# Schedule

Note: This schedule is subject to change, and may vary slightly depending on your instructor.

Chapter 12 Problems - Stewart 8th ed

Chapter 13 Problems - Stewart 8th ed

Chapter 14 Problems - Stewart 8th ed

Chapter 15 Problems - Stewart 8th ed

Chapter 16 Problems - Stewart 8th ed

Week |
Days |
Section(s) |
Topics |
Suggested Exercises (Stewart 8th ed.) |
---|---|---|---|---|

1 | Three-Dimensional Coordinate Systems; Vectors. | 12.1: 7-17 odd, 23, 29, 41 12.2: 19, 21, 23, 27 |
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2 | The Dot Product; The Cross Product. | 12.3: 3, 5, 7, 15, 17, 19, 23, 29, 39, 41, 43 12.4: 1, 3, 5, 7, 19, 29, 31 |
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3 | Equations of Lines and Planes; Cylinders and Quadric Surfaces; Vector Functions and Space Curves. |
12.5: 1 (all), 3, 5, 13, 19-39 odd, 45, 51, 53, 55, 57 12.6: 1, 3, 5, 7, 21, 23, 25, 27 13.1: 3, 5, 21-26, 27, 41, 43 |
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4 | Derivatives and Integrals of Vector Functions; Arc Length and Curvature; Motion in Space: Velocity and Acceleration |
13.2: 9-25 odd, 35, 37, 49 13.3: 1, 3, 5, 15, 17, 19, 23, 25, 47 13.4: 9, 11, 13, 15, 17a, 19, 37, 39, 41 |
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5 | Functions of Several Variables; Limits and Continuity | 14.1: 13, 15, 17, 23, 27, 32, 43, 46, 61-66, 69 14.2: 5-15 odd, 18, 19, 20, 29, 31, 39-41 |
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Exam 1: Thursday, September 26, 8:00-9:15 am. | ||||

6 | Partial Derivatives; Tangent Planes and Linear Approximations |
14.3: 15, 17, 21, 31, 32, 44, 47, 49, 53, 59, 65, 71 14.4: 1, 3, 5, 11, 13, 17, 19, 21 |
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7 | The Chain Rule; Directional Derivatives and the Gradient Vector | 14.5: 1-11 odd, 15, 18, 23, 27, 31 14.6: 7, 9, 11, 15, 19, 22, 23, 27, 43, 45 |
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8 | Maximum and Minimum Values | 14.7: 1, 5-19 odd, 31-37 odd, 41, 45 | ||

9 | Lagrange Multipliers; Double Integrals over Rectangles | 14.8: 3-11 odd, 21, 31-37 odd 15.1: 11, 13, 17, 19, 21, 25, 29, 33 |
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10 | Double Integrals over General Regions; Double Integrals in Polar Coordinates; Triple Integrals | 15.2: 1-9 odd, 15-21 odd, 23, 45-53 odd 15.3: 1-9 odd, 15-27, 29 odd 15.6: 3-13 odd, 17-21 odd, 27, 35 |
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Exam 2: Thursday, October 31, 8:00-9:15 am. | ||||

11 | Triple Integrals in Cylindrical Coordinates; Triple Integrals in Spherical Coordinates; Change of Variables in Multiple Integrals | 15.7: 1-9 all, 11-23 odd, 29 15.8: 1-5 all, 8, 9-25 odd, 35, 41 15.9: 1-7 odd, 15, 17, 23 |
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12 | Vector Fields; Line Integrals; The Fundamental Theorem for Line Integrals | 16.1: 1, 5, 11-14, 21, 23, 29, 31 16.2: 1-21 odd, 39 16.3: 3-23 odd |
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13 | Green's Theorem | 16.4: 1-11 odd, 17 | ||

14 | Curl and Divergence; Parametric Surfaces and their Areas | 16.5: 1-7 odd, 13-19 odd 16.6: 1, 13-18 all, 19-25 odd, 33, 35, 39-49 odd |
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15 | Surface Integrals; Stokes' Theorem | 16.7: 5-31 odd 16.8: 1-9 odd |
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16 | The Divergence Theorem | 16.9: 1-13 odd | ||

Final Exam: Friday, December 13, 12:30-3:00 pm. |