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. There will also be workshop writeups. There may be quizzes, at the discretion of the lecturer.
The exact timing and coverage of exams during the semester will be announced by each lecturer, as will homework assignments. 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 some sections may have an additional practicum session each week.
The final exam for this course will be given on Thursday, May 7, 2015 from 4:00 pm to 7:00 pm. The final exam locations will be announced in April. Your final exam location may not be the same as the room where you have your lectures. All sections take the same final examination. Earlier in-class exams (Exam 1 and Exam 2) are written by each lecturer.
The standard grading scheme for Math 152 is as follows:
The final exam is worth 200 points. Each hour exam
is worth 100 points. The workshop writeups count for 75 points.
A combination of quizzes and textbook homework gives 50 points.
Adding this up, we get a maximum of 525 points that a student
can get in the course. The course grade is determined by
the number of points the student got out of 525. Individual
lecturers may have slightly different numbers of points
for workshops, quizzes and textbook homework. Check with
your instructor.
As you can see in the table below, the first lecture includes a brief review of Math 151 (Calculus I). In order to review Math 151, you can try the following problems from the review sections at the end of the first six chapters of the textbook:
Chapter 1: 21, 23, 43, 47, 49.
Chapter 2: 21, 31, 43, 47, 55, 61, 71.
Chapter 3: 7, 53, 57, 69, 75, 93, 103, 113, 119, 121.
Chapter 4: 11, 23, 39, 52, 63, 68, 75, 87, 97, 105.
Chapter 5: 9, 25, 33, 41, 55, 69, 75, 91, 99.
Chapter 6: 6, 9, 11.
The recommended exercises that are listed in boldface
are NOT solely computational
and serve to check basic theoretical understanding.
The recommended exercises that are listed in ordinary font
are straightforward calculations and are intended for
daily practice. Optional sections are in parentheses
(for example, 7.7 in lecture 8) and will be covered at the
discretion of your lecturer. These optional sections in
parentheses will not appear on the common final exam.
| Lecture | Sections | Topics | Recommended exercises |
|---|---|---|---|
| 1 | 6.1 | Review of Math 151 and areas between curves | 6.1: 1, 5, 6, 7, 8, 9, 16, 28, 31, 34, 37; 20, 23, 24, 46, 61 |
| 2 | 6.2, 6.3 | Volumes, average value | 6.2: 5, 9, 13, 14, 15, 17, 28, 29, 35, 43;
56, 61, 62 6.3: 9, 13, 15, 24, 25, 27-36, 43, 45, 49, 50; 53, 56 |
| 3 | 6.4, (6.5) | Cylindrical shells (work) | 6.4; 11, 12, 17, 18, 27, 33-44, 49, 50;
56, 57 (6.5: 9, 10, 15, 17, 21, 29, 34; 35, 37, 41, 42, 43) |
| 4 | 7.1 | Integration by parts | 7.1: 9, 10, 14, 18, 19, 23, 26, 28, 31, 34, 36, 43, 47, 50, 54; 37, 57, 58, 67, 68, 71, 76, 81 |
| 5 | 7.2 | Trigonometric integrals | 7.2: 8, 11, 17, 18, 20, 21, 27, 30, 34, 42, 43, 44, 46; 51, 56, 61, 63, 71, 72, 73 |
| 6 | 7.3 | Trigonometric substitution | 7.3: 11, 14, 17, 20, 22, 23, 29, 32, 33; 35, 38, 54, 55, 57, 58, 59, 60, 61 |
| 7 | 7.4, 7.5 | Hyperbolic integrands, partial fractions | 7.4: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16;
41, 42, 43 7.5: 1, 7, 12, 14, 16, 25, 30, 36, 37, 41; 46, 47, 48, 49, 57, 59, 60, 66, 69 |
