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

 Week 1 (1/41/8)
 [1/4 Preliminary study list deadline]
 [1/4 First lecture; 1/5 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 (1/111/15)
L5: Systems of Linear Equations
L6: Matrices, Rref
L7: MatrixVector Products
L8: Null Space
L9: Column Space

 Week 3 (1/181/22)
 [1/18 MLK day]
 [1/22 Final study list deadline]
L10: Subspaces of R^{n}
L11: Basis (see also coordinates, L21 p1457)
L12: Dimension

 Week 4 (1/251/29)
 [1/28 Exam 1, approx 7:30pm; covers thru end of Week 3 topics listed above]
C2.1: Multivariable Functions, Graphs, Level Sets
L1314: Linear Transformations and Examples
(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

 Week 5 (2/12/5)
C2.3; C4.1 (p244251 only): Partial Derivatives, Differentiability; Applications  Tangent Planes to Graphs; FirstOrder (Linear) Approximation and Differentials [continued]
C2.4: HigherOrder Derivatives; Interpretation of Contour Maps
L15: Composition and Matrix Multiplication
C2.5: Chain Rule

 Week 6 (2/82/12)
C2.6: Directional Derivatives and Gradient; Application  Tangent Planes to Implicit Surfaces
L16: Inverses; Applications  Linear Systems, Coordinates (see also L21, p1459 only)
L17: Determinants

 Week 7 (2/152/19)
 [2/15 President's day]
 [2/18 Exam 2, approx 7:30pm; 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

 Week 8 (2/222/26)
 [2/26 Course withdrawal and change of grading basis deadline]
L22: Orthonormal Bases; Applications  Projections, Coordinates (see also L21, p1459 only)
C4.1 (p255 only): Hessian matrix
C4.2: Extrema of Functions

 Week 9 (2/283/4)
C4.3 (p278286): Lagrange Multipliers
C4.4 (p2937 only): Applications of Extrema  Least Squares (Constrained & Unconstrained) Revisited

 Week 10 (3/73/11)
 [3/10 Last section; 3/11 last lecture]
 [3/14 Final Exam, 710pm; comprehensive but more heavily emphasizes topics since Exam 2]
Applications of Extrema in the Natural and Social Sciences; Definiteness of Quadratic Forms, Eigenvalues; Second Derivative Test Revisited

