
ALGEBRA SYLLABUS 2002
Professor MedinaGreen
TEXT
SCOPE
This course will introduce the student prealgebra, algebra and its major structures, namely groups, rings, integral domains, and fields.
OBJECTIVES
The student will:
1. Be exposed to the basic structures of algebra groups, rings, and fields.
2. Do computations in the context of specific examples of each of these structures.
3. Read and write proofs in the context of specific examples as well as in abstract settings.
GRADES
1. Course grades will be based on daily work, exams, and class participation.
2. Your grade will be determined be adding all of your points from daily work and exams.
3. The curve is: 10090 A, 8089 B, 7079 C, 6069 D, 059 A.
FINAL EXAM
1. To be announced later.
DAILY WORK
1. Homework is due before the class begins. You are strongly encouraged to work alone, but most students find it helpful to work with someone else.
ATTENDANCE
You are expected to attend all class sessions. Three unexcused absences will result in one letter grade reduction. A student with excessive absences will be refereed to the office. You are absent if you are not present when roll is taken. It is the student's responsibility to make arrangements for excused absences prior to class. I will make the final decision on what constitutes an excused absence.
READING AND WRITING
You are expected to read the textbook and to work the examples. Improving your mathematical reading skills is a priority of this course. You will be expected to write out answers to questions in a neat, organized form. Just "guessing the answer" will not be enough. You must also be able to communicate the process used in finding your answer.
MAKEUP AND LATE WORK
1. Quizzes and group work may not be made up.
2. Exams may be taken late provided arrangements are made prior to the exam.
3. It is the responsibility of the student making an arrangement with the teacher to make up a missed exam.
COMMUCATIONS
1. You are encouraged to send questions, comments by email.
2. Visit the Links page to find other practical problems.
DISABILITIES
1. Any student who may require special arrangements in order to meet course requirements should contact me as soon as possible to make necessary accommodations.
2. You must bring medical evidence of your condition.
SKILLS
1. Addition, Subtraction, Multiplication, and Division of Whole Numbers.
2. Addition, Subtraction, Multiplication, and Division of Decimals.
3. Compare Decimals and Fractions; >,<,=
4. Addition, Subtraction, Multiplication, and Division of Fractions (same denominator).
5. Using the protractor: find angle measurements and identify them.
6. Perimeter and Area.
7. Percentages.
8. Fractions, Decimals and Percent.
FRACTIONS
1. Simplify fractions to the lowest term.
2. Compare fractions using the following symbols; <,>,=
3. Add proper, improper, and mixed fractions.
4. Subtract proper, improper, and mixed fractions.
5. Subtract proper, improper, and mixed fractions.
6. Multiply proper, improper, and mixed fractions.
7. Division of proper, improper, and mixed fractions.
STATISTICS
1. Graphs: Bar, Pie, and linear graphs.
2. Construct Graphs
3. Obtain information from a graph
4. Mean, Median and Mode
+ AND  NUMBERS
1. Integers and the number line
2. Add integers
3. Compare rational numbers
4. Multiply integers
5. Basic knowledge of square roots
EQUATIONS
1. Find Value of Variable.
In this course the students will learn how to add, subtract, multiply, and divide real numbers. They will also learn how to solve linear equation. Other skills that will be part of the course are: addition, subtraction, multiplication, and division of polynomials, factorization of algebraic expressions and solving quadratic equations.
OBJECTIVES
At the end of this course the student will be able to;
1. Graph real numbers.
2. Compare real numbers.
3. Find the opposite and the absolute value of each number.
4. Represent mathematics word expressions in numeric expressions and like equations.
5. Add and subtract real numbers with the number line.
5. Simplify expressions with the distributive property.
6. Multiply and divide real numbers.
7. Find the reciprocal of any real numbers.
8. Solve equations that involve the four basic operations.
9. Use several transformations to find the value of the variable in any equations.
10. Simplify expressions with or without grouping symbols.
11. Evaluate algebraic expressions.
12. Solve quadratic equations with the quadratic formula.
13. Simplify exponential expressions.
14. Represent expressions in exponential form.
15. Add and subtract polynomials.
16. Find like terms.
17. Multiply monomials, polynomials by monomials and by polynomials.
18. Find exponents of three monomials.
19. Factor whole numbers.
20. Find the great common factor.
21. Simplify quotients of monomials and find the great common factor of the monomials.
22. Divide polynomials by monomials.
23. Factorize differences of two squares.
24. Simplify products of the form ( a+b ) ( ab)
25. Factorize polynomials.
26. Use the grouping method to factorize polynomials.
27. Factorize using different methods.
28. Solve problems in each topic.
© Math Program 2002
