INTERMEDIATE ALGEBRA
I will be available for extra assistance after all classes
and on Wednesdays.
You may phone me at home any evening and on weekends.
Course Description:
This course is designed to prepare the student for college algebra. It
covers
real number properties and operations, variable expressions, first degree
equations and inequalities,
second degree equations, linear analytic geometry, systems of linear equations,
polynomials,
exponents, radicals, rational expressions, functions, relations, graphs of
inequalities and logarithms.
Prerequisites: Math 025 with C grade or higher, or COMPASS placement score.
Required Textbook and Supplies:
* Intermediate Algebra with Applications by Aufman, Barker, Lockwood,
6th edition
* A calculator with LOG and EXPONENTIAL functions, but not a graphing calculator
* Graph paper
Course Objectives:
The student will demonstrate a working knowledge of the material covered in
Chapters 1-10 of the textbook.
The topics are listed in the course description above. A detailed list of course
objectives is attached to this syllabus.
Outcomes Assessment:
Daily assignments, multi-chapter tests, and a comprehensive final exam will
be used to assess how well students
achieve the course objectives. All 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 we
go along. Please feel free to contact me with any suggestions or concerns.
As part of departmental analysis of outcomes in this
course and its place in the Mathematics program, student
completion of the prerequisite, success in the current course, success in
subsequent courses and student satisfaction
will be reviewed by the instructor. 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.
General Policies:
1. Attendance is necessary for you to be successful in this course! If you
know you will miss a class, call or
email me in advance. If an unexpected event prevents you from being in class,
let me know as soon as you can.
2. DO YOUR HOMEWORK! Algebra is a participatory sport. I know of no student who
passed this class without
doing the required homework. The minimum assignment is to do the first two odd
problems from each change
of directions, and ALL odd-numbered story problems. I will explain more in
class!
3. READ each section of the book, BEFORE we cover it in class. I will not read
the book to you during class!
4. PARTICIPATE in your learning by asking questions, working with fellow
students, or scheduling time with
me. Tapes and DVDs are available as additional resources. Don’t wait until the
final exam to seek
assistance!
5. Make-up exams are available, after the initial exam is handed back. You must
schedule the make-up exam
using the on-line scheduling program. All make-up exams must be completed by May
4, 2007.
6. Homework and tests must be done by you, individually! Copying from another
will result in an automatic
grade of 0%.
Grading Procedure:
4 multi-chapter tests (100 points) Final exam (comprehensive) |
400 points 200 points 600 points |
|
Points | Grade | |
540-600 480-539 420-479 360-419 |
A B C D |
Tue | 16-Jan | 1.1; 1.2 | Introduction to Real Numbers; Operations on rational numbers |
Mon | 22-Jan | 1.3; 1.4 | Properties of the Real Numbers; Evaluate & simplify variable expressions |
Tue | 23-Jan | 2.1; 2.2 | Solve equations in one variable ; Coin, Stamp and Integer problems |
Mon | 29-Jan | 2.3; 2.4 | Uniform motion problems ; Investment problems |
Tue | 30-Jan | 2.5 | Inequalities in one variable Test 1 (Chapters 1 & 2) |
Mon | 05-Feb | 3.1; 3.2 | Rectangular coordinate system; Introduction to Functions |
Tue | 06-Feb | 3.3; 3.4 | Linear functions; Slope of a straight line |
Mon | 12-Feb | 3.5; 3.6 | Finding equations of lines; Parallel and perpendicular lines |
Tue | 13-Feb | 4.1; 4. | Solving systems of linear equations |
Mon | 19-Feb | 4.4 | Solving application problems |
Tue | 20-Feb | Review | Test 2 (Chapters 3 & 4) |
Mon | 26-Feb | 5.1; 5.2 | Exponential expressions; Polynomial functions |
Tue | 27-Feb | 5.3; 5.4 | Multiplication and division of polynomials |
Mon | 05-Mar | 5.5; 5.6 | Factoring polynomials |
Tue. | 06-Ma | 5.7 | Solving equations by factoring |
Mon. | 12-Mar | 6.1, 6.2 | Introduction to rational functions; Operations on rational expressions |
Tue | 13-Mar | 6.3; 6.4 | Complex fractions; Rational equations |
Mon | 19-Mar | 6.5; 6.6 | Proportions and variation |
Tue | 20-Mar | Review | Test 3 (Chapters 5 & 6) |
Mon | 26-Mar | 7.1; 7.2 | Rational exponents and radical expressions |
Tue | 27-Mar | 7.4; 7.5 | Solving equations containing radical expressions; Complex numbers |
Mon | 02-Apr | 8.1; 8.2 | Solving quadratic equations |
Tue. | 03-Apr | 8.3; 8.5 | Equations reducible to quadratic form; Nonlinear inequalities |
Mon | 09-Apr | 8.5; 8.6 | Properties of quadratic functions |
Tue | 10-Apr | Review | Test 4 (Chapters 7 & 8) |
Mon | 16-Apr | 9.1; 9.3 | Graphs of functions; Algebra of functions |
Tue | 17-Ap | 9.4 | One-to-one and inverse functions |
Mon | 23-Apr | 10.1; 10.2 | Exponential functions; Introduction to logarithms |
Tue | 24-Apr | 10.3; 10.4 | Graphs of logarithmic functions; Exponential and logarithmic equations |
Mon | 30-Apr | Review for final | |
Tue | 01-May | Review for final | |
Mon | 07-May | Final Exam |
On-line Course Evaluation:
Students are strongly encouraged to complete evaluations at the end of the
course. Evaluations are very important to
assist the teaching staff to continually improve the course. Evaluations are
available online at .
Evaluations open up two weeks prior to the end of the course. The last day to
complete an evaluation is the last day of
the course. During the time the evaluations are open, students can complete the
course evaluations at their convenience
from any computer with Internet access. When students log in they should see the
evaluations for the courses in which
they are enrolled. Evaluations are anonymous. Filling out the evaluation should
only take a few minutes. Your honest
feedback is greatly appreciated!
Disabilities:
Any student with a documented disability may be eligible for related
accommodations. To determine eligibility
and secure services, students should contact the coordinator of disability
Services at their first opportunity
after registration for a class. Student Disability Services is located on the
second floor of the Taylor Building
on the Twin Falls Campus. 208-732-6250 (voice) or 208.734.9929 (TTY) .
Course Objectives:
The student will demonstrate a working knowledge of the following processes and
concepts:
a. Addition, subtraction, multiplication, and division of rational numbers
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 coin and stamp
problems, integer 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. Simplify exponential expressions having integer and variable exponents
m. Scientific notation
n. Expressions with rational exponents (simplify, change to radical form)
o. Radical expressions (simplify, add, subtract, multiply, divide)
p. Complex numbers (simplify, add, subtract, multiply, divide)
q. Solve equations containing radicals
r. Functions (domain, range, graph, use vertical line test, add, subtract,
multiply, divide, find inverse, composition
s. of functions)
t. Rational expressions (simplify, multiply, divide, add, subtract, simplify
complex fractions)
u. Solve fractional 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)
Optional Topics (if we have time):
a. value mixture problems
b. percent mixture problems
c. absolute value equations
d. absolute value inequalities
e. application problems with systems of equations
f. application problems with quadratic equations and functions