| 8 | 7.6 (7.7) | Improper integrals (Probability and integration) | 7.6: 7, 11, 12, 14, 19, 26, 27, 31, 32, 38, 39;
43, 44, 46, 51, 53, 56, 58, 63, 66, 80, 81, 82, 85 (7.7: 3, 8, 10, 13, 17; 22, 24, 25) |
| 9 | 7.8 | Numerical integration and review for Exam 1 | 7.8: 7, 10, 15, 24, 25, 26, 31, 35, 36; 52, 53, 59 |
| 10 | Exam 1 | Exam in the lecture room during the lecture period | |
| 11 | 8.4 | Taylor polynomials | 8.4: 8, 11, 14, 15, 17, 18, 21, 22, 24, 28, 31; 49, 50, 51, 53, 55, 57, 64 |
| 12 | 10.1, 10.2 | Sequences and infinite series | 10.1: 10, 13, 18, 19, 24, 26, 33, 39, 40, 41, 45, 50, 59, 62,
65, 68;
73, 75, 76, 83, 85 10.2 1b, 2c, 6, 12, 14, 17, 22, 25, 28, 30, 31, 35, 40; 41, 42, 45, 48 |
| 13 | 10.3 | Convergence of series with positive terms | 10.3: 5,9, 10, 12, 13, 17, 20, 21, 25, 26, 30, 41, 43, 46; 52, 55, 57, 59, 64, 67, 69, 73, 79, 80 |
| 14 | 10.4 | Absolute and conditional convergence | 10.4: 6, 7, 13, 19, 20, 22, 25, 28, 29, 33; 37, 39, 44 |
| 15 | 10.5 | Ratio and root tests | 10.5: 2, 7, 10, 15, 19, 37, 38, 41, 44, 45, 48, 50, 52, 54; 22, 24, 25, 26, 28, 31, 32, 33, 59 |
| 16 | 10.6 | Power series | 10.6: 3, 6, 10, 11, 15, 18, 22, 25, 27, 30, 33, 34, 37, 38, 40; 41, 44, 48, 51, 52, 55, 60, 61 |
| 17 | 10.7 | Taylor series | 10.7: 7, 10, 13, 15, 18, 19, 23, 30, 33, 38, 40, 42, 52, 54, 57; 39, 41, 60, 69, 80, 88, 89 |
| 18 | 8.1 (8.2, 8.3) | Arclength and surface area. (Applications to Physics: Fluid pressure, force, center of mass) |
8.1: 4, 9, 10, 14, 15, 19, 20, 23, 26, 30, 36, 37, 40, 45;
16, 22, 25, 29, 39, 46, 48 (8.2: 2, 3, 7, 12; 13, 19, 22) (8.3: 3, 4, 5, 8, 14, 18, 25, 26, 29, 35; 19, 33, 38, 39, 44) |
| 19 | 11.1 | Parametric equations | 11.1: 6, 8, 13, 14, 17, 19, 20, 22, 25, 32, 37, 41, 43, 45, 51, 54, 62, 69, 83; 18, 44, 63, 64, 74, 78, 79, 93 |
| 20 | 11.2 | Arclength and speed. Review and catch up |
11.2: 5, 8, 12, 13, 19, 21, 23, 27, 29, 30; 11, 22, 28, 31 |
| 21 | Exam 2 | Exam in the lecture room during the lecture period | |
| 22 | 11.3 | Polar coordinates | 11.3: 3, 5, 7, 8, 14, 15, 19, 22, 23, 24, 27, 28, 38, 41, 48, 50; 25, 29, 30, 35, 45, 47, 49 |
| 23 | 11.4 (11.5) | Area and arclength in polar coordinates (Conic sections) |
11.4: 2, 3, 7, 8, 10, 13, 14, 18, 24, 28, 31;
11, 22, 27, 30
(11.5: 6, 8, 13, 18, 23, 26, 29, 35, 41, 44, 52, 55; 36, 45, 47, 49, 62, 63) |
| 24 | 12.7 | Cylindrical and spherical coordinates | 12.7: 2, 9, 13, 14, 19, 20, 27, 31, 39, 44, 45, 49, 50, 55, 56, 63, 67; 15, 16, 22, 51, 59, 60, 62, 73, 74 |
| 25 | 9.1 | Solving differential equations | 9.1: 5, 6, 10, 12, 20, 25, 27, 28, 33, 37, 38, 42, 43; 45, 46, 47, 50, 53, 56, 57, 59, 62, 65, 66 |
| 26 | 9.2, (9.3, 9.4, 9.5) | Models involving y'=k(y-b). (Graphical/numerical methods, logistic equation, first order linear equations) |
9.2: 3, 5, 8, 12, 15, 17, 21;
22, 25, 26, 29 (9.3: 2, 5, 6, 9, 12, 15, 18; 21, 27) (9.4: 4, 5, 11, 12, 15; 16, 17, 18) (9.5: 3, 7, 16, 25, 26, 29, 32; 27, 28, 35, 38) |
| 27 | Review | Review and catch up | |
| 28 | Review | Review |
This material is posted by the faculty of the Mathematics Department at Rutgers New Brunswick for informational purposes. While we try to maintain it, information may not be current or may not apply to individual sections. The authority for content, textbook, syllabus, and grading policy lies with the course coordinator for the current term.
Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters.