Calculus III

Math 2400, Section 002, Spring 2007

Course Information

Instructor: Eitan Angel

Email: Eitan.Angel@colorado.edu

Office: Math 364

Office Hours: M 11a-12n, WF 9a-10a, or by appointment.

Syllabus

Homework
Announcements:
Lecture Notes:

Date Section Topic Handout with overlay Comments Exercises
16 Jan 12.1, 2 Cartesian Space and Vectors 1 1
19 Jan 12.3 Dot Product 2 2 Slide 14 has been corrected. Check out this demonstration!
22 Jan 12.4 Cross Product 3 3 Minor errors on slides 8 and 10 have been corrected.  Cross product demos are here and here.  Monkey washing cat is here.
24 Jan 12.5 Lines 4 4
26 Jan 12.6 Planes 5 5
29 Jan 12.7 Quadric Surfaces 6 6
31 Jan 12.8 Cylindrical and Spherical Coordinates 7 7
2 Feb 13.1 Vector Functions 8 8 Minor error corrected (2-3).  Videos: Helix, Twisted Cubic, Trefoil, Toroidal Spiral, Toroidal Knots: Left, Center, Right
5 Feb 13.2 Calculus of Vector Functions 9 9
7 Feb 13.3 Arc Length 10 10 Videos: Folium, Reparametrized Folium
9 Feb 14.1 Multivariable Functions 11 11 Videos: Exponential, Sin, Wire Sin, Paraboloid1, Paraboloid2, Spheres, Hyperboloids
16 Feb 14.2 Limits and Continuity 12 12
19 Feb 14.3 Partial Derivatives 13 13 Videos: Wave
21 Feb 14.4 Differentiability and Differentials 14 14 Error on slide 7 corrected (2-22)
23 Feb 14.5 The Chain Rule 15 15 14.5
26 Feb 14.6 Directional Derivative and Gradient 16 16 Updated, broken links fixed (3-2) 14.6
28 Feb 14.7 Tangent Planes 17 17 Updated (3-2).  Videos: ex1 14.7
5 Mar 14.8 Extrema 18 18 14.8
9 Mar 15.1 Double Integrals 19 19 15.1
16 Mar 15.2 Double Integrals 20 20 15.2
19 Mar 15.3 Polar Double Integrals 21 21 Riemman Sum Defn is discluded (done in class though) 15.3
21 Mar 15.4 Parametric Surfaces 22 22 Surfaces of Revolution discluded 15.4
23 Mar 15.5 Triple Integrals 23 23 15.5
2 Apr 15.7 Cylindrical and Spherical Triple Integral 24 24 Completion of "Picture Gallery"
4 Apr 15.8 Transformations and Jacobians 25 25
6 Apr 16.1 Vector Fields 26 26 Here are the 2D vector field simulation and 3D vector field simulation. 16.1
9 Apr 16.2 Line Integrals 27 27 16.2
11 Apr 16.3 Fundamental Theorem 28 28 16.3
13 Apr 16.4 Green's Theorem 29 29

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