This schedule is tentative, and may be adjusted as necessary.

 Week 1 (6/23627)
Monday: Vectors in R^{n} (LA 1)
Tuesday: Linear Combinations, Span, Linear Independence (LA 2, 3)
Wednesday: Systems of Linear Equations, Matrices (LA 5 mostly)
Thursday: RREF (LA 6)
Friday: Dot product, cross product (LA 4). Deadline to tell me if you will be away on the day of the midterm (as opposed to can make the same day at a different time).


 Week 2 (6/307/3)
Monday: MatrixVector products, Null Space (LA 7, 8)
Tuesday: Column Space, Rank (LA 9)
Wednesday: Subspaces of R^{n} (LA 10)
Thursday: Basis, Dimension (LA 11, 12)


 Week 3 (7/77/11)
Monday: Linear Transformations (LA 13, 14)
Tuesday: Matrix multiplication and Examples (LA 14, 15)
Wednesday: Composition (LA 15)
Thursday: Inverses (LA 16)
Friday: Determinants (LA 17) Deadline to give me informal notice of access needs for midterm (and final).


 Week 4 (7/147/18)
Monday: Systems of coordinates (change of basis) (LA 21)
Tuesday: Eigenvectors and Eigenvalues (LA 23)
Wednesday: Trace, determinant, examples (no specific chapter) Deadline to notify me of midterm time conflicts, and give OAE letters.
Thursday: Symmetric matrices (LA 25)
Friday: Quadratic forms (LA 26)
We will skip chapter 22 as you can see but you may need a little information from it:
Reference for matrix transpose: p1245
Reference for orthonormal basis: p162
Reference for orthogonal matrix: p162,
Reference for orthonormal basis: p1645


 Week 5 (7/217/25)
 Monday: Multivariable functions, Graphs, Level Sets
 Tuesday: Level sets of quadratic forms
 Wednesday: Limits and continuity, Squeeze Theorem.
79pm Midterm on the material of weeks 14.
 Thursday: Parametric Curves, and how to make them
 Friday: Partial and higherorder derivatives; total derivative


 Week 6 (7/288/1)
 Monday: Differentiability and nitpicking
 Tuesday: Linearization and Quadratic approximation
 Wednesday: Chain Rule, tree diagrams
 Thursday: Directional derivatives and gradient
 Friday: Gradient, graphs, level sets bigger picture
Deadline to give informal notice of access needs for final exam.


 Week 7 (8/48/8)
 Monday: Conceptual review of surfaces, planes, normal vectors, gradient
 Tuesday: Tangent planes to implicit surfaces, more gradient uses
 Wednesday: Extrema of Multivariable Functions (DVC 12)
 Thursday: Examples and discussion
 Friday: Extrema of Multivariable Functions (DVC 13)


 Week 8 (8/118/16)
 [8/16 Final exam, 12:15pm3:15pm]
 Monday: Lagrange Multipliers (DVC 14)
 Tuesday: More on Lagrange multipliers and local extrema
 Wednesday: (to be determined)
Last day of class
 Saturday: FINAL EXAM

