MATH 1000 - Intermediate Algebra

Credit Hours: 4.00

Objectives: Students will perform the following without the use of a calculator:

1. Solve systems of 3 equations with 3 unknowns (with elimination)
2. Applications.

Outcome 2: Upon completion of the course, the student will be able to solve rational equations.

Objectives: Students will perform the following without the use of a calculator:

1. Simplify rational expressions.
2. Add and subtract rational expressions with like and unlike denominators.
3. Multiply and divide rational expressions.
4. Simplify complex fractions.
5. Solve rational equations and check for extraneous solutions.
6. Solve applications with rational equations.

Outcome 3: Upon completion of the course, the student will be able to evaluate functions.

Objectives: Students will perform the following without the use of a calculator:

1. Determine when a relation is a function.
2. Evaluate functions.
3. Find domain and range of a function.

Outcome 4: Upon completion of the course, the student will be able to solve absolute value equations and inequalities.

Objectives: Students will perform the following without the use of a calculator:

1. Solve absolute value equations.
2. Solve absolute value inequalities.
3. Determine when an absolute value or inequality has no solution or infinite solutions.

Outcome 5: Upon completion of the course, the student will be able to solve radical equations.

Objectives: Students will perform the following without the use of a calculator:

1. Use properties of rational exponents.
2. Convert rational exponents to radical form and vice versa.
3. Simplify and perform basic operations on radicals.
4. Solve equations with rational exponents and radicals.
5. Perform basic operations on complex numbers.

Outcome 6: Upon completion of the course, the student will be able to solve quadratic equations.

Objectives: Students will perform the following without the use of a calculator:

1. Solve quadratic equations by factoring, completing the square, square root property, and quadratic formula.
2. Solve equations in quadratic form.
3. Solve applications with quadratic equations.
4. Find the vertex of a parabola and graph.
5. Solve quadratic and rational inequalities.

Outcome 7: Upon completion of the course, the student will be able to graph circles.

Objectives: Students will perform the following without the use of a calculator:

1. Find the distance between two points using the distance formula.
2. Identify the center and radius of a circle.
3. Graph a circle.

Outcome 8: Upon completion of the course, the student will be able to solve logarithmic and exponential equations.

Objectives: Students will perform the following without the use of a calculator:

1. Convert expressions from exponential form to logarithmic form and vice versa.
2. Evaluate logarithms.
3. Use properties of logarithms to expand and condense logarithmic expressions.
4. Solve exponential and logarithmic equations.
5. Solve applications using exponential and logarithmic equations.

1. Review
   1. Systems of equations in two variables
   2. Graph lines using slope-intercept form
   3. Factor polynomials
2. Systems of Linear Equations in Three Variables
   1. Solve systems of equations in three variables
   2. Applications
3. Rational Expressions and Equations
   1. Simplify rational expressions
   2. Add, subtract, multiply, and divide
   3. Simplify complex fractions
   4. Rational equations
   5. Applications
4. Functions
   1. Relations
   2. Vertical Line Test
   3. Evaluate functions
   4. Domain and range
5. Absolute Value Equations and Inequalities
   1. Equations
   2. Inequalities
6. Exponents, Radicals and Complex Numbers
   1. Rational exponents
   2. Simplify radicals
   3. Add, subtract, multiply, and divide radicals
   4. Solve equations with radicals
   5. Complex numbers
7. Quadratic Equations and Functions
   1. Solve quadratic equations by
      1. Factoring
      2. Square Root Property
      3. Completing the square
      4. Quadratic formula
   2. Solve equations in quadratic form
   3. Applications
   4. Solve quadratic and rational inequalities
   5. Graph parabolas
8. Circles
   1. Use distance formula
   2. Find center and radius of a circle and graph
9. Exponents and Logarithms
   1. Convert between exponential and logarithmic forms
   2. Evaluate logarithms
   3. Expand and condense logarithmic expressions
   4. Solve exponential and logarithmic equations
   5. Applications