Math 152 - Suggested Problems and Syllabus
- TEXTBOOK: James Stewart, Calculus (Early Transcendentals) 5e., Brooks/Cole Publishing Co.
- This edition of the textbook differs in important ways from previous editions. Unfortunately the older editions won't always have the same problems, so they won't work for this course.
- CALCULATOR: A graphing calculator is required for this course. We have traditionally used the TI-82 or 83 and recommend either of them, but any calculator with equivalent capacities can be used, such as the popular TI-85 or 86. Calculators will not be permitted on final exams.
CAUTION: Your schedule
may vary. There are many sections of Math 152. The order in which topics are
covered, the rate at which they are covered, the precise times of examinations,
and the assigned exercises will vary from section to section. The
"schedule" below therefore may not be followed exactly in your
section. Your first exam, for example, might occur in the 10th or any other
lecture period, as announced by your instructor. Likewise the exercises listed
below are only suggestions. As a student in Math 152, your assignments and
obligations will be set and announced by your individual instructors, and you
will find them out only by attending your own class. Lectures are held twice
each week. There is an additional workshop each week, and certain sections have
an additional practicum session each week.
| Lecture | Sections | Topics | Suggested Problems |
|---|---|---|---|
| 1 | 6.1, 6.2 | Areas (review), volumes | 6.2: 3, 6, 7, 9, 12, 17, 26, 28, 54, 55 |
| 2 | 6.3 | Volumes | 6.3: 1, 4, 39, 40, 45 |
| 3 | 6.4, 6.5 | Work, average values | 6.4: 7, 8, 13, 15, 19, 23 6.5: 2, 5, 9, 19 |
| 4 | 7.1 | Integration by parts | 7.1: 3, 8, 10, 13, 15, 20, 21, 41, 42, 45, 56, 62 |
| 5 | 7.2, 7.3 | Trigonometric integrals, trigonometric substitution | 7.2: 2, 7, 19, 23, 24, 59, 64 7.3: 7, 12, 13, 16, 20, 40 |
| 6 | 7.4, 7.5 | Partial fractions, integration strategies | 7.4: 1, 3, 5, 9, 15, 16, 20, 28, 45, 48, 60 7.5: 1, 4, 8, 9, 19, 22, 29, 57, 74 |
| 7 | 7.7 | Approximations for integrals | 7.7: 1, 7, 8, 9, 20, 22, 30, 31, 42 |
| 8 | 7.8 | Improper integrals | 7.8: 2, 3, 5, 6, 7, 19, 24, 49, 54, 58 |
| 9 | 8.1, 8.2 | Arc length, surface area | 8.1: 3, 8, 11, 34 8.2: 1, 4, 5, 6, 14, 31 |
| 10 | 9.1, 9.2, 9.3 | Differential equations, direction fields (not Euler's method), separable equations | 9.1: 1, 3, 4, 6, 9, 10 9.2: 1, 3, 4, 5, 6, 9, 11 |
| 11 | | Catch up and review | |
| 12 | | First exam | |
| 13 | 9.3, 9.4 | Separable equations; exponential growth | 9.3: 1, 4, 19, 20, 21, 37, 39 9.4: 3, 4, 5, 9, 10, 14 |
| 14 | 11.1, 11.2 | Sequences, series | 11.1: 2, 5, 6, 12, 13, 15, 18, 21, 26, 32, 34, 45, 46, 61,64 11.2: 11, 14, 17, 18, 21, 22, 27, 38, 41, 44, 49 |
| 15 | 11.3 | Integral test, estimates | 11.3: 3, 7, 9, 13, 16, 21, 28, 31, 34 |
| 16 | 11.4 | Comparison tests | 11.4: 3, 4, 5, 6, 9, 17, 18, 20, 23, 26, 33, 36 |
| 17 | 11.5, 11.6 | Alternating series, Absolute convergence | 11.5: 3, 6, 7, 12, 17, 22, 28, 31 11.6: 2, 3, 5, 6, 9, 17, 18, 23, 29, 30, 32 |
| 18 | 11.6, 11.7 | Ratio and root tests, strategies | 11.7: 1, 4, 5, 13, 16, 20, 21, 33 |
| 19 | 11.8 | Power series | 11.8: 6, 7, 16, 20, 25, 28, 30, 39 |
| 20 | 11.9 | Representation of functions by power series | 11.9: 3, 4, 5, 6, 13, 14, 23, 27, 37 |
| 21 | 11.10 | Taylor and Maclaurin series | 11.10: 4, 5, 11, 15, 23, 24, 27, 28, 39, 42, 43, 47, 48, 51, 54 |
| 22 | 11.10, 11.11 | More Taylor and Maclaurin series; binomial series | 11.11: 11, 14 |
| 23 | | Catch up and review | |
| 24 | | Second exam | |
| 25 | 11.12 | Applications of Taylor series | 11.12: 13, 14, 17, 20, 25, 26, 27, 28, 29 |
| 26 | 10.1, 10.2, 10.3 | Parametric equations, tangent lines, arc length & Polar Coordinates | 10.1: 7, 10, 13, 15, 19, 24abc, 39 10.2: 3, 6, 9, 17, 25, 26, 39, 41, 44, 52, 53, 57, 61 10.3: 2, 3, 7, 10, 18, 41, 44, 59, 63 |
| 27 | 10.4 | Areas and length in polar coordinates | 10.4: 5, 10, 14, 21, 23, 28, 45 |
| 28 | | Catch up and review for final exam | |
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