Math 265: Calculus III
Fall 2008

Most recent update: Monday, October 3
These policies and schedules are subject to revision.

Announcements:

Test Three Friday, October 3. Homework 6 due Tuesday. See below.
Monday office hour is changed to 10:00 every week because of committee meetings

Instructor

Dr. James Wilson
Office, phone, email: Carver 396D, 515 294 9816, jawilson@iastate.edu
Office hours: Monday 10:00, Tuesday 10:00, Wednesday 2:10, Thursday 9:00, Friday 10:00. You are also welcome to make appointments.

Regular class meetings

Mon, Tues, Thurs, Fri 11:00 - 11:50 in Carver 174, August 25 - December 12
Exceptions and additional meeting times: Holiday Monday, September 1, Thanksgiving break November 24 - 28. Final Exam to be scheduled in exam week, December 15 - 19.

Text and syllabus

Varberg, Purcell & Rigdon, Calculus, Ninth Ed., Pearson / Prentice Hall

11.1 - 11.9: Geometry in Space, Vectors. August 25 - September

12.1 - 12.9: Derivatives for Multivariable Functions. September - October

13.1 - 13.9: Multiple Integrals.

14.1 - 14.7: Vector Calculus.

Review:

Also see the calculus sequence web site: Calculus I,II,III, which has course objectives and sample exams.

Homework & preparation for tests:

I will collect homework once per week, normally on Tuesdays. Study the text and lectures to absorb the ideas and techniques. Pay careful attention to the language, both terms and symbols. Work textbook problems of many types, always with the intention of exercising your understanding and application of the main ideas and exercising your use of the language. Turn in two problems (or parts of problems) from the textbook section(s) specified. On each problem, you will be scored 0 to 6 for correctness (including completeness and clarity) and 0 to 4 for selection (including variety). You may work together in studying and solving, but write your own versions of the solutions. I recommend that you work many problems and then submit your best work.

Homework One, September 2: Turn in three problems selected from 11.1 - 11.3, excluding the problems on equations of planes in 11.3.

Homework Two, September 9: Three problems selected from 11.3 (problems related to plane equations), 11.4 and 11.5.

Homework Three, September 16: Three problems from 11.6 - 11.8.

Homework Four, September 22: Three problems from 11.9, 12.1.

Homework Five, September 29: Three problems from 12.2 - 12.4.

Homework Six, October 7: Three problems from 12.5 - 12.7.

Important ideas, techniques, and terms, by section:
Section 11.1: 3-D Graphs in rectangular coordinate system, distance formula (3-D Pythagorean Theorem), planes and spheres
Section 11.2: Vectors in two and three dimensions: direction, magnitude, unit vectors, addition, multiplication by scalars, basic properties, applications
Section 11.3: Dot product: definition using vector components; connections with angles, cosines; basic properties; use in projections; work; problems involving planes and their equations
Section 11.4: Cross product: definition using vector components; connections with angles, sines; basic properties; use in projections; torque; problmes involving lines and planes
Section 11.5: Vector functions of one variable: definition, interpretation as motion, calculation and meaning of integral and derivative, differentiation formulas
Section 11.6: Parametric and symmetric equations of lines in space, direction vectors, tangent lines, distance problems
Section 11.7: Curvature, radius of curvature, normal and tangential components of acceleration, meaning and calculation
Section 11.8: Cylinders and quadric surfaces in 3D space: names, equations, shapes, cross-sections
Section 11.9: Cylindrical and spherical coordinates, converting coordinates for points and equations for surfaces
Section 12.1: Terminology for and techniques of visualizing functions of several independent variables: independent and dependent variables, domain, range, graph, level curve, contour plot, level surface
Section 12.2: Partial derivatives: limit definition, calculation, geometric significance, and many notations; higher derivatives, meaning
Section 12.3: Intuitive understanding and calculation of limits, definition of continuity, recognition of continuous functions, equality of mixed partial derivatives, terminology: neighborhood, interior, boundary, open, closed, bounded
Section 12.4: Differentiability, equivalent to existence of tangent plane and to approximate local linearity, recognizing differentiable and nondifferentiable functions, gradient operator
Section 12.5: Meaning and calculation of directional derivative, significance of direction and magnitude of the gradient
Section 12.6: The chain rule for differentiation of functions of several variables, use of the chain rule for derivatives of implicitly defined functions
Section 12.7: Tangent planes to graphs and to level surfaces, differentials and Taylor Polynomials and their use in approximations

For Final Exam samples, also see the calculus sequence web site: Calculus I,II,III

Tests and Solutions

The seven tests are on alternate Fridays beginning September 5, in class, 50 minutes, 100 points each.

Test One, Friday, September 5, on sections 11.1 - 11.3, excluding plane equations problems. Solutions

Test Two, Friday, September 19, on sections 11.3 (plane equation problems), 11.4 - 11.8. Solutions

Test Three, Friday, October 3, on sections 11.9, 12.1 - 12.4. Solutions

Course Grading

Your course grade is based upon your total score out of 1000 points: 100 points from homework percentage, 700 from seven 100-point tests, and 200 from the final exam. A tentative grading scale: 100 - 80% A, 80 - 66 2/3% B, 66 2/3% - 53 1/3% C, 53 1/3 - 40% D, 40% - 0% F

Help sources

My office hours (above)

MyMathLab/CourseCompass: Tutorials from the textbook publisher and coordinated with the textbook. Course name is Calculus III. Course ID is [not yet set up]. MML/CC (We will not use the course management features of this software.)
Info from MyMathLab tech support: If you used MyMathLab with the same text in the past year, then to add our class, you go to the Login page but instead of logging in, click on View your Account Summary. On the Account Summary page, use your name and password to log in. On the page listing your courses, click Enroll in a Course.

Math Help Room: Carver 385. Staffed by good students, mainly undergraduate. Staffed 9:00 - 4:00 weekdays, September 2 - December 12. Help Room Schedule

Academic Success Center: "Creating relationships and providing services to enhance students' learning and academic success", for help with many issues: ASC

Calculators

Calculators do not play a major role in this course. You are expected to have them to use on special problems and to be able to give accurate decimal approximations, but you will be learning a lot of symbolic manipulation techniques that you must be able to use without calculator/computer assistance.

Disabilities

If you have a disability and require accommodations, please see me early in the semester so that your learning needs may be appropriately met. Also, show documentation of your disability at the Disability Resources office, 1076 Student Services Building, 515-294-6624.