Winter 2005 Math 214
What, When, and Where:
Course Description:
Calculus of Several Variables: Partial differentiation, the Jacobian matrix, and integral theorems of vector calculus.
Text:
Title: Calculus (Revised Edition)
Author(s): Garner
Chapters Covered: 11-15
Lectures:
MWF 9:00-9:50 116 TMCB
Office Hours:
MWF 10:00-10:50 306 TMCB (except Friday, which is at the Math Lab)
Grading Scheme:
25% Homework Assignments
45% Three Midterm Exams (%15 each)
30% Final Exam
Course Schedule: (subject to change)
Jan 05 Introduction, Vectors (Chapter 11.1)
Jan 07 Dot Products (Chapter 11.2)
Jan 10 Cross Products (Chapter 11.2)
Jan 12 Lines and Planes (Chapter 11.3, 11.5)
Jan 14 More Lines and Planes (Chapter 11.3, 11.5)
Jan 17 Holiday
Jan 19 Vector-Valued Functions (Chapter 11.6)
Jan 21 Curvilinear Motion (Chapter 11.7)
Jan 24 Curvature (Chapter 11.8)
Jan 26 More Curvature (Chapter 11.8)
Jan 28 Exam Review
Jan 31 Functions of Several Variables (Chapter 12.1-12.2)
Feb 02 Partial differentiation, Chain Rule (Chapter 12.3)
Feb 04 Gradient and Directional Derivative (Chapter 12.4)
Feb 07 More Gradient and Directional Derivative (Chapter 12.4)
Feb 09 Normal Vectors and Tangent Planes (Chapter 12.5)
Feb 11 Extrema and Optimization (Chapter 12.6)
Feb 14 Lagrange Multipliers (Chapter 12.8)
Feb 16 Applications
Feb 18 Review for Exam II
Feb 21 Double Integrals (Chapter 13.1)
Feb 23 Polar Coordinates (Chapter 13.2)
Feb 25 Volumes, Center of Mass (only partially covered in book)
Feb 28 Moments of Inertia (not covered in book)
Mar 02 Volumes and Triple Integrals
Mar 04 Cylindrical and Spherical Coordinates
Mar 07 Surface area
Mar 09 Jacobians
Mar 11 More on Jacobians
Mar 14 Review for Exam III
Mar 16 Vector Fields and Conservatism
Mar 18 Curl and Divergence
Mar 21 Path Integrals
Mar 23 More Path Integrals
Mar 25 Green's Theorem
Mar 28 More Green's Theorem
Mar 30 Stokes' Theorem
Apr 01 More Stokes' Theorem
Apr 04 Divergence Theorem
Apr 06 Applications to Electromagnetism
Apr 08 More Applications to Electromagnetism
Apr 11 Review
Apr 13 More Review
Assignments:
Assignment #1 (Due 01/12/05)
11.1 #1,4,5,11
11.2 #1-4,7,12-16
Assignment #2 (Due 01/17/05)
11.3 #1,2
11.4 #1 (Use Maple or Mathematica. Be sure to thank Nick Nelson for this)
11.5 #1,2,4,10,11,14,16-20
Assignment #3 (Due 01/24/05)
11.6 #1-16 (problem #3 is extra credit)
11.7 #1-5,13,14,16
Assignment #4 (Due 01/31/05)
11.8 #1-7
11.9 #1-16
Assignment #5 (Due 02/11/05)
Laplacian problems (here).
Assignment #6 (Due 02/16/05)
12.4 #13
12.5 #3,4
Assignment #7 (Due 02/25/05)
Optimization (here).
Assignment #8 (Due 03/04/05)
13.1 #4,6
13.2 #5-8
Assignment #9 (Due 03/11/05)
Inertia (here).
Assignment #10 (Due 03/18/05)
Review (here).
Assignment #11 (Due 03/30/05)
14.3 1-3
Assignment #12 (Due 04/13/05)
Review (here).