This schedule is very tentative, and it will be adjusted as necessary.

 Week 1 (3/304/3)
 [3/30 Preliminary study list deadline]
 [3/30 First lecture; 3/31 first section]
LA 1: Vectors in R^{n}
LA 2: Linear Combinations, Span
LA 3: Linear Independence
LA 4: Dot Product, Cross Product (see also projections, p923)

 Week 2 (4/64/10)
LA 5: Systems of Linear Equations
LA 6: Matrices, Rref
LA 7: MatrixVector Products (see also matrix multiplication, p99101)
LA 8: Null Space
LA 9: Column Space

 Week 3 (4/134/17)
 [4/17 Final study list deadline]
LA 10: Subspaces of R^{n}
LA 11: Basis (see also coordinates, p1457)
LA 12: Dimension
LA 1314: Linear Transformations and Examples

 Week 4 (4/204/24)
 [4/23 Exam 1, 7:309:30pm; roughly covers thru end of Week 3 topics listed above]
DVC 1: Multivariable Functions, Graphs, Level Sets
DVC 4: Parametric Curves
DVC 7: Partial and Higher Order Derivatives; Differentiability and Total Derivative

 Week 5 (4/275/1)
DVC 10.3; 11.1: Applications of Differentiation  Tangent Planes to Graphs; Linearization; Interpretation of Contour Maps
LA 15: Composition and Matrix Multiplication
DVC 8: Chain Rule

 Week 6 (5/45/8)
DVC 9; 10.2: Directional Derivatives and Gradient; Application  Tangent Planes to Implicit Surfaces
LA 16: Inverses
LA 17: Determinants
LA 21: Systems of Coordinates (p1459 only) (see also orthonormal basis, p162 only)

 Week 7 (5/115/15)
 [5/14 Exam 2, 7:309:30pm; roughly covers thru end of Week 6 topics listed above]
 LA 23: Eigenvectors and Eigenvalues
 LA 25: Symmetric Matrices

 Reference for matrix transpose: p1245
 Reference for orthonormal basis: p162
 LA 26: Quadratic Forms

 Week 8 (5/185/22)
 [5/22 Course withdrawal and change of grading basis deadline]
DVC 11.2: Quadratic Approximation
DVC 12: Extrema of Multivariable Functions (I)
DVC 13: Extrema of Multivariable Functions (II)

 Week 9 (5/255/29)
 [5/25 Memorial Day, no classes]
DVC 14: Lagrange Multipliers

 Week 10 (6/16/5)
 [6/2 Last section; 6/3 last lecture]
 [6/5 Final Exam, 710pm; comprehensive but more heavily emphasizes topics since Exam 2]
Google Lecture (optional) [notes]

