TEACHING

MATH 33A - LINEAR ALGEBRA AND APPLICATIONS - WINTER 2012.

Schedule, sections and TAs:

for Lecture 1 and Lecture 2.

Calendar

Week 1: Linear systems, Gauss-Jordan, matrices.(§§ 1.1-1.3, 2.1).
Week 2: Linear transformations (§§ 2.2-2.3). Monday 16: holiday.
Week 3: Inverses. Subspaces (§2.4; §§ 3.1-3.2).
Week 4: Bases and dimension (§§ 3.3-3.4). Monday 30: 1st midterm.
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 20: holiday.
Week 8: Eigenvalues and eigenvectors (§§ 7.1-7.3). Monday 27: 2nd midterm.
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.
1st midterm: Monday, January 30, 5:00-6:00 pm, in the following rooms: Lecture 1: Humanities A51. Lecture 2: Franz 1178.
2nd midterm: Monday, February 27, 5:00-6:00 pm.
Final exam: Saturday, March 17, 11:30 am-2:30 pm, in room TBA.
There will be NO MAKE-UP AT ALL, under no circumstances, neither for homework, nor for the mid-terms, nor for the final exam!
DO NOT TAKE THIS CLASS IF YOU HAVE A TIME CONFLICT WITH ANY OF THE EXAMS!

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 the beginning of 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 13	§ 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 20	§ 2.1: Ex. 4, 7, 8, 11, 13, 14, 25, 27, 29, 30, 38. § 2.2: Ex. 7, 8, 37, 42.
3	Fri, Jan 27	§ 2.3: Ex. 5, 7, 29, 46. § 2.4: Ex. 8, 20, 29, 32, 53, 78. § 3.1: Ex. 8, 13, 15, 20, 30, 34.
4	Fri, Feb 3	§ 3.2: Ex. 8, 16, 17, 29, 34, 49. § 3.3: Ex. 16, 23, 27, 36, 38, 80.
5	Fri, Feb 10	§ 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 17	§ 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 24	§ 6.2: Ex. 3, 15, 30, 32, 39, 40, 43, 48. § 6.3: Ex. 1, 2, 31, 34.
8	Fri, Mar 2	§ 7.1: Ex. 1, 4, 8, 15, 38, 53. § 7.2: Ex. 5, 9, 10, 22, 33, 38.
9	Fri, Mar 9	§ 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 16	§ 8.1: Ex. 5, 8, 25, 42. § 8.2: Ex. 16, 29, 64, 66. § 8.3: Ex. 1, 10, 12, 14.
Final	Sat, Mar 17	N/A