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 homework exercises may vary from section to section.
Some lecturers choose to give short quizzes to test your mastery of the material; quizzes may be announced or unannounced, and may/may not allow calculators, at the discretion of your instructor or TA.
There will also be workshop write-ups. Please consult the
Workshops Page for further information.
The exact timing and coverage of exams during the semester will be announced by each lecturer, as will the homeworks/quizzes. The timeline and problems listed below are suggestions. Optional sections are in
parentheses (e.g. Section 6.5) and will be covered at the discretion of
your instructor and your TA. The optional material will not appear on the common final exam.
BLACK exercises are straightforward calculations and intended for daily practice.
RED exercises are not solely computational and serve to check basic theoretical understanding.
In order to keep up with the pace of the course, it is highly suggested that you complete 5-8 black exercises and 2-5 red exercises DAILY.
| Lecture | Reading | Topics | Recommended Homework | 1
|
5.1, 5.2
5.3, 5.4
| Review of 151, Chapter 5:
Approximating and computing area. Definite integrals.
Fundamental Theorem(s) of Calculus.
|
Section 5.1 #2, 7, 13, 15, 17, 20, 22, 24, 27(c), 28(a), 34, 53; 29, 31, 32, 42, 43, 60, 71, 76, 85
Section 5.2 #1, 7, 8, 13, 14, 15, 16, 23, 35, 41, 61, 74; 44, 60, 66, 68, 76, 80, 83, 84
Section 5.3 #8, 14, 23, 25, 26, 30, 41, 42, 46, 51; 27, 47, 55, 60, 63, 67, 68
Section 5.4 #7, 9, 11, 17, 23, 26, 30, 31, 32;27, 35, 36, 39, 44
| | 2 |
5.6
5.7
6.1
| Review of 151, Chapter 5:
Integration by substitution.
Transcendental functions
Review of 151, Chapter 6:
Areas between curves.
|
Section 5.6 #8, 10, 13, 16, 21, 27, 28, 35, 51, 52, 59, 83, 88; 74, 75, 76, 98
Section 5.7 #9, 17, 21, 25, 28, 37, 46, 53, 62, 63; 71, 72, 73, 77, 83
Section 6.1 #1, 5, 6, 7, 8, 9, 16, 28, 31, 34, 37; 20, 23, 24, 46, 61
| | 3 | 6.2
6.3
| Volumes.
Average value.
| Section 6.2 #5, 9, 13, 14, 15, 17, 28, 29, 35, 43; 56, 61, 62
Section 6.3 #9, 13, 15, 24, 25, 27--36, 43, 45, 49, 50; 53, 56
| | 4 | 6.4
(6.5)
| Cylindrical shells.
(Work)
| Section 6.4 #11, 12, 17, 18, 27, 33--44, 49, 50; 56, 57
(Section 6.5 #9, 10, 15, 17, 21, 29, 34; 35, 37, 41, 42, 43)
| | 5 | 7.1
| Integration by parts.
| Section 7.1 #9, 10, 14, 18, 19, 23, 26, 28, 31, 34, 43, 36, 47, 50, 54; 37, 57, 58, 67, 68, 71, 76, 81
| | 6 | 7.2
| Trigonometric integrals.
| Section 7.2 #8, 11, 17, 18, 20, 21, 27, 30, 34, 42, 43, 44, 46; 51, 56, 61, 63, 71, 72, 73
| | 7 | 7.3
| Trigonometric substitution.
| Section 7.3 #11, 14, 17, 20, 22, 23, 29, 32, 33; 35, 38, 54, 55, 57, 58, 59, 60, 61
| | 8 | 7.4
7.5
| Hyperbolic integrands.
Partial Fractions.
| Section 7.4 #1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16; 41, 42, 43
Section 7.5 #1, 7, 12, 14, 16, 25, 30, 36, 37, 41; 46, 47, 48, 49, 57, 59, 60, 66, 69
| | 9 | 7.6
| Improper integrals.
| Section 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
| | 10 | (7.7)
7.8
| (Probability & Integration)
Numerical integration. | (Section 7.7 #3, 8, 10, 13, 17; 22, 24, 25)
Section 7.8 #7, 10, 15, 24, 25, 26, 31, 35, 36; 52, 53, 59
| | 11 | EXAM 1 | (usual class time and place) | Chapters 5, 6 & 7 | | 12 | 10.1
10.2
| Sequences.
Infinite series.
| Section 10.1 #10, 13, 18, 19, 24, 26, 33, 39, 40, 41, 45, 50, 59, 62, 65, 68; 73, 75, 76, 83, 85
Section 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.
| Section 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.
| Section 10.4 #6, 7, 13, 19, 20, 22, 25, 28, 29, 33; 37, 39, 44
| | 15 | 10.5 | Ratio and Root Tests.
| Section 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.
| Section 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
8.4
| Taylor series.
Taylor polynomials. | Section 10.7 #7, 10, 13, 15, 18, 19, 23, 30, 33, 38, 40, 42, 52, 54, 57; 39, 41, 60, 69, 80, 88, 89
Section 8.4 #8, 11, 14, 15, 17, 18, 21, 22, 24, 28, 31; 49, 50, 51, 53, 55, 57, 64
| | 18 | 8.1
(8.2, 8.3)
| Arclength and surface area.
(Applications to Physics: fluid pressure, force, center of mass)
| Section 8.1 #4, 9, 10, 14, 15, 19, 20, 23, 26, 30, 36, 37, 40, 45; 16, 22, 25, 29, 39, 46, 48
(Section 8.2 #2, 3, 7, 12; 13, 19, 22)
(Section 8.3 #3, 4, 5, 8, 14, 18, 25, 26, 29, 35; 19, 33, 38, 39, 44)
| | 19 | 11.1
| Parametric equations.
| Section 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
Review | Arclength and speed.
Review & catch up
| Section 11.2 #5, 8, 12, 13, 19, 21, 23, 27, 29, 30; 11, 22, 28, 31
| | 21 | EXAM 2 | (usual class time and place) | Chapters 8, 10 & 11
| | 22 | 11.3
(12.7) | Polar Coordinates.
(Cylindrical and Spherical Coordinates) | Section 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
(Section 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)
| | 23 | 11.4
(11.5) | Area and arclength in polar coordinates.
(Conic sections; see also Quadric surfaces, Section 12.6) | Section 11.4 #2, 3, 7, 8, 10, 13, 14, 18, 24, 28, 31; 11, 22, 27, 30
(Section 11.5 #6, 8, 13, 18, 23, 26, 29, 35, 41, 44, 52, 55; 36, 45, 47, 49, 62, 63)
| | 24 | 5.8
9.1 | Exponential growth.
Solving Differential Equations. | Section 5.8 #2, 7, 8, 11, 13, 28, 33; 18, 24, 31, 56, 57
Section 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
| | 25 | 9.2
| Models involving y'=k(y-b).
| Section 9.2 #3, 5, 8, 12, 15, 17, 21; 22, 25, 26, 29
| | 26 | (9.3, 9.4, 9.5)
| (Graphical/numerical methods,
logistic equation, 1st-order linear equations) | (Section 9.3 #2, 5, 6, 9, 12, 15, 18; 21, 27)
(Section 9.4 #4, 5, 11, 12, 15; 16, 17, 18)
(Section 9.5 #3, 7, 16, 25, 26, 29, 32; 27, 28, 35, 38)
| | 27 | Review
| Review & catch up
| Chapters 11 & 9
| | 28 | Review
| Review
| Chapters 6, 7, 8, 10
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