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MATH 2934: Differential and Integral Calculus III

Course Syllabus and Information

Course Syllabi:
 2934-004 (pdf)
 2934-005 (pdf)

Office Hours (On Zoom):
 Tu: 4:00pm-4:50pm
 F: 9:30am-10:20am

e-mail:
jjackson at math dot ou dot edu
e-mails received before 3:00pm will get a same-day reply, Monday through Friday!

Additional Information:
Lots of valuable information and answers to common questions can be found in the Course FAQ (pdf). This is something of a handbook for the course.

You may also find the Writing and Style Guide (pdf) a helpful introduction to presenting your solutions a bit more professionally than you might otherwise have done in the past.

Dark versions of the Course FAQ (pdf) and the Writing and Style Guide (pdf) are also available; you may find these a bit easier on your eyes if you're reading them off of a screen.


Homework

A list of the types of problems from each section that you should know how to solve for the exams can be found here (pdf).

Homework for Exam I

12.5: 3, 5, 7, 11, 13, 19, 21, 23, 25, 27, 31, 35, 41, 43, 45, 47, 51, 57, 59

12.6: 1, 3, 7, 9, 11, 19, 21-28, 29, 31, 33, 35

13.1: 1, 3, 5, 7, 9, 11, 21-26, 27, 31, 41

13.2: 3, 9, 11, 13, 17, 21, 23, 25, 35, 37, 39, 41

13.3: 1, 3, 5, 13, 15

13.4: 1(a), 3, 5, 9, 11, 13, 15, 17(a), 19

14.1: 1, 7, 9ab, 13, 15, 19, 23, 25, 27, 33, 35, 41, 47, 49, 61-66, 71

14.2: 1, 5, 7, 9, 17, 29, 37; complete as many of 5-22 as you can

Homework for Exam II

14.3: 5, 9, 15, 19, 21, 25, 33, 37, 39, 41, 47, 49, 51, 53, 57, 59, 63, 65, 69, 71, 77, 83, 97

14.4: 1, 3, 5, 11, 13, 15, 17, 19, 21

14.5: 1, 3, 5, 7, 11, 13, 15, 17, 19, 21, 23, 35, 39, 45

14.6: 7, 9, 11, 13, 15, 19, 23, 25, 27, 33, 35, 41, 45, 55, 57

14.7: 1, 3, 5, 7, 11, 13, 15, 17, 21, 31, 33, 35, 37, 41, 45, 47, 49, 51, 53, 55

14.8: 1, 3, 5, 7, 9, 11, 15, 21, 23, 25, 29, 31, 33, 35, 39

15.1: 1a, 3a, 5, 7, 13, 15, 17, 19, 21, 23, 29, 31, 33, 37, 39, 41, 47, 49

Homework for Exam III

15.2: 1, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 45, 49, 51, 53, 57, 61

15.3: 1-4, 5, 7, 9, 15, 19, 21, 23, 25, 29, 35, 39

15.5: 1, 3, 5, 7, 9, 11

15.6: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 27, 29, 31, 33, 35, 37

15.8: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 41, 43; supplemental exercises

Additional Homework for the Cumulative Final Exam

16.1: 1, 3, 5, 7, 11-14, 15-18, 21, 29-32

16.2: 1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 39, 41, 47, 49 (you may assume that r outputs vectors in R^2 and that v is a vector in R^2)

16.3: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 29

16.4: 1, 3, 5, 7, 9, 11, 13, 17, 21


Slides

All slides are in pdf format, unless otherwise noted.

Chapter 12: Vectors and the Geometry of Space

12.5: Equations of Lines and Planes
[Slides] [Printable Version]

12.6: Cylinders and Quadratic Surfaces
[Slides] [Printable Version]

Chapter 13: Vector Functions

13.1: Vector Functions and Space Curves
[Slides] [Printable Version]

13.2: Derivatives and Integrals of Vector Functions
[Slides] [Printable Version]

13.3: Arc Length
[Slides] [Printable Version]

13.4: Motion in Space: Velocity and Acceleration
[Slides] [Printable Version]

Chapter 14: Partial Derivatives

14.1: Fuctions of Several Variables
[Slides] [Printable Version]

14.2: Limits and Continuity
[Slides] [Printable Version]

14.3: Partial Derivatives
[Slides] [Printable Version]

14.4: Tangent Planes and Linear Approximations
[Slides] [Printable Version]

14.5: The Chain Rule
[Slides] [Printable Version]

14.6: Directional Derivatives and the Gradient Vector
[Slides] [Printable Version]

14.7: Maximum and Minimum Values
[Slides] [Printable Version]

14.8: Lagrange Multipliers
[Slides] [Printable Version]

Chapter 15: Multiple Integrals

15.1: Double Integrals Over Rectangles
[Slides] [Printable Version]

15.2: Double Integrals Over General Regions
[Slides] [Printable Version]

15.3: Double Integrals in Polar Coordinates
[Slides] [Printable Version]

15.5: Surface Area
[Slides] [Printable Version]

15.6: Triple Integrals
[Slides] [Printable Version]

15.8: Triple Integrals in Spherical Coordinates
[Slides] [Printable Version]

Chapter 16: Vector Calculus

16.1: Vector Fields
[Slides] [Printable Version]

16.2: Line Integrals
[Slides] [Printable Version]

16.3: The Fundamental Theorem for Line Integrals
[Slides] [Printable Version]

16.4: Green's Theorem
[Slides] [Printable Version]