and the final examination (f) with a c:f weighting of either 1/2:1/2 or 0:1, whichever works to your advantage. Each test (worth 1/3rd) will weight equally with the combined total assignment mark (1/3rd). TESTS will be held as follows:
Wednesday 21 April 7.00 – 9.00pm PWC Monday 31 May 7.00 – 9.00pm PWC
If you miss a test because of illness, you must supply a Medical Certificate (MC) (signed by a Doctor NOT a Practice Nurse) to the Mathematics Secretary (G3.19); without such a certificate you will not obtain any credit for the test from which you were absent.
The exact adjustment will be determined on a case by case basis considering the amount and nature of the missed work. If a significant amount of coursework is missed, a higher weighting may be given to the final examination.
An unrestricted pass (ie. C or better) will be awarded only to students who achieve both a final mark of at least 50% AND an examination mark of at least 40%. The date, time and location of the Final Examination will be arranged by Examinations Office (SASD) during the semester.
MATH HELP SESSIONS
In addition to the tutorials, the Department will provide FREE Math Help sessions for all Level I & II Mathematics papers DAILY from 1-2pm in G.B.13 from Monday 8 March (SECOND WEEK of teaching) to Friday 4 June inclusive.
These sessions provide an excellent opportunity for students to discuss difficulties with lectures and assignment problems.
ASSIGNMENT HAND-IN POINT
Assignments to be put in the MATH253/ENGG283 slot under the Mathematics Reception Desk on the third level of G Block. LATE ASSIGNMENTS WILL BE GIVEN A MARK OF ZERO.
NOTICEBOARD AND RETURN OF MARKED WORK
You should frequently check the MATH253/ENGG283 noticeboard on the third floor of G Block near the G3.12 Lab entrance.
Computer printouts of your internal assessment marks will also be displayed on this noticeboard.
It is
your responsibility to check your marks are correct
on the printout.
TUTORIAL assignments will be returned in lectures or via pigeonholes near the lift on the third floor of G block.
TESTS will be returned within two weeks, via the SCHOOL OFFICE on the GROUND FLOOR of G Block.
MATHEMATICS SUBJECT FORUM
The Mathematics Subject Forum, which consists of staff and student representatives, meets about twice each semester. It serves as an informal forum for discussion of matters concerning the subject of Mathematics in the University. The student representatives on the Committee also elect, from among themselves, one representative on each of the School Boards of Study.
Elections of two representatives from each undergraduate paper will be held in late March.
The lecturer in charge will be responsible for the conduct of elections in their classes, and will act as returning officer.
Your attention is drawn to the following policies and regulations contained in the 2010 University Calendar
Assessment Regulations 2005 (pg 119) Student Discipline Regulations 2008 (pg 697) Computer Systems Regulations 2005 (pg 715) Policy on the Use of Maori for Assessment (pg 126)
Ethical Conduct in Human Research and Related Activities Regs 2008 (pg105) Student Research Regulations 2008 (pg 103)
Student Complaints Policy (pg 712)
For other information please refer to website: http://www.math.waikato.ac.nz/studentinfo.html
