# 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    Optional: 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: Differential Equations
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 (Optional)

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. Differential Equations
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.)

If you have received(*) a Class Key from your instructor or otherwise, follow the steps below to register for your section in WebAssign:

1. From www.webassign.net, click on “I have a Class Key” in the “Account Log In” box (https://www.webassign.net/v4cgi/selfenroll/classkey.html) and enter luc ABCD WXYZ (where ABCD WXYZ is an eight-digit number provided to you by your instructor).
2. If the correct class and section is listed, click Yes, this is my class. (Else, see WebAssign Support for help getting started.)
3. If you do not already have a WebAssign account, check I need to create a WebAssign account and click Continue. Otherwise, check I already have a WebAssign account and enter your username, institution, and password. The institution is luc all in lowercase. (NOTE: For roster management purposes, it would be helpful if you choose your LoyolaID when setting up your WebAssign account.)
4. At this point, you will have three choices:
• Enter an access code purchased at the Loyola Bookstore or from the Cengage website,
• Purchase an access code online from WebAssign, or
• Continue the 14 day free trial. (**)
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.

(**) Students may register for their WebAssign course immediately, even without an access code. Open enrollment closes two weeks after the semester begins.

## 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.

### Center for Tutoring and Academic Excellence

The Center for Tutoring & Academic Excellence offers free collaborative learning opportunities that include small group tutoring and tutor-led study halls to Loyola students. To learn more or request tutoring services, visit the Center for Tutoring & Academic Excellence online at http://www.luc.edu/tutoring.

### Loyola Math Club Tutoring

The Loyola Math Club offers free tutoring to students in 100-level MATH courses (and others).

Math Club tutoring for Spring 2017 will take place Mondays and Thursdays from 7:00-8:30 pm in Dumbach 120. please contact Michael Serwetnyk (mserwetnyk@luc.edu) with any questions about tutoring.

WebAssign is an online, interactive environment for teaching and learning.  Using WebAssign students will complete Core Homework Problems common to all sections; individual instructors may also assign additional homework.  WebAssign also provides access to the text as an e-book.  By department policy, homework will count at least 5% towards students' final course grade.  The ground rules provided by your instructor will have further details.

In order to gain access to WebAssign, you must purchase an access code as detailed below. If you purchased an access code in either MATH 131 or MATH 132 for the Hughes-Hallett text in a previous semester, do not purchase a new code as the code you previously purchased remains valid.

Instructions for students to obtain the e-book and to use WebAssign: To get started, you will need a class key which your instructor will provide.  The class key begins with the letters luc and is followed by two four digit numbers.  So the class key will have the form: luc #### ####.  Once you have the class key, proceed according to the following steps:

1. Go to www.webassign.net and click on the Enter Class Key tab.
2. Enter the class key your instructor gave you and click Submit.
3. If the correct class and section is listed, click Yes, this is my class.
4. If you purchased an access code for the Hughes-Hallett text in a previous semester, you do not need to purchase another code.  Check I already have a WebAssign account and enter your username, institution, and password.  The institution is luc all in lowercase.  The account you enter here is the one you used after you originally purchased the access code.  You will not be asked to re-enter that access code.  Go to Step 7.
5. If you have not purchased an access code and if you do not already have a WebAssign account, check I need to create a WebAssign account and click Continue.  (If you created a WebAssign account in another Mathematics or Statistics course at Loyola, that account is still valid and can be used for this course.)  Otherwise, check I already have a WebAssign account and enter your username, institution, and password.  The institution is luc all in lowercase.
6. At this point, you will have three choices:
• Enter an access code purchased at the Loyola Bookstore or from the Acadiem website,
• You may be given the option to purchase an access code online from WebAssign.  If given this option DO NOT take it as the access code generated will not work; refunds for taking this option are not guaranteed, or
• Continue the 14 day free trial.

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

• If at any time you run into technical difficulty using WebAssign, you can contact WebAssign directly by email or phone.  Go to https://webassign.com/support/student-support/ to address the difficulty and to find the days and times of available support.