Schedule for Math 2300 – Multivariable Calculus
This page gives the tentative and ever-evolving schedule of sections/topics covered in each class. I will aim to have the topics for each class posted at well in advance, and will modify the schedule after the fact to reflect what was actually covered.
It is important that read along in the text as we cover material in class. I recommend that you read the relevant sections in advance so that you are better prepared participate in class discussion. The suggested exercises are meant to give you more experience with; I encourage you to work through these exercises to make sure you can completely understand and solve them.
Section and exercise numbers refer to our textbook: Calculus, eighth edition by James Stewart.
| Date | Topic | Suggested Exercises |
|---|---|---|
| Wed Aug 22 |
Introductions; Syllabus & Administrative Info; Review; §12.1: Three-Dimensional Coordinate Systems |
12.1 – 3, 4, 6, 7, 9, 14, 15, 19, 21, 23, 32, 37, 40, 45 |
| Fri Aug 24 |
§12.1: Three-Dimensional Coordinate Systems §12.2: Vectors and the Geometry of Space |
12.2 – 2, 4, 5, 6, 9, 13, 17, 19, 21, 25, 27, 29, 31, 35, 37, 38, 39, 41 |
| Mon Aug 27 |
§12.3: The Dot Product | 12.3 – 1, 3, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 26, 27, 29, 35, 37, 38, 39, 43, 47. 49, 53 |
| Wed Aug 29 |
§12.4: The Cross Product | 12.4 – 1, 3, 7, 8, 9, 11, 15, 17, 19, 21, 23, 25, 27, 31, 33, 37, 39, 43, 45, 47, 50, 53 |
| Fri Aug 31 |
§12.5: Equations of Lines and Planes | 12.5 – 1, 3, 5, 9 , 11, 13, 15, 17, 19, 21, 25, 27, 33, 35, 37, 39, 43, 45, 51, 55, 57, 61, 63 |
| Mon Sept 3 |
Quiz 1 §12.5: Equations of Lines and Planes §12.6: Cylinders and Quadric Surfaces |
12.5 – 65, 67, 69, 71, 73, 75, 77, 80 12.6 – 1, 3, 5, 7, 9, 11, 13, 15, 19 |
| Wed Sept 5 |
§12.6: Cylinders and Quadric Surfaces §13.1: Vector Functions and Space Cruves |
12.6 – 21-28, 29, 31, 35, 37, 45, 47, 51, 52 Ch 12 Review: especially Concept Check and True/False 13.1 – 1, 3, 5, 7, 11, 15, 21-26, 27, 29, 31 |
| Fri Sept 7 |
§13.1: Vector Functions and Space Cruves §13.2: Derivatives and Integrals of Vector Functions |
13.1 – 39, 41, 43, 45, 49, 53 13.2 – 1, 3, 5, 7, 9, 11, 15, 17, 19, 23, 25, 27, 29, 33 |
| Mon Sept 10 |
§13.2: Derivatives and Integrals of Vector Functions Review |
13.2 – 35, 37, 38, 39, 41, 43–46, 47, 49, 51, 53, 55 |
| Wed Sept 12 |
Exam 1: Covering §12.1–§12.6, and §13.1–§13.2 | |
| Fri Sept 14 |
§13.3: Arc Length and Curvature | 13.3 – 1, 3, 5, 12, 13, 15, 16, 17, 19, 21, 23, 25, 29, 33, 39, 47, 49, 53, 55, 59, 68 |
| Mon Sept 17 |
§13.4: Motion in Space: Velocity and Acceleration | 13.4 – 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 22, 23, 25, 26, 27, 30, 31, 35, 37, 39, 41, 43 Ch 13 Review: especially Concept Check and True/False |
| Wed Sept 19 |
§14.1: Functions of Several Variables | 14.1 – 1, 3, 8, 9, 11, 13, 15, 19, 23, 29, 31, 32, 33, 35, 38, 39, 41, 43, 45, 49, 53, 61-66 |
| Fri Sept 21 |
§14.1: Functions of Several Variables §14.2: Limits and Continuity | 14.2 – 1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 29, 31, 35, 36, 38, 39, 40, 44 |
| Mon Sept 24 |
§14.3: Partial Derivatives | 14.3 – 1, 5, 6, 7, 8, 9, 11, 15, 17, 19, 23, 25, 27, 29, 33, 37, 39, 41, 43, 45, 47, 49, 52, 53, 55, 59, 65, 67, 69, 79, 81, 96 |
| Wed Sept 26 |
Quiz 2 §14.4: Tangent Planes and Linear Approximations |
14.4 – 1, 5, 7, 11, 13, 15, 17, 23, 25, 27, 31, 33, 35, 37 |
| Fri Sept 28 |
§14.5: The Chain Rule | 14.5 – 1, 3, 5, 7, 9, 11, 13, 15, 17, 20, 21, 23, 25, 29, 31, 33, 35, 37, 39, 41, 43, 49, 57 |
