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

 Week 1 (3/284/1)
 [3/28 Preliminary study list deadline]
 [3/28 First lecture; 3/29 first section]
L1: Vectors in R^{n}
L2: Linear Combinations, Span
L3: Linear Independence
L4: Dot Product, Cross Product (see also projections, L14 p923)

 Week 2 (4/44/8)
L5: Systems of Linear Equations
L6: Matrices, Rref
L7: MatrixVector Products
L8: Null Space
L9: Column Space

 Week 3 (4/114/15)
 [4/15 Final study list deadline]
L10: Subspaces of R^{n}
L11: Basis (see also coordinates, L21 p1457)
L12: Dimension
L1314 (thru p94): Linear Transformations and Examples

 Week 4 (4/184/22)
 [4/21 Exam 1, 7:309:30pm, Hewlett 200; covers thru end of Week 3 topics listed above]
C2.1: Multivariable Functions: Graphs, Level Sets
(As time permits) brief review of SingleVariable Calculus
C2.3; C4.1 (p244251 only): Partial Derivatives, Differentiability; Applications  Tangent Planes to Graphs; FirstOrder (Linear) Approximation and Differentials
C2.4: HigherOrder Derivatives; Interpretation of Contour Maps

 Week 5 (4/254/29)
L15: Composition and Matrix Multiplication
C2.5: Chain Rule
C2.6 (p15868 only): Directional Derivatives and Gradient; Application  Tangent Planes to Implicit Surfaces

 Week 6 (5/25/6)
L16: Inverses; Applications  Linear Systems, Coordinates (see also L21, p1459 only)
L17: Determinants
C4.1 (p25255 only): Quadratic approximation (seconddegree Taylor polynomial), Hessian matrix; Application  Concavity in a given direction; Quadratic forms, Definiteness

 Week 7 (5/95/13)
 [5/12 Exam 2, 7:309:30pm; roughly covers thru end of Week 6 topics listed above]
L1819: Transposes, Row Spaces, Orthogonal Complements; Application  Minimum Magnitude Solution (Constrained Least Squares)
L20: Orthogonal Projections; Application  Least Squares Approximation
L22: Orthonormal Bases; Applications  Projections, Coordinates (see also L21, p1459 only)

 Week 8 (5/165/20)
 [5/20 Course withdrawal and change of grading basis deadline]
C4.2 (p26365 & 27074 only): Extrema of Functions
C4.3 (p278286): Lagrange Multipliers
Applications of Extrema  Definiteness of Quadratic Forms, Eigenvalues; Second Derivative Test  Handout on eigenvalues, eigenvectors and definiteness.

 Week 9 (5/235/27)
C4.3 (p278286): Lagrange Multipliers [continued]
C4.4: Applications of Extrema  Least Squares (Constrained & Unconstrained) Revisited; Applications in the Natural and Social Sciences
TBA

 Week 10 (5/306/3)
 [5/30 Memorial day]
 [5/31 Last section; 6/1 last lecture]
 [6/3 Final Exam, 710pm; comprehensive but more heavily emphasizes topics since Exam 2]
TBA

