University of Delaware Department of Mathematical Sciences
The various classes of functions and their graphs are explored. Function classes include linear, quadratic, polynomial, rational, exponential, logarithmic and trigonometric. Skills and concepts needed for calculus (MATH221) are emphasized.
Requires a grade of C- or better in MATH 010 or students must achieve an acceptable score on the Math Placement Exam in accordance with current standards determined by the Department of Mathematical Sciences. See https://www.mathsci.udel.edu/courses-placement/ud-math-placement for more information.
Students who received credit in MATH117, MATH221, MATH222, MATH231, MATH241, MATH242, or MATH243 are not eligible to take this course without permission.
PreCalculus by Julie Miller & Donna Gerken, McGraw-Hill, 2nd Edition.
ALEKS online homework system, scientific calculator, Mathematical Sciences Learning Lab (MSLL) created course pack
This teaching schedule is designed for 26 class meetings, each 80 minutes long. A typical semester has 28 meetings.
Topic | Textbook Section or pages | # of 80 min classes |
Linear Functions - concept, graphing and applications | 1.5 | 1 |
Functions & Relations - definitions, notation | 1.3 | 0.5 |
Reading a Graph - domain, range, increasing/decreasing/constant, zeros, inequalities | 1.7 | 0.5 |
Piecewise Functions - graphing, evaluating, and interpreting | 1.7 | 1 |
Transformations - done throughout the semester with all functions | 1.6 | 1 |
Composition - done throughout the semester with all functions | 1.8 | 1 |
Inverse Functions - done throughout the semester with all functions | 3.1 | 1 |
Exponential Functions - concept, evaluating, and graphing, includes “e” | 3.2 | 2 |
Logarithmic Functions - concept, graphing, evaluating, domain, change of base, and properties | 3.3 3.4 | 2.5 |
Exponential & Logarithmic Functions - solving equations and applications | 3.5 3.6 | 2 |
Quadratic Functions - graphing and evaluating, finding characteristics | 2.1 | 1.5 |
Quadratic Functions - applications and solving inequalities | 2.1 2.6 | 1 |
Average Rate of Change | p 161-163 | 0.5 |
Square Root Function - domain, graphing, evaluating | 0.5 | |
Polynomial Functions - graphing | 2.2 | 1.5 |
Polynomial Functions - applications and inequalities | 2.2, 2.7 | 1 |
Rational Functions - domain, graphing, and evaluating | 2.5, 2.6 | 2.5 |
Rational Functions - solving inequalities | 2.7 | 0.5 |
Trigonometry - angles and definitions | 4.1 | 0.5 |
Trigonometry - right triangle definitions and applications, inverse trig functions | 4.3 4.7 | 1.5 |
Trigonometry - unit circle trig and trig functions of any angle | 4.2 4.4 | 1.5 |
Trigonometry - graphing sine and cosine, solving trig equations | 4.5 5.5 | 1 |
A ≥90%, A-≥87%, B+≥84%, B≥80%, B-≥77%, C+≥74%, C≥70%, C-≥67%, D+≥64%, D≥60%, D-≥57%, F<57%.