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Systems of linear equations. Matrix algebra. Determinants. Invertible matrix theorem. Cramer?s rule. Vector space R^n; subspaces, bases. Eigenvalues, diagonalization. Linear transformations, kernel, range. Complex numbers (including De Moivre?s theorem). Inner product spaces and orthogonality. Applications.

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Math 1104 C Linear Algebra, Fall 2018

Instructor: Dr. Mohammad R Sadeghi

5260 HP Tel: 613-520-2600 ext. 8673

Email: msadeghi@math.carleton.ca

Office Hours: Tue & Thu: 2:45 – 3:45 pm

Textbook: Linear Algebra and its Applications, Fifth Edition, by David C. Lay, Steven R. Lay,

and Judi J. McDonald. Loose-leaf/ “À la carte edition”

Additional References:

1- Linear Algebra and its Applications, Third Edition by

Mohammad R. Sadeghi & Jabir Abulrahman

2- A First Course in Linear Algebra, by Rob Beezer, Online

http://linear.ups.edu/html/fcla.html

3- Elementary Linear Algebra, First Canadian Edition, Venit, Bishop and Brown

Prerequisite: Ontario Grade 12 Mathematics: Geometry and Discrete Mathematics; or an OAC

in Algebra and Geometry; or MATH 0005; or equivalent; or permission of the school.

Lectures: Tue & Thur.: 4:05 to 5:25 pm at AT 301

Classes start on Thur. Sep 6, and classes end at Thur. Dec 6

Tutorials: Thur. 2:35-3:25 pm starting Sept. 13

Sec

Location

Students Last name

TAs name

TAs email address

C1

SA 406

A. – C.

Yanzhe Zhang

yanzhezhang@cmail.carleton.ca

C2

SA 317

D. – H.

Ke Xu

vickyxu@cmail.carleton.ca

C3

ME 3165

I. – Muh.

Evan Gibney

evangibney@cmail.carleton.ca

C4

SA 402

Mus. – Sh.

Anton Galica

antongalica@cmail.carleton.ca

C5

SA 304

Si – Z.

Dmytro Sytnik

dimasytnik@cmail.carleton.ca

Evaluation: 10% Tutorial attendance

40% Tests (The best 2 tests out of 3 tests)

50% Final Exam

Tutorial Work There will be a one hour tutorial each week. Except for the three test weeks, the tutorials

will be devoted to problem solving. Please make sure to always go to the tutorial section you are

registered in.

Term Tests

There will be three 50-minute tests held in the tutorial hours on:

Oct 4, Nov 8, Nov 29.

There will be no make-up tests. Students are allowed to miss one test without penalty. In case when a

student misses more than one test due to illness (supported by a doctor note) jury duty or extreme

personal misfortune, the term mark may be pro-rated. It is each student’s responsibility to collect the

marked tests from the TA. The test papers are normally distributed in the tutorial session following the

date of the test.

Final Examination:

There will be a 3-hour exam scheduled during the usual exam period. It is the responsibility of

each student to be available at the time of the final examination. In particular, no travel plans for

the examination period in December should be made until the examination schedule is published.

Calculators:

Only non-programmable, non-graphing calculators for the tests and the final examination.

Announcements:

You are responsible for keeping up with information announced in class or sent to your connect email

account. The following course schedule is approximate, and may change subject to the progress of the

class. The material covered on each test will be announced in class one week before the test.

Tentative Course Schedule

The following week by week schedule is subject to change depending on the progress of the course

Dates

Topics

1

Sept 6

1.1

Systems of Linear Equations

2

Sept 12 , Sept 14

First tutorial

1.2, 1.3, 1.4

Row Echelon Forms , Vector Equation, Matrix Equation Ax = b,

3

Sept 19 , Sept 21

1.5 , 2.1

Solution Sets of Linear Systems, Matrix Operations,.

4

Sept 26, Sept 28

2.2, 2.3, 3.1

Inverse of a Matrix, Characterizations of Invertible Matrices, Determinants,

5

Oct 3 , Oct 5

Test 1, Oct 5

3.2, 3.3

Properties of Determinants, Cramer’s Rule

6

Oct 10 , Oct 12

2.8, 1.7, 2.9

Subspaces of , Linear dependence, Dimension and Rank

7

Oct 17 , Oct 19

1.8, 1.9

Introduction to Linear Transformations, The Matrix of a Linear Transformation

8

Oct 22 , Oct 26

break

FALL BREAK

9

Oct 31 , Nov 2

5.1, 5.2

Eigenvectors and Eigenvalues, The Characteristic Equation

10

Nov 7 , Nov 9

Test 2, Nov 9

5.3

Diagonalization

11

Nov 14 , Nov 16

App B

Complex Numbers, Complex Eigenvalues

12

Nov 21 , Nov 23

6.1

Inner Product, Length and Orthogonality

13

Nov 28 , Nov 30

Test 3, Nov 30

6.2

Orthogonal Sets

Dec 5 , Dec 7

6.3

Orthogonal Projections, Final Exam Review

Math Tutorial Centre: You can study and get help from teaching assistants in the Math Tutorial centre.

It is located in HP3422 and is open Monday-Thursday 11:00am-4:00pm, and Fridays 11:30am-3:30pm.

You may also join the Math & Stats Learning Assistance Program which offers extra support for first year

mathematics courses. For more information, visit https://carleton.ca/math/math-tutorial-centre

https://carleton.ca/math/math-learning-assistance-program

Students with disabilities: Students with disabilities requiring academic accommodations in this course are

encouraged to contact the Paul Menton Center for Students with Disabilities (500 University Center) to complete the

necessary forms. After registering with the Center, make an appointment to meet with me in order to discuss your

needs at least two weeks before the first in-class test or CUTV midterm exam. This will allow for sufficient time to

process your request. Please note the following deadlines for submitting completed forms to the PMC for formally

scheduled exam accommodations: TBA for fall and fall/winter term courses, and TBA for winter term courses."

Academic Accommodation: You may need special arrangements to meet your academic

obligations during the term because of disability, pregnancy or religious obligations. You can

visit the Equity Services web site to view the policies and to obtain more detailed information

on academic accommodation at http://carleton.ca/equity/accommo

Academic Accommodation: You may need special arrangements to meet your academic

obligations during the term. For an accommodation request the processes are as follows:

Pregnancy obligation: write to me with any requests for academic accommodation during the

first two weeks of class, or as soon as possible after the need for accommodation is known to

exist. For more details see the Student Guide

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