Send the lecturer (R. Hough) email at:
Office: 4-118 Mathematics Building
Office hours: 9-10am, Tuesday and Thursday in 4-118, 6-7pm Wednesday in MLC.
Lectures: MWF 10:00-10:53pm Library W4550
TAs: Pranav Upadrashta, office hours M 2:30-3:30pm at Math Tower S-240A, M 3:30pm-4:30pm and Th 4:00-5:00pm in the Math Learning Center Jae Ho Cho, office hours Th 11:00am-12:00pm at Math Tower 2-109
This is the second lecture section of MAT 203 this term. Robert Andersen is also teaching MAT 203 in the same room MW 4:00pm-5:20pm. The two courses are separate, but approximately coordinated. The exams and homework are different, so it is important that you attend the correct lecture.MAT 203 covers vector algebra in two and three dimensions, multivariate differential and integral calculus, optimization, vector calculus including the theorems of Green, Gauss, and Stokes. Applications are given to economics, engineering, and all sciences, with emphasis on numerical and graphical solutions.
Text: Multivariable calculus by Ron Larson and Bruce Edwards. The textbook comes with an access code for Webassign, which you will need to complete the weekly homework assignments.
A link to BlackBoard . You will need a NETID and password to access this.
Homework 20%, Midterm I 25%, Midterm II 25%, Final Exam 30%
| Lecture date | Section | Homework problems from the section | |
| Mon 1/28 | 1. | 11.1 Vectors in the plane | 5, 29, 38, 40, 43, 46, 52, 64, 72, 78, 82 |
| Wed 1/30 | 2. | 11.2 Space coordinates | 24, 32, 36, 38, 45, 57, 65, 72, 103 |
| Fri 2/1 | 3. | 11.3 The dot product | 12, 21, 29, 42, 53, 59 |
| Mon 2/4 | 4. | 11.4 The cross product | 8, 12, 16, 22, 27, 30, 32, 36 |
| Wed 2/6 | 5. | 11.5 Lines and planes | 9, 18, 22, 25, 33, 38, 61, 66, 88, 93, 100, 108 |
| Fri 2/8 | 6. | 11.6 Surfaces in space | 6, 13, 17, 19, 21, 32, 34, 42, 45 |
| Mon 2/11 | 7. | 11.7 Cylindrical and spherical coordinates | 4, 12, 17, 20, 25, 38, 44, 50, 51, 56, 60, 75 |
| Wed 2/13 | 8. | 12.1 Vector valued functions | 10, 13, 22, 27, 31, 49, 53, 57 |
| Fri 2/15 | 9. | 12.2 Differentiation and integration of vector valued functions | 5, 11, 14, 20, 23, 25, 36, 52, 54, 75 |
| Mon 2/18 | 10. | 12.3 Velocity and acceleration | 3, 8, 14, 23, 28, 36, 42, 50 |
| Wed 2/20 | 11. | 12.4 Tangent vectors and normal vectors | 3, 5, 11, 14, 18, 20, 25, 27, 31, 37, 41, 49, 52, 62 |
| Fri 2/22 | 12. | 12.5 Arc length | 3, 9, 15, 20, 23, 32, 40, 46, 67 |
| Mon 2/25 | Midterm I, in class | ||
| Wed 2/27 | 13. | 13.1 Functions of several variables | 7, 15, 21, 45, 46, 51, 67, 76 |
| Fri 3/1 | 14. | 13.2 Limits and continuity | 11, 16, 19, 23, 31, 36, 41, 48, 55, 66, 78 |
| Mon 3/4 | 15. | 13.3 Partial derivatives | 11, 19, 38, 43, 52, 56, 84, 109 |
| Wed 3/6 | 16. | 13.4 Differentials | 5, 11, 20, 28, 31, 34 |
| Fri 3/8 | 17. | 13.5 Chain rule for functions of several variables | 3, 5, 14, 15, 17, 24, 28, 35, 50 |
| Mon 3/11 | 18. | 13.6 Directional derivatives and gradients | 3, 7, 11, 15, 22, 39, 42, 47, 61 |
| Wed 3/13 | 19. | 13.7 Tangent planes and normal lines | 6, 10, 12, 19, 21, 29, 41, 45, 46 |
| Fri 3/15 | 20. | 13.8 Extrema of functions of two variables | 3, 7, 18, 20, 21, 24, 28, 34 |
| Mon 3/18-Fri 3/22 | Spring break | ||
| Mon 3/25 | 21. | 13.9 Applications of extrema | 3, 7, 8, 10, 24, 26, 36 |
| Wed 3/27 | 22. | 13.10 Lagrange multipliers | 5, 7, 10, 12, 15, 21, 24, 31, 47 |
| Fri 3/29 | 23. | 14.1 Iterated integrals and area | 6, 8, 13, 18, 19, 22, 23, 27, 30, 43, 57, 61, 64, 65 |
| Mon 4/1 | 24. | 14.2 Double integrals | 5, 7, 8, 10, 13, 17, 26, 31, 53, 63, 72 |
| Wed 4/3 | 25. | 14.3 Change of variables, polar coordinates | 8, 9, 14, 17, 28, 29, 36, 43, 47, 67 |
| Fri 4/5 | 26. | 14.4 Center of mass and moment of inertia | 4, 9, 14, 15, 23, 35, 44 |
| Mon 4/8 | Midterm II, in class | ||
| Wed 4/10 | 27. | 14.5 Surface area | 5, 7, 12, 18, 20, 33, 35 |
| Fri 4/12 | 28. | 14.6 Triple integrals and applications | 5, 8, 9, 15, 22, 25, 31, 38, 51, 56, 59, 64 |
| Mon 4/15 | 29. | 14.7 Triple integrals in other coordinates | 4, 6, 12, 16, 18, 27, 33, 36, 38 |
| Wed 4/17 | 30. | 14.8 Change of variables, Jacobians | 4, 9, 13, 17, 24, 29, 31 |
| Fri 4/19 | 31. | 15.1 Vector fields | 5, 9, 15, 19, 24, 28, 36, 39, 44, 49, 50, 60, 63, 69 |
| Mon 4/22 | 32. | 15.2 Line integrals | 4, 12, 14, 17, 19, 27, 30, 36, 44, 45, 55, 60, 70 |
| Wed 4/24 | 33. | 15.3 Conservative vector fields | 1, 6, 13, 16, 20, 24, 26, 31, 33, 45 |
| Fri 4/16 | 34. | 15.4 Green's Theorem | 4, 12, 16, 18, 22, 28, 37, 41, 44 |
| Mon 4/29 | 35. | 15.5 Parametric surfaces | 4, 7, 10, 21, 24, 32, 36, 40, 42, 55 |
| Wed 5/1 | 36. | 15.6 Surface integrals | 6, 10, 14, 18, 22, 27, 28, 32, 36, 38 |
| Fri 5/3 | 37. | 15.7 Divergence Theorem | 6, 10, 12, 15, 16, 17, 18 |
| Mon 5/6 | 38. | 15.8 Stoke's Theorem | 4, 6, 7, 10, 12, 14, 16, 18 |
| Wed 5/8 | 39. | 15.8 Stoke's Theorem | |
| Fri 5/10 | 40. | Review |
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