I. General Information
1. Course Title:
Beginning College Algebra
2. Course Prefix & Number:
MATH 1506
3. Course Credits and Contact Hours:
Credits: 4
Lecture Hours: 4
4. Course Description:
This course will review many introductory algebra topics as well as introduce some new topics in algebra. Topics taught in this course include: linear equations, linear inequalities, equations of lines, graphing, exponents, polynomials, factoring, systems of equations, quadratic equations, rational expressions and equations, complex numbers, radicals, and functions. Additional topics may also be covered.
5. Placement Tests Required:
Accuplacer (specify test): |
Arithmetic |
Score: |
65 |
Other (specify test): |
Elementary Algebra |
Score: |
52
|
6. Prerequisite Courses:
MATH 1506 - Beginning College Algebra
Applies to all requirements
Accuplacer score of 52 or higher on Elementary Algebra exam or score of 65 or higher on Arithmetic exam, or completion of MATH 058x (module 8) with a grade of B or higher.
9. Co-requisite Courses:
MATH 1506 - Beginning College Algebra
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency - similar course from other regional institutions:
SCSU, Math 072 Imtermediate Algebra, 3 credits
BSU, Math 0800 Intermediate Algebra, 3 credits
BSU, Math 1110 Beginning College Algebra, 3 credits
III. Course Purpose
Other - If this course is not required in a program or is not part of the MN Transfer Curriculum, it may be used for the purpose(s) listed below:
- Liberal Arts Elective
- Non-Transferrable General Education Course
IV. Learning Outcomes
1. College-Wide Outcomes
College-Wide Outcomes/Competencies |
Students will be able to: |
Analyze and follow a sequence of operations |
Demonstrate each required step in the algebraic process of solving equations. |
Apply abstract ideas to concrete situations |
Use algebraic equations to apply abstract ideas to concrete situations. |
Utilize appropriate technology |
Use a graphic calculator to solve equations. |
2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of
the course:
- Simplify algebraic expressions
- Solve linear equations and inequalities
- Graph linear equations in two variables
- Write equations of lines
- Determine if a relation is a function
- Evaluate functions using function notation
- Solve application problems using linear functions
- Solve systems of equations
- Solve application problems using systems of equations
- Simplify expressions involving exponents
- Perform operations on polynomials
- Factor polynomials
- Solve higher degree equations by factoring
- Simplify and perform operations with rational expressions
- Simplify and perform operations with radicals
- Perform operations with complex numbers
- Solve quadratic equations using the quadratic formula
V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
- Basic Properties and Definitions
- Simplify numerical expressions using order of operations
- Simplify algebraic expressions by applying the distributive property and combining like terms
- Equations in One Variable
- Solve linear equations
- Solve application problems using linear equations
- Solve problems using literal equations
- Inequalities in One Variable
- Solve simple and compound inequalities
- Graph the solution set to an inequality on a number line
- State the solution set to an inequality using interval notation
- Solve application problems using inequalities
- Equations in Two Variables
- Graph linear equations by finding intercepts or by making a table
- Graph horizontal and vertical lines
- Graph linear equations using the slope and y-intercept
- Determine the slope of a line from the graph, the equation, or two points on the line
- Find the equation of a line
- Determine if two lines are parallel or perpendicular
- Inequalities in Two Variables
- Graph linear inequalities in two variables
- Systems of Linear Equations
- Solve systems of linear equations in two variables by graphing
- Solve systems of linear equations in two variables by addition
- Solve systems of linear equations in two variables by substitution
- Solve systems of linear equations in two variables using a graphing calculator
- Solve application problems using a system of equations
- Functions
- Define a relation and function
- Identify the graphs of basic functions
- Use function notation
- Exponents
- Apply the properties and rules for exponents
- Scientific notation
- Polynomials
- Add, subtract, multiply, and divide polynomials
- Factor polynomials completely
- Rational Expressions and Rational Functions
- Add and subtract rational expressions that contain a common denominator
- Multiply and divide rational expressions
- Solve basic rational equations
- Rational Exponents and Roots
- Simplify expressions involving rational exponents
- Apply properties of radicals
- Write radical expressions in simplest form
- Solve basic radical equations
- Complex Numbers
- Add, subtract, and multiply complex numbers
- Quadratic Functions
- Solve quadratic equations by factoring
- Solve quadratic equations using the quadratic formula
- Solve application problems using quadratic equations
- Graph a parabola
I. General Information
1. Course Title:
Beginning College Algebra
2. Course Prefix & Number:
MATH 1506
3. Course Credits and Contact Hours:
Credits: 4
Lecture Hours: 4
4. Course Description:
This course will review many introductory algebra topics as well as introduce some new topics in algebra. Topics taught in this course include: linear equations, linear inequalities, equations of lines, graphing, exponents, polynomials, factoring, systems of equations, quadratic equations, rational expressions and equations, complex numbers, radicals, and functions. Additional topics may also be covered.
