Loyola University Chicago

Mathematics and Statistics

MATH 118

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


Common Syllabus for MATH 118

Textbook:  Functions Modeling Change(5th ed.) by Connally, Hughes-Hallett, Gleason, et al.   

Chapter 4: Exponential functions 

4.1 Introduction to the family of exponential function

4.2 Comparing exponential and linear functions

4.3 Graphs of exponential functions

4.4 Applications to compound interest

4.5 The number e

Chapter 5: Logarithmic functions 

5.1 Logarithms and their properties

5.2 Logarithms and exponential models

5.3 The logarithmic function and its applications

5.4 Logarithmic scales 

Chapter 11: Polynomial and rational functions 

11.6 Comparing power, exponential, and log functions

11.7 Fitting exponentials and polynomials to data 

Chapter 7: Trigonometry and periodic functions 

7.1 Introduction to periodic functions

7.2 The sine and cosine functions

7.3 Radians and arc length

7.4 Graphs of  the sine and cosine

7.5 Sinusoidal functions

7.6 The tangent function

7.7 Trigonometric functions and identities

7.8 Inverse trigonometric functions

Chapter 8: Triangle trigonometry and polar coordinates 

8.1 Trig functions and right triangles

8.2 Non-right triangles 

8.3 Polar coordinates

Chapter 9: Trigonometric identities, models, and complex numbers 

9.1 Trigonometric equations

9.2 Identities, expressions, and equations

9.3 Sum and difference formulas for sine and cosine

9.6 Complex numbers and De Moivre’s theorem 


Chapter 10: Compositions, inverses, and combinations of functions 

10.1 Composition of functions

10.2 Invertibility and properties of inverse functions

10.3 Combinations of functions


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 Spring 2017 will take place Mondays and Thursdays from 7:00-8:30 pm in Dumbach 120. please contact Michael Serwetnyk (mserwetnyk@luc.edu) with any questions about tutoring.