Loyola University Chicago

Mathematics and Statistics

MATH 118

During the first week of classes, either Thursday for Tu/Th sections or Wednesday for MWF sections, all students enrolled in this course will take an assessment test. The assessment is part of a larger effort to reduce the number of withdrawals and low grades in our introductory math courses by identifying early on students who need assistance.

You may find practice problems by going to the web page http://webwork.math.luc.edu/webwork2/Math-lib/ and clicking on the "Guest Login" button and click the link that says "Practice." From there you can do the problems online and check your answers.

NOTE: the problems should be done without the use of any calculator as the actual assessment will follow the same format.

Chapter 6: Exponential and Logarithmic Functions
    Review  Section 5.2: Inverse Functions
    6.1  Introduction to Exponential and Logarithmic Functions
    6.2  Properties of Logarithms
    6.3  Exponential Equations and Inequalities
    6.4  Logarithmic Equations and Inequalities
    6.5  Applications of Exponential and Logarithmic Functions

Chapter 10: Foundations of Trigonometry
    10.1  Angles and their Measure
    10.2  The Unit Circle: Cosine and Sine
    10.3  The Six Circular Functions and Fundamental Identities
    10.4  Trigonometric Identities
    Review Section 1.7: Transformations
    10.5  Graphs of the Trigonometric Functions
    10.6  The Inverse Trigonometric Functions
    10.7  Trigonometric Equations and Inequalities

Chapter 11: Applications of Trigonometry
    11.2  The Law of Sines
    11.3  The Law of Cosines
    11.4  Polar Coordinates
    11.7  Polar Form of Complex Numbers

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 Precalculus: A Prelude to Calculus, 2nd ed., by Sheldon Axler.

(Instructors: the problems in bold were not available in Wiley Plus in the spring of 2015.)

Review of Material from MATH 117
1.1 3, 17, 36
1.2 11, 17, 22, 35
1.4 2, 20, 31, 40
1.5 8, 10, 19
1.6 17, 25
2.3 31, 52, 92

3.1

12, 24, 36, 41, 50, 63, 67
3.2 4, 25, 36
3.3 24, 28, 32
3.4 6, 14, 26, 28
3.5 8, 14, 18, 42
3.6 6, 12, 17
3.7 6, 14
Chapter 4. Trigonometric Functions
4.1 2, 4, 6, 11, 12, 16, 20, 24, 26, 28, 30, 32, 34, 38, 41, 42, 48, 50, 54, 55, 56, 60, 64
4.2 2, 6, 8 10, 12, 16, 18, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 47, 48, 49
4.3 2, 4, 6, 8, 10, 12, 14, 16, 20, 22, 24, 26, 28, 30, 32, 33, 34, 36, 38, 40, 44
4.4 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 30, 32, 34, 40, 41, 42, 44
4.5 2, 4, 6, 8, 10, 12, 14, 16, 22, 24, 26, 28, 30, 32, 39, 41
4.6 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 71, 72, 75, 78, 80, 85
Chapter 5. Trigonometric Algebra and Identities
5.1 2, 3, 6, 8, 10, 18, 20, 22, 24, 26, 30, 32, 36, 40, 42, 46, 48, 49, 50, 51, 52, 55, 56
5.3 2, 4, 6, 8, 10, 12, 14, 16, 17, 20, 22, 26, 28, 30, 32, 34, 36, 40, 41, 42, 43, 49
5.4 2, 4, 6, 8, 10, 12, 14, 16, 18, 22, 25, 28, 32, 33, 42
5.5 2, 3, 6, 12, 16, 18, 22, 24, 44, 46, 48, 50, 54, 56, 60, 62, 63, 65, 68, 72, 75, 76, 77, 82, 83, 85
5.6 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 26, 28, 30, 32, 37, 40, 41, 46, 49, 51, 53
Review of Material from MATH 117
1.3 2, 6, 10, 12, 13, 14, 24, 32, 43, 52, 54
Chapter 6. Applications of Trigonometry
6.1 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 17, 19, 22, 24, 26, 28, 34, 36, 37, 38, 40
6.2 1, 3, 6, 9, 12, 13, 14, 16, 17, 18, 19, 20, 24, 30, 31, 32, 35, 36, 37
6.4 2, 4, 8, 14, 18, 22, 25, 26, 28, 30, 32, 33, 34, 35, 41, 49
6.5 2, 4, 6, 8, 10, 12, 14, 15, 18, 20, 24, 25
Chapter 7. Sequences, series, and Limits
7.1 4, 8, 10, 14, 16, 18, 20, 24, 27, 30, 32, 34, 42, 44, 47, 59
7.2 4, 8, 10, 11, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 42, 44, 48, 52, 54, 55, 65
7.3 2, 4, 5, 6, 7, 8, 10, 12, 16, 17, 18, 20, 22, 25, 26, 28, 32

There is one required book for this course:

Carl Stitz and Jeff Zeager, Precalculus, 3rd Edition, eBook packaged with WebAssign.

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 Math 118 (and other courses). 

Math Club tutoring for Spring 2016 will take place on Tuesdays and Thursdays from 7-8:30pm in Cuneo Hall Room 111.