Additional study resources appear at the bottom of the page. Solutions to the midterms are linked at their place in the syllabus.
| Week 1 | |
|---|---|
| Weds 21 Sept | 7.1: Integration by parts Exercises 9, 17, 23, 33, 38, 41 |
| Fri 23 Sept | 7.2: Trigonometric integrals Exercises 6, 17, 21, 25, 29, 33 |
| Week 2 | |
| Mon 26 Sept | 7.3: Trigonometric substitution Exercises 5, 9, 15, 23, 25, 35 |
| Weds 28 Sept | 7.4: Method of partial fractions Exercises 4, 11, 19, 21, 27, 33 |
| Fri 30 Sept | 11.1-2: Sequences and series 11.1 exercises 26, 28, 29, 34, 42 11.2 exercises 8, 14, 32, 48 |
| Week 3 | |
| Mon 3 Oct | 11.2, 7.8: Series and improper integrals 7.8 exercises 8, 12, 28, 34 |
| Weds 5 Oct | 11.3-4: The integral test and comparison tests 11.3 exercises 8, 13, 18, 22 11.4 exercises 6, 12, 25, 27 |
| Fri 7 Oct | 11.5: Alternating series Exercises 10, 16, 24, 28, 32 |
| Week 4 | |
| Mon 10 Oct | 11.6: Absolute convergence and the ratio and root tests Exercises 6, 11, 16, 18, 22, 29 |
| Weds 12 Oct | 11.8: Power series Exercises 11, 13, 21, 25 |
| Thurs 13 Oct | Midterm 1, 5:00-7:00 pm, Cook Auditorium Solutions |
| Fri 14 Oct | 11.9: Representing functions with power series Exercises 9, 11, 23, 27 |
| Week 5 | |
| Mon 17 Oct | 11.10: Taylor and Maclaurin series Exercises 9, 10, 13, 19 |
| Weds 19 Oct | 11.10: Taylor and Maclaurin series Exercises 34, 49, 52, 56, 64, 68 |
| Fri 21 Oct | 12.1: Three-dimensional coordinate systems Exercises 3, 7, 11, 16, 24, 32, 33 |
| Week 6 | |
| Mon 24 Oct | 12.2: Vectors Exercises 11, 17, 21, 25, 33 |
| Weds 26 Oct | 12.3: The dot product Exercises 5, 9, 17, 23, 25, 33, 41, 45 |
| Fri 28 Oct | 12.4: The cross product Exercises 3, 11, 15, 19, 29, 33, 35, 37 |
| Week 7 | |
| Mon 31 Oct | 12.5: Equations of lines and planes Exercises 5, 9, 11, 13, 21, 27, 35, 37, 47, 55, 59, 61, 69 |
| Weds 2 Nov | 13.1-2: Vector functions and their derivatives and integrals 13.1 exercises 1, 5, 13, 17, 21-26, 27 13.2 exercises 7, 9, 17, 23, 27, 39 |
| Fri 4 Nov | 13.3: Arc length and curvature Exercises 3, 18, 23, 29 |
| Week 8 | |
| Mon 7 Nov | 14.1: Functions of several variables Exercises 11, 17, 29, 49, 65, 67 |
| Tues 8 Nov | Midterm 2, 5:00-7:00 pm, Cook Auditorium Solutions |
| Weds 9 Nov | 14.2: Limits and continuity Exercises 7, 11, 15, 17, 31, 37 |
| Fri 11 Nov | 14.3: Partial derivatives Exercises 25, 31, 41, 49, 55, 67, 69 |
| Week 9 | |
| Mon 14 Nov | 14.4: Tangent planes and linear approximations Exercises 3, 11, 17, 31, 33 |
| Weds 16 Nov | 14.5: The chain rule Exercises 3,9,25,27,33,39,43 |
| Fri 18 Nov | 14.6: Directional derivatives and the gradient vector Exercises 13, 15, 25, 31, 43, 59 |
| Week 10 | |
| Mon 21 Nov | 14.7: Maximum and minimum values Exercises 7, 11, 15, 33, 35, 39, 41, 45 |
| Thanksgiving Break | |
| Week 11 | |
| Mon 28 Nov | wrap-up |
| Weds 30 Nov | wrap-up |
| Sat 3 Dec | Final Exam, 11:30 am-2:30 pm, Life Sciences Center room 100 |
David Lippman of Pierce College has made a graphing applet available (in either Javascript or non-Javascript form). You may graph in 2D or 3D and rotate the graphs to view them from different angles.
If you have a Mac, you can use the Grapher program, located in the Utilities folder of your Applications folder. Here are some files for sections 14.3 and 14.4: tangent1 and tangent2. Each of them features a different function and 7 equations related to that function. In order, they are: the surface, the curve in the surface when y is fixed, the curve in the surface when x is fixed, the tangent line over the first curve, the tangent line over the second curve, the normal line to the surface, and the tangent plane. In tangent1 the point of tangency is (1,0) and in tangent2 it is (1,1).
Another Grapher file: absoluteextrema. This shows the image of the unit circle on the function to help visualize the absolute extrema of that function in the unit disk.
Last modified 28 Nov 2011 by RW.