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

 Week 1 (9/219/25)
 [9/21 Preliminary study list deadline]
 [9/21 First lecture; 9/24 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 (9/2810/2)
L5: Systems of Linear Equations
L6: Matrices, Rref
L7: MatrixVector Products
L8: Null Space
L9: Column Space

 Week 3 (10/510/9)
 [10/9 Final study list deadline]
L10: Subspaces of R^{n}
L11: Basis (see also coordinates, L21 p1457)
L12: Dimension

 Week 4 (10/1210/16)
 [10/13 Exam 1, approx 7:30pm; roughly covers thru end of Week 3 topics listed above]
L1314: Linear Transformations and Examples
C2.1: Multivariable Functions, Graphs, Level Sets
Review of SingleVariable Calculus

 Week 5 (10/1910/23)
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
L15: Composition and Matrix Multiplication

 Week 6 (10/2610/30)
C2.5: Chain Rule
C2.6: Directional Derivatives and Gradient; Application  Tangent Planes to Implicit Surfaces
L16: Inverses; Applications to Linear Systems

 Week 7 (11/211/6)
 [11/5 Exam 2, approx 7:30pm; roughly covers thru end of Week 6 topics listed above]
L17: Determinants
L1819: Transposes, Row Spaces, Orthogonal Complements; Application  Minimum Magnitude Solution (Constrained Least Squares)
L20: Orthogonal Projections; Application  Least Squares Approximation

 Week 8 (11/911/13)
 [11/13 Course withdrawal and change of grading basis deadline]
L22: Orthonormal Bases; Applications  Projections, Coordinates (see also L21, p1457 only)
C4.1 (p2525 only): Hessian matrix
C4.2: Extrema of Functions

 Week 9 (11/1611/20)
C4.3 (p278286): Lagrange Multipliers
C4.4: Applications of Extrema in the Natural and Social Sciences; Least Squares (Constrained & Unconstrained) Revisited; Definiteness of Quadratic Forms, Eigenvalues

 Weeks 1011 (11/3012/7)
 [12/3 Last section; 12/4 last lecture]
 [12/7 Final Exam, 710pm]
TBA

