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Math 51
Fall 2014

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Textbook abbreviations
LA = Linear Algebra (Levandosky)
DVC = Differential Vector Calculus (Licata)

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

Date Topics Sections Event
Week 1
Sep 22 Vectors, Linear Combinations, Span LA 1, 2 Preliminary study list deadline (5pm)
Sep 23 Examples  
Sep 24 Span, Linear Independence LA 2, 3  
Sep 25 Examples
Sep 26 Dot Products and Their Applications LA 4  
Week 2
Sep 29 Systems of Equations, Matrices LA 5,6
Sep 30 Examples
Oct 1 RREF, Matrix-vector Products LA 6, 7
Oct 2 Examples Homework 1 due
Oct 3 Nullspace, Column Space LA 8, 9  
Week 3
Oct 6 LA 10, 11: Subspaces of Rn, Basis LA 10, 11  
Oct 7 Examples  
Oct 8 Basis, Dimension LA 11, 12
Oct 9 Examples Homework 2 due
Oct 10 Linear Transformations and Examples LA 13, 14 Final Study List (add/drop) deadline (5pm)
Week 4
Oct 13 Composition and Matrix Multiplication LA 15
Oct 14 Examples
Oct 15 Inverses LA 16
Oct 16 Examples Homework 3 due, Midterm 1
Oct 17 Determinants LA 17  
Week 5
Oct 20 Systems of Coordinates LA 21 (first half)  
Oct 21 Examples  
Oct 22 Eigenvectors and Eigenvalues LA 23  
Oct 23 Examples Homework 4 due
Oct 24 Symmetric Matrices LA 25
Week 6
Oct 27 Quadratic Forms LA 26  
Oct 28 Examples
Oct 29 Multivariable Functions, Graphs, Level Sets DVC 1
Oct 30 Examples Homework 5 due
Oct 31 Parametric Curves DVC 4  
Week 7
Nov 3 Limits and Continuity DVC 5
Nov 4 Examples
Nov 5 Partial Derivatives, Higher Derivatives, Differentiability and Total Derivative DVC 7  
Nov 6 Examples Homework 6 due, Midterm 2
Nov 7 Chain Rule DVC 8  
Week 8
Nov 10 Directional Derivatives and Gradient DVC 9
Nov 11 Examples
Nov 12 Tangent planes DVC 10

Nov 13 Examples Homework 7 due
Nov 14 Linearization and Taylor's Theorem DVC 11 Deadline for withdrawing and change of grading basis (5pm)
Week 9
Nov 17 Extrema of multivariable functions I DVC 12  
Nov 18 Examples
Nov 19 Extrema of multivariable functions II DVC 13  
Nov 20 Examples Homework 8 due
Nov 21 Lagrange Multipliers DVC 14
Week 10
Dec 1 Lagrange Multipliers (continued) DVC 14
Dec 2 Examples
Dec 3 Google PageRank
Dec 4 Examples, review Homework 9 due
Dec 5 Review
Final Exam, Monday, December 8th

Fall 2014 -- Department of Mathematics, Stanford University
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