- Professor: Sam Hsiao
- Office: Albee 301
- Phone: ext. 7191 (from off campus dial 845-758-7191)
- Office hours: M 1:30-3:30, W 11:00-12:00, or by appointment (check my schedule)
- Email: last name at bard dot edu
- Class schedule: Tuesdays and Thursdays 10:30 - 11:50 and Fridays 10:30-11:30, RKC 102
- Textbook: James Stewart, Calculus: Concepts and Contexts, 3rd Edition
Online resources
- Visual Calculus (tutorials and lots of practice problems with solutions)
- Wolfram Integrator (for computing antiderivatives)
- Fooplot (for graphing functions)
- dfield and pplane (for drawing direction fields and phase planes)
| Date | Topics | Problem Sets | Additional Information | |
| Tu. | 9/2 | Review of Calculus I | Handout: Course information |
|
| Th. | 9/4 | 5.5, 5.8 |
5.5 (due 9/9): 2, 3, 10, 11, 12, 13, 18, 19, 21, 29, 30, 33, 45, 52, 53, 63, 66, 67. 5.8 (due 9/9): 10, 13, 14, 34 (use Wolfram's Integrator) |
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| Fr. | 9/5 | Problem Session | Problems from 5.5, 5.8. Quiz on Substitution. | Announcement: Math Help Room begins Tuesday, 9/9. Normally, it is open Sunday through Wednesday, 8-10pm, in RKC111. |
| Tu. | 9/9 | 5.6, 5.9 (only Left Endpoint, Right Endpoint, and Midpoint Rules; skip error analysis) |
5.6 (due 9/16): 1, 3, 4, 13, 16, 17, 27, 28, 42. 5.9 (due 9/16): 1(a)(b), 8 (Only use Midpoint Rule). |
|
| Th. | 9/11 | 5.9, 6.1 |
6.1 (due 9/16): 2, 3, 8, 11, 22. |
|
| Fr. | 9/12 | Problem Session | Problems from 5.6, 6.1. Quiz on Integration by Parts. | |
| Tu. | 9/16 | 6.5 (Moments and Center of Mass, pp. 476-479) |
6.5 (due 9/23): 34, 36, 37, 38, 39. |
|
| Th. | 9/18 | 6.2 |
6.2 (due 9/23): 4, 5, 6, 7, 25, 26, 27 |
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| Fr. | 9/19 | Problem Session |
Problems from 6.2, 6.5. No quiz. |
|
| Tu. | 9/23 | 1.7, 6.3, 6.4 |
6.3 (due 9/30): 2, 3, 4, 7 6.4 (due 9/30): 1, 2, 5, 6, 11, 12, 14 |
Announcement: Exam 1 is scheduled for next Friday, October 3, from 10:30-12:30 in RKC 102 |
| Th. | 9/25 | 5.10 |
5.10 (due 9/30): 3, 5, 6, 7, 8, 9, 13, 18, 23, 24 |
|
| Fr. | 9/26 | Problem Session |
Problems from 6.3, 6.4, 5.10. Quiz on 5.10. |
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| Tu. | 9/30 | Review | Handout: Information about Exam 1 | |
| Th. | 10/2 | Review | ||
| Fr. | 10/3 | Exam 1 | The exam is from 10:30 to 12:30 in RKC 102 | |
| Tu. | 10/7 | Approximating Functions: Taylor Polynomials (handout) | Homework on Taylor polynomials (due Thursday, 10/16): Compute the Taylor polynomials of degrees 0 through 5 for each of the following functions at the specified value of c. (1) f(x) = sin(x) at c=0; (2) f(x)=cos(x) at c=0; (3) f(x)=ln(x) at c=1; (4) f(x)=e^x at c=0; (5) f(x)=x^(1/2) at c=1. | Handout: In class I handed out photocopies of a section from a different calculus book on the topic of approximating functions. |
| Th. | 10/9 | 8.1, 8.2 |
8.1 (due Thursday, 10/16) 2, 3, 9, 10, 11, 12, 13, 24 8.2 (due Tuesday, 10/21) 1, 2, 3, 11, 12, 13, 14, 15, 16 |
|
| Fr. | 10/10 | Problem Session |
Taylor polynomials and sequences |
|
| Tu. | 10/14 | Fall break | ||
| Th. | 10/16 | 8.2 |
8.2 (due Tuesday, 10/21) 1, 2, 3, 11, 12, 13, 14, 15, 16 |
|
| Fr. | 10/17 | Problem Session | Geometric series | |
| Tu. | 10/21 | 8.4 |
8.4 (due Tuesday, 10/27) 2, 12, 19, 20, 21, 22, 24, 25, 28 |
|
| Th. | 10/23 | 8.5 |
8.5 (due Tuesday, 10/27) 3 - 18 (turn in all of them, but you will only be graded on even ones. You should find the radius of convergence for each power series, and state what the endponts of the interval of convergence are. You should try to determine whether the series converges at each endpoint. In some cases, you will not be able to show convergence or divergence using only the methods we have covered, but you should at least make an effort, and leave that part of the question unanswered if you get stuck) |
|
| Fr. | 10/24 | Problem Session |
Problems from 8.4 and 8.5 |
|
| Tu. | 10/28 | 8.6 |
8.6 (due Friday, 10/31) 3 - 10 (turn in all of them, but you will only be graded on even ones) |
|
| Th. | 10/30 | 8.7 |
8.7 (due Tuesday, 11/4): 7, 15, 23, 27, 33, 35, 37 (I will not collect this homework, but you should come to class prepared to discuss the problems; if you want feedback on your work, feel free to hand in the problems and I will provide corrections and return it to you on Thursday) |
|
| Fr. | 10/31 | Problem Session | Problems from 8.6, 8.7. |
Announcement: Exam 2 is scheduled for next Friday, November 7, from 10:30-12:30 in RKC 102 Handouts: |
| Tu. | 11/4 | Review | ||
| Th. | 11/6 | Review | ||
| Fr.. | 11/7 | Exam 2 | The exam is from 10:30 to 12:30 in RKC 102 | |
| Tu. | 11/11 | 8.9, 7.1 |
7.1 (due Tuesday, 11/18): 2, 5, 6, 8, 12, 14 |
|
| Th. | 11/13 | 7.1, 7.2 |
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|
| Fr. | 11/14 | Problem Session |
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|
| Tu. | 11/18 | 7.2 |
7.2 (due Tuesday 11/25): 12 (draw by hand), 16 (use dfield -- see link above), 18, 22, 28 |
|
| Th. | 11/20 | 7.2, 7.3 |
7.3 (due Tuesday 11/25): 4, 10, 18, 22, 28, 34, 35
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|
| Fr. | 11/21 | Problem session |
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|
| Tu. | 11/25 | 7.3, 7.4 |
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| Tu. | 12/2 | 7.4 |
7.4 (due Tuesday 12/9): 1, 4, 6, 8, 11, 13, 19, 20(a), 22 |
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| Th. | 12/4 | 7.5 |
7.5 (due Tuesday 12/9): 1, 5, 6, 11, 13(a)(b) |
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| Fr. | 12/5 | Problem session |
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|
| Tu. | 12/9 | 7.6 |
7.6 (due Tuesday 12/16): 1, 2, 4, 6, 8, 9 |
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| Th. | 12/11 | 7.6 | Exam 3 is scheduled for Friday, December 19 from 10:30am-12:30pm in RKC 102. |