12/12/18: Last day of instruction. Review for the Final: discussion of
solutions to the Sample Final. [Text: Sections 1.1-1.6, 1.8-1.9,
2.1-2.6, 3.1-3.5 through p. 171, 4.1-4.2 (through p. 196), 4.3
(through Example 4.25 on p. 206), 4.4, 5.2, 6.1-6.2 (ignoring
batteries and power within Electrical-Mechanical Correspondence),
7.1-7.2, 8.2 (through p. 417), 8.3, 8.5 (through p. 438), 8.6
(pp. 447-451)]
12/10/18: Review for the Final: discussion of solutions to the actual
Midterm II and Sample Final. [Text: Sections 1.1-1.6, 1.8-1.9,
2.1-2.6, 3.1-3.5 through p. 171, 4.1-4.2 (through p. 196), 4.3
(through Example 4.25 on p. 206), 4.4, 5.2, 6.1-6.2 (ignoring
batteries and power within Electrical-Mechanical Correspondence),
7.1-7.2, 8.2 (through p. 417), 8.3, 8.5 (through p. 438), 8.6
(pp. 447-451)]
12/7/18: Midterm II. [Text: Sections 4.1-4.2 (through p. 196),
4.3 (through Example 4.25 on p. 206), 4.4, 5.2, 6.1-6.2 (ignoring
batteries and power within Electrical-Mechanical Correspondence),
7.1-7.2, 8.2 (through p. 417), 8.3, 8.5 (through p. 438), 8.6
(pp. 447-451)]
12/5/18: Solving a problem on finding the Jordan canonical form and a
Jordan basis. Review for Midterm II: discussion of the sample
test. [Text: Sections 4.1-4.2 (through p. 196), 4.3 (through Example
4.25 on p. 206), 4.4, 5.2, 6.1-6.2 (ignoring batteries and power
within Electrical-Mechanical Correspondence), 7.1-7.2, 8.2 (through
p. 417), 8.3, 8.5 (through p. 438), 8.6 (pp. 447-451)]
12/3/18: The Jordan canonical form. [Text: Section 8.6 (pp. 447-451)]
11/30/18: Homework 9 is due at the beginnig of the class. Eigenvalues
of symmetric matrices. The spectral theorem. [Text: Section 8.5
(through p. 438)]
11/28/18: Complete eigenvalues and complete matrices. Relation to
diagonalization. [Text: Section 8.3]
11/26/18: Properties of eigenvalues. Eigenvector bases and
diagonalization. [Text: Sections 8.2 (pp. 415-417) and 8.3 (pp. 423
and 426)]
11/23/18: Thanksgiving Break. No classes. Have a great holiday!
11/21/18: Eigenvalues and eigenvectors. [Text: Section 8.2 (through
p. 414)]
11/19/18: Electrical networks. The electrical-mechanical
correspondence. [Text: Section 6.2 (ignoring batteries and power
within Electrical-Mechanical Correspondence)]
11/16/18: Homework 8 is due at the beginnig of the class. Energy
minimization principle. [Text: Section 6.1 (from p. 309)]
11/14/18: Springs and masses. [Text: Section 6.1 (through p. 308)]
11/12/18: Change of basis. [Text: Section 7.2 (starting from p. 365)]
11/9/18: Homework 7 is due at the beginnig of the class. I am out of
town and asked Professor Westerland to substitute for me. Linear
transformations. [Text: Section 7.2 (through p. 365)]
11/7/18: I am out of town and asked Professor Westerland to substitute
for me. The space of linear functions, the dual space, composition,
inverses. [Text: Section 7.1 (from p. 349)]
11/5/18: I am out of town and asked Professors Webb and Bashkirov to
substitute for me in Sections 40 and 50, respectively. Linear
functions. [Text: Section 7.1 (through p. 349)]
11/2/18: Homework 6 is due at the beginnig of the class. Orthogonality
of the fundamental matrix subspaces. The Fredholm
alternative. Minimization of quadratic functions. [Text: Sections 4.4
(pp. 221-226) and 5.2]
10/31/18: Orthogonal projections and othogonal subspaces. [Text:
Section 4.4 (through p. 221)]
10/29/18: Orthogonal matrices. The QR factorization. [Text: Section
4.3 (through Example 4.25 on p. 206)]
10/26/18: No homework due. The Gram-Schmidt process. [Text: Section
4.2 (through p. 196)]
10/24/18: Orthogonal and orthonormal bases. [Text: Section 4.1]
10/22/18: Actual Midterm I discussion.
10/19/18: Midterm I. [Text: Sections 1.1-1.6, 1.8-1.9, 2.1-2.6,
3.1-3.5 through p. 171]
10/17/18: Review for Midterm I: discussion of the sample test. [Text:
Sections 1.1-1.6, 1.8-1.9, 2.1-2.6, 3.1-3.5 through p. 171]
10/15/18: Gram matrices. Completing the square. [Text: Sections 3.4
from p. 161 and 3.5 through p. 171]
10/12/18: Homework is due at the beginning of the class. Positive
definite matrices. [Text: Section 3.4 through p. 161]
10/10/18: Norms: Unit vectors, equivalence of norms, matrix
norms. [Text: Section 3.3]
10/8/18: Inequalities. Norms. [Text: Sections 3.2-3.3 (through p. 147)]
10/5/18: Homework is due at the beginning of the class. Inner
products. [Text: Section 3.1]
10/3/18: Graphs. [Text: Section 2.6]
10/1/18: The fundamental matrix subspaces. [Text: Section 2.5]
9/28/18: Homework is due at the beginning of the class. Basis and
dimension. [Text: Section 2.4]
9/26/18: Spans and linear independence. [Text: Section 2.3]
9/24/18: Vector subspaces. [Text: Section 2.2]
9/21/18: Homework is due at the beginning of the class. Vector
spaces. [Text: Section 2.1]
9/19/18: Homogeneous linear systems. The determinant. [Text: Sections
1.8 (from p. 67)-1.9]
9/17/18: General linear systems: row echelon form, the rank of a
matrix. [Text: Section 1.8 (through p. 67)]
9/14/18: Homework is due at the beginning of the class. Matrix
inverses: application to solving linear systems, the LDV
factorization. Transposes and symmetric matrices. [Text: Sections 1.5
(from p. 40)-1.6]
9/12/18: Matrix inverses and Gauss-Jordan elimination. [Text: Section
1.5 (through p. 40)]
9/10/18: Pivoting and permutations: permutation matrices, the
permuted LU factorization. [Text: Section 1.4]
9/7/18: Gaussian elimination: regular case. Elementary matrices,
the LU factorization, forward and back substitution (study on
your own). [Text: Section 1.3]
9/5/18: Introduction. The syllabus is handed out. Reminders on linear
systems, Gaussian elimination, and
matrices. [Syllabus. Text
(Olver-Shakiban): Preface (pp. vii-x, xvi, xix); Sections
1.1-1.2. Students'
Solution Manual: Preface]
Last modified: (2018-12-14 21:41:56 CST)