TEACHING

MATH 33A - LINEAR ALGEBRA AND APPLICATIONS - WINTER 2010.

General information

Schedule, rooms, discussions, TA's, textbook, etc. (There is a parallel section, with Prof. De Sapio.)

Calendar

Week 1: Linear systems, Gauss-Jordan, matrices. Linear maps (§§ 1.1-1.3, 2.1).
Week 2: Linear maps and inverses (§§ 2.2-2.4).
Week 3: Subspaces (§§ 3.1-3.2). Monday 18: holiday.
Week 4: Bases and dimension (§§ 3.3-3.4).
Week 5: Orthogonality (§§ 5.1-5.3).
Week 6: Least square and determinants (§§ 5.4, 6.1-6.2).
Week 7: Determinants and review (§ 6.3). Monday 15: holiday.
Week 8: Eigenvalues and eigenvectors (§§ 7.1-7.3).
Week 9: Diagonalization and symmetry (§§ 7.4-7.5, 8.1).
Week 10: Quadratic forms and review (§§ 8.2-8.3).

Testing

Homework: weekly, due every Friday - see details below.
Midterms: Monday, January 25 and February 22, 11:00-11:50 am, in class.
Final exam: Wednesday, March 17, 11:30 am-2:30 pm, in Moore 100.

There will be NO MAKE-UP, neither for homework, nor for the mid-terms, nor for the final exam!

DO NOT TAKE THIS CLASS IF YOU HAVE A TIME CONFLICT FOR THE FINAL EXAM!

Grading

Homework grade computed over the 8 best among the 10 weekly grades. General final grade computed from best of the following two variants:

• 20% homework grade + 20% midterms grade + 60% final exam grade.
• 20% homework grade + 10% best midterm grade + 70% final exam grade.

Regrades on homework or exams must be requested within two weeks of the due date or exam date. After this time, no requests for corrections will be honored.

Homework

The best way to learn the material is to do lots of exercises, even beyond the ones assigned below. For instance, each chapter has additional exercises (on p. 38 for Chap. 1, e.g.). Reading additional material in the textbook is also highly recommended.
The final answers to odd-numbered exercises are available at the end of the book. Only your solutions to some even-numbered ones will be graded, although credit will also be given for returning solutions to odd-numbered ones.
HW are due on Friday, at 11:00 am, in class. If necessary, you can return your HW directly to your TA before that deadline. Late homework won't be considered.
Don't forget to indicate your name and your section (A-F) on your HW !!

Week	Due date	Exercises in textbook
1	Fri, Jan 8	§ 1.1: Ex. 7, 12, 26, 27, 44, 47. § 1.2: Ex. 4, 8, 18, 21, 35, 43. § 1.3: Ex. 1, 3, 5, 12, 18, 20, 28, 49.
2	Fri, Jan 15	§ 2.1: Ex. 4, 7, 8, 11, 13, 14, 25, 27, 29, 30, 38. § 2.2: Ex. 7, 8, 37, 42. § 2.3: Ex. 5, 7, 29, 46.
3	Fri, Jan 22	§ 2.4: Ex. 8, 20, 29, 32, 53, 78. § 3.1: Ex. 8, 13, 15, 20, 30, 34.
4	Fri, Jan 29	§ 3.2: Ex. 8, 16, 17, 29, 34, 49. § 3.3: Ex. 16, 23, 27, 36, 38, 80.
5	Fri, Feb 5	§ 3.4: Ex. 7, 9, 18, 25, 38, 50. § 5.1: Ex. 5, 10, 21, 28, 37, 42, 44, 45. § 5.2: Ex. 5, 18, 33, 38.
6	Fri, Feb 12	§ 5.3: Ex. 10, 11, 22, 30, 33. § 5.4: Ex. 1, 10, 20, 21, 31, 32, 33, 36, 37. § 6.1: Ex. 7, 28, 29, 35, 41, 48, 56, 61.
7	Fri, Feb 19	§ 6.2: Ex. 3, 15, 30, 32, 39, 40, 43, 48. § 6.3: Ex. 1, 2, 31, 34.
8	Fri, Feb 26	§ 7.1: Ex. 1, 4, 8, 15, 38, 53. § 7.2: Ex. 5, 9, 10, 22, 33, 38.
9	Fri, Mar 5	§ 7.3: Ex. 5, 8, 12, 15, 20, 21. § 7.4: Ex. 7, 16, 25, 27, 32, 36. § 7.5: Ex. 2, 7, 20, 23, 38(a,b).
10	Fri, Mar 12	§ 8.1: Ex. 5, 8, 25, 42. § 8.2: Ex. 16, 29, 64, 66. § 8.3: Ex. 1, 10, 12, 14.
Final	Wed, Mar 17	N/A