## Math 51 Spring 2013

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Textbook abbreviations
LA = Linear Algebra (Levandosky)
DVC = Differential Vector Calculus (Licata)
 This schedule is very tentative, and it will be adjusted as necessary.
 Week 1 (4/1-4/5) [4/1 Preliminary study list deadline] [4/1 First lecture; 4/2 first section] LA 1: Vectors in Rn LA 2: Linear Combinations, Span LA 3: Linear Independence LA 4: Dot Product, Cross Product LA 5: Systems of Linear Equations LA 6: Matrices, Rref
 Week 2 (4/8-4/12) LA 7: Matrix-Vector Products (see also LA 15: Matrix Multiplication, p99-101 only) LA 8: Null Space LA 9: Column Space LA 10: Subspaces of Rn LA 11: Basis
 Week 3 (4/15-4/19) [4/19 Final study list deadline] LA 12: Dimension LA 13: Linear Transformations LA 14: Examples of Linear Transformations LA 15: Composition and Matrix Multiplication
 Week 4 (4/22-4/26) [4/25 Exam 1, 7:30-9:30pm, Hewlett 200; roughly covers thru LA 14 end of Week 3] LA 16: Inverses LA 17: Determinants LA 21: Systems of Coordinates
 Week 5 (4/29-5/3) LA 21: Systems of Coordinates (ctd) LA 23: Eigenvectors and Eigenvalues LA 25: Symmetric Matrices Reference for matrix transpose: p124-5 Reference for orthonormal basis: p162 Reference for orthogonal matrix: p164-5
 Week 6 (5/6-5/10) LA 26: Quadratic Forms DVC 1: Multivariable Functions, Graphs, Level Sets DVC 4: Parametric Curves DVC 7: Partial and Higher Order Derivatives; Differentiability and Total Derivative
 Week 7 (5/13-5/17) [5/16 Exam 2, 7:30-9:30pm, Hewlett 200; roughly covers thru DVC 4 end of Week 6] DVC 7: Partial and Higher Order Derivatives; Differentiability and Total Derivative (ctd) DVC 10.3; 11: Applications of Differentiation -- Tangent Planes to Graphs; Linearization and Quadratic Approximation DVC 8: Chain Rule
 Week 8 (5/20-5/24) [5/24 Course withdrawal and change of grading basis deadline] DVC 9; 10.2: Directional Derivatives and Gradient; Application -- Tangent Planes to Implicit Surfaces Download revised DVC 9 chapter here DVC 12: Extrema of Multivariable Functions (I) DVC 13: Extrema of Multivariable Functions (II)
 Week 9 (5/27-5/31) [5/27 Memorial Day, no classes] DVC 14: Lagrange Multipliers
 Week 10 (6/3-6/7) [6/4 Last section; 6/5 last lecture] [6/7 Final Exam, 7-10pm] Google Lecture (optional)

Spring 2013 -- Department of Mathematics, Stanford University