Mathematics 110
Spring, 2005

May 17, 2005 January 31, 2005 February 7, 2005 February 7, 2005 February 14, 2005 February 28, 2005 March 7, 2005 March 14, 2005 March 28, 2005 March 28, 2005 April 11, 2005 April 11, 2005 April 18, 2005 April 25, 2005 April 25, 2005 May 2, 2005 May 2, 2005 May 5, 2005 May 9, 2005 May 9, 2005

Professor Kenneth A. Ribet email: Telephone: 510 642 0648 Fax: 510 642 8204 Office hours (885 Evans Hall) Online discussion group Enrollment information CourseWeb Math 110 page

Lectures

Discussion Sections

For GSI office hours, see the CourseWeb Math 110 page

Syllabus

Matrices, vector spaces, linear transformations, inner products, determinants. Eigenvectors. QR factorization. Quadratic forms and Rayleigh's principle. Jordan canonical form, applications. Linear functionals.

Examinations

• First midterm exam, February 22, 2005. This exam will cover material through dual spaces. You can bring one sheet of notes (2-sided, 8 1/2 x 11 inches) to the exam. [Possible solutions, written by Ribet.]
• Last midterm exam, April 5, 2005; possible solutions, written by Ribet.
• Final examination, May 18, 2005, 5-8 PM in 100 Lewis Hall; possible solutions, written by Ribet.

Grading

Textbook

Recommended Reading: There are quite a few good linear algebra books. You can use the math department course archives to find the textbooks that have been used in Math 110 for the last two years. Whenever you feel stuck when reading our text, consult alternative treatments. Reading several discussions of one topic is often illuminating.

A book that we have used frequently in the past is Linear Algebra Done Right by Sheldon Axler . This book was based partly on ideas from Axler's article Down with Determinants!, which you might enjoy reading.

Homework

1. Assignment due January 26:
   • § 1.2:  1, 7, 9, 12, 15, 16, 18
   • § 1.3:  1, 2h, 5, 8, 9, 11, 14, 19, 23, 25
   • § 1.4:  1
   • § 1.5:  1
2. Assignment due Groundhog Day, February 2:
   • § 1.5:  2c, 2d, 7, 8, 10, 14
   • § 1.6:  1, 4, 8, 13, 17, 22
   • § 2.1:  1, 9, 11
3. Assignment due February 9:
   • § 2.1:  13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 26
   • § 2.2:  1, 3, 4, 8
4. Assignment due February 16:
   • § 2.2:  10, 12, 13, 15, 16
   • § 2.3:  1, 3a, 9, 12, 13
   • § 2.4:  1, 3, 9, 14
   Inevitable solutions, written by Ribet.
5. Assignment due February 24:
   • § 2.5:  1, 3ac, 5, 6ab, 7
   • § 2.6:  1, 2, 3a, 4, 7
6. Assignment due March 2:
   • § 2.6:  13, 14, 15, 16
   • § 3.1:  1, 2, 3c, 9, 12
   • § 3.2:  1, 2bc, 4a
7. Assignment due March 9:
   • § 3.2:  14, 17, 18, 19
   • § 3.3:  1, 2(a,d), 3(a,d), 4b, 7d, 10
   • § 4.1:  10, 11
   • § 4.2:  1
8. Assignment due March 16:
   • § 4.2:  9, 20, 22, 26
   • § 4.3:  7, 11, 12, 13, 15, 17, 20, 21
   • § 5.1:  1
9. Assignment due March 30:
   • § 5.1:  3bd, 4g, 8b, 9, 15a, 16a, 17, 21
   • § 5.2:  1, 2bc, 3a, 7, 9a, 10, 11
   • § 5.4:  1, 6ab, 13-14
10. Assignment due April 13:
    • § 6.1:  1, 3, 5, 9, 10, 11, 15a
    • § 6.2:  1, 2(d and g), 4, 6, 10, 12
    • § 6.3:  1, 2c, 3c, 7
11. Assignment due April 20:
    • § 5.4:  23, 24
    • § 6.1:  19, 20
    • § 6.2:  13
    • § 6.3:  9, 10, 12, 14
    • § 6.4:  1, 2(c, d), 7, 8
12. Assignment due April 27:
    • § 6.4:  10
    • § 6.5:  1 (no surprise), 2(a,c), 4, 5b, 7 (in the case of a complex inner product space), 8, 9, 11, 15, 16, 29 (except parts c and e)
13. Assignment due May 5 in class:
    • § 6.6:  1, 3 (for the matrices a and c only), 5, 6, 7
    • § 6.7:  1, 3 (a,c), 6 (b, d)
    • § 6.8:  1, 4, 5a, 7, 17b

Online Discussion

• Math 250A (Fall, 2001),
• Math H113 (Spring, 2003),
• Math H110 (Fall, 2003),
• Math 114 (Spring, 2004).
• Math 250 (Fall, 2004).

	Math110
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Reference Calendar