Math 212: Multivariable Calculus (Fall 2005)
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Notes
 
 
Class 30 : Wed Dec 7 Conservative Vector Fields 
Class 29 : Mon Dec 5 The Trinity: Gauss, Stokes' and Green's Theorem 
Week 15
Class 28 : Wed Nov 30 Div, Grad, Curl and all that! 
Class 27 : Mon Nov 28 Introduction to Path Integrals 
Week 14
Class 25 : Mon Nov 21 Jacobi's Theorem (change of Variables)
Week 13
Fri Nov 18 EXAM 2
Class 26 : Wed Nov 16 Review For Exam 2 
Class 25 : Mon Nov 7 Jacobi's Theorem (change of Variables)
Week 12
Class 24 : Fri Nov 11 Multiple Integration
Class 23 : Wed Nov 9 Introduction to Iterated Integration 
Class 22 : Mon Nov 7 Curvilinear Coordinates 
Week 11
Class 21 : Fri Nov 4 Extrema of a Multivariable Function, Part 2
Class 20 : Wed Nov 2 Extrema of a Multivariable Function, Part 1 
Class 19 : Mon Oct  31 Extrema of a Multivariable Function, Part 1 
Week 10
Class 21 : Fri Oct 28 Implicit Function Theorem and Implicit Differentiation
Class 20 : Wed Oct 26 Implicit Function Theorem and Implicit Differentiation
Class 19 : Mon Oct 24 The Multivariable Chain Rule, continued (The Chain Rule dance!)
Week 9
Fri Oct 21 Fall Break
Class 18 : Wed Oct 19 The Multivariable Chain Rule
Class 17 : Mon Oct 17 Vector Fields and Gradient Fields
Week 8
Exam 1!
Class 16 : Wed Oct 12 Reviewing for Exam 1 
Class 15 : Mon Oct 10 Multivariable Newton's Method
Week 7
Class 14 : Fri Oct 7 The Jacobian Matrix
Class 13 : Wed Oct 5 Differentiability of a Vector Function:
The Gradient
 
Class 12 : Mon Oct 3 Limits of a Multivariable Function
Week 6
Class 11 : Fri Sep 30 Application of Partial Derivatives
Class 10 : Wed Sep 28 Partial Derivatives
Class 9 : Mon Sep 26 Visualizing Multivariable Functions
Week 5
Class 8 : Fri Sep 23 Vector Functions
Class 7 : Wed Sep 21 Review of Linear Systems, Part 3
Mon Sep 19 Flashman guest lecture
Week 4
Class 6 : Fri Sep 16 Review of Linear Systems, Part 2
Class 5 : Wed Sep 14 Review of Linear Systems, Part 1
Class 4 : Mon Sep 12 The Vector Cross Product
Week 3
Class 3 : Fri Sep 9 The Dot Product and its Implications and Applications
Class 2 : Wed Sep 7 Parametric Equations of Lines and Planes
Week 2
Class 1 : Fri Sep 2 Introduction to Vectors and Notation
Week 1