Loyola University Chicago

Mathematics and Statistics

MATH 117

Functions Modeling Change: A Preparation for Calculus, 5th Edition, Eric Connally, Deborah Hughes-Hallett, Andrew M. Gleason packaged with WileyPlus.

Chapter 1: Linear Functions and Change 

   1.1 Functions and Function Notation 
   1.2 Rates of Change 
   1.3 Linear Functions 
   1.4 Formulas for Linear Functions 
   1.5 Modeling with Linear Functions 
   1.6 Fitting linear functions to data 

Chapter 2: Functions 

   2.1 Input and Output 
   2.2 Domain and Range 
   2.3 Piecewise-defined functions 
   2.4 Preview of Transformations: Shifts 
   2.5 Preview of Composite and Inverse Functions 
   2.6 Concavity 

Chapter 3: Quadratic Functions 

   3.1 Introduction to the Family of Quadratic Functions 
   3.2 The vertex of a Parabola 

Chapter 6: Transformations and their graphs 

   6.1 Shifts, reflections, and symmetry 
   6.2 Vertical stretches and compressions 
   6.3 Horizontal stretches and combinations of transformations 

Chapter 11: Polynomial and Rational Functions 

   11.1 Power functions and proportionality 
   11.2 Polynomial functions 
   11.3 The short-run behavior of polynomials 
   11.4 Rational functions 
   11.5 The short-run behavior of rational functions 

Below are “core problems” that we expect students to be able to solve to ensure understanding of the material in the course syllabus. The WebAssign core homework problems are taken from Precalculus (3rd ed.) by Carl Stitz and Jeff Zeager.

Chapter 1. Relations and Functions
1.1 2, 10, 21, 25, 27, 28, 30, 32, 34, 38
1.2 4, 7, 10, 11, 16, 18, 20, 27, 28, 30, 31, 32, 43, 46, 49
1.3 2, 3, 4, 7, 8, 11, 12, 16, 18, 20, 22, 24, 37, 39, 40
1.4 8, 10, 14, 16, 35, 43, 49, 52, 58
1.5 5, 18, 22, 24, 31, 32, 45
1.6 9, 12, 17, 18, 20, 26, 28, 29, 46, 47, 53, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73 75, (58-60, 62-73 contained in problem 502.XP)
1.7 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 44, 50, 51, 52, 53, (and CYM.001)
Chapter 2. Linear and Quadratic Functions
2.1 6, 8, 9, 11, 12, 29, 32, 35, 37, 38, 46, 48, 52, 60, 66
2.2 8, 9, 12, 16, 22, 26, 27, 29, 33
2.3 2, 3, 6, 8, 22, 23, 24, 25
2.4 1, 2, 8, 9, 11, 38, 45, 47, 49
Chapter 3. Polynomial Functions
3.1 3, 7, 8, 15, 16, 17, 22, 23, 27, 33
3.2 3, 4, 31, 32, 33, 37, 40, 46
3.3

11, 12, 13, 14, 18, 19, 22, 32

3.4 11, 15, 16, 19, 27, 28, 30, 31, 33, 34, 42
Chapter 4. Rational Functions
4.1 2, 3, 5, 6, 9, 19
4.2 1, 2, 3, 4, 5, 6, 7, 8, 9, 13
Chapter 5. Further Topics in Functions
5.1 25, 30, 33, 38, 42, 44, 45, 46, 47, 54, 62, 63
5.2 1, 4, 5, 11, 14, 17, 22, 24, 27
5.3 (Optional) 1, 6, 7, 12, 14, 17, 21, 26, 43
Chapter 7. Hooked on Conics
7.2 2, 6, 7, 9, 10, 14, 15, 17
Chapter 8. Systems of Equations and Matrices
8.1 9, 10, 11, 12, 14, 16, 20
8.7 1, 2, 6, 7, 8, 9, 10, 15, 16, 17

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). 

Click here to see when it is offered this semester.