# MATH 162

Textbook for MATH 162 and MATH 162: Dwyer and Gruenward. Calculus Resequenced for Students in STEM, preliminary edition. Wiley. ISBN: 978-1119321590.

Note: MATH 162A uses a different textbook. Namely, James Stewart. Calculus, Early Transcendentals (WebAssign eBook) 8th ed. Cengage Learning. Be sure you are reading the correct information.

Review of prerequisite Material from MATH 161

Chapter 6. Techniques of Integration
6.2 Integration by Parts
6.3 Trigonometric Substitution
6.4 Integrating Rational Functions
6.5 Improper Integrals
6.6 Approximating Definite Integrals

Chapter 7. Applications of Integration
7.1 Average Value and Area Between Curves
7.2 Arc Length
7.3 Volumes
7.4 Solids of Revolution: Volumes by Shells and Surface Area
7.5 Work

Chapter 8. Vectors and Matrices
8.1 Vectors
8.2 Dot Product
8.3 Matrices
8.4 Determinants and Inverse Matrices
8.5 Cross Product
8.6 Lines and Planes in Space

Chapter 9. Functions of Several Variables
9.1 Introduction to F’ns of Several Variables
9.2 Limits and Continuity
9.3 Partial Derivatives
9.4 Chain Rule
9.6 Tangent Planes and Linear Approximations
9.7 Extrema and the Second Partials Test
9.8 Lagrange Multipliers

Chapter 10. Double Integrals
10.1 Double Integrals Over Rectangles
10.2 Double Integrals Over Regions
10.3 Double Integrals in Polar Coordinates
10.4 Applications of Double Integrals

Chapter 11. Differential Equations
11.1 Introduction to Differential Equations
11.2 Separable Differential Equations
11.2 Optional: Graphical, Numerical Solutions to Differential Equations
11.3 Optional: Linear First-Order Differential Equations

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.

You may begin using WebAssign on the first day of class. In order to access WebAssign after the 14-day grace period, you must purchase an access code as detailed below. If you purchased an access code in MATH 161 or Math 162 for the Stewart 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: Once your instructor has uploaded the class roster to WebAssign, your personal class page will be activated. You will access it with your Loyola ID and password as detailed below. (Note to returning students: there is a change from previous semesters... you no longer need a class key to use WebAssign.)

1. Go to www.webassign.net/luc/login.html (Note the change in URL from previous semesters.)
2. Use the LOG IN @ LOYOLA UNIVERSITY CHICAGO button in the center of the page. The LOG IN button in the upper right-hand corner should NOT be used.
3. Selecting the Loyola login button will bring you to a standard Loyola login page, where you will enter your Loyola ID and password.
4. Successful login should bring you to a WebAssign home screen from which you can access any of your courses having a WebAssign component.
5. Select the desired course. If you have not already registered an access code for the course, a notice will be displayed with three choices:
• Enter an access code (purchased at the Loyola Bookstore or from the Acadiem website),
• Purchase an access code (online from WebAssign), or
• Continue the free trial.
Select the appropriate choice to access the e-book and homework assignments.
6. If you purchased an access code for the Stewart text in a previous semester, you do not need to purchase another code.
7. If at any time you run into technical difficulty using WebAssign, you can contact WebAssign directly by email or phone.  Visit https://webassign.com/support/student-support/ to get started.

• For Windows users:
• Mozilla Firefox (version 38 or later)
• Internet Explorer/Microsoft Edge (version 11 or later)
• Google Chrome (version 44 or later)
• For Mac users:
• Mozilla Firefox (version 38 or later)
• Google Chrome (version 44 or later)
• Apple Safari (version 8 or later)
• For iPad users (iOS 8 or later):
• Apple Safari (version 8 or later)

As you work WebAssign problems, WebAssign will warn you if you need additional plug-ins.  If you run into issues with system requirements, go to http://www.webassign.net/manual/instructor_guide/c_a_system_requirements.htm or contact WebAssign technical support at https://webassign.com/support/student-support/.

## 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 660 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).