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

 Week 1 (4/34/7)
 [4/3 Preliminary study list deadline]
 [4/3 First lecture; 4/4 first section]
L1: Vectors in R^{n}
L2: Linear Combinations, Span
L3: Linear Independence
L4: Dot Product: Angle, Orthogonality and Applications (see also projections, L14 p923)

 Week 2 (4/104/14)
L5: Systems of Linear Equations
L6: Matrices, Rref
L7: MatrixVector Products
L8: Null Space
L9: Column Space

 Week 3 (4/174/21)
 [4/21 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 (4/244/28)
 [4/27 Exam 1, 7:309:30pm; 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 (p11628 only); C4.1 (p24451 only): Partial Derivatives, Differentiability; Applications  Tangent Planes to Graphs; FirstOrder (Linear) Approximation and Differentials
C2.4 (p1348): HigherOrder Derivatives; Interpretation of Contour Maps

 Week 5 (5/15/5)
L15: Composition and Matrix Multiplication
L16: Inverses; Applications  Linear Systems, Coordinates (see also L21, p1459 only)
C2.5: Chain Rule

 Week 6 (5/85/12)
C2.6 (p15868 only): Directional Derivatives and Gradient; Application  Tangent Planes to Implicit Surfaces
C4.1 (p25255 only): Quadratic approximation (seconddegree Taylor polynomial), Hessian matrix; Application  Concavity in a given direction; Quadratic forms, Definiteness
L17: Determinants

 Week 7 (5/155/19)
 [5/18 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 (5/225/26)
 [5/26 Course withdrawal and change of grading basis deadline]
C4.2 (p26367 & 27074 only): Extrema of Functions
C4.3 (p278286): Lagrange Multipliers [case of one constraint, thru p283]
Course handout: Eigenvalues/Eigenvectors, Definiteness, and Second Derivative Test [application of constrained extrema]

 Week 9 (5/296/2)
 [5/29 Memorial day; no classes]
C4.3 (p278286): Lagrange Multipliers [continued; case of multiple constraints p2846]
C4.4 (p2937 & 3013): Applications of Extrema  Least Squares (Constrained & Unconstrained) Revisited; Applications in the Natural and Social Sciences

 Week 10 (6/56/9)
 [6/6 Last section; 6/7 last lecture]
 [6/9 Final Exam, 710pm; comprehensive but more heavily emphasizes topics since Exam 2]
TBA

