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Textbook
- University Calculus by Hass, Weir, and Thomas. This is the book used in Math 241 and Math 242.
Homework:
- Hw 1 (with solutions) (assigned on Thursday August 24th, due on Thursday September 21st).
- Hw 2 (with solutions) (assigned on Thursday October 5th, due on Thursday November 9th)Instructions: Print out the homework, write down the solutions on it and staple it before you turn it in. Make sure that your solutions are correct, nicely written and well explained. Show you work, write each step of your reasonings. I will probably grade only 4 out of the 8 problems of the homework. However, I will mark off points for every skipped problem.
- Hw 3 (with solutions) 3 (assigned on Thursday November 23rd, due on Thursday December 7th). Instructions: Print out the homework, write down the solutions on it and staple it before you turn it in. Make sure that your solutions are correct, nicely written and well explained. Show you work, write each step of your reasonings. I will probably grade only 5 out of the 10 problems of the homework. However, I will mark off points for every skipped problem.
Quizzes:
- Quiz 1 (Thursday August 31st): polar coordinates and relation with rectangular coordinates, symmetries of function in polar coordinates (sections 10.1, 10.2), solution
- Quiz 2 (Thursday September 7th): Graphs in polar coordinates, Areas in polar coordinates, Length of a polar curve (sections 10.2, 10.3), solution
- Quiz 3 (Thursday September 14th): 3D coordinate systems, distance and spheres in 3D-space, component form of vectors, unit vectors, magnitude of vectors, midpoint of a line segment (sections 11.1, 11.2), solution
- Quiz 4 (Thursday October 5th): Parametric equations for lines in space, distance between a point and a line in space, equations for planes in space, distance from a point to a line in space. line of intersection of planes in space, angles between planes in space. (section 11.5) solution
- Quiz 5 (Thursday October 12th): vector functions, derivatives of vector functions, velocity vectors, tangent lines to graphs of vector functions, acceleration vectors (section 12.1), solution
- Quiz 6 (Thursday October 19th): Integrals of vector functions, Ideal projectile motion (section 12.2), arc length formula, arc length parameter with a chosen base point, unit tangent vector (section 12.3), solution
- Quiz 7 (Thursday October 26th): Unit tangent vectors, Principal normal unit tangent vectors, curvature, circles of curvature (section 12.4), solution
- Quiz 8 (Thursday November 2nd): Domain and range of multivariable functions (beginning section 13.1), solution
- Quiz 9 (Thursday November 30th): Chain rule for functions of several variables (section 13.4), solution
Suggested Problems:
- section 10.1: 1, 3, 5, 8, 11, 13, 19, 23, 25, 29, 30, 33, 39, 51, 53, 59
- section 10.2: 1, 3, 5, 13, 15, 19, 21, 23
- section 10.3: 1, 3, 5, 9, 13, 19, 21, 23, solutions for 21, 23
- section 11.1: 3, 5, 9, 13, 15, 19, 21, 25, 29, 31, 37, 43, 51
