# Intermediate Algebra Syllabus

**Course :** MATH 083 : Intermediate Algebra - The
topics include factoring, functions and relations,

functional notation, operations of functions, linear and quadratic functions,
solutions of quadratic and

radical equations, complex numbers, rational expressions and equations,
exponential and logarithmic

functions, and conic sections. There are Lecture and lab components in this
class.

**Note :** A calculator is required for this course. Knowledge of basic key
functions is needed in order to be

successful in this course. Headphones are required if you work in the D102 lab
or any lab on campus.

**Text :** Intermediate Algebra, Charles McKeague 8th Edition

**Instructor :** Debra Loeffler

**Phone :** 410-455-4255

**Days ,Time , & Room :** TR 11:10-12:30 (G200), 5:45-7:05 (E208)

**Office Hours : **TR 10:30-11:00 E204F, TR 5:15-5:45 E208

**Grading Procedures :
**

Quizzes:10%

Chapter Tests: 20%

1

^{st}Quarter Test: 10%

Midterm: 25%

3

^{rd}Quarter Test: 10%

Final Exam: 25%

A=90-100%

B=80-89 %

C=70-79 %

F=Below 70%

Quizzes & chapter tests will be completed in the online system WebCT. Your ID and password will be given

to you on the first day of class. If you have been in a WebCT course before, then your ID and password

are the same for this course. Quizzes and chapter tests are only given during a certain time period so

make sure that you check the Calendar often so that you do not miss them. NOTE: There are practice

quizzes in each objective, but do not count in your grade. They are only for practice!

You will only be able to take the tests once, but quizzes twice (average of the two). There are no make-up

quizzes, but during makeup week (See Calendar in WebCT), you will be able to take any chapter test

again. The highest grade will be saved. Once you start a quiz/test, if you logout, you have used your one

chance. Make sure that after answering the question, you hit the “save answer” button, or your answer

will be lost, and then “submit” when you have completed the Quiz/Test or the Quiz/Test will be lost.

Quizzes and chapter tests are done online using WebCT at home or in a lab. The 1

^{st}& 3

^{rd}quarter tests,

midterm and final will be paper/pencil tests in class (There are no make-ups for these).

If you do not have a computer at home or Internet service, then the Computer Lab in D102 or the library

are available during the week. See their schedules for times they are open.

If you are not comfortable with a computer, then this is
not the class for you to take and should transfer

to a regular class ASAP.

**Major Topics**

I. Functions and Relations

A. Introduce function notation

B. Identify the domain and range of a function

C. Perform operations on functions

II. Quadratic Functions

A. Graph quadratic functions, identifying domain and range and using function
notation

B. Solve quadratic equations using the square root method, factoring, completing
the square and the quadratic formula

C. Perform operations on complex numbers

D. Solve quadratic equations (including equations with complex number roots)

E. Use optimization and simulation methods

F. Solve radical equations

III. Polynomial, Radical, and Rational Functions and Equations

A. Perform operations on polynomial expressions and factor

B. Graph power and polynomial functions, identifying domain and range and using
function notation

C. Simplify radicals and expressions with rational exponents

D. Perform operations on rational expressions

E. Solve rational equations

IV. Exponential and Logarithmic Functions and Equations

A. Graph exponential functions, identifying domain and range and using function
notation

B. Graph logarithmic functions, identifying domain and range and using function
notation

C. Evaluate exponential and logarithmic functions

V. Conic Sections

A. Graphs parabolas and circles

B. Write equation of parabolas and circles

Optional Topics

Individual faculty members may include additional course objectives, major
topics, and other course

requirements to the minimum expectations stated in the
Common Course Outline.

Topics may include: simplifying complex fractions, graphing functions (absolute
value, cube, square root),

finding the composition of two functions.

Topics, Sections, & Problems: McKeague Book

Topics | Sections | Problems | Week | |

Factoring | 5.4a | To factor out the Greatest Common Factor | 1-20 | 2.0 |

5.5a 5.5b |
To factor a trinomial of the form x^{2} + bx + c |
1-22 | ||

To factor ax^{2} + bx + c |
29-52 | |||

5.6b 5.6c |
To factor the difference of two squares | 29-46 | ||

To factor the sum or difference of two cubes | 79-98 | |||

5.7a | To factor a variety of polynomials | 1-4, 6, 8-11, 13- 17, 19-24 |
||

5.8a | To solve an equation by factoring | 1-8, 15-16, 19- 30 |
||

Functions | 3.5b 3.5c |
Identify the domain and range of functions | 1-10, 21-24 | 1.5 |

Determine if a relation is a function | 11-20 | |||

3.6a | Evaluate functions using functional notation | 1-26, 33-40 | ||

3.7a 3.7b |
To perform operations on functions | 1-30 | ||

To find the composition of two functions | 31-36 | |||

1^{st} Quarter Test #1-10% Chapters 5 & 3 |
||||

Rationals | 6.1a 6.1b |
Reducing rational expressions to lowest terms | 1, 2, 5-32 | 2.5 |

Find function values for rational expressions | 3, 4, 57-64 | |||

6.3a | To multiply and divide rational expressions | 1-36, 61-64 | ||

6.4a 6.4b |
To add or subtract expressions with a common
denominator |
11-18 | ||

To add or subtract rational expressions | 25-64 | |||

6.5a | To simplify a complex fraction | 7-22, 27-34, 43- 52 |
||

6.6a | To solve a fractional equation | 1-16 | ||

********** | MIDTERM --- 25% of course grade |
********** | 0.5 | |

Radicals | 7.1b | To simplify expressions with rational exponents | 33-56 | 2.0 |

7.3a | To simplify radical expressions | 1-34 | ||

7.4a | To add or subtract radical expressions | 1-26 | ||

7.5a 7.5b |
To multiply radical expressions | 1-30 | ||

To divide radical expressions | 49-86 | |||

7.6a | To solve a radical equation | 1-18 | ||

Complex | 7.7a 7.7b 7.7d 7.7e 7.7f |
Simplify complex numbers | 1-8 | 1.0 |

Numbers | Simplify powers of i | 9-14 | ||

To add or subtract a complex number | 25-40 | |||

To multiply complex numbers | 41-66 | |||

To divide complex numbers | 67-78 | |||

3^{rd} Quarter Test – 10% Chapter 7 |
||||

Quadratic | 8.1a | To solve a quadratic equation by taking square roots | 1-16 | 2.0 |

Equations | 8.1b | To solve a quadratic equation by completing the
square |
17-26, 31-44 | |

8.2a | To solve a quadratic equation by using the
quadratic formula |
1-14, 17-18, 23- 26 |
||

8.5a | Graph parabolas | 1-28 | ||

Circles | 10.1c 10.1b |
To find the equation of a circle and then graph
the circle |
13-30 | 1.0 |

To write the equation of a circle in standard form | 31-36 | |||

Exponential | 9.1a 9.1b |
To evaluate an exponential function | 1-8 | 1.0 |

and | To graph an exponential function | 9-16 | ||

Logarithmic | 9.3a | Convert between logarithmic and exponential forms | 1-24 | |

Functions | 9.3c | To graph a logarithmic function | 37-44 | |

********** | FINAL EXAM --- 25% of course grade |
***** |