| Mon Oct 1 |
§14.6: Directional Derivatives and the Gradient Vector | 14.6 – 4, 5, 6, 7, 9, 11, 13, 15, 17, 18, 19, 20, 21, 23, 26, 29, 31, 33, 35, 38, 41, 43, 45, 49, 55, 57, 59, 62 |
| Wed Oct 3 |
§14.7: Maximum and Minimum Values | 14.7 – 1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 25, 31, 33, 35, 38, 39, 41, 43, 45, 49, 51, 53 |
| Fri Oct 5 |
§14.7: Maximum and Minimum Values §14.8: Lagrange Multipliers |
14.8 – 1, 4, 6, 7, 9, 10, 12, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 37, 39, 42, 44, 46 |
| Mon Oct 8 |
§14.8: Lagrange Multipliers | Ch 14 Review: especially Concept Check and True/False |
| Wed Oct 10 |
Exam 2: Covering §13.3–§13.4, and §14.1–§14.8 | |
| Fri Oct 12 |
§15.1: Double Integrals over Rectangles §15.2: Double Integrals over General Regions |
15.1 – 1, 2, 3, 5, 9, 10, 12, 13, 15, 17, 19, 23, 25, 26, 27, 28, 20, 32, 33, 34, 35 |
| Mon Oct 15 |
§15.2: Double Integrals over General Regions §15.3: Double Integrals in Polar Coordinates |
15.2 – 1, 3, 5, 7, 9, 13, 14, 16, 17, 21, 23, 2, 29, 31, 35, 37, 39, 47, 51, 53, 57, 61, 65 15.3 – 1-4, 5, 7, 9, 11, 12, 15, 17, 18, 19, 21 |
| Wed Oct 17 |
§15.3: Double Integrals in Polar Coordinates §15.4: Applications of Double Integrals |
15.3 – 23, 24, 25, 27, 28, 29, 31, 37, 38, 39 15.4 – 1, 2, 4, 6, 7, 9, 10, 12, 13, 16 |
| Mon Oct 22 |
§15.4: Applications of Double Integrals §15.5: Surface Area |
15.5 – 1, 2, 4, 5, 7, 8, 10, 11, 14, 21, 23 |
| Wed Oct 24 |
Quiz 3 §15.5: Surface Area §15.6: Triple Integrals |
15.6 – 1, 2, 3, 4, 8, 10, 11, 14, 15, 17, 20, 21, 23, 27, 29, 31, 34, 34, 37, 39, 41, 54, 55 |
| Fri Oct 26 |
§15.6: Triple Integrals | 15.6 – 5, 7, 12, 16, 18, 22, 28, 36, 36 |
| Mon Oct 29 |
§15.7: Triple Integrals in Cylindrical Coordinates §15.8: Triple Integrals in Spherical Coordinates |
15.7 – 1, 3, 5, 7, 8, 9, 11, 12, 13, 15, 17, 19, 23, 25, 27, 29 15.8 – 1, 2, 3, 4, 5, 7, 9, 10, 11, 14, 15, 16 |
| Wed Oct 31 |
§15.8: Triple Integrals in Spherical Coordinates | 15.8 – 17, 19, 20, 21, 23, 25, 26, 28, 29, 32, 36, 41, 43, 44, 48 |
| Fri Nov 2 |
§15.9: Change of Variables in Multiple Integrals | 15.9 – 1, 2, 4, 5, 7, 8, 9, 12, 14, 15, 18, 19, 21, 22, 23, 24, 27, 28 |
| Mon Nov 5 |
§16.1: Vector Fields | 16.1 – 1, 3, 4, 8, 11-14, 21, 24, 25, 35 |
| Wed Nov 7 |
Exam 3: Covering Chapter 15 | |
| Fri Nov 9 |
§16.2: Line Integrals | 16.2 – 1, 2, 5, 6, 7, 9, 12, 14, 15, 17, 21, 29, 32, 34, 39, 41, 45 |
| Mon Nov 12 |
§16.3: The Fundamental Theorem for Line Integrals | 16.3 – 1, 3, 5, 7, 9, 10, 11, 13, 16, 17, 18, 20, 22, 23, 25, 28, 31-34, 35 |
| Wed Nov 14 |
§16.3: The Fundamental Theorem for Line Integrals | 16.3 – 4, 6, 9, 12, 15, 21, 26, 29, 30 |
| Fri Nov 16 |
§16.4: Green's Theorem | 16.4 – 1, 2, 4, 6, 8, 10, 12, 14, 17, 18, 19, 20, 21, 22, 23, 24, 27, 28, 31 |
| Mon Nov 26 |
§16.5: Curl and Divergence | 16.5 – 1, 3, 5, 6, 8, 9, 10, 11, 15, 18, 20, 22, 23, 27, 30, 31, 32, 33, 34, 39 |
| Wed Nov 28 |
Quiz 4 §16.6: Parametric Surfaces and Their Areas |
16.6 – 1, 4, 5, 6, 13-18, 19, 22, 24, 25, 26, 29, 34, 35, 37, 39, 41, 43, 46, 47, 51, 59, 61 |
| Fri Nov 30 |
§16.7: Surface Integrals | 16.7 – 6, 7, 8, 10, 13, 15, 19, 20, 21, 24, 25, 26, 28, 29, 31, 37, 39 |
| Mon Dec 3 |
§16.8: Stokes' Theorem | 16.8 – 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 14, 15, 16, 17, 18, 19 |
| Wed Dec 5 |
§16.9: The Divergence Theorem | 16.9 – 1, 2, 3, 5, 7, 9, 10, 11, 12, 13, 17, 18, 19, 23, 24, 25 |
| Tue Dec 11 |
Final Exam for Section 09: 3–5pm in SC 1120 | |
| Sat Dec 15 |
Final Exam for Section 10: 3–5pm in SC 1431 |