5. Placement Tests Required:
Accuplacer (specify test): |
Arithmetic |
Score: |
65 |
Other (specify test): |
Elementary Algebra |
Score: |
52
|
6. Prerequisite Courses:
MATH 1506 - Beginning College Algebra
Applies to all requirements
Accuplacer score of 52 or higher on Elementary Algebra exam or score of 65 or higher on Arithmetic exam, or completion of MATH 058x (module 8) with a grade of B or higher.
9. Co-requisite Courses:
MATH 1506 - Beginning College Algebra
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency - similar course from other regional institutions:
SCSU, Math 072 Imtermediate Algebra, 3 credits
BSU, Math 0800 Intermediate Algebra, 3 credits
BSU, Math 1110 Beginning College Algebra, 3 credits
III. Course Purpose
3. Other - If this course does NOT meet criteria for #1 or #2 above, it may be used for the purpose(s) selected below:
- Liberal Arts Elective
- Non-Transferrable General Education Course
IV. Learning Outcomes
1. College-Wide Outcomes
College-Wide Outcomes/Competencies |
Students will be able to: |
Analyze and follow a sequence of operations |
Demonstrate each required step in the algebraic process of solving equations. |
Apply abstract ideas to concrete situations |
Use algebraic equations to apply abstract ideas to concrete situations. |
Utilize appropriate technology |
Use a graphic calculator to solve equations. |
2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of
the course:
- Simplify algebraic expressions
- Solve linear equations and inequalities
- Graph linear equations in two variables
- Write equations of lines
- Determine if a relation is a function
- Evaluate functions using function notation
- Solve application problems using linear functions
- Solve systems of equations
- Solve application problems using systems of equations
- Simplify expressions involving exponents
- Perform operations on polynomials
- Factor polynomials
- Solve higher degree equations by factoring
- Simplify and perform operations with rational expressions
- Simplify and perform operations with radicals
- Perform operations with complex numbers
- Solve quadratic equations using the quadratic formula
V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
- Basic Properties and Definitions
- Simplify numerical expressions using order of operations
- Simplify algebraic expressions by applying the distributive property and combining like terms
- Equations in One Variable
- Solve linear equations
- Solve application problems using linear equations
- Solve problems using literal equations
- Inequalities in One Variable
- Solve simple and compound inequalities
- Graph the solution set to an inequality on a number line
- State the solution set to an inequality using interval notation
- Solve application problems using inequalities
- Equations in Two Variables
- Graph linear equations by finding intercepts or by making a table
- Graph horizontal and vertical lines
- Graph linear equations using the slope and y-intercept
- Determine the slope of a line from the graph, the equation, or two points on the line
- Find the equation of a line
- Determine if two lines are parallel or perpendicular
- Inequalities in Two Variables
- Graph linear inequalities in two variables
- Systems of Linear Equations
- Solve systems of linear equations in two variables by graphing
- Solve systems of linear equations in two variables by addition
- Solve systems of linear equations in two variables by substitution
- Solve systems of linear equations in two variables using a graphing calculator
- Solve application problems using a system of equations
- Functions
- Define a relation and function
- Identify the graphs of basic functions
- Use function notation
- Exponents
- Apply the properties and rules for exponents
- Scientific notation
- Polynomials
- Add, subtract, multiply, and divide polynomials
- Factor polynomials completely
- Rational Expressions and Rational Functions
- Add and subtract rational expressions that contain a common denominator
- Multiply and divide rational expressions
- Solve basic rational equations
- Rational Exponents and Roots
- Simplify expressions involving rational exponents
- Apply properties of radicals
- Write radical expressions in simplest form
- Solve basic radical equations
- Complex Numbers
- Add, subtract, and multiply complex numbers
- Quadratic Functions
- Solve quadratic equations by factoring
- Solve quadratic equations using the quadratic formula
- Solve application problems using quadratic equations
- Graph a parabola