Math 1688 Linear Algebra (Winter 2021)

Lectures and Exercses combined: Tuesdays 16:10 - 18:45 in B-4 s. 2.39.

Winter 2021 Office hours: Mondays and Tuesdays 14:00 - 16:00 in C-11 p. 3.05. (These are optional. Come if you want extra help.)

Information

• Grading policy.
• Speaking mathematics. Examples of how to say formulas out loud. Especially helpful if English is not your first language.
• There is no physical textbook. For the first four weeks we will mostly follow chapters from Paul's Online Notes, which cover several courses from Lamar University.
  • Course "textbook" showing the order of topics compared to Paul's.
  • Review pages for trigonometry.
• Suggested video series. (I have only watched some of these, but I have heard from previous students that they can be helpful.)
  • Professor Leonard (11.1-11.5 only). Full video lectures from courses at Merced College.
  • Khan Academy. Hundreds of worked examples and practice problems.
  • 3Blue1Brown. Focuses on ideas and visuals, with fewer specific examples.
• Lecture slides
• Slides from 7 October. Course intro, algebra with complex numbers.
• Slides from 14 October. Geometry of complex numbers, polar and exponential forms.
• Slides from 21 October. Complex conjugates, roots of unity, intro to polynomials.
• Slides from 28 October. Factoring polynomials, irreducible polynomials.
• Slides from 11 November. Conjugate Pairs Theorem, multiplicity, partial fractions.
• Slides from 18 November. Partial fractions, exam review.
• Slides from 25 November. Vectors: addition, scalar multiplication, dot product.
• Slides from 2 December. Vector subtraction, equations of planes.
• Slides from 9 December. Linear combinations, linear independence, equations of lines.
• Slides from 16 December. Cross products, exam review.
• Slides from 20 December. Matrix dimensions, matrix multiplication.
• Slides from 4 January. Linear transformations, identity matrix.
• Slides from 13 January. Inverse matrix, determinant, eigenvectors.
• Slides from 20 January. Eigenvalues, REVIEW.

Task lists

• List 1. Algebra and trig review, complex numbers. Answers.
• List 2. Real and complex polynomials. Answers.
• List 3. Extra practice: complex numbers and polynomials. Answers.
• List 4. Vector +, –, ·, scalar multiplication, linear combinations. Answers.
• List 5. Linear independence, plane and line equations. Answers.
• List 6. Cross product, matrix multiplication. Answers.
• List 7. Linear transformations, identity, inverse, determinant. Answers.
• List 8. Eigenvectors, eigenvalues. Answers.
• List 9. Review. Answers.

All grades will be recorded on ePortal.

• Exam 1 in class on 22 November. Start time: 4:15.
• After 30 November, grades for Quizzes 1-3 and Exam 1 will not be changed for any reason.
• Exam 2 in class on 20 December. Start time: 4:15.
• After 31 December, grades for Quizzes 1-5 and Exams 1-2 will not be changed for any reason.
• After 31 January, grades for Exams 1-2 and all quizzes will not be changed for any reason.
• Exam 3 on 31 January in class. Second attempt 12 pm on 6 Feb in 0.38 / C-13.