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: MW 4:00-5:20pm Engineering 145
TAs: Yoonjoo Kim, office hours TuTh 4:30-5:30 at Math Tower S-240A Jae Ho Cho, office hours F 9-10 am at Math Tower S-240A
This is the second lecture session of a joint course. The first lecture given by Adrian Brunyate meets MWF 10:00am-10:53am in Harriman Hall 137.MAT 132 covers symbolic and numeric methods of integration, area under a curve, volume, applications such as work and probability, improper integrals and l'Hospital's rule, complex numbers, sequences, series, Taylor series, differential equations, and modelling.
Text: Single Variable Calculus Stony Brook Edition 4 by James Stewart. The textbook comes with an access code for Webassign, which you will need to complete the weekly homework assignments. Information regarding the textbook and pricing is available here.
A link to BlackBoard . You will need a NETID and password to access this.
Homework 15%, Midterm I 25%, Midterm II 25%, Final Exam 35%
| Mon 1/22 | 1. | Review 5.1, Areas | HW 5.1 # 4, 18, 20, 22 |
| Wed 1/24 | 2. | Review 5.2, Definite integrals | HW 5.2 # 18, 21, 28, 32, 34, 48 |
| Mon 1/29 | 3. | Review 5.3, Evaluating integrals | HW 5.3 # 6, 14, 22, 46, 50, 60, 76 |
| Wed 1/31 | 4. | Review 5.4, Fundamental theorem of calculus | HW 5.4 # 8, 14, 16, 20, 25 |
| Mon 2/5 | 5. | 5.5, Integration by substitution | HW 5.5 # 8, 14, 17, 22, 36, 48, 52, 62 |
| Wed 2/7 | 6. | 5.6, Integration by parts | HW 5.6 # 5, 6, 9, 11, 12 |
| Mon 2/12 | 7. | 5.7, Partial fractions, trig substitution | HW 5.7 # 3, 19, 20, 25, 31 |
| Wed 2/14 | 8. | 5.10, Improper integrals | HW 5.10 # 7, 14, 20, 26, 34, 64 |
| Mon 2/19 | 9. | 6.1, Areas | HW 6.1 # 7, 17, 26, 29, 32, 40 |
| Wed 2/21 | 10. | 6.2, Volumes | HW 6.2 # 2, 16, 26, 31, 32, 42 |
| Wed 2/21 | Midterm I, 8:45pm | ||
| Mon 2/26 | 11. | 6.3, Cylindrical shells | HW 6.3 # 6, 11, 13, 17 |
| Wed 2/28 | 12. | 6.4, Arc length | HW 6.4 # 5, 7, 15, 29 |
| Mon 3/5 | 13. | 6.5, Average values | HW 6.5 # 5, 6, 10, 15 |
| Wed 3/7 | 14. | 6.6, Work, pressure, center of mass | HW 6.6 # 6, 14, 17, 27, 42 |
| Mon 3/12 | No class - Spring break | ||
| Wed 3/14 | No class - Spring break | ||
| Mon 3/19 | 15. | 6.7, Consumer surplus and biology applications | HW 6.7 # 5, 7, 17 |
| Wed 3/21 | 16. | 6.8, Probability, average values | HW 6.8 # 5, 9, 13, 17 |
| Mon 3/26 | 17. | 7.1, 7.2 Differential equations, direction fields | HW 7.1 # 6, 11, 7.2 # 1, 3, 7, 21 |
| Wed 3/28 | 18. | 7.3, Separable equations | HW 7.3 # 3, 6, 10, 11, 16, 22, 35, 42 |
| Wed 3/28 | Midterm II, 8:45 pm | ||
| Mon 4/2 | 19. | 7.4, Exponential growth and decay | HW 7.4 # 1, 9, 11, 13, 17 |
| Wed 4/4 | 20. | 7.5, 7.6 Logistic equation and predator prey model | HW 7.5 # 3, 10, 18, 7.6 # 2, 5 |
| Mon 4/9 | 21. | 8.1, Sequences | HW 8.1 # 8, 10, 12, 14, 18, 28, 32, 48 |
| Wed 4/11 | 22. | 8.2, Series | HW 8.2 # 12, 14, 32, 42, 53, 57 |
| Mon 4/16 | 23. | 8.3, Integral and comparison tests | HW 8.3 # 4, 6, 8, 10, 14, 17, 30 |
| Wed 4/18 | 24. | 8.4, Convergence tests | HW 8.4 # 3, 8, 22, 23, 25, 36 |
| Mon 4/23 | 25. | 8.5, Power series | HW 8.5 # 4, 6, 8, 10, 13, 18, 24, 32 |
| Wed 4/25 | 26. | 8.6, Differentiation and integration of power series | HW 8.6 # 4, 6, 8, 15, 24 |
| Mon 4/30 | 27. | 8.7, Taylor, Maclaurin series | HW 8.7 # 4, 6, 8, 10, 24, 28, 30, 44, 58, 62, 64, 66 |
| Wed 5/2 | 28. | 8.8, Applications of Taylor series | HW 8.8 # 4, 6, 13, 15, 31 |
QPS requirement: This course meets Stony Brook's Quantitative Problem Solving (QPS) requirement. Throughout the course you should gauge your ability to:
1. Interpret and draw inferences from mathematical models such as formulas, graphs, tables, or schematics.
2. Represent mathematical information symbolically, visually, numerically, and verbally.
3. Employ quantitative methods such as algebra, geometry, calculus, or statistics to solve problems.
4. Estimate and check mathematical results for reasonableness.
5. Recognize the limits of mathematical and statistical methods.
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