PAUL BALMER
Professor of
Mathematics
UCLA
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TEACHING
MATH 115A - LINEAR ALGEBRA - Spring 2019 - Lecture 3.
DO NOT TAKE THIS CLASS IF YOU HAVE A TIME CONFLICT WITH ANY OF THE EXAMS!
- Schedule & TAs
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MWF 11-11:50, MS 5138.
Office hours: MWF 12:30-1:30 pm in MS 6129.
TA: Dean Menezes.
- Textbook
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S. Friedberg, et al, Linear Algebra, Custom UCLA 4th Ed., Prentice Hall. See details at UCLA store.
- Calendar and outline
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Week 1: §§ 1.2-1.4: Vector spaces and subspaces. Linear combinations.
Week 2: §§ 1.5-1.6: Linear (in)dependence, bases and dimension.
Week 3: §§ 2.1-2.2: Linear transformations and matrices. Review.
Week 4: (Monday April 22: Midterm 1) § 2.3: Composition and matrix multiplication.
Week 5: §§ 2.4-2.5 & § 4.4: Invertibility and change of coordinates. Recalling determinants.
Week 6: §§ 5.1-5.2: Eigenvalues and eigenvectors. Diagonalizability.
Week 7: § 5.2 & § 6.1: Diagonalizability. Inner products. Review.
Week 8: (Wednesday May 22: Midterm 2) § 6.1: Norms.
Week 9: (Monday May 27: holiday) §§ 6.2-6.3: Gram-Schmidt. Adjoint operators.
Week 10: §§ 6.4: Normal and self-adjoint operators. Review.
- Testing
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Weekly homework due every Friday in class - see details below.
1st midterm: Monday, April 22, in class.
2nd midterm: Wednesday, May 22, in class.
Final exam: Wednesday, June 12, 8:00 am - 11:00 am, in room MS 5138.
- Missed it?
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If you miss an exam or a homework deadline, don't worry! The system is flexible: You can miss two homework without consequences. Also, if you miss one midterm, your final will simply weigh more. Things happen - I understand. However, instead of giving make-up exams, I build in some flexibility in the grading scheme. So, you don't need to come and tell me what happened because
there will be NO MAKE-UP AT ALL, under no circumstances, neither for homework, nor for the midterms, nor for the final exam.
- Grading
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Homework will simply record regularity of your work, independently of the quality. So, do not waste your time copying other people's work! Returning 8 out of the 10 weekly homework gives you full HW score.
Midterms count for 15% each. However, if you do better on the final than on one of the midterms, your lowest midterm grade is dropped and the final counts 75% instead of 60%.
In short, your overall final grade will be the best of the following two variants:
- 10% homework + 30% for both midterms + 60% final.
- 10% homework + 15% best midterm + 75% final.
Regrades on midterms must be requested upon reception of your copy, no later than two weeks after the exam date. After this time, no requests for corrections will be honored.
- Homework
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The numbers refer to problems in the corresponding section of the textbook.
Week |
Due date |
Exercises in textbook |
1 |
Fri, Apr 5 |
§ 1.2: Ex: 6, 7, 9, 15, 16, 19, 20, 22;
§ 1.3: Ex: 6, 8, 19, 24, 29, 30, 31.
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2 |
Fri, Apr 12 |
§ 1.4: Ex: 2, 3, 8, 10, 12, 14, 15, 16;
§ 1.5: Ex: 3, 6, 7, 13, 17, 18, 19.
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3 |
Fri, Apr 19 |
§ 1.6: Ex: 4, 9, 11, 14, 15, 17, 22, 29, 32;
§ 2.1: Ex: 3, 5, 11, 13, 14, 17, 18, 21, 24, 26, 31, 36.
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4 |
Fri, Apr 26 |
§ 2.2: Ex: 2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16.
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5 |
Fri, May 3 |
§ 2.3: Ex: 3, 4, 11, 12, 13, 16, 17;
§ 2.4: Ex: 2, 3, 4, 7, 9, 13, 14, 15, 17, 19, 23.
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6 |
Fri, May 10 |
§ 2.5: Ex: 3, 5, 6, 8, 9, 10, 11, 13, 14;
§ 4.4: Ex: 1, 3, 4, 5, 6.
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7 |
Fri, May 17 |
§ 5.1: Ex: 3, 4, 6, 7, 9, 12, 13, 22, 23;
§ 5.2: Ex: 3, 8, 9, 10, 11, 12, 13, 14, 16.
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8 |
Fri, May 24 |
§ 6.1: Ex: 2, 8, 9, 10, 12, 14, 15, 16, 18, 21.
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9 |
Fri, May 31 |
§ 6.2: Ex: 2, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18;
§ 6.3: Ex: 7, 8, 9, 10, 11, 12, 13, 14.
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10 |
Fri, Jun 7 |
§ 6.4: Ex: 3, 4, 6, 7, 9, 11, 13, 17, 21.
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Research seminar, see Derivators at UCLA.
Here is a list of past courses.
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