August 28:
1.1.(cont.) The Geometry and Algebra of Vectors
1.1 Problems 1--28
August 30:
1.2. Length and Angle. The Dot Product. Projections.
1.2 Problems 1--52.
September 4:
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 6:
1.3. Lines and Planes.
1.3 Problems 18--30, 35--38.
September 9:
2.1. Introduction to Systems of Linear Equations.
2.1 Problems 1--38.
September 11:
2.2. Direct Methods for Solving Linear Systems.
2.2 Problems 1--18.
September 13:
2.2.(cont.) Direct Methods for Solving Linear Systems.
2.2 Problems 23--46.
September 16:
2.3. Spanning Sets and Linear Independence.
2.3 Problems 1--42.
September 18:
2.3.(cont.) Spanning Sets and Linear Independence.
2.3 Problems 1--42.
September 20:
2.3.(cont.) Spanning Sets and Linear Independence.
2.3 Problems 1--42.
September 23:
Chapters 1 and 2 Review. Applications.
September 25:
3.1. Matrix Operations.
3.1 Problems 1--22, 31--36
September 27:
3.2. Matrix Algebra.
3.2 Problems 1--28.
September 30:
3.3. The Inverse of a Matrix. Elementary Matrices. The Fundamental Theorem
of Invertible Matrices.
3.3 Problems 1--23.
October 2:
3.3. (cont.) The Inverse of a Matrix. Elementary Matrices. The Fundamental
Theorem of Invertible Matrices.
3.3 Problems 24--40.
October 4:
3.3.(cont.) The Inverse of a Matrix. Elementary Matrices. The Fundamental
Theorem of Invertible Matrices.
3.3 Problems 48--59.
October 7:
Review.
October 9:
Midterm Exam 1
October 11:
3.5. Subspaces, Basis, Dimension, Rank. Coordinates.
3.5 Problems 1--48, 51, 52.
October 16:
3.5.(cont.) Subspaces, Basis, Dimension, Rank. Coordinates.
3.5 Problems 1--48, 51, 52.
October 18:
3.5.(cont.) Subspaces, Basis, Dimension, Rank. Coordinates.
3.5 Problems 1--48, 51, 52.
October 21:
3.6. Introduction to Linear Transformations.
3.6 Problems 1--25, 29--39.
October 23:
3.6.(cont.) Introduction to Linear Transformations.
3.6 Problems 1--25, 29--39.
October 25:
Chapter 3 Review. Applications.
October 28:
4.1. Introduction to Eigenvalues and Eigenvectors.
4.1 Problems 1--18.
October 30:
4.2. Determinants. The Laplace Expansion Theorem.
4.2 Problems 1--52.
November 1:
4.2.(cont.) Determinants. Cramer's Rule. Adjoint.
4.2 Problems 57--65.
November 4:
4.3. Eigenvalues and Eigenvectors of n x n Matrices
4.3 Problems 1--18.
November 6:
4.3. (cont.) Eigenvalues and Eigenvectors of n x n Matrices
4.3 Problems 1--18.
November 8:
Review
November 11:
Midterm Exam 2
November 13:
4.4. Similarity and Diagonalization.
4.4 Problems 1--41.
November 15:
4.4.(cont.) Similarity and Diagonalization.
4.4 Problems 1--41.
November 18:
5.1. Orthogonality. Orthogonal Matrices.
5.1 Problems 1--21.
November 20:
5.2. Orthogonal Complements and Orthogonal Projections. The Orthogonal
Decomposition.
5.2 Problems 1--22.
November 22:
5.2. (cont.) Orthogonal Complements and Orthogonal Projections. The
Orthogonal Decomposition.
5.2 Problems 1--22.
December 2:
5.3. The Gram-Schmidt Process.
5.3 Problems 1--14.
December 4:
5.4. Orthogonal Diagonalization of Symmetric Matrices.
5.4 Problems 1--12.
December 6:
5.4. (cont.) Orthogonal Diagonalization of Symmetric Matrices.
5.4 Problems 1--12.
December 9:
Review
December 12:
Final exam for all day sections
8:00--9:50 AM