Loyola University Chicago

Mathematics and Statistics

MATH 117

Chapter 1: Relations and Functions
    1.1  Sets of Real Numbers and The Cartesian Coordinate Plane
    1.2  Relations
    1.3  Introduction to Functions
    1.4  Function Notation
    1.5  Function Arithmetic
    1.6  Graphs of Functions
    1.7  Transformations

Chapter 2: Linear and Quadratic Functions
    2.1  Linear Functions
    2.2  Absolute Value Functions
    2.3  Quadratic Functions

Chapter 3: Polynomial Functions [2 weeks]
    3.1  Graphs of Polynomials
    3.2  The Factor Theorem and The Remainder Theorem
    3.3  Real Zeros of Polynomials
    3.4  Complex Zeros and the Fundamental Theorem of Algebra

Chapter 4: Rational Functions
    4.1  Introduction to Rational Functions
    4.2  Graphs of Rational Functions

Chapter 5: Further Topics in Functions
    5.1  Function Composition
    5.2  Inverse Functions
    5.3  Other Algebraic Functions

Chapter 7: Hooked on Conics
    7.2  Circles

Chapter 8: Systems of Equations and Matrices
    8.1  Systems of Linear Equations: Gaussian Elimination
    8.2  Systems of Non-Linear Equations and Inequalities

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 WileyPlus in the spring of 2015.)

Chapter 1. Functions and Their Graphs
1.1 2, 5, 6, 14, 16, 20, 24, 26, 34, 38, 40, 46, 50, 54, 59, 66, 72
1.2 1, 4, 10, 12, 14, 16, 20, 22, 24, 41, 46, 49
1.3 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 30, 38, 44, 50, 52, 54, 67, 68
1.4 2, 4, 6, 10, 12, 14, 16, 18, 20, 22, 24, 30, 32, 34, 37, 38, 40, 42, 44, 46, 48, 50, 56
1.5 2, 3, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 26, 28, 30, 35, 40, 44
1.6 2, 4, 6, 8, 10, 12, 18, 20, 22, 24, 26, 28, 30, 34, 36, 38
Chapter 2. Linear, Quadratic, Polynomial, and Rational Functions
2.1 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 34, 36, 38, 40, 42, 55, 56
2.2 2, 4, 6, 8, 12, 14, 16, 18, 20, 22, 26, 28, 30, 34, 36, 40, 42, 48, 50, 52, 58, 62, 68, 70
Apx A 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 29, 37
2.3 4, 6, 8, 10, 14, 18, 20, 22, 24, 28, 30, 32, 36, 42, 44, 48, 56, 58, 62, 66, 70, 74, 82, 84, 88, 98, 108, 110, 129, 142
2.4 4, 6, 8, 11, 18, 20, 22, 24, 26, 28, 30, 35, 39, 42, 44, 64
2.5 2, 4, 6, 8, 10, 16, 20, 22, 26, 28, 30, 32, 36, 38, 40, 42, 44, 46, 50, 52
Chapter 3. Exponential Functions, Logarithms, and e
3.1 2, 4, 8, 10, 12, 13, 14, 15, 18, 20, 22, 24, 28, 30, 32, 34, 38, 40, 42, 44, 46, 48, 50, 54, 56, 58, 60, 62, 66, 68, 78, 80, 88, 94
3.2 2, 4, 6, 8, 10, 12, 14, 18, 20, 24, 26, 28, 30, 31, 34, 36
3.3 2, 4, 6, 8, 10, 12, 14, 16, 18, 22, 24, 26, 28, 30, 32, 36, 42, 44, 48, 54
3.4 6, 8, 10, 12, 14, 16, 18, 20, 23, 26, 28, 30, 32, 38
3.5 2, 4, 6, 8, 12, 14, 16, 18, 22, 24, 28, 32, 34, 36, 38, 40, 44, 48, 62
3.6 2, 4, 6, 8, 10, 12, 14, 16, 20, 22, 24, 26, 30, 34
3.7 2, 4, 6, 8, 10, 14, 16, 20, 22, 25, 28, 32
Chapter 8. Systems of Linear Equations
8.1 2, 4, 6, 8, 10, 12, 14, 16, 20

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 117 (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.