To the main 304 course site for Fall 2021.

Office: WH-216

Email: zaslav@math.binghamton.edu

For the list of topics and sections covered, see the main 304 site.

I encourage you to form study groups. Discussion with other students is a big part of learning math.

I expect everyone to read the assigned sections carefully before the lecture.

Supplementary topics are found in our special supplement.

Webwork recommended problems

For Test 1: Sets 1, 3, 4 ##1-6, 6.

For Test 2: Sets 4, 5, 7, 8.

For Test 3: Sets 9-11 and part of 12.

For Final Exam: Set 12, Basic 1 and 2 (as reminders of early September) if you have not done them.

- August–early September: Chapter 1, Section I (omit proof of Lemmas 3.6-7). Also, the appendix on logic and sets and functions (omit mathematical induction).
- 9/10–17: Chapter 1, Section II.
- Matrix multiplication: Ch. 3 Section IV.2: 2.3-6, 2.8-13. Recommended Ex. 2.14-17.
- 9/20–22: Chapter 1, Section III (much of this is review).
- 9/22–24: Chapter 2, Section I.
- 9/27–10/1: Chapter 2, Section II.
- 10/4: Chapter 2, Section II, and review.
- 10/6: Test 1. Coverage: Ch. 1 and 2 (except Section III) and matrix multiplication. Also see the supplement.
- 10/8–13: Chapter 2, Section III.
- 10/18–22: Chapter 3, Sections II-III.
- 10/22–31: Chapter 3, Sections III-IV. (Section IV is partly review.) Also CDTW Section 2.3. WebWork Sets 4, 5, 7, 8.
- 11/1: Chapter 3, Section V.
- 11/1: Review.
- 11/3: Test 2. Coverage: Ch. 2 and 3 (assigned parts).
- 11/5–8: Chapter 3, Section V. Basis change for simplifying matrices.
- 11/8–12: Determinants. Chapter 4, Sections I.1-2, II, III. (Optional reading, if interested: Cramer's Rule for the inverse matrix.)

Note that we are taking the*definition of the determinant*to be the Laplace expansion in row 1 (Theorem III.1.5 in Ch. Four). We are skipping the book's definition (to make more time for eigenvalues). - 11/12–15: Complex numbers. Readings in Matthews Sections 5.1-6.
- 11/15–29: Eigenvalues et al. Readings in Matthews Sects. 6.1-2; Hefferon Ch. 5, Section II.3.
- 11/29–12/3: Diagonalization. Hefferon Ch. 5, Section II (all).
- 12/3–10: Orthogonality. Projection. Hefferon Ch. 3, Section VI. Orthogonal (or "orthonormal") matrices. Reading in Matthews, pages 130, 132.
- 12/11: Review session in WH 100E, 1-3 p.m.

Quiz 1 | Quiz 2 | Quiz 3 | Quiz 4 | Quiz 5 & Solutions | Quiz 6 & Solutions | Quiz 7 solution | Quiz 8 solution | Quiz 9 | Quiz 10 | Quiz 11 | Quiz 12 & Solutions

- Exam 1: Wednesday, Oct 6. Coverage: Everything we have done up to that time, including class, textbook readings and exercises, and Webwork.
- Exam 2: Wednesday, Nov 3. Coverage: Ch. 2 and 3.
- Exam 3: Monday, Dec 6. Coverage: Everything we covered since the last exam (eigenvalues and eigenvectors of matrices and linear transformations, diagonalization, and also change of basis and some orthogonality).
- Final Exam:
**Monday, Dec 13, 2021, 8:05-10:05 p.m. in GW 69EX**. Coverage: The entire course, including orthogonality.

- University PHOTO ID is required to take all exams.
**No electronics**are allowed during exams or quizzes.

Always turn your cell phone to silent before entering the classroom. No cell phone use is allowed except for classwork, such as consulting the textbook. If you do use your phone otherwise, I may confiscate your device for the rest of the class.

To the main 304 course site.