# Course Syllabus for Intermediate Algebra

**Course Description:** This course is designed to
prepare the student for college algebra. It

covers first-degree equations and inequalities , linear functions, systems of
linear equations,

polynomials, factorization, rational expressions, negative and rational
exponents, radicals,

quadratic equations, graphing functions, logarithms, and application problems.

**Prerequisite: **MATH 025/010 with C grade or higher, or Math Placement Test
(COMPASS

Algebra score of 41 or higher).

**Textbook and Supplies:
**• Intermediate Algebra , 4

^{th}edition (Student Support Edition), by Larson/Hostetler,

published by Houghton/Mifflin.

• Scientific calculator (Graphing calculators are acceptable , but not required.)

**Students who complete Math 108, Intermediate Algebra, will have a strong**

Course Objective:

Course Objective:

understanding of the topics listed in the course description and in the detailed list of course

outcomes. This course will prepare students for Math 130, Math 143, Math 147 and other

courses which have an Intermediate Algebra pre-requisite.

**Daily assignments, exams, and a comprehensive final exam will be**

Outcomes Assessment:

Outcomes Assessment:

used to assess how well students achieve the expected course outcomes. Exams as well as

student evaluations will be analyzed to help improve curriculum and instruction for the course.

Also, regular informal feedback will be solicited in an effort to improve the class as it progresses.

The course content includes:

a. Rational numbers (addition, subtraction, multiplication , and division)

b. Variable expressions (simplify, translate, evaluate)

c. Operations on sets of numbers (union, intersection)

d. Set-builder notation and interval notation

e. First degree equations in one variable (solve, translate from application problems such as percent

problems, mixture problems, business related problems, uniform motion problems, investment

problems)

f. First degree inequalities (solve and graph simple, compound )

g. Linear functions (evaluate, graph, find slope)

h. Find length and midpoint of a segment

i. Write the equations for lines (including parallel lines and perpendicular lines)

j. Solve systems of linear equations (use graphs, substitution method , addition method)

k. Polynomials (add, subtract, multiply, divide using long division and synthetic division, evaluate, factor)

l. Solve polynomial equations by factoring

m. Simplify exponential expressions having integer and variable exponents

n. Scientific notation

o. Expressions with rational exponents (simplify, change to radical form)

p. Radical expressions (simplify, add, subtract, multiply, divide)

q. Complex numbers (simplify, add, subtract, multiply, divide)

r. Solve equations containing radicals

s. Functions (domain, range, graph, use vertical line test, add, subtract, multiply, divide, find inverse, do

composition of functions)

t. Rational expressions (find the domain, simplify, multiply, divide, add, subtract, simplify complex

fractions)

u. Solve rational equations (including application problems like work problems, uniform motion

problems, proportions, variations, and literal equations )

v. Solve quadratic equations (use factoring, completing the square, and quadratic formula)

w. Solve equations that are quadratic in form

x. Solve quadratic and rational inequalities

y. Parabolas (find axis of symmetry, vertex , x-intercepts, graph)

z. Exponential functions (evaluate, graph)

aa. Logarithms ( log notation , properties of logarithms, evaluate logs with and without a calculator, solve

log equations, graph log functions using ordered pairs)

These additional , optional topics may be covered by some instructors:

a. Absolute value equations

b. Absolute value inequalities

c. Evaluate determinants (2 x 2 and 3 x 3)

d. Solve a system of equations using Cramer’s Rule

e. Solve a system of equations using Gaussian elimination with matrices

f. Application problems with systems of equations

g. Application problems with quadratic equations and functions

h. Application problems with exponential equations and functions

i. Application problems with logarithmic equations and functions

As part of departmental analysis of outcomes in this course and its place in the Mathematics

program, student completion of the pre-requisite, success in the current course, success in

subsequent courses and student satisfaction will be reviewed by the instructor and the department

chair. A report containing this information will be submitted by department faculty to determine

what, if any, changes can be made to improve the course in terms of content , focus, and

instruction.

**Course Outline
**(Tentative and subject to change at any time)

Date |
Section |
Topic |

August 24-28 | 1.1 – 1.5, 2.1 | Fundamentals of Algebra, Linear Equations |

Aug 31, September 1-4 | 2.4, Review, 3.1 | Inequalities, Review Chapters 1 and 2, Graphs |

Sept. 2: Exam 1 |
||

September 7-11 | 3.2 – 3.4 | Graphs and Functions |

September 14-18 | 3.6, 4.1 – 4.3 | Systems of Equations |

September 21-25 | September 21-25 | Review Chapters 3 and 4, Polynomials |

Sept. 22: Exam 2 |
||

September 28-30, October 1-2 | 5.3 – 5.6 | Polynomials, Factoring |

October 5-9 | Review, 6.1 - 6.2 | Review Chapter 5, Rational Expressions |

Oct. 6: Exam 3 |
||

October 12-16 | 6.3 – 6.5 | Rational Expressions |

October 19-23 | 6.6 - 6.7, Review | Rational Equations and Functions, Review Chapter 6 |

Oct. 23: Exam 4 |
||

October 26-30 | 7.1-7.4 | Radicals |

November 2-6 | 7.5 – 7.6, Review | Radicals and Complex Numbers |

Nov. 6: Exam 5 |
||

November 9-13 | 8.1-8.3 | Quadratic Equations |

November 16-20 | 8.4, 8.6 | Quadratic Equations, Functions, and Inequalites, |

November 23-24 | 9.1, 9.2 | Exponential Functions, Composite and Inverse Functions |

November 30, December 1-4 | Review, 9.3 | Review for Exam 6, Logarithmic Functions |

Dec. 1: Exam 6 |
||

December 7-11 | 9.4, 9.5, Review | Exponential and Logarithmic Functions, Review for Final Exam |

**Final Exam –
Tuesday, December 15, 8:00 am to 9:50 am
(Math 108-C11)
Tuesday, December 15, 10:00 am to 11:50 am (Math 108-C02)
Homework Assignment Format
Math 108
Fall 2009**

1. Use loose leaf paper.

2. Write name, course title (ex Math 108-C05), and homework section in top right corner of

first page.

3. Circle or highlight final answer when possible.

4. Show the work necessary to complete each problem. If little, no, or incorrect work is

shown, you will not receive credit for that problem even if you have the correct answer.

5. Write legibly. If I cannot decipher your work, you will not receive credit.

6. Staple pages together in top left corner.

7. Fold assignment lengthwise with first page on inside of fold.

8. Write name, course title, and homework section

**on outside**of folded assignment.

Prev | Next |