Christian Brothers University

Math 106 Departmental Syllabus
Applied Math with an Introduction to Calculus

Catalog Data The course contains introductory topics in mathematics for students in business. Topics include functions; graphs; linear, polynomial, rational, exponential and logarithmic models and an introduction to differential and integral calculus.
Prerequisite: Math 105 or Math 117.

Textbook Finite Mathematics and Applied Calculus, Frank C. Wilson, Houghton Mifflin, 2007

Calculator Policy You must use a graphing calculator, such as the Texas Instruments Model 83 plus, on assignments and occasionally on tests.

Prerequisites You should have fundamental skills in college algebra at the level of Math 100 and of college math at the level of Math 105.

Goals You will learn fundamental concepts of functions and their graphs and concepts of calculus and their applications.


Syllabus
Day Night
Topic Sections Classes
Functions and the Derivative
Explain a function; determine its domain and its range; draw its graph. Describe an average rate of change. Describe an instantaneous rate of change. Calculate the slope of a secant line to a curve. Calculate the slope of a tangent line to a curve. Find the rate of change of a function. Interpret the derivative

9.1-5   10   4
Differentiation Techniques
Use rules to find a derivative of a function. Interpret the derivative in applied problems.

10.1-4   10   4
Derivative Applications
Find the roots of a derivative. Interpret these roots. Find the maxima and minima of a function with its first derivative. Find inflection points of a function with its second derivative. Work problems involving applications of maxima and minima.

11.1-3   8   2
The Integral and its Applications
Find the algebraic antiderivative of a function with rules. Approximate the area under a function with area of rectangles. Explain the Fundamental Theorem of Calculus. Measure the effects of change by evaluating the definite integral.

12.1,3-5   10   4
Tests   4   2
Total 42   16


Final Exam The final exam is comprehensive and departmental.

Resources The Math Center located in Science 116 and 151 offers free tutoring in calculus.

Attendance You should attend class regularly.