MAT 211 Calendar Spring 2008
Decimal numbers (10.1 for example) refer to sections in our
textbook, Essential Calculus, by James Stewart.
# indicates homework problems. All homework problems are due
the following Monday at the beginning of class. To
become proficient in this subject you should work more problems
than are assigned for homework! Homework problems are simply the
problems that you must turn in.
- 1st Week: Jan. 28-Feb. 1
- 10.1 Three-Dimensional Coordinate Systems. #4, 6, 8,
10, 14, 18, 20, 32, 34, 36.
- 10.2 Vectors. #6, 10, 16, 18, 20, 22, 24, 26.
- 10.3 The Dot Product. #8, 14, 20, 26, 32, 36, 38,
43.
- (10.4 is moved to next week).
- Solutions to selected problems
- 2nd Week: Feb. 4 - Feb. 8
- 10.4 The Cross Product. #2, 4, 8, 10, 16, 24, 28, 30,
34, 36, 40, 42.
- 10.5 Equations of Lines and Planes. #2, 4, 6, 10, 14,
16, 22, 24, 26, 36, 40, 48, 54
- 10.6 and 10.7 are moved to next week.
- Solutions to selected problems
- 3rd Week: Feb. 11 - Feb. 15
- 10.6 Cylinders and Quadric Surfaces. #3, 4, 8, 10, 18,
26, 32, 34
- 10.7 Vector Functions and Space Curves. #7, 10, 12, 24,
28, 34, 42, 46, 55, 58, 70
- 10.8 Arc Length and Curvature (except the part about the the binormal and osculating plane). #2, 7, 12, 14, 16, 18
- 10.9 Motion in Space: Velocity and Acceleration (except the part about Kepler's laws. Take a course in physics to find out about Kepler!!) #1, 8, 12, 16, 20, 22, 24, 28, 30
- Due date changed again! This homework is now due Monday Feb. 25 because we didn't have time to finish all of 10.8 and 10.9.
- Sec 11.1 is moved to next week. Functions of Several Variables
- Solutions to selected homework problems.
- 4th Week: Feb. 18 - Feb. 22
- 5th Week: Feb. 25 - Feb. 29
- 11.1 Functions of Several Variables #18, 19, 24, 33. Due Monday Mar. 3.
- Topographic Map example (also look up "contour map" on google).
- 11.2 Limits and Continuity #7, 11, 22. Due Monday Mar. 3.
- 11.3 Partial Derivatives #8, 17, 40, 43, 75. Due Monday Mar. 3.
- 11.4 Tangent Planes and Linear Approximations. #2, 4, 12, 17, 25, 28, 35
- (11.5 The Chain Rule is postponed to next week).
- Additional homework (due Monday March 3) Write a paragraph or two describing why you are taking this course and what you expect to get out of it. If your answer is "I'm taking it because it's required" then explain, as well as you can, why this course is required. There is no right or wrong answer here, you will get full credit if you make an honest effort to answer the question.
- Solutions to selected homework problems.
- 6th Week: Mar. 3 - Mar. 7
- 11.5 The Chain Rule. #2, 6, 10, 18, 22, 25, 28, 32
- The Implicit Function Theorem and the Inverse
Function Theorem. The notes for this lecture are on Blackboard because they are copied from a copyrighted text. To access the notes please log in to Blackboard, then navigate to MAT 211, then look at the "Course Documents" for MAT 211.
- 11.6 Directional Derivatives and the Gradient
Vector. #2, 4, 8, 14, 18, 22, 24, 28, 30, 34, 38, 46a. For #28 and #30 just print out these figures and sketch your solutions on top of them
- 11.7 and 11.8 are postponed until next week
- Solutions to selected homework problems.
- 7th Week: Mar. 10 - Mar. 14
- 11.7 Maximum and Minimum Values. #4, 8, 18, 32, 38, 42. Due Wednesday Mar. 19
- 11.8 Lagrange Multipliers. #4, 8, 19, 24, 2.
Due Wednesday Mar. 19
- Test Friday Mar. 14
- Solutions to test 2.
- 12.1 and 12.2 are postponed until next week.
- 8th Week: Mar. 17 - Mar. 22
- 12.1 Double Integrals over Rectangles. #6, 12, 16, 22, 28, 32
- 12.2 Double Integrals over General Regions. #4, 8, 12, 18, 24, 38, 40
- 12.3 is postponed until next week
- Solutions to selected problems in 11.7, 11.8, 12.1, 12.2
- 9th Week: Mar. 24 - Mar. 28
- 12.3 Double Integrals in Polar Coordinates. #6, 8, 14, 16, 20, 24. Due Wednesday April 9.
- 12.4 Applications of Double Integrals. #2, 6, 12 (hint: use polar coordinates), 16. Due Wednesday April 9.
- 12.5 Triple Integrals. #4, 12, 14, 19, 26, 36. Due Wednesday April 9.
- 12.6 Triple Integrals in Cylindrical Coordinates. #4, 10, 11, 12, 18, 20, 26, 29. Due Wednesday April 9.
- 12.7 Triple Integrals in Spherical Coordinates. #2, 4, 10, 14, 20, 24, 26, 30, 36. Due Wednesday April 9.
- Solutions
- Spring Break Mar. 31 - Apr. 4
- 10th Week: Apr. 7 - Apr. 11
- 12.8 Change of Variables in Multiple Integrals. #2, 6, 8, 10, 12, 14, 18, 20, 22, 24. Due Wednesday Apr. 16.
- Solutions
- 13.1 is postponed until next week.
- 11th Week: Apr. 14 - Apr. 18
- 13.1 Vector Fields. #2, 6 (hint: check that v is a unit vector perpendicular to the position vector ), 11-18, 24, 30 (hint: What are its position and velocity at time t=1? If it moves with that velocity until time t=1.05, how far will it move? If you know that you can find its approximate position at time t=1.05), 31
- 13.2 Line Integrals. #2, 4, 6, 10, 12, 14, 16, 18, 26, 28, 34, 38
- Solutions
- (13.3 is postponed until next week).
- 12th Week: Apr. 22 - Apr. 25
- 13th Week: Apr. 28 - May 2
- 13.4 Green's Theorem. #2, 4, 8, 12, 14, 16, 18
- 13.5 Curl and Divergence. #2, 4, 6, 12, 14, 16, 18 (hint: see theorem 11 on page 763), 20
- Homework is due Wednesday May 7
- Solutions
- (13.6 and 13.7 are postponed until next week.)
- 14th Week: May 5 - May 9
- 13.6 Parametric Surfaces and Their Areas. #2 (let u run from 0 to 2 pi), 11-14, 16, 18, 20, 30, 32, 38, 40, 54
- 13.7 Surface Integrals. #6, 10, 14 (hint: The boundary of the solid region is a surface that includes its top, bottom, and sides.), 16, 20, 24, 26, 38, 40
- 13.8 is postponed until next week.
- Homework is due Wednesday May 14
- Solutions
- 15th Week: May 12 - May 16
- You must work these problems for practice but do not turn them in because you will never get them back. I will post the solutions on Friday. This material is the final goal of the course: it will be on the final exam!!
- 13.8 Stokes' Theorem. #2, 4, 6, 8, 10, 12, 14
- 13.9 The Divergence Theorem. #3, 5, 7, 9, 11, 13, 17, 25
- Solutions
- Review Notes for review
- Final Exam Monday May 19 10am - 12
noon.
George Jennings
