MATH 121 Calculus III 95253 LEC A 4.00 48 47 1 03:30 04:20 M W F VOTEY 207 Dupuy T Prereqs enforced by the system: MATHoffice hours:
02:50 04:05 T PERKIN 107 022 or MATH 023; Open to degree and CDE
students
95254 LEC B 4.00 48 41 7 05:05 05:55 M W F KALKIN 004 Dupuy T Prereqs enforced by the system: MATH
04:25 05:40 T PERKIN 102 022 or MATH 023; Open to degree and CDE
student
Due Date 
Topics 

Homework 01 (solutions) 
Wednesday, September 7th (+ webassign HW01) 
12.1,
12.2, 12.3 (dot products), 12.4 (cross products), 12.5 (lines and
planes), 13.1 (vector valued function) + 14.1 (multivariate functions) 
Homework 02 (solutions) 
Monday, September 12th 
12.6 (surfaces in 3D), 13.2 (derivatives of vector valued functions) 
Homework 03 (solutions) 
Friday, September 16th 
13.3 (arc length and curvature), 13.4 (physics stuff) 
Homework 04 (solutions) 
Friday, September 23rd (Midterm day) 
14.1 (level surfaces and contour plots), 14.2 (limits), 14.3/14.4 (partial derivatives, tangent planes, gradients) 
Homework 05 (solutions) 
Friday, September 30th 
14.3/14.4 (partial derivatives, tangent planes, gradients). 14.5 (Chain Rule) 
Homework 06 (solutions) 
Friday, October 7th 
14.6 (directional derivatives, gradients), 14.7 (max/min), 14.8 (Lagrange Multipliers) 
Homework 07 (solutions) 
Monday, October 17th 
15.115.3 (Double Integrals) 
Homework 08 (solutions) 
Tuesday, November 2nd 
15.6 (Triple Integrals), 15.7/15.8/15.9 (Change of Variables, Spherical, Cylindrical), 
Homework 09 (solutions) 
Tuesday, November 8th 
16.1 (Vector fields), 16.5 (Curl and Divergence) 
Homework 10 (solutions) 
Tuesday, November 15th 
16.2 (Line Integrals), 16.3 (Fundamental Theorem of Line Integrals), 16.4 (Green's Theorem), 
Homework 11 (solutions) 
Friday, December 9th 
16.6 (Parametric Surfaces), 16.7 (Surface Integrals), 16.8 (Stokes Theorem), 16.9 (Divergence Theorem) 
9/14/16  Comments on Math Writing, HW03 comments 
9/16/16  Partial Derivatives (Calczilla comic) 
9/18/16  Symbolic Computing and Limits (121A worksheet, 121B worksheet, premade worksheet) 
9/19/16  Limits 
9/20/16  More Limits and Review 
9/21/16  Review 
9/23/16  Midterm 01 
9/26/16  Gradients and Tangent Planes 
9/27/16  Linear Approximation + Chain Rules 
9/28/16  More Chain Rule 
9/30/16  Directional Derivatives and Gradients 
10/3/16  Critical Points and 2nd Derivative Test 
10/4/16  Extreme Value Theorem and Lagrange Multipliers part 1 
10/5/16  Lagrange Multipliers part 2 
10/7/16  Double Integrals 
10/12/16 Double Integrals 
 Triple Integrals 
 Triple Integrals 
 Change of Variables  part 1  Matricies Jacobians 
 Change of Variables  part 2  Riemann Integration and Change of Variables 
 Change of Variables  part 3  Riemann Integration and Change of Variablse 
 Change of Variables  part 4  Spherical Coordinates 
 Vector Fields, Potentials and Curl (Poincare Baker Story) 
 Divergence (left over from last class). Line Integrals. 
 Line Integrals 
 Line Integrals 
 Fundamental Theorem of Line Integrals 
 Green's Theorem 
 Parametric Surfaces 
 Parametric Surfaces 
 Parametric Surfaces (Klein Bottle, Poincare's Conjecture) 
 Surface Integrals 
Surface Integrals 
Surface Integrals 
Divergence and Stokes 
Divergence and Stokes 
Divergence and Stokes 
Midterm 01 (solutions) 
Friday, September 23 
Midterm 02 (solutions) 
Tuesday, October 25th 
Midterm 03 (solutions) 
Tuesday, November 29th 
Math121A Final (solutions) 
Votey 207, Thursday December 15th 2015, 16:3019:15, 
Math121B Final (solutions) 
Kalkin 204, Wednesday December 14th 2015, 19:30  22:15 