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Multivariable Calculus
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Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly.


Lectures Sections in Text Brief Description
9/20 1.1 - 1.5 Vectors; dot and cross products; lines and planes
9/22 1.6 Curves in Euclidean space; tangent vectors and lines
9/25 2.1 - 2.2 Graphs, level surfaces, partial derivatives and continuity
9/27 2.3 Differentiability, the derivative matrix, tangent planes
9/29 2.4 The Chain Rule
10/2 2.5 Gradients, Directional Derivatives
10/4 2.6, 4.1 Implicit Differentiation, Curves and acceleration
10/6 4.2 Arc length
10/9 4.3 Vector Fields
10/11 4.4 Divergence and Curl
10/13 4.4 - 5.1 Divergence and Curl / Volumes
10/16 5.2 Double Integrals and Riemann sums
10/17(xhour) xx First Exam (1 - 1:50 pm) plus take home part due 10/18
10/18 5.2 - 5.3 Double Integral over rectangle
10/20 5.3 Double integrals over other regions
10/23 5.4 Triple Integrals
10/24 (xhour) 5.5 Change of variables (cylindrical and spherical coordinates) Meeting in xhour instead of 7:45 on Friday)
10/25 5.5 Change of variables (cylindrical and spherical coordinates)
10/30 5.6 Applications
11/1 6.1 Line Integrals
11/3 6.1 Line Integrals
11/6 6.2 Parametrized surfaces
11/7 (xhour) xx Second Exam (1 - 1:50 pm) plus take-home part due 11/8
11/8 6.3 Area of a surface
11/10 6.4 Surface Integrals
11/13 7.1 Green's Theorem
11/15 7.2 Stokes' Theorem
11/17 7.2 Stokes' Theorem
11/20 7.3 Gauss' Theorem
11/27 7.4 Independence of Path and FTC
11/29 xx Wrap it up


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