Past Courses
Portland, Oregon
Fall 2009
Calculus C - Math 213, Sections 01 and 02
Textbook:
Calculus: Multivariable, Fourth Edition, by William G. McCallum, Deborah Hughes-Hallett, Andrew Gleason, et al.
If you are looking for this book online, you should know that a fifth edition is now out. We are still asking you to buy the fourth edition. It should be much cheaper!
It is advisable to have access to a single variable calculus textbook.
Course Description:
The third in a three-semester calculus sequence, this course examines differentiation and integration in three dimensions. Topics of study include functions of more than one variable, vectors and vector algebra, partial derivatives, optimization, and multiple integrals. Some of the following topics from vector calculus will also be covered as time permits: vector fields, line integrals, flux integrals, curl, and divergence. Prerequisite: MATH 112 or permission of the instructor.
Syllabus
Homework:
Assignments will be announced in class and then usually posted here. The classroom announcement serves as official notification.
Due Friday, September 4th
Section 12.1: 2, 3, 6, 8, 10, 18, 22, 26, 28, 30,
Section 12.2: 4, 5, 8, 10, 14, 22.
Due Wednesday, September 9th
Section 12.3: 4, 9, 10, 17, 18, 23.
Due Friday, September 11th
Section 12.4: 3, 10, 12-15, 16, 20.
Due Wednesday, September 16th
Section 12.6: 1, 2, 4, 6, 12, 14, 19, 20.
Due Friday, September 18th
Section 13.1: 2, 6, 11, 12, 19, 24, 30, 32,
Section 13.2: 1-5, 7, 11, 13, 22.
Due Wednesday, September 23rd
Section 13.3: 6, 12, 15, 18, 24, 29, 38ac, 42,
Section 13.4: 3, 5, 14, 15, 19.
Due Friday, October 2nd
Section 13.4: 29, 33,
Section 14.1: 4, 6, 8, 13, 17.
Due Monday, October 5th
Section 14.2: 1, 4, 7, 10, 12, 22, 25, 26, 32, 34, 41, 45.
Due Wednesday, October 7th
Section 14.3: 2, 7, 9, 14, 18, 19, 22.
Due Friday, October 9th
Section 14.4: 1-6, 18, 25, 32, 46, 51, 52, 55, 58, 64, 65.
Due Monday, October 19th
Section 14.6: 2, 5, 6, 9, 10, 16, 22, 36-38,
Section 14.7: 3, 8, 13, 14, 30.
Due Monday, November 2nd
Section 15.1: 1, 7, 10, 16, 21, 22, 23, 26.
Due Friday, November 6th
Section 15.2: 6, 7, 10, 13, 18, 19, 25, 29.
Due Wednesday, November 11th
Section 15.3: 5, 7, 16, 17, 19, 22.
Due Friday, November 13th
Section 16.1: 2, 5, 9, 12, 13, 16, 20, 27, 31.
Due Wednesday, November 18th
Section 16.2: 4, 7, 9, 16, 22, 28, 37, 41,
Section 16.4: 2, 3, 6, 10, 16.
Due Friday, December 4th
Section 16.3: 4, 8, 10, 16, 21, 27, 34, 47.
Due Monday, December 7th
Section 16.5: 1, 3, 5, 9, 12, 15-17, 30.
Lecture Topics:
Each day’s lecture topic will be posted here after class. A tentative schedule of what’s to come is in the syllabus.
Mon, Aug 31: 12.1 Functions of Two Variables
Wed, Sep 2: 12.2 Graphing Functions of Two Variables
Fri, Sep 4: 12.3 Contour Diagrams
Mon, Sep 7: 12.4 Linear Functions
Wed, Sep 9: 12.6 Limits and Continuity
Fri, Sep 11: 12.6 Limits and Continuity
Mon, Sep 14: 13.1-2 Vectors
Wed, Sep 16: 13.3 The Dot Productl
Fri, Sep 18: 13.3 The Dot Product
Mon, Sep 21: 13.4 The Cross Product
Wed, Sep 23: Review
Fri, Sep 25: Exam 1
Mon, Sep 28: 14.1 Partial Derivatives
Wed, Sep 30: 14.2 Computing Partial Derivatives
Fri, Oct 2: 14.3 Local Linearity and the Differential
Mon, Oct 5: 14.4 Directional Derivatives and the Gradient
Wed, Oct 7: 14.4 Directional Derivatives and the Gradient
Fri, Oct 9: 14.5 Gradients and Directional Derivatives in Space
Mon, Oct 12: Reading Days - No Class
Wed, Oct 14: 14.6 Chain Rule
Fri, Oct 16: 14.7 Second Order Partial Derivatives
Mon, Oct 19: 14.8 Differentiability
Wed, Oct 21: Review, Parametric Plots Project Handed Out
Fri, Oct 23: Exam 2
Mon, Oct 26: 15.1 Local Extrema
Wed, Oct 28: 15.1 Local Extrema
Fri, Oct 30: No Lecture, work on project
Mon, Nov 2: 15.2 Optimization
Wed, Nov 4: 15.2 Optimization
Fri, Nov 6: 15.3 Lagrange Multipliers
Mon, Nov 9: 16.1 Definite Integral of a Function of Two Variables
Wed, Nov 11: 16.1-2: Iterated Integrals
Fri, Nov 13: 16.2 Iterated Integrals
Mon, Nov 16: 16.4 Double Integrals in Polar Coordinates
Wed, Nov 18: Review
Fri, Nov 20: Exam 3
Mon, Nov 29: 16.3 Triple Integtrals
Wed, Dec 2: 16.5 Cylindrical and Spherical Coordinates
Fri, Dec 4: 16.5 Cylindrical and Spherical Coordinates
Mon, Dec 7: Vector Calculus Lab - Part 1
Wed, Dec 9: Vector Calculus Lab - Part 2
Fri, Dec 11: Vector Calculus Lab - Part 3
Fri, Dec 18: Final Exam (Section 2)
Sat, Dec 19: Final Exam (Section 1)
Chris Camfield, Visiting Assistant Professor