January 10:
1.1.(cont.) The Geometry and Algebra of Vectors
1.1 Problems 1--28
January 12:
1.2. Length and Angle. The Dot Product. Projections.
1.2 Problems 1--52.
January 17:
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.
January 19:
1.3. Lines and Planes.
1.3 Problems 18--30, 35--38.
January 22:
2.1. Introduction to Systems of Linear Equations.
2.1 Problems 1--38.
January 24:
2.2. Direct Methods for Solving Linear Systems.
2.2 Problems 1--18.
January 26:
2.2.(cont.) Direct Methods for Solving Linear Systems.
2.2 Problems 23--46.
January 29:
2.3. Spanning Sets and Linear Independence.
2.3 Problems 1--42.
January 31:
2.3.(cont.) Spanning Sets and Linear Independence.
2.3 Problems 1--42.
February 2:
2.3.(cont.) Spanning Sets and Linear Independence.
2.3 Problems 1--42.
February 5:
Chapters 1 and 2 Review. Applications.
February 7:
3.1. Matrix Operations.
3.1 Problems 1--22, 31--36
February 9:
3.2. Matrix Algebra.
3.2 Problems 1--28.
February 12:
3.3. The Inverse of a Matrix. Elementary Matrices. The Fundamental Theorem
of Invertible Matrices.
3.3 Problems 1--23.
February 14:
3.3. (cont.) The Inverse of a Matrix. Elementary Matrices. The Fundamental
Theorem of Invertible Matrices.
3.3 Problems 24--40.
February 16:
3.3.(cont.) The Inverse of a Matrix. Elementary Matrices. The Fundamental
Theorem of Invertible Matrices.
3.3 Problems 48--59.
February 19:
Review.
February 21:
Midterm Exam 1
February 23:
3.5. Subspaces, Basis, Dimension, Rank. Coordinates.
3.5 Problems 1--48, 51, 52.
February 26:
3.5.(cont.) Subspaces, Basis, Dimension, Rank. Coordinates.
3.5 Problems 1--48, 51, 52.
February 28:
3.5.(cont.) Subspaces, Basis, Dimension, Rank. Coordinates.
3.5 Problems 1--48, 51, 52.
March 1:
3.6. Introduction to Linear Transformations.
3.6 Problems 1--25, 29--39.
March 4:
3.6.(cont.) Introduction to Linear Transformations.
3.6 Problems 1--25, 29--39.
March 6:
Chapter 3 Review. Applications.
March 8:
4.1. Introduction to Eigenvalues and Eigenvectors.
4.1 Problems 1--18.
March 18:
4.2. Determinants. The Laplace Expansion Theorem.
4.2 Problems 1--52.
March 20:
4.2.(cont.) Determinants. Cramer's Rule. Adjoint.
4.2 Problems 57--65.
March 22:
4.3. Eigenvalues and Eigenvectors of n x n Matrices
4.3 Problems 1--18.
March 25:
4.3. (cont.) Eigenvalues and Eigenvectors of n x n Matrices
4.3 Problems 1--18.
March 27:
Review
March 29:
Midterm Exam 2
April 1:
4.4. Similarity and Diagonalization.
4.4 Problems 1--41.
April 3:
4.4.(cont.) Similarity and Diagonalization.
4.4 Problems 1--41.
April 5:
5.1. Orthogonality. Orthogonal Matrices.
5.1 Problems 1--21.
April 8:
5.2. Orthogonal Complements and Orthogonal Projections. The Orthogonal
Decomposition.
5.2 Problems 1--22.
April 10:
5.2. (cont.) Orthogonal Complements and Orthogonal Projections. The
Orthogonal Decomposition.
5.2 Problems 1--22.
April 12:
5.3. The Gram-Schmidt Process.
5.3 Problems 1--14.
April 15:
5.4. Orthogonal Diagonalization of Symmetric Matrices.
5.4 Problems 1--12.
April 17:
5.4. (cont.) Orthogonal Diagonalization of Symmetric Matrices.
5.4 Problems 1--12.
April 19:
Review
April 24:
Final exam for all day sections
10:00-11:50 AM Room: TBA