# MATH 132

Deborah Hughes-Hallett, et al. Applied & Single Variable Calculus for Loyola University Chicago with WebAssign Custom (WebAssign eBook).

Review of Chapters 5 and 6

Chapter 7: Integration
7.1    Integration by Substitution
7.2    Integration by Parts
7.6    Improper Integrals
Chapter 8: Using the Definite Integral
8.6    Applications to Economics
8.7    Distribution Functions
8.8    Probability, Mean, and Median
Chapter 9: Functions of Several Variables
9.1    Understanding Functions of Two Variables
9.2    Contour Diagrams
9.3    Partial Derivatives
9.4    Computing Partial Derivatives Algebraically
9.5    Critical Points and Optimization
9.6    Constrained Optimization
Chapter 11: Using the Derivative
11.1    What is a Differential Equation?
11.2    Slope Fields
11.3    Euler’s Method
11.4    Separation of Variables
11.5    Growth and Decay
11.6    Applications and Modeling
11.7    The Logistic Model
11.8    Systems of Differential Equations
11.9    Analyzing the Phase Plane

Below are “core problems” that we expect students to be able to solve to ensure understanding of the material in the course syllabus. The problems are taken from Applied & Single Variable Calculus for Loyola University Chicago (packaged with WebAssign), 4th ed., Hughes-Hallett, Deborah, et al.

Review of Derivatives
2.4 4, 8, 20
2.5 24, 30
3.1 14, 22, 45
3.2 10, 40
3.3 6, 10, 28
3.4 4, 53, 84
3.5 12, 17, Chapter Review Problem 109
4.2 5, 30
Chapter 5 Review
5.1 1, 15, 25
5.2

4, 12, 29, 32

5.3 2, 6, 30
5.4 14, 25, 46
Chapter 6 Review
6.1

3, 12, 16, 20, 22

6.2

21, 41, 44, 46, 50, 60, 62, 65, 73

Chapter 7. Integration
7.1

2, 4, 8, 9, 10, 12, 14, 16, 17, 18, 20, 24, 27, 29, 30, 31, 35, 42, 59, 62, 66, 77, 115, 128

7.2

3, 4, 5, 6, 8, 10, 13, 19, 30, 38, 41, 49, 54, 67, 70, 71

7.6

2, 3, 5, 6, 8, 10, 12, 13, 14, 19, 27, 35, 43

Chapter 8. Using the Definite Integral
8.6

1, 4, 8, 10, 11, 20, 21, 28, 29, 31, 35

8.7

1, 5, 6, 7, 8, 9, 10, 11, 14, 15, 16, 17, 21

8.8

2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15

Chapter 9. Functions of Several Variables
9.1

1, 3, 9, 11, 17

9.2

1, 2, 5, 10, 13, 20, 25, 27

9.3

1, 3, 5, 7, 8, 12, 18, 23, 24; Chapter 9 Review Problems: 15, 17

9.4

3, 4, 6, 8, 15, 23, 25, 29, 36; Chapter 9 Review Problems: 29, 34

9.5

1, 7, 8, 10, 11, 20, 21

9.6

2, 5, 8, 9, 11, 14, 25; Chapter 9 Review Problems: 40

Chapter 11. Using the Derivative
11.1

1, 2, 9, 11, 13, 16, 19, 20, 21, 22, 24, 26, 27, 28

11.2

4, 9, 13, 15, 17, 18

11.3

6, 7, 10, 11, 14

11.4

1, 2, 3, 4, 6, 9, 11, 12, 14, 15, 16, 20, 21, 22, 23, 24, 25, 26, 28, 41, 45, 47, 50

11.5

1, 2, 10, 14, 16, 20, 21, 23, 26, 30

11.6

1, 2, 7, 8, 13, 14, 16, 18, 20, 22, 26

11.7

8, 11, 12, 14, 16, 18, 20, 22, 25, 28, 34, 35

11.8

1, 2, 3, 4, 12, 14, 17, 19, 20, 22, 23, 24

11.9 1, 2, 5, 12, 20, 21

WebAssign is an online, interactive environment for teaching and learning. As part of the required text for MATH 131/132, you are asked to purchase an access code for WebAssign. This access code may be (re)used for MATH 131 and MATH 132 at no additional charge.

By department policy, all sections of MATH 131 and MATH 132 require online homework on "Core Problems; " this course component should count at least 5% towards students' final course grade. (The ground rules document provided by your instructor will have further details.)

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Select the appropriate choice to access the e-book and homework assignments.

FURTHER NOTES: (*)If you registered for your section more than one week before the start of classes, then you should receive an email with Class Key from the department no later than the Friday before classes begin. Students without a Class Key by the start of classes can get this information from their instructor.

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## Should you choose Math 161/162 or Math 131/132?

Any questions about placement in calculus or other 100-level courses that remain after reading that section should be directed to John Houlihan, Mathematics Placement Director. Please e-mail him to set up an appointment.

Math 161/162 (Calculus I, Calculus II) is a traditional calculus sequence covering all the basic topics of one-variable calculus. This sequence is a prerequisite for Multivariable Calculus (Math 263) as well as for almost all higher-level math courses. It is required for all students majoring in Chemistry, Engineering Science, Mathematics, Physics and Statistics. It is highly recommended, although not required, for students majoring in Biology, Computer Science and Economics.

Math 131/132 (Applied Calculus I, Applied Calculus II) is more of a survey sequence covering many of the basic topics in one-variable calculus as well as some topics in multivariable calculus and differential equations. It is a terminal sequence in that it does not satisfy the prerequisites of upper-level mathematics and statistics courses. Students who enjoyed mathematics in high school and earned ACT math scores of 28 and higher or SAT math scores of 610 and higher are encouraged to choose the Math 161/162 sequence.

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