# 21-341: Linear Algebra

### Schedule and Homework

For each week there will be a link to a page with a reading assignment and a homework assignment.

This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.

 Week #1:  Jan 13 - 17 Homework 1.1. Some problems which lead to linear algebra Administrative Note: Class cancelled Wednesday due to illness. Administrative Note: Class will not meet on Friday 17 January. Week #2:  Jan 20 - 24 Homework 1.2. Number systems and mathematical induction 2.3. Vector spaces 2.4. Subspaces and linear indepencence Administrative Note: Monday, January 20 is Martin Luther King Day. Class will meet as usual. Week #3:  Jan 27 - Jan 31 Homework 2.5. The concepts of basis and dimension 2.6. Row equivalence of matrices Week #4:  Feb 3 - 7 Homework 2.7. Some general theorems about fineitely generated vector spaces 2.8. Systems of linear equations Week #5:  Feb 10 - 14 Homework 2.9. Systems of homogeneous equations Exam #1 will be given on Wednesday, February 12. Here is a study guide. Week #6:  Feb 17 - 21 Homework 2.10. Linear manifolds Administrative Note: Classes were canceled on Monday 17 February due to inclement weather. Week #7:  Feb 24 - Feb 28 Homework 3.11. Linear transformations 3.12. Addition and multiplication of matrices Week #8:  Mar 3 - 7 Homework 3.13. Linear transformations and matrices Administrative note: Friday, March 7 is the Mid-Semester Break. Class will not meet. Week #9:  Mar 10 - 14 Homework 4.14. The concept of symmetry 4.15. Inner products Week #10:  Mar 17 - 21 Homework 5.16. Definition of determinants Exam #2 will be given on Wednesday, March 19. Here are some review problems. Mar 24 - 28 Spring Break Week #11:  Mar 31 - Apr 4 Homework 5.16. Definition of determinants 5.17. Existence and Uniqueness of determinants 5.18. The multiplication theorem for determinants Week #12:  Apr 7 - 11 Homework 5.19. Further properties of determinants 6.20. Polynomials Administrative Note: Friday 11 April is Spring Carnival. No classes will be held. Week #13:  Apr 14 - 18 Homework 6.20. Polynomials 7.22. Basic concepts (theory of a single linear transformation) Week #14:  Apr 21 - 25 Homework 7.23. Invariant subspaces 7.24. The triangular form theorem Week #15:  Apr 28 - May 2 7.24. The triangular form theorem Exam #3 will be given on Wednesday, April 30. Here is a study guide. More items may be added, so check back. Administrative note: Friday, May 2 is the last day of class. May 13 The Final Exam will be given on Tuesday, May 13, from 8:30am to 11:30am in MM 103. Here are some review problems.

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