Math 1B03
Linear Algebra I
Fall 2009

Important announcement: review session to be held Fri. 18 Dec. 4:30–6:30 PM in BSB 119.

This is the homepage for Math 1B03, which meets every Tuesday, Wednesday, and Friday in MDCL 1309 from 9:30 to 10:20 AM. My office hours this semester are:

Wednesdays 11:30 AM to 1:00 PM
Thursdays 10:30 AM to 12:00 noon
or by appointment

(held in my office, HH 407).

The tutorial section for this class is led by Olga Krylova and meets on Thursdays in HH 109 from 1:30 to 2:20 PM. The first tutorial section will meet on September 24. Olga's office hours are held in the Math Help Center (HH 104) at the following times:

Tuesdays 4:30 to 5:30 PM
Thursdays 2:30 to 5:30 PM

(Note: you can go to the Math Help Center at other times for help; click the link for hours.)

The official course outline can be downloaded here. Please read this carefully in order to avoid confusion about course policies.

Here is a schedule of lectures and other important dates.

Exam-related information:

Exams, solutions, and grading scales will be posted here as they become available.

Please remember to bring your own paper to the exams.
Exam 1 will be on Monday, October 5 from 6:30 to 8:30 PM in MDCL 1102 (last name A–K) and 1105 (last name L–Z).
The first exam and its solutions. (The standard grading scale (see here) will be used for this exam.)
Exam 2 will be on Monday, November 9 from 6:30 to 8:30 PM in MDCL 1102 (last name A–K) and 1105 (last name L–Z).
The second exam, its solutions, and the grading scale.
The final exam will be on Monday, December 21 from 4:00 to 7:00 PM in IWC 1(1–4).
Exam review: Friday, December 18 from 4:30 to 6:30 PM in BSB 119.

Graded homework (WeBWorK):

Graded homework assignments will be managed via the WeBWorK system. By default your login is your MAC ID and your password is your 6-digit student ID number (remove the leading 0). You can (and should) change your password after you log in for the first time. If have trouble logging in please let me know as soon as possible.

Suggested additional problems:

These problems from the course textbook will not be collected or graded and are intended to provide extra practice.

   1.1 Introduction to Systems of Linear Equations, 1, 3, 5, 7, 9, 11
   1.2 Gaussian Elimination, 1, 3, 5–13, 17, 19, 23, 27
   1.3 Matrices and Matrix Operations, 1, 3, 5, 7, 9(a), 11, 13, 15, 19, 23, 25
   1.4 Inverses; Rules of Matrix Arithmetic, 1, 3, 4, 5, 7, 9, 11, 13, 15, 16, 17, 21, 24, 27, 31, 35
   1.5 Elementary Matrices and a Method for Finding A^–1, 1, 2, 3, 5–8, 10, 13, 14, 18, 23
   1.6 Further Results on Systems of Equations and Invertibility, 1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 22, 23, 25, 27, 29
   1.7 Diagonal, Triangular, and Symmetric Matrices, 1–5, 7, 11, 15, 17, 18, 22
   2.1 Determinants by Cofactor Expansion, 1–5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27
   2.2 Evaluating Determinants by Row Reduction, 1, 3, 5, 7, 9, 12, 14, 16
   2.3 Properties of the Determinant Function, 1, 2, 3, 5, 7, 9, 11, 14, 15, 16, 18, 21, 22
   3.1 Introduction to Vectors (Geometric), 2, 3(a,c,e,g), 5, 6, 7, 9, 11, 13, 15, 19, 21
   3.2 Norm of a Vector; Vector Arithmetic, 1(a,c,e), 2(a,c,e), 3, 5, 7, 9, 11, 13, 15, 17
   3.3 Dot Product; Projections, 1, 3, 4, 5, 7, 9, 11, 13, 15, 16, 17, 19, 21, 25, 27, 28, 29, 31
   3.4 Cross Product, 1-5, 7, 8, 9, 10, 13, 15, 17, 18, 19, 21, 23, 29, 36, 37, 38
   3.5 Lines and Planes in 3-Space, 1, 2(a,c), 3–15, 17, 18, 22, 24, 31, 35, 37, 39, 41, 52
   10.1 Complex Numbers, 1, 3, 5, 9, 11, 13, 15, 17, 21, 22, 23, 24, 25, 27, 30
   10.2 Division of Complex Numbers, 1, 3, 4, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 24, 27, 35, 42
   10.3 Polar Form of a Complex Number, 1–7, 9, 11, 13, 14, 15, 18, 20, 21
   4.1 Euclidean n-Space, 1(a,c,e),2, 3, 4, 5, 6(a,c,e), 7, 9, 11, 13, 15, 16, 17, 19, 21, 23, 25, 37
   4.2 Linear Transformations from Rⁿ to R^m, 1, 2, 3, 5, 7, 9, 11, 12, 13, 15, 17, 19, 21, 22, 23, 25, 26, 34, 35
   4.3 Properties of Linear Transformations from Rⁿ to R^m, 1, 2, 3, 5, 7, 9, 11, 13, 15, 19, 21, 24, 25, 26, 27
   4.4 Linear Transformations and Polynomials, 1, 3, 4, 5, 7, 9, 11, 13, 18, 17, 18, 19
   5.1 Real Vector Spaces, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 27, 33
   5.2 Subspaces, 1, 3, 5, 7, 9, 11, 12, 13, 15, 17, 19, 21, 23, 25
   5.3 Linear Independence, 1, 3, 5, 7, 9, 11, 13, 15, 17, 18, 19, 21
   5.4 Basis and Dimension, 1, 2, 3, 4, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 35
   5.5 Row Space, Column Space, and Nullspace, 1, 2, 3(a,c,e), 4, 5, 6(a,c,e), 7(a,c,e), 8(a,c,e), 9(a,c,e), 10(a,c,e), 13, 15
   5.6 Rank and Nullity, 1, 2, 3, 5, 6, 7, 8, 9,11, 13, 15, 17, 19
   7.1 Eigenvalues and Eigenvectors, 1–9, 11, 12, 13, 15, 16, 19–25
   7.2 Diagonalization, 1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21–25

Math 1B03 Linear Algebra I Fall 2009

Math 1B03
Linear Algebra I
Fall 2009