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Syllabus for Intermediate Algebra

Course Objectives:

Upon successful completion of this course, the student will be able to do the following:

1. Distinguish between the sets of natural, whole, integer, rational, real and complex numbers ;

2. Solve quadratic, rational, absolute value and radical equations;

3. Solve quadratic and rational applications ;

4. Solve quadratic inequalities and absolute value inequalities of the form |ax + b| > n,
|ax + b| < n, |ax + b| ≤ n and |ax + b| ≥ n, where n can be positive , negative or zero ;

5. Factor polynomials of the form u3 + v3 and u3 – v3 where u = ax + b and v = cx + d;

6. Graph quadratic and square root functions;

7. Simplify expressions containing integer and rational exponents and radical expressions;

8. Simplify complex fractions ;

9. Evaluate function notation and utilize the Vertical Line Test;

10. Determine the domain and range of a function given its graph;

11. Solve a system of three equations in three variables ;

12. Write the square root of a negative radicand utilizing a factor of i;

13. Compare equations of conic sections and construct their graphs;

14. Graph exponential and logarithmic functions;

15. Formulate the logarithmic equivalent of an exponential function.

Dates and Certification Assignments that will be collected

All assignment will have an established due date. However, you will have the option to complete assignments early.
Nevertheless, if you wait until the day they are due, the assignment must be completed before 11:59 pm on that day.
All assignments completed after the due date will receive half credit.

Week 1: All assignments due by Tuesday, August 25
Chapter 1 Section 3b: Solving Linear Equations
Chapter 1 Section 1a: Name that Real Number
Chapter 1 Section 1b: Properties of Real Numbers
Chapter 1 Section 6a: Solving Linear Inequalities

Week 2: All assignments due by Tuesday, September 1
Chapter 1 Section 4a: Solving Formulas
Chapter 1 Section 5: Applications
Chapter 1 Section 3c: Solving Absolute Value Equations
Chapter 1 Section 6b: Solving Absolute Value Inequalities
Chapter 1 Section 7: Simplifying Integer Exponents I

Week 3: All assignments due by Thursday, September 10
Chapter 1 Section 8a: Simplifying Integer Exponents II
Chapter 1 Section 8b: Scientific Notation
Chapter 2 Section 1b: Graphing Linear Equations by Plotting Points
Chapter 2 Section 2: Graphing Linear Equations in Slope- Intercept Form
Chapter 2 Section 3b: Finding the Equation of a Line

Week 4: Test 1 is on Friday, September 11

Week 5: All assignments due by Tuesday, September 22
Chapter 2 Section 4: Introduction to Functions
Chapter 3 Section 1b: Solving Systems of Linear Equations by Substitution
Chapter 3 Section 1c: Solving Systems of Linear Equations by Addition
Chapter 3 Section 2: Applications (Systems of Equations)

Week 6: All assignments due by Tuesday, September 29
Web Test – DRT: Uniform motion problems
Chapter 3 Section 3: Solving Systems of Linear Equations w/ 3 Variables
Chapter 4 Section 1b: Adding and Subtracting Polynomials
Chapter 4 Section 2a: Multiplying Polynomials

Week 7: All assignments due by Tuesday, October 6
Chapter 4 Section 3b: The Division Algorithm
Chapter 4 Section 4a: GCF of a Polynomial
Chapter 4 Section 4b: Special Factorizations - Squares
Chapter 4 Section 4d: Factoring Trinomials by Trial and Error
Chapter 4 Section 5a: Special Factorizations - Cubes
Chapter 4 Section 5b: Factoring by Grouping and with Negative Exponents

Week 8: Test 2 is on Wednesday, October 7

Week 9: All assignments due by Tuesday, October 20
Chapter 4 Section 6: Solving Equations by Factoring
Chapter 5 Section 1a: Defining Rational Expressions
Chapter 5 Section 1b: Multiplication and Division of Rational Expressions
Chapter 5 Section 2: Addition and Subtraction of Rational Expressions
Chapter 5 Section 3: Complex Fractions

Week 10: All assignments due by Tuesday, October 27
Chapter 5 Section 4a: Solving Equations Involving Rational Expressions
Chapter 5 Section 5: Applications Involving Rational Expressions

Week 11: All assignments due by Tuesday, November 3
Chapter 6 Section 1b: Simplifying Radicals
Chapter 6 Section 1c: Division of Radicals
Chapter 6 Section 2: Rational Exponents
Chapter 6 Section 3a: Addition and Subtraction of Radicals
Chapter 6 Section 3b: Multiplication of Radicals

Week 12: Test 3 is on Wednesday, November 4

Week 13: All assignments due by Tuesday, November 17

Chapter 6 Section 5: Complex Numbers
Chapter 7 Section 1a: Quadratic Equations: The Square Root Method
Chapter 7 Section 1b: Quadratic Equations: Completing the Square
Chapter 7 Section 2: Quadratic Equations: The Quadratic Formula

Week 14: All assignments due by Tuesday, November 24
Chapter 7 Section 3: Applications
Chapter 7 Section 4: Solving Radical Equations
Chapter 8 Section 2: Solving Quadratic Inequalities

Week 15: All assignments due by Tuesday, December 1
Chapter 8 Section 1: Graphing Parabolas
Chapter 8 Section 4: Parabolas as Conic Sections
Chapter 8 section 5: Distance Formula, Midpoint Formula, and Circles
Chapter 8 section 6: Ellipses and Hyperbolas

Week 16: Test 4 is on Wednesday, Dec 2

Week 17: All assignments due by Tuesday, December 15

Chapter 8 section 3: Function Notation and Translations
Chapter 9 section 3: Exponential Functions and the Number e
Chapter 9 section 4: Logarithmic Functions

Week 18: Final Exam

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