MATH 1300 A02 Vector Geometry and Linear Algebra

COURSE OUTLINE:

Systems of linear equations and matrices: Gaussian elimination, matrix operations, inverses, elementary matrices, and classes of matrices. (Sections 1.1 – 1.7 in Anton)

Determinants: co-factor expansion, evaluating by row reduction, properties, Cramer’s rule.

(Sections 2.1 – 2.3 in Anton)

Vectors and geometry in the plane R 2 and in the space R 3 , norm of a vector, vector operations, dot product, projections, cross product, lines and planes in R 3 (Sections 3.1 – 3.5 in Anton)

General linear transformations, matrices as linear transformations, rotations, reflections, dilations (Sections 1.8. and 4.9 in Anton)

Eigenvalues and eigenvectors, similar matrices and diagonalization (Sections 5.1 and 5.2 in Anton)

Course Web Page:

http://home.cc.umanitoba.ca/∼moghadm/Math1300

CLASSES AND TUTORIALS:

You must register in and attend one of the tutorial sections associated with your lecture. There are three things you must do to succeed in this course:

• Attend lectures, where theory will be explained and examples calculated.

• Attend your tutorial, where a teaching assistant will present additional examples.

• Study the text and do at least the suggested homework questions.

The tutorials (labs) begin from Tuesday, May 07, 2019. three short quizzes will be given in the tutorial.Dates for quizzes are May 14, May 21 and June 11. The Mathematics Help Centre is located in 412 Machray Hall, and it is a place where you can get help with the material and the exercises related to the course.

EXERCISES : In order to learn the material of the course you will have to do a great deal of practice.

Every student should work through the assigned problems in the exercises.EVALUATION: There will be a two-hour final exam on Friday June 21 at 6:00–8:00 PM. The Midterm exam will be a one-hour exam on Tuesday June 4 during the tutorial session. Your final grade will be based on 10% tutorial quizzes,( no deferrals allowed for any reason), 30% midterm, and 60% final.

Notes, books, calculators or other computing devices are not permitted for any of the quizzes or exams.

The Voluntary Withdrawal deadline is Wednesday May 8, 2019.

Grading Table: The following is the grading table which may be adjusted downwards:

Letter Grade Minimum percentage to guarantee Final Grade Point

A+ 95 4.5

A 86 4.0

B+ 80 3.5

B 72 3.0

C+ 65 2.5

C 60 2.0

D 50 1.0

Recording class lectures: The instructor and the University of Manitoba hold copyright over the course materials, presentations and lectures that form part of this course. No audio or video recording of lectures or presentations is allowed in any format, openly or surreptitiously, in whole or in part without permission.

Course materials (both paper and digital) are for the participant’s private study and research.

Student Accessibility Services: If you are a student with a disability, please contact SAS for academic accommodation supports and services such as note-taking, interpreting, assistive technology and exam accommodations. Students who have, or think they may have, a disability (e.g. mental illness, learning, medical, hearing, injury-related, visual) are invited to contact SAS to arrange a confidential consultation.

Student Accessibility Services http://umanitoba.ca/student/saa/accessibility

520 University Centre

204 474 7423

Student [email protected]

Academic Integrity

The Department of Mathematics, the Faculty of Science and the University of Manitoba regard acts of academic dishonesty in quizzes, tests, examinations or assignments as serious offences and may assess a variety of penalties depending on the nature of the offence. Acts of academic dishonesty include bringing unauthorized materials into a test or exam, copying from another student, plagiarism and examination personation.

Note, in particular that cell phones and pagers are explicitly listed as unauthorized materials, and hence may not be present during tests or examinations. Penalties for violation include being assigned a grade of zero on a test or assignment, being assigned a grade of ”F” in a course, compulsory withdrawal from a course or program, suspension from a course/program/faculty or even expulsion from the University. For specific details about the nature of penalties that may be assessed upon conviction of an act of academic dishonesty, students are referred to University Policy 1202 (Student Discipline Bylaw) and to the Department of Mathematics policy concerning minimum penalties for acts of academic dishonesty.

The Student Discipline Bylaw is printed in its entirety in the Student Guide, and is also available on-line or through the Office of the University Secretary. Minimum penalties assessed by the Department of Mathematics for acts of academic dishonesty are available on the Department of Mathematics web-page.