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 and therefore the use of a graphing calculator will be highly emphasized.
5. Placement Tests Required:
| Accuplacer (specify test): |
Accuplacer – college level exam |
Score: |
50 |
6. Prerequisite Courses:
MATH 1470 - College Algebra
A total of 1 Course(s) from...
| Course Code | Course Title | Credits |
| MATH 1506 | Beginning College Algebra | 4 cr. |
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:
|
Name of Institution |
Course Number and Title |
Credits |
|
Bemidji State University |
MATH 1170 College Algebra |
3 |
|
Saint Cloud State University |
MATH 112 College Algebra |
3 |
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 |
Solving equations through a sequential process. |
| Apply abstract ideas to concrete situations |
Problem solving. |
| Utilize appropriate technology |
A graphing calculator is used to solve problems using a graphing approach. |
2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of
the course:
|
Expected Outcome |
MnTC
Goal Area |
|
Operate a graphing calculator. |
|
|
Perform transformations on graphs of functions |
|
|
Perform operations on functions and find compositions |
|
|
Find inverse functions and their domains |
|
|
Solve problems using linear equations and models |
|
|
Solve problems using quadratic equations and models |
|
|
Solve problems using polynomial equations and models |
|
|
Solve problems using radical equations and models |
|
|
Find the zeros of polynomial equations |
|
|
Solve rational equations and inequalities |
|
|
Solve exponential and logarithmic equations |
|
|
Solve problems using exponential and logarithmic functions |
|
|
Solve systems of linear equations in two and three variables |
|
|
Solve problems using systems of equations |
|
|
Solve systems of linear inequalities |
|
V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
FUNCTIONS, GRAPHS, AND MODELS
1. Using Graphing Utilities
2. Functions
3. Functions: Graphs and Properties
4. Functions: Graphs and Transformations
5. Operations on Functions; Composition
6. Inverse Functions
|
MODELING WITH LINEAR AND QUADRATIC FUNCTIONS
1. Linear Functions
2. Linear Equations and Models
3. Quadratic Functions
4. Complex Numbers
5. Quadratic Equations and Models
6. Additional Equation Solving Techniques
7. Solving Inequalities
|
POLYNOMIAL AND RATIONAL FUNCTIONS
1. Polynomial Functions and Models
2. Polynomial Division
3. Real Zeros and Polynomial Inequalities
4. Complex Zeros and Rational Zeros of Polynomials
5. Rational Functions and Inequalities
|
MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS
1. Exponential Functions
2. Exponential Models
3. Logarithmic Functions
4. Logarithmic Models
5. Exponential and Logarithmic Equations
|
MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES
1. Systems of Linear Equations in Two Variables
2. Systems of Linear Equations in Three Variables
3. 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 and therefore the use of a graphing calculator will be highly emphasized.
5. Placement Tests Required:
| Accuplacer (specify test): |
Accuplacer – college level exam |
Score: |
50 |
6. Prerequisite Courses:
MATH 1470 - College Algebra
A total of 1 Course(s) from...
| Course Code | Course Title | Credits |
| MATH 1506 | Beginning College Algebra | 4 cr. |
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:
|
Name of Institution |
Course Number and Title |
Credits |
|
Bemidji State University |
MATH 1170 College Algebra |
3 |
|
Saint Cloud State University |
MATH 112 College Algebra |
3 |
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 |
Solving equations through a sequential process. |
| Apply abstract ideas to concrete situations |
Problem solving. |
| Utilize appropriate technology |
A graphing calculator is used to solve problems using a graphing approach. |
2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of
the course:
|
Expected Outcome |
MnTC
Goal Area |
|
Operate a graphing calculator. |
|
|
Perform transformations on graphs of functions |
|
|
Perform operations on functions and find compositions |
|
|
Find inverse functions and their domains |
|
|
Solve problems using linear equations and models |
|
|
Solve problems using quadratic equations and models |
|
|
Solve problems using polynomial equations and models |
|
|
Solve problems using radical equations and models |
|
|
Find the zeros of polynomial equations |
|
|
Solve rational equations and inequalities |
|
|
Solve exponential and logarithmic equations |
|
|
Solve problems using exponential and logarithmic functions |
|
|
Solve systems of linear equations in two and three variables |
|
|
Solve problems using systems of equations |
|
|
Solve systems of linear inequalities |
|
V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
FUNCTIONS, GRAPHS, AND MODELS
1. Using Graphing Utilities
2. Functions
3. Functions: Graphs and Properties
4. Functions: Graphs and Transformations
5. Operations on Functions; Composition
6. Inverse Functions
|
MODELING WITH LINEAR AND QUADRATIC FUNCTIONS
1. Linear Functions
2. Linear Equations and Models
3. Quadratic Functions
4. Complex Numbers
5. Quadratic Equations and Models
6. Additional Equation Solving Techniques
7. Solving Inequalities
|
POLYNOMIAL AND RATIONAL FUNCTIONS
1. Polynomial Functions and Models
2. Polynomial Division
3. Real Zeros and Polynomial Inequalities
4. Complex Zeros and Rational Zeros of Polynomials
5. Rational Functions and Inequalities
|
MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS
1. Exponential Functions
2. Exponential Models
3. Logarithmic Functions
4. Logarithmic Models
5. Exponential and Logarithmic Equations
|
MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES
1. Systems of Linear Equations in Two Variables
2. Systems of Linear Equations in Three Variables
3. Systems of Linear Inequalities
|