Fall 2009 : MATH369 Linear Algebra (section 3)

  1. General information
  2. Prerequisites
  3. Textbook
  4. Homework and quizzes
  5. Exams
  6. Grading scheme
  7. Course syllabus

General information

Prerequisites

The prerequisites for this course is MATH161. If you have taken equivalent courses elsewhere please see the instructor before registering.

Textbook

The textbook for this course is :

defranza.jpeg

Jim DeFranza and Daniel Gagliardi "Introduction to Linear Algebra with applications" McGraw Hill 2009.

It is available from the campus bookstore.

Homework and quizzes

There will be weekly homework, set from the textbook. The homework will be announced on Wednesday on this webpage (next to the syllabus), and must be handed in the following Wednesday at the beginning of the lecture.

There will sometimes be a short quiz at the end of Friday's lecture. This will test the concepts we have covered that week.

Exams

There will be two midterms and one final exam. These will all be held in the same room as the lectures (ENGRG E104).

If you are unable to attend any of these exams because of a legitimate reason (for example, it clashes with an exam for another course), or if you need any special accommodations for taking exams, then you must let the instructor know at least one week in advance.

Grading scheme

Your final grade will be based on your results on the homework (25%), quizzes (5%), midterms (20% each), and final exam (30%).

Course syllabus

We will aim to cover most of the material in the textbook up to and including Section 6.5. The weekly syllabus below will be updated as the semester progresses.

Week

Material covered

Homework

Aug 24-28

Introductory course information
Chapter 1 : Systems of linear equations and matrices

  • 1.1 Systems of linear equations
  • 1.2 Matrices and elementary row operations
  • 1.3 Matrix algebra

1.1, exercises 8, 12, 18.
1.2, exercises 12, 16, 40, 46.
Due Wednesday 2nd September.

Aug 31-Sep 4

  • 1.4 The inverse of a square matrix
  • 1.5 Matrix equations
  • 1.6 Determinants

1.3, exercises 9, 10.
1.4, exercises 6, 22.
1.5, exercise 20.
1.6, exercises 20, 24, 28.
Due Wednesday 9th September.

Sep 7-11
No class Monday
(Labour Day)

Chapter 2 : Linear combinations and linear independence

  • 2.1 Vectors in R^n
  • 2.2 Linear combinations

2.1, exercises 22, 32.
2.2, exercises 8, 14.
2.3, exercises 8, 10, 20, 26.
Due Wednesday 16th September.

Sep 14-18

  • 2.3 Linear independence
Chapter 3 : Vector spaces
  • 3.1 Definition of a vector space
  • 3.2 Subspaces

3.1, exercises 4, 8a, 22a.
3.2, exercises 4, 14, 20.
Due Monday 21st September.
(For faster grading, hand in on Friday 18th.)

Sep 21-25
1st midterm Wednesday

Review of Sections 1.1 to 3.2.
1st midterm exam
Chapter 3 continued

  • 3.2 Subspaces (continued)

Practise for 1st midterm exam: pdf (ignore 2bc, 4, 5, 7, 8).
Solutions to the practise exam: pdf.
More practise for 1st midterm exam: pdf (ignore 4, 5, 6, 7).
And the solutions: pdf.
3.2, exercises 30, 38, 44.
Due Wednesday 30th September.

Sep 28-Oct 2

  • 3.3 Basis and dimension
  • 3.4 Coordinates and change of basis

3.3, exercises 14, 28, 32.
3.4, exercises 10, 14, 18.
Due Wednesday 7th October.

Oct 5-Oct 9

  • 3.4 Change of basis (continued)
  • 3.5 Applications: differential equations

3.4, exercises 16, 20.
3.5, exercises 6, 8.
4.1, exercises 14, 20, 24, 30.
Due Wednesday 14th October.

Oct 12-Oct 16

Chapter 4 : Linear transformations

  • 4.1 Linear transformations
  • 4.2 The null space and range

4.2, exercises 16, 22, 30, 32.
4.3, exercises 6, 8, 16, 28.
Due Wednesday 21st October.

Oct 19-Oct 23

  • 4.3 Isomorphisms
  • 4.4 Matrix representation of a linear transformation

4.4, exercises 8, 10, 14abc, 20.
Due Monday 26th October.
(For faster grading, hand in on Friday 23rd.)

Oct 26-30
2nd midterm Friday

Review of Sections 3.3 to 4.4.
2nd midterm exam
rescheduled to Friday due to snow storm

Practise for 2nd midterm exam: pdf.
Solutions to the practise exam: pdf.
More practise for 2nd midterm exam: pdf.
And the solutions: pdf.
4.5, exercises 6, 12, 16.
Due Friday 6th November.

Nov 2-6

Chapter 4 continued

  • 4.5 Similarity
Chapter 5 : Eigenvalues and eigenvectors
  • 5.1 Eigenvalues and eigenvectors

5.1, exercises 10, 12, 14, 18, 22.
Due Wednesday 11th November.

Nov 9-13

  • 5.2 Diagonalization

5.2, exercises 6, 12, 14, 20, 24, 28.
5.3, exercises 4, 8.
Due Wednesday 18th November.

Nov 16-20

  • 5.3 Systems of linear differential equations
  • 5.4 Markov chains

5.4, exercises 2, 4, 6.
Due Wednesday 2nd December.

Nov 23-27
No classes

Thanksgiving break

To the right are some revision problems.
You can hand these in for extra credit.

1.1, exercise 28.
1.4, exercise 20.
2.3, exercise 28.
3.2, exercise 8.
3.3, exercises 12, 30.
3.4, exercises 14, 18.
4.1, exercise 18.
4.2, exercise 34.
4.4, exercise 6.
4.5, exercise 4.
Due any time before Friday 11th December.

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This page last modified by Justin Sawon
Tuesday, 17-Nov-2009 14:08:45 MST
Email corrections and comments to sawon@math.colostate.edu