- section 11.2: 5, 7, 9, 13, 19, 25, 31, 37, 43, 45
- section 11.3: 3, 5, 7, 9, 13, 23
- section 11.3: 3, 5, 7, 9, 13, 23
- section 11.4: 1, 3, 4, 5, 7, 9, 15, 23, 27, 31, 37, 39
- section 11.5: 3, 7, 9, 17, 25, 27, 33, 41, 47, 59,
- section 12.1: 3, 5, 7, 11, 13, 17, 21, 23
- section 12.2: 3, 5, 7, 9, 11, 13, 17, 21
- section 12.3: 1, 3, 7, 9, 13, 15
- section 12.4: 1,3, 7, 9, 11. 13, 17,
- section 12.5: 1,3, 5, 9, 11, 13, 15 (don't calculate the torsion in 9, 11, 13, 15), 17
- section 13.1: 1,3, 5, 7, 9, 11, 19, 21, 23, 27, 29, 33, 41
- section 13.2: 1, 3, 5, 7, 9, 11, 15, 17, 21, 25, 27, 29, 31, 33
- section 13.3: 1, 3,7, 9, 11, 13, 15, 25, 27, 29, 35, 41, 43, 45
- section 13.4: 1, 3, 5, 7, 11, 29, 31, 35
- section 13.5: 1, 3, 5, 7, 9, 13, 17, 19, 23, 25, 27, 29, 31
- section 13.6: 1, 3, 5, 9, 11, 13, 15, 17, 21, 25, 27, 31, 33, 39, 41
- section 13.7: 1, 3, 9, 15, 17, 23, 27, 29, 33, 35
- section 13.8: 1, 3, 5, 11, 13, 17, 23, 25,
Exams:
- Exam 1 (Thursday, September 28th): Section 10.1, 10.2, 10.3, 11.1, 11.2, 11.3, 11.4. No calculator. No cheat sheet. study guide, solution
- Exam 2 (Thursday, November 16th) : 11.5, 12.1, 12.2, 12.3, 12.4, 12.5, No calculator. No cheat sheet. study guide, solution
Final:
- Tuesday December 12th 9:45am-11:45am
- Program: sections 10.2, 10.3, 11.5, 12.2, 12.3, 13.1, 13.2, 13.4, 13.5, 13.6, 13.7, 13.8. No calculator. One cheat sheet allowed (handwritten, maximum size US Letter, you can write on both sides), study guide
Schedule
tr>
| Date | Section Covered | Problems Solved |
|---|
| 24 August | 10.1 | 6, 10, 24, 32, 54 p 573 |
| 26 August | 10.2 | Example 1 p 575 |
| 29 August | End 10.2, Beginning 10.3 | 6, 14 p 577, 11 p581 |
| 31 August | 10.3 | 7, 17,18 p581/582 |
| 5 September | 11.1 | 3 p 581, 2, 6, 16, 17b, 42, 50 p 609/610 |
| 7 September | 11.2 | 28 p 610, 2, 16, 36 p 618/619 |
| 12 September | 11.3 | 47 p 619, 4 p 626 |
| 14 September | 11.4 | 39 p 626 |
| 19 September | 11.4, beginning 11.5 | 2, 16, 30 p 633/634, 4 p 642 |
| 21 September | 11.5 | 16, 24, 36, 42, 57p642/643 |
| 26 September | 12.1 | 48 p 642, 2 p662 |
| 3 October | 12.1 | 10, 16, 20, 32 p 662/663 |
| 5 October | 12.2 | 2, 10, 29 p 668--670 |
| 10 October | End 12.2, Beginning 12.3 | 15, 18, 19 p668/669, 9 p 674 |
| 12 October | End 12.3 | 4, 12 p 673--674 |
| 17 October | 12.4 | 4 p 679 |
| 19 October | End 12.4 | 10, 21 p 680 |
| 24 October | End 12.5 | 6, 10 p 685 |
| 26 October | 12.6, beginning 13.1 | 6, 10 p 685 |
| 31 October | 13.1 | 20p 685 |
| 2 November | End 13.1, 13.2 | 6, 30 p700/702, 27b), 28a) p 709 |
| 7 November | 13.3 | 4, 6, 16, 26, 44, 50 p 720/721 |
| 9 November | 13.4, beginning 13.5 | 2, 6, 9 p 729 |
| 14 November | 13.5 | 4, 10, 18 p 738/739 |
| 21 November | End 13.5, Beginning 13.6 | 22, 24 p 738/739, 4, 10, 14 p 746 |
| 28 November | End 13.6, Beginning 13.7 | 20, 26, 38 p 746/747, 2 p 755 |
| 30 November | Beginning 13.7 | 18, 27, 31 p 755 |
| 5 December | 13.8 | 9, 24, 15 p 766 | | 7 December | End 13.8, 13.9 | 36 p 766 |
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