I. General Information
1. Course Title:
Precalculus
2. Course Prefix & Number:
MATH 1472
3. Course Credits and Contact Hours:
Credits: 5
Lecture Hours: 5
Lab Hours: 0
4. Course Description:
The purpose of this course is to provide students with the essential mathematical background needed for the study of Calculus. Topics covered in this course include solving equations, polynomial and rational functions, radical functions, exponential and logarithmic functions, trigonometric functions and their inverses, trigonometric identities, applications, polar coordinates and graphs, sequences and series, and conic sections if time allows.
5. Placement Tests Required:
Accuplacer (specify test): 
PreCalculus College Level or Calculus College Level 
Score: 

Other (specify test): 
ACT Math component 
Score: 
23

6. Prerequisite Courses:
MATH 1472  Precalculus
A total of 1 Course(s) from...
Course Code  Course Title  Credits 
MATH 1470  College Algebra  3 
8. Prerequisite (Entry) Skills:
Students entering this course should have a cursory understanding of solving equations and inequalities, functions and graphs, polynomial functions, rational functions, inverse functions, exponential functions, logarithmic functions, problems solving, and the use of a graphing calculator.
9. Corequisite Courses:
MATH 1472  Precalculus
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
Bemidji State University, 1470 Precalculus, 5 credits
St. Cloud State University, MATH 115, 5 credits
III. Course Purpose
1. ProgramApplicable Courses – This course is required for the following program(s):
2. MN Transfer Curriculum (General Education) Courses  This course fulfills the following goal area(s) of the MN Transfer Curriculum:
Goal 4 – Mathematical/Logical Reasoning
IV. Learning Outcomes
1. CollegeWide Outcomes
CollegeWide Outcomes/Competencies 
Students will be able to: 
Analyze and follow a sequence of operations 
Solve complex problems by following a sequence of operations. 
Apply abstract ideas to concrete situations 
Solve problems that apply the topic to real world situations. 
Utilize appropriate technology 
Use the graphing calculator as developed for the study of functions and parametric/polar graphing. 
2. Course Specific Outcomes  Students will be able to achieve the following measurable goals upon completion of
the course:
 Identify graphs of functions and recognize transformations;
 Perform operations and compositions with functions;
 Solve linear and quadratic equations and inequalities;
 Find the zeros of a polynomial function and solve polynomial equations;
 Solve exponential and logarithmic equations;
 Solve problems using right triangle trigonometry;
 Solve problems using law of sines and law of cosines;
 Apply properties of trigonometric functions;
 Recognize and use trigonometric identities;
 Find inverses of trigonometic functions;
 Use polar coordinates and graphs;
 Recognize and generate sequences and series; and
 Identify and work with conic sections.
V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
Listed below are major areas of content typically covered in this course.
 FUNCTIONS, GRAPHS, AND MODELS
 Using Graphing Utilities
 Functions
 Functions: Graphs and Properties
 Functions: Graphs and Transformations
 Operations on Functions; Compositions
 Inverse Functions
 MODELING WITH LINEAR AND QUADRATIC FUNCTIONS
 Linear Functions
 Linear Equations and Models
 Quadratic Functions
 Complex Numbers
 Quadratic Equations and Models
 Additional Equation Solving Techniques
 Solving Inequalities
 POLYNOMIAL AND RATIONAL FUNCTIONS
 Polynomial Functions And Models
 Polynomial Division
 Real Zeros and Polynomial Inequalities
 Complex Zeros and Rational Zeros of Polynomials
 Rational Functions and Inequalities
 MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS
 Exponential Functions
 Exponential Models
 Logarithmic Functions
 Logarithmic Models
 Exponential and Logarithmic Equations
 TRIGONOMETRIC FUNCTIONS
 Angles and Their Measure
 Trigonometric Functions: A Unit Circle Approach
 Solving Right Triangles
 Properties of Trigonometric Functions
 More General Trigonometric Functions and and Models
 Inverse Trigonometric Functions
 TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS
 Basic Identities and Their Use
 Sum, Difference, and Cofunction Identities
 DoubleAngle and HalfAngle Identities
 ProductSum and SumProduct Identities
 Trigonometric Equations
 ADDITIONAL TOPICS IN TRIGONOMETRY
 Law of Sines
 Law of Cosines
 Vectors in the Plane
 Polar Coordinates and Graphs
 Complex Numbers and De Moivre's Theorem
 SEQUENCES AND SERIES
 Sequences and Series
 Mathematical Induction
 Arithmetic and Geometric Sequence
 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY (if time allows)
 Conic Sections; Parabola
 Ellipse
 Hyperbola
 Translation and Rotation of Axes
 Systems of Nonlinear Equations