Week #1 
 Chapter 1: Vectors and related algebra (addition, scalar multiplication)
 Chapter 2: Vector geometry (length, dot product, angle) and correlation
 Chapter 3: Many ways to think about planes in space (algebraic and geometric)

April 1st: classes begin 
Week #2 
 Chapter 4: Span, subspace, and dimension
 Chapter 5: Basis and orthogonality
 Chapter 6: Projection onto subspaces

.. 
Week #3 
 Chapter 7: Application of projections: linear regression
 Chapter 8: Multivariable functions, level sets, and contour plots
 Chapter 9: Partial derivatives and how to visualize them

April 19th (Fri, 5:00 p.m.). Final day to add or drop a class;

Week #4 
 Chapter 10: Multivariable extrema via critical points
 Chapter 11: Gradient and linear approximation
 Chapter 12: Solving constrained optimization via Lagrange multipliers

April 25th: midterm I. 
Week #5 
 Chapter 13: Linear functions, matrices, and the derivative matrix
 Chapter 14: Linear transformations and matrix multiplication
 Chapter 15: Matrix algebra


Week #6 
 Chapter 16: Applications of matrix algebra: Markov chains and feedback loops
 Chapter 17: Multivariable Chain Rule
 Chapter 18: Matrix inverses and multivariable Newton's method


Week #7 
 Chapter 19: Linear independence and the GramSchmidt process
 Chapter 20: Matrix transpose, orthogonal matrices, and quadratic forms
 Chapter 21: Systems of linear equations, column space, and null space

May 13th (Monday, 5:00 p.m.): Term withdrawal deadline.
May 16th: Midterm II. 
Week #8 
 Chapter 22: Matrix decompositions (LU and QR)
 Chapter 23: Eigenvalues and eigenvectors
 Chapter 24: Applications of eigenvalues: matrix powers, Spectral Theorem, and geometry of quadratic forms

May 24th (Fri, 5:00 p.m.): Change of grading basis deadline.

Week #9 
 Chapter 25: Second partial derivatives and Hessian matrix
 Chapter 26: Application of Hessian: multivariable second derivative test for local extrema


Week #10 
 Chapter 27: More applications of eigenvalues (especially singular value decomposition)
 Review

EndQuarter Period. 
Final Exam 
June 7th 710 PM 
