| Date | Things covered in class | Homework
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| 8/24 |
Section 1.1. Definitions relating to systems of linear equations,
translation into matrices, elementary row operations. The magical form
that we want to transform matrices into will be discussed in the next lecture.
| Due Tuesday 8/29: Read sections 1.1 and 1.2. From section 1.2 turn
in Exercise 1. From Section 1.1 turn in Exercises 1, 4, 7, 17, 19, 20, 21, 23, 24
and additional problem
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| 8/29 | Row echelon form, Reduced Row Echelon Form, Pivots, free and basic variables,
general solutions, existence and uniqueness of solutions based on the echelon form.
| Homework due Thursday 8/31: Understand what Theorems 1 and 2 in section 1.2
are saying (pages 15 and 24). Read section 1.3 and turn in problem 5.
Homework due Thursday 9/7: Section 1.2 problems 1, 2, 3, 5, 9, 11, 12, 15, 17, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33. Note: A LOT of those are true/false or short answer questions |
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| 8/31 | Section 1.3 | Homework due Tuesday, 9/5: Read section 1.4, turn in exercise 1 and 2. Homework due Thursday, 9/7: section 1.3 problems 5, 6, 8, 10, 11, 12, 13, 14, 17, 18, 22, 25
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| 9/5 | Section 1.4 | Homework due Thursday, 9/7: Read section 1.5, turn in exercise 5. Homework due Tuesday, 9/12: Section 1.4 problems 1, 2, 5, 8, 11, 13, 15, 17, 18, 19, 23, 24, 27, 30, 34
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| 9/7 | Parametric vector equation, homogenous and non-homogenous systems of linear equations | Homework due Tuesday, 9/12: Read section 1.6. From section 1.5 turn in the following problems: 2, 6, 11, 16, 22, 23, 24
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| Here are some solutions to problems from section 1.2 |
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| 9/12 | Leontief Input-Output model, Balancing Chemical equations, Review of concepts | Homework for Thursday, 9/14 Read section 1.7 and from it turn in #9. Homework due Tuesday, 9/19: Section 1.6: 4, 5
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| 9/14 | Linear independence | Homework due Tuesday 9/19: Read section 2.1 and turn in problem #1. From section 1.7, turn in problems: 6, 10, 12, 15, 18, 20, 21, 22, 24, 28
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| Here is a supplement to the Linear Independence lecture: Lin. Indep. Supplement
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| 9/19 | Matrix Multiplication | Homework due Thursday 9/21: Read section 2.2. Homework due Thursday, 9/28: Section 2.1. Turn in: 6, 12, 16, 22, 24. Practice (do not turn in): 1, 2, 3, 4, 5, 7, 9, 10, 15, 16, 19, 21, 22, 23, 25
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| 9/21 | Invertible Matrices, Determinant of a 2x2 Matrix | Homework due Thursday, 9/28: Read section 2.3, turn in problem 13 from that section. From section 2.2 turn in: 6, 8*, 16*, 22*, 26, 30, 32 (* means extra credit)
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| Here are some solutions from sections 1.4 - 1.7
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| 9/26 | Theorem 8 in section 2.3, review of some homework problems | Homework due Thursday 9/28: The homework from sections 2.1 and 2.2 is to be turned in on Thursday
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| 9/28 | Sections 3.1 and 3.2 | Homework due Tuesday 10/10: From section 3.1: 12, 18, 22, 28. From section 3.2: 4, 8, 22
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| 10/3 | Section 3.3: Cramer's rule and applications, determinant as area/volume, inverses using the classical adjoint | Homework due Tuesday 10/10: From section 3.3: 6, 16, 22. Also, read section 4.1
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| 10/5 | Exam 1. Review sheet |
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| 10/10 | I handed back Exam 1 along with solutions. We covered section 4.1 (definition of a vector space, subspace, examples, and Theorem 1 on page 221). | Homework due Thursday, 10/12: Read section 4.2 and email me any questions that you might have about section 4.1. Homework due Tuesday, 10/17: From section 4.1, turn in: 2, 6, 16, 22
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| 10/12 | Section 4.2: Null and Column spaces of matrices | Homework due Tuesday, 10/17: From section 4.2 turn in 6, 10, 12, 16
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| 10/17 | Section 4.3: Linearly independent sets in vector spaces, basis, related theorems | Homework due Tuesday, 10/24: From section 4.3 turn in 6, 14, 16
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| 10/19 | Section 4.5: Dimension | Homework due Tuesday, 10/24: From section 4.5 turn in 6, 12, 18
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| 10/24 | I discussed the homework that was due on 10/17 and covered section 4.6 | Homework due Tuesday, 10/31: Section 4.6, 4, 10, 12, 14, 24. Bring any questions that you have for the exam.
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| 10/26 | Section 5.1: Eigenvalues and Eigenvectors |
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| 10/31 | Review for Exam 2 |
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| 11/2 | Exam 2 | The review has been posted. Follow the "Exam 2" link on the left.
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| 11/7 | Sections 5.2 and 5.3. I also handed back Exam 2. | Homework due Tuesday, 11/14: Section 5.1: 6, 14, 18. Section 5.2: 8, 10. Section 5.3: 2, 12, 18
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| 11/9 | Section 6.1 and parts of section 6.2 | Homework due Tuesday, 11/28: Section 6.1: 6, 8, 12, 14, 16
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| 11/14 | Section 6.2 and 6.3 | Homework due Tuesday, 11/28: Section 6.2: 4, 10, 14, 18. Section 6.3: 2, 4, 8, 14. Note: These aren't difficult and shouldn't take long. Ditto for 6.1 problems.
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| 11/16 | Section 6.5 | Homework: Work through the suggested exercise problems for section 6.5
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| Thanksgiving vacation Nov 18 - Nov 27 |
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| 11/28 | Section 6.6 | Homework: Work through problems 1-4 in section 6.6
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| 11/30 | We covered homework from sections 6.1 - 6.3 and problems from section 6.6 |
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| 12/5 | Exam 3 | Click the link on the left for the Exam 3 review sheet.
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| 12/7 | Hand back exams, discuss the final, ICES forms | Please remember to bring a pencil.
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12-12-06 1:30PM - 4:30PM | Final Exam | The final will be held in our usual classroom. Before the review sheet is up, you should use the review sheets for the three previous exams. The final is comprehensive. I will post and announce any extended office hours.
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| Final exam review sheet | Update: I will have extended office hours on Monday from 12pm-2pm and again from 4pm until 6pm. Feel free to email me
any questions or set up an appointment outside of those hours.
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