Loyola University Chicago

Mathematics and Statistics

MATH 132

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

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

7.3

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, 44, 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 is active for up to one year, so you may be able to reuse your access code (at no additional cost) if you have enrolled in either course the previous semester.

NOTE:  Many sections of MATH 131/132 use WebAssign as a required homework component of the final course grade, so even if your instructor this semester does not, it may still be prudent to purchase an access code.

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. See WebAssign Support for help getting started.
  3. For roster management purposes, it would be helpful if you choose your LoyolaID when setting up your WebAssign account.

NOTE: 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 Fall 2016 has not yet been announced. (Spring tutoring took place on Tuesdays and Thursdays from 7-8:30pm in Cuneo Hall Room 111.)