## I. General Information

1. Course Title:

College Algebra

2. Course Prefix & Number:

MATH 1470

3. Course Credits and Contact Hours:

**Credits:** 3

**Lecture Hours:** 3

**Lab Hours:** 0

4. Course Description:

This is a college level math course that covers topics such as functions and graphs, inverse functions, linear functions and equations, quadratic functions and equations, polynomial functions, rational functions, radical functions, exponential functions, logarithmic functions, systems of equations and inequalities, and problem solving. A graphing approach will be used in this course. Therefore, the use of a graphing calculator will be highly emphasized.

5. Placement Tests Required:

**Accuplacer (specify test):** |
Accuplacer – college level math |
**Score:** |
50 |

6. Prerequisite Courses:

MATH 1470 - College Algebra

Applies to all requirements

Accuplacer College Math score of 50 or higher, or completion of MATH 0820 or MATH 1520

9. Co-requisite Courses:

MATH 1470 - College Algebra

There are no corequisites for this course.
## II. Transfer and Articulation

1. Course Equivalency - similar course from other regional institutions:

Bemidji State University, MATH 1170 College Algebra, 3 credits

St. Cloud State University, MATH 112 College Algebra, 3 credits

## III. Course Purpose

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. College-Wide Outcomes

College-Wide Outcomes/Competencies |
Students will be able to: |

Analyze and follow a sequence of operations |
Solve equations through a sequential process. |

Apply abstract ideas to concrete situations |
Find solutions to real-world problems that can be modeled by linear, quadratic, polynomial, exponential, or logarithmic functions. |

Utilize appropriate technology |
Solve problems using a graphing approach ultizing a graphic calculator. |

2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of
the course:

- Operate a graphing calculator (MnTC Goal 4);
- Perform transformations on graphs of functions (MnTC Goal 4);
- Perform operations on functions and find compositions (MnTC Goal 4);
- Find inverse functions and their domains (MnTC Goal 4);
- Solve problems using linear equations and models (MnTC Goal 4);
- Solve problems using quadratic equations and models (MnTC Goal 4);
- Solve problems using polynomial equations and models (MnTC Goal 4);
- Solve problems using radical equations and models (MnTC Goal 4);
- Find the zeros of polynomial equations (MnTC Goal 4);
- Solve rational equations and inequalities (MnTC Goal 4);
- Solve exponential and logarithmic equations (MnTC Goal 4);
- Solve problems using exponential and logarithmic functions (MnTC Goal 4);
- Solve systems of linear equations in two and three variables (MnTC Goal 4);
- Solve problems using systems of equations (MnTC Goal 4); and
- Solve systems of linear inequalities (MnTC Goal 4).

## V. Topical Outline

Listed below are major areas of content typically covered in this course.

1. Lecture Sessions

- Functions, graphs, and models
- Using graphing utilities
- Functions
- Functions: graphs and properties
- Functions: graphs and transformations
- Operations on functions; composition
- 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

- Modeling with systems of equations and inequalities
- Systems of linear equations in two variables
- Systems of linear equations in three variables
- Systems of linear inequalities

## I. General Information

1. Course Title:

College Algebra

2. Course Prefix & Number:

MATH 1470

3. Course Credits and Contact Hours:

**Credits:** 3

**Lecture Hours:** 3

**Lab Hours:** 0

4. Course Description:

This is a college level math course that covers topics such as functions and graphs, inverse functions, linear functions and equations, quadratic functions and equations, polynomial functions, rational functions, radical functions, exponential functions, logarithmic functions, systems of equations and inequalities, and problem solving. A graphing approach will be used in this course. Therefore, the use of a graphing calculator will be highly emphasized.

5. Placement Tests Required:

**Accuplacer (specify test):** |
Accuplacer – college level math |
**Score:** |
50 |

6. Prerequisite Courses:

MATH 1470 - College Algebra

Applies to all requirements

Accuplacer College Math score of 50 or higher, or completion of MATH 0820 or MATH 1520

9. Co-requisite Courses:

MATH 1470 - College Algebra

There are no corequisites for this course.
## II. Transfer and Articulation

1. Course Equivalency - similar course from other regional institutions:

Bemidji State University, MATH 1170 College Algebra, 3 credits

St. Cloud State University, MATH 112 College Algebra, 3 credits

## III. Course Purpose

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. College-Wide Outcomes

College-Wide Outcomes/Competencies |
Students will be able to: |

Analyze and follow a sequence of operations |
Solve equations through a sequential process. |

Apply abstract ideas to concrete situations |
Find solutions to real-world problems that can be modeled by linear, quadratic, polynomial, exponential, or logarithmic functions. |

Utilize appropriate technology |
Solve problems using a graphing approach ultizing a graphic calculator. |

2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of
the course:

- Operate a graphing calculator (MnTC Goal 4);
- Perform transformations on graphs of functions (MnTC Goal 4);
- Perform operations on functions and find compositions (MnTC Goal 4);
- Find inverse functions and their domains (MnTC Goal 4);
- Solve problems using linear equations and models (MnTC Goal 4);
- Solve problems using quadratic equations and models (MnTC Goal 4);
- Solve problems using polynomial equations and models (MnTC Goal 4);
- Solve problems using radical equations and models (MnTC Goal 4);
- Find the zeros of polynomial equations (MnTC Goal 4);
- Solve rational equations and inequalities (MnTC Goal 4);
- Solve exponential and logarithmic equations (MnTC Goal 4);
- Solve problems using exponential and logarithmic functions (MnTC Goal 4);
- Solve systems of linear equations in two and three variables (MnTC Goal 4);
- Solve problems using systems of equations (MnTC Goal 4); and
- Solve systems of linear inequalities (MnTC Goal 4).

## V. Topical Outline

Listed below are major areas of content typically covered in this course.

1. Lecture Sessions

- Functions, graphs, and models
- Using graphing utilities
- Functions
- Functions: graphs and properties
- Functions: graphs and transformations
- Operations on functions; composition
- 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

- Modeling with systems of equations and inequalities
- Systems of linear equations in two variables
- Systems of linear equations in three variables
- Systems of linear inequalities