MAT 1433 Linear Algebra (Winter 2023)
Lectures: Mondays 9:15 - 11:00 in B-4 / 2.38.
Exercises: even Mondays 11:15 - 13:00 in B-4 / 2.38.
Winter 2023 office hours (konsultacje): Mondays and Wednesdays 14:00 - 16:00 in C-19 / A.3.6. These are optional; come if you want extra help. Last day: 5 February 2024.
Grading policy for Winter 2023. All grades will be recorded on ePortal.
Lecture slides
- Slides from 9 October. Vector addition, vector subtraction, scalar multiplication.
- Slides from 16 October. Dot products, linear combinations, equations of lines.
- Slides from 23 October. Orthogonal vectors, cross product.
- Slides from 30 October. Equations of planes, intro to matrices.
- Slides from 6 November. Matrix multiplication.
- Slides from 13 November. Linear transformations, inverse matrix.
- Slides from 20 November. Determinants, solving matrix equations.
- Slides from 27 November. Systems of equations, rank.
- Slides from 11 December. Free variables, eigenvalues and eigenvectors.
- Slides from 18 December. Complex numbers - rectangular and polar form.
- Slides from 8 January. Complex numbers - exponential form.
- Slides from 15 January. Polynomials intro.
- Slides from 22 January. Factors, irreducible polynomials, multiplicity.
- Slides from 29 January. Review, bonus topics.
Task lists
- List 1. Vector +, –, ·, scalar multiplication. Answers.
- List 2. Lines and planes. Answers.
- List 3. Matrix multiplication, linear transformations. Answers.
- List 4. Identity, inverse, determinant, rank. Answers.
- List 5. Review for Celebration of Knowledge 1. Answers.
- List 6. Eigenvectors, eigenvalues, basics of complex numbers. Answers.
- List 7. Exponential form, complex conjugates. Answers.
- List 8. Polynomials, roots, factoring. Answers.
- List 9. Review for Celebration of Knowledge 2. Answers.
Calendar
Language:
EN /
PL. Week starts:
Sunday / Monday
All grades will be recorded on ePortal.
After 30 November, grades for Quizzes 1-3 will not be changed for any reason.
After 30 December, grades for Quizzes 1-4 and Exam 1 will not be changed for any reason.
Suggested resources
- Speaking mathematics. Examples of how to say formulas out loud. Especially helpful if English is not your first language.
- There is no physical textbook, but we will mostly follow chapters from Paul's Online Notes, which cover several courses from Lamar University.
- Suggested video series. (I have only watched some of these, but I have heard from previous students that they can be helpful.)