Below is the schedule of textbook sections accompanied by sets of highly recommended practice problems from Linear Algebra A Morden Introduction, 5th edition by David Poole. Relevant problems from the 4th edition of the text are also listed for your convenience; See sections 3.6 and 5.1. Exam dates are indicated on the schedule, including the departmental final exam date and time.
August 25:
Introduction.
1.1. The Geometry and Algebra of Vectors.
1.1 Problems 1--28.
August
27:
1.1.(cont.)
The Geometry and Algebra of Vectors
1.1 Problems 1--28.
August 29:
1.2. Length and Angle.
The Dot Product. Projections.
1.2 Problems 1--52.
September 3:
1.2.(cont.)
Length and Angle. The Dot Product. Projections.
1.3. Lines and Planes.
1.2 Problems 61--67.
1.3 Problems 1--15.
September
5:
1.3. Lines and Planes.
1.3 Problems 18--30,
35--38.
September
8:
2.1. Introduction to
Systems of Linear Equations.
2.1 Problems 1--38.
September
10:
2.2. Direct Methods for
Solving Linear Systems.
2.2 Problems 1--18.
September
12:
2.2.(cont.)
Direct Methods for Solving Linear Systems.
2.2 Problems 23--46.
September
15:
2.3. Spanning Sets and
Linear Independence.
2.3 Problems 1--42.
September
17:
2.3.(cont.)
Spanning Sets and Linear Independence.
2.3 Problems 1--42.
September
19:
2.3.(cont.)
Spanning Sets and Linear Independence.
2.3 Problems 1--42.
September
22:
Chapters 1 and 2 Review.
Applications.
September
24:
3.1. Matrix Operations.
3.1 Problems 1--22,
31--36
September
26:
3.2. Matrix Algebra.
3.2 Problems 1--28.
September
29:
3.3. The Inverse of a
Matrix. Elementary Matrices. The Fundamental Theorem of Invertible Matrices.
3.3 Problems 1--23.
October
1:
3.3. (cont.) The Inverse
of a Matrix. Elementary Matrices. The Fundamental Theorem of Invertible
Matrices.
3.3 Problems 24--40.
October
3:
3.3.(cont.)
The Inverse of a Matrix. Elementary Matrices. The Fundamental Theorem of
Invertible Matrices.
3.3 Problems 48--59.
October
6:
Review.
October
8:
Midterm Exam 1
October
13:
3.5. Subspaces, Basis,
Dimension, Rank. Coordinates.
3.5 Problems 1--48, 51,
52.
October
15:
3.5.(cont.)
Subspaces, Basis, Dimension, Rank. Coordinates.
3.5 Problems 1--48, 51,
52.
October
17:
3.5.(cont.)
Subspaces, Basis, Dimension, Rank. Coordinates.
3.5 Problems 1--48, 51,
52.
October 20:
3.6. Introduction to
Linear Transformations.
3.6 (ed 4) Problems
1--25, 29--39.
3.6 (ed 5) Problems 1--25, 29--35, 36--41, 42--45.
October 22:
3.6.(cont.)
Introduction to Linear Transformations.
3.6 (ed 4) Problems
1--25, 29--39.
3.6 (ed 5) Problems 1--25, 29--35, 36--41, 42--45.
October
24:
Chapter 3 Review.
Applications.
October
27:
4.1. Introduction to Eigenvalues
and Eigenvectors.
4.1 Problems 1--18.
October
29:
4.2. Determinants. The
Laplace Expansion Theorem.
4.2 Problems 1--52.
October
31:
4.2.(cont.)
Determinants. Cramer's Rule. Adjoint.
4.2 Problems 57--65.
November
3:
4.3. Eigenvalues and
Eigenvectors of n x n Matrices
4.3 Problems 1--18.
November
5:
4.3. (cont.) Eigenvalues
and Eigenvectors of n x n Matrices
4.3 Problems 1--18.
November
7:
Review
November
10:
Midterm Exam 2
November
12:
4.4. Similarity and
Diagonalization.
4.4 Problems 1--41.
November
14:
4.4.(cont.)
Similarity and Diagonalization.
4.4 Problems 1--41.
November 17:
5.1. Orthogonality.
Orthogonal Matrices.
5.1 (ed 4) Problems
1--21.
5.1 (ed 5) Problems 1--10, 11, 12, 13--23.
November
19:
5.2. Orthogonal
Complements and Orthogonal Projections. The Orthogonal Decomposition.
5.2 Problems 1--22.
November
21:
5.2. (cont.) Orthogonal
Complements and Orthogonal Projections. The Orthogonal Decomposition.
5.2 Problems 1--22.
December
1:
5.3. The Gram-Schmidt
Process.
5.3 Problems 1--14.
December
3:
5.4. Orthogonal
Diagonalization of Symmetric Matrices.
5.4 Problems 1--12.
December
5:
Review
December
9:
Final exam for all day sections
8:00-9:50AM Room: TBA