MAT188H1S LINEAR ALGEBRA: Course Information December 22, 2014

Lectures: Mondays, 6:10-9 PM in GB221, starting Jan 12. The instructor is D. Burbulla

Textbook: Elementary Linear Algebra with Applications by Jeffrey Holt. Warning: this is only thesecond time we are using Holt’s book. Its order of topics is totally different than the order oftopics in books we were using previously. Keep this in mind when you look at old tests andexams prior to 2013. Moreover, Holt includes much more material on linear transformations thanour previous books, but less material on vectors in three dimensions than our previous books.Anything you know from high school—such as the dot product, the cross product, equations oflines and planes in three dimensions—can be used in this course, if it helps you.

Marking Scheme: WeBWorK Problem Sets: 10% Quizzes: 20% Test: 20% Final Exam: 50%

Homework: some exercises have been picked as suggested homework; see the back of this page.These are the ones that your TA should be prepared to help you with.

Tutorials: are Wednesdays, 4:10-6 PM in RS211. Tutorials start on Wednesday, Jan 14.

WeBWorK Problem Sets: there will be five Problem Sets. Due dates can be found on the obverseof this page. The link for WeBWorK is available in the Course Materials of the MAT188 websiteon the Portal.

Quizzes: There will be five 30 min quizzes, to be held in the last 30 min of tutorial on Jan 14, Jan 28,Feb 11, Mar 18 and Apr 1. Only the best four quizzes will be counted.

Test: There will be a 110 min test in tutorial on Wednesday, Mar 4, 4:10-6 PM.

Final Exam: The final exam, 2 and 1/2 hours long, will be scheduled by the Faculty office, duringthe exam period, April 14 to April 29.

Math Aid Hours: The math aid office is in GB 149. Hours: MTWRF 12:10-2:00 PM

Calculators: Use of a Casio FX-991 MS or Sharp EL-520X calculator will be permitted during allquizzes, tests and exams. However, it is still your responsibility to explain your work. A correctanswer with no justification will receive no marks.

Course Websites: In addition to the course websites which can be accessed through the U of Tportal there is the coordinator’s home page: http://www.math.toronto.edu/burbulla/

Tentative Lecture Schedule:

Jan 12 Sections 1.1, 1.2Jan 19 Sections 1.4, 2.1Jan 26 Sections 2.2, 2.3Feb 2 Sections 3.1, 3.2Feb 9 Sections 3.3, 4.1Feb 16 Reading Week: no classFeb 23 Sections 4.2, 4.3Mar 2 Sections 5.1, 5.2Mar 9 Sections 5.3, 6.1Mar 16 Sections 6.3, 6.4Mar 23 Sections 6.6, 8.1Mar 30 Sections 8.2, 8.3Apr 6 Section 8.5; review

Suggested Homework and Tutorial Schedule: sections marked with an asterisk (*) are optionaland may not be covered in class. They will not be tested. What each quiz or test covers will beconfirmed during the term. Note: in addition to the Suggested Homework Exercises you should tryall the True or False questions in each section!

Chapter Section Suggested Homework ExercisesSystems of Sec 1.1 5, 13, 19, 27, 33, 35, 39, 45, 49, 63

Linear Equations Sec 1.2 7, 9, 13, 21, 25, 30, 41, 53, 55, 57Sec 1.4 1, 3, 9, 11, 17, 19, 21, 25Sec 2.1 6, 9, 13, 17, 25, 29, 49, 57, 61, 79

Euclidean Space Sec 2.2 9, 11, 15, 19, 27, 33, 41, 49, 65, 71Sec 2.3 5, 11, 17, 27, 31, 37, 53, 54, 57, 69Sec 3.1 7, 11, 25, 27, 31, 37, 51, 52, 61, 63

Matrices Sec 3.2 3, 9, 13, 19, 21, 29, 37, 53, 55, 61Sec 3.3 7, 12, 19, 23, 26, 27, 39, 54, 61, 63Sec 4.1 5, 6, 15, 16, 25, 31, 39, 42, 65, 69

Subspaces Sec 4.2 9, 10, 15, 16, 27, 31, 37. 38, 64, 73Sec 4.3 3, 7, 11, 15, 19, 21, 25, 39, 57, 58Sec 5.1 3, 9, 15, 31, 33, 37, 39, 53, 57, 77

Determinants Sec 5.2 3, 13, 17, 21, 25, 37, 39, 59, 63, 65Sec 5.3 5, 11, 19, 21, 23, 27, 57, 58, 59, 67Sec 6.1 3, 17, 27, 29, 47, 49, 52, 57, 61, 63

Eigenvalues Sec 6.3 9, 11, 15, 19, 21, 28, 29, 45, 46, 47and Eigenvectors Sec 6.4 3, 7, 13, 17, 25, 27, 40, 43, 44, 45

Sec 6.6 3, 13, 17, 21, 23, 25, 27, 29, 31, 37Sec 8.1 9, 14, 19, 23, 25, 31, 32, 68, 69, 71

Orthogonality Sec 8.2 9, 11, 14, 17, 19, 22, 25, 27, 30, 50Sec 8.3 9, 10, 17, 21, 23, 27, 59, 62, 63, 66Sec 8.5* None

Date In TutorialJan 14 Sec 1.1 & 1.2

Quiz 1Jan 21 Sec 1.4 & 2.1

Jan 28 Sec 2.2 & 2.3Quiz 2

Feb 4 Sec 3.1 & 3.2

Feb 11 Sec 3.3 & 4.1Quiz 3

Feb 25 Sec 4.2 & 4.3

Mar 4 Test4:10-6:00 PM

Mar 11 Sec 5.1, 5.2 & 5.3

Mar 18 Sec 6.1, 6.3 & 6.4Quiz 4

Mar 25 Sec 6.6 & 8.1

Apr 1 Sec 8.2 & 8.3Quiz 5

Apr 8 review

We will not cover numerical methods, Sections 1.3 and 6.2. We may or may not include complexeigenvalues in Sections 6.6. Either way, quizzes, tests and exams in MAT188H1S will not requirecomplex numbers. In Section 8.3 we’ll skip QR Factorization. We will not cover any of Chapters 7,9, 10 or 11.

WeBWorK Problem Set Due Dates:

Problem Set 1 January 27Problem Set 2 February 10Problem Set 3 March 3Problem Set 4 March 17Problem Set 5 April 7