Topics To Be Covered:
| Chapter |
Sections |
Topics |
| 1 |
1,5 |
Algebra, Mathematical Models, and Problem Solving. Algebraic
ex pressions and real numbers; problem solving and using formulas. |
| 2 |
1-3 |
Functions and Linear Functions . Introduction to functions;
graphs of functions ; the algebra of functions. |
| 3 |
1-3 |
Systems of Linear Equations . Systems of linear equations in
two variables ; problem solving and business applications using systems
of equations; systems of linear equations in three variables. |
| 4 |
1-3 |
Inequalities and Problem Solving. Solving linear
inequalities; compound inequalities; equations and inequalities
involving absolute value. |
| 5 |
1-5,7 |
Polynomials, Polynomial Functions , and Factoring.
Introduction to polynomials and polynomial functions; multiplication of
polynomials; greatest common factors and factoring by grouping ;
factoring trinomials ; factoring special forms; polynomial equations and
their applications. |
| 6 |
1-4,6-8 |
Rational Expressions, Functions, and Equations. Rational
expressions and functions : multiplying and dividing; adding and
subtracting rational expressions; complex rational expressions; division
of polynomials ; rational equations; formulas and applications of
rational equations; modeling using variation. |
| 7 |
1-7 |
Radicals, Radical Functions, and Rational Exponents. Radicals
expressions and functions; rational exponents; multiplying and
simplifying radical expressions; adding, subtracting, and dividing
radical expressions; multiplying with more than one term and
rationalizing denominators; radical equations; complex numbers. |
| 8 |
1-5 |
Quadratic Equations and Functions. The Square Root Property
and completing the square; the Quadratic Formula; quadratic functions
and their graphs; equations quadratic in form; polynomial and rational
inequalities. |
| 9 |
1-6 |
Exponential and Logarithmic Functions. Exponential functions;
composite and inverse functions; logarithmic functions; properties of
logarithms ; exponential and logarithmic equations; exponential growth
and decay; modeling data |
| 10 |
1 |
Distance and Midpoint Formulas; circles |
Classroom Procedure:
•Classes will be a combination of
lecture /discussion and question/answer sessions.
•During a typical class, we will first go over questions from the
previous class homework assignment. After that, I will present new topics from
the text section(s) to be covered for that class.
•Classroom attendance will not be taken, but regular attendance is
highly recommended.
•You need to bring your text and your homework notebook to every
class meeting.
•Variations in the typical class format will occur on days when
quizzes or exams are given:
•For many class meetings, homework quizzes will be given
during the last five minutes of the class (see Grading Procedure for more
details).
•On exam days, the entire class time will be used for the
exam.
Homework
•Homework assignments will be given for all of the
material covered in the class and will typically consist of doing most of the
odd- numbered exercises from the text section(s) covered during the class.
•Before attempting the assignment for a given text section, you should first
read and study the text section.
•Solutions to all homework problems should be written out, in detail, in your
homework notebook.
•Assignments should be completed before the next class meeting.
•Answers to all of the odd-numbered problems can be found in the back of the
text; the Student Solutions Manual gives details on how to get the answers.
•When doing the homework, your goal should be to work to a level of
understanding so that you usually get the correct answer to a problem on the
first try. If you do not achieve this goal, then you do not sufficiently
understand the material and should re-read and re-study the text material. For
example, you are not achieving this goal if for most homework problems you find
yourself falling into this pattern:
a) You try a problem;
b) You check your answer and find that it is wrong;
c) You look back at the examples and text description;
d) You eventually discover and fix the mistake;
e) For the next problem, you repeat these steps.
•Homework assignments will not be collected, but
completion of homework assignments is essential for understanding the material
and for getting good scores on the homework quizzes and exams.
•Note: The tentative class schedule and the homework assignments are posted on
the class web page.
