MAT 009 Intermediate Algebra, Section 01, CRN 28665, Spring 2004

 

Class meets: MWF, 10:00-10:50 in room SBS D121

Instructor: Serban Raianu
Office: NSM A123
Office hours: MWF 10:55-12:15, or by appointment.
Phone: (310)243-3139
Email: sraianu@csudh.edu ; URL: http://www.csudh.edu/math/sraianu

 

Revised Course Description

MAT 009 covers polynomials, rational expressions, roots and radicals, quadratic equations, exponents and logarithms, graphs, applications.

MAT 009 meets for three hours of lecture per week. It is a pre-collegiate course. It is graded on a CR/NC basis and does not count toward the Bachelor's degree.

Prerequisites

To be eligible to enroll in MAT 009, a student must have

  • earned a passing grade ("C" or "CR" or equivalent) in a course equivalent to MAT 003,
  • or earned a score or 40 or better on the new ELM test (March 2002 or later) or a score of 480 or higher on the old ELM test,
  • or earned a sufficiently high score on the math SAT or ACT test. (Ask the math department or the University Advising Center for details if you think this applies to you).

Textbook

Introductory and Intermediate Algebra (2nd ed.) by Lial, Hornsby, McGinniss, published by Addison-Wesley. Chapters 6.5-11. (The first part of this text is covered in MAT 003).

Objectives

After completing MAT 009 the student should be able to

  • demonstrate proficiency in the skills taught in MAT 009 and its prerequisite course MAT 003
  • divide polynomials, solve simple polynomial and rational equations by factoring or using the quadratic formula, understand and use direct and inverse variation;
  • understand and use algebraic expressions involving roots, radicals and fractional exponents and their graphs;
  • understand and use logarithms and exponential and logarithmic functions and their graphs;
  • reformulate practical problems in algebraic language and apply algebraic techniques to solve them using the correct units (inches, kilograms, etc.);
  • produce clear, concise, and correct written arguments showing the steps used in manipulating algebraic expressions and solving algebraic problems.

Grading and Attendance Requirements

Grades in MAT 009 are based on homework, tests, a final exam, and class participation and attendance, in the following proportions.

Homework, attendance, class participation, quizzes, etc. =

15% of grade

1st Midterm =

18% of grade

2nd Midterm =

18% of grade

3rd Midterm =

18% of grade

Final exam =

31% of grade

 

----

 

100% of grade

Students must earn a total (homework, etc. plus midterms plus final) of 70% or more to pass the course.

Grading policy regarding homework, class participation, attendance, quizzes, etc. is determined by the instructor. This is the most important component of the course because students who study hard, do their homework correctly and on time, attend class regularly, and participate actively in class do well on midterms and exams and can expect to pass the course. Students who fail in one or more of these areas will do poorly on exams and fail the course.

Midterms and the final exam are produced by the math department and are common for all sections of MAT 009.

Make-up Exams

The math department does not generally provide makeup exams for students who miss regularly scheduled exams. It is the student's responsibility to make whatever arrangements are necessary to ensure that he or she is able to take exams at the regularly scheduled place and time.

Expected outcomes

Students should be able to demonstrate through written assignments, tests, and/or oral presentations, that they have achieved the objectives of MAT 009.

Method of Evaluating Outcomes

Evaluations are based on homework, class participation, short tests and scheduled examinations covering students' understanding of and skill with the algebra of polynomials, factoring, quadratic equations, exponents, roots, and logarithms, graphs, applications to practical problems, mathematical writing, and related topics that are covered in MAT 009.

Academic Integrity

The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".)

 

Math 009 Exam Dates and Homework Schedule - Spring 2004

MAT 009 is the second half of a two-course sequence. Students in MAT 009 are responsible for all the material that was covered in the first course of the sequence, MAT 003. This includes all the material in chapters 1-6.4 in the text. If you feel that you are not ready for MAT 009 please come to the math department office NSM A124 and we will try to make arrangements to move you to MAT 003.

Week

Chapter

Suggested Homework

Week 1
Jan. 26-30

6.5 Integer Exponents, Quotient Rule

1,3,5,7, 9, 11, 13, 17, 19, 23, 27, 33, 35, 37, 39, 41, 45, 47, 53, 57, 59, 61, 63, 67

6.6 Dividing Polynomial by Monomial

1-5, 7, 11, 19, 23, 25, 27, 29, 31, 33-36

6.7 Quotient of Two Polynomials

1, 2, 5, 9, 11, 13, 15, 23, 25, 29, 31, 35

Week 2
Feb. 2-6

6.8 Scientific Notation

1, 3, 7, 9, 15, 21, 23, 27, 29, 33, 37, 39, 43, 45, 47, 49

7.1 Greatest Common Factor

1, 3, 5, 7, 11, 15, 17, 21, 23, 27, 29, 31, 33, 37, 45, 49, 51, 53, 55, 63, 65, 69

7.2 Factoring Trinomials

1-4, 5, 7, 9, 11, 17, 21, 27, 33, 37, 39, 45, 51, 55, 57

Week 3
Feb. 9-13

7.3 Factoring Trinomials by Grouping

1, 7, 11, 13, 15, 21, 27, 33, 35, 37, 39

7.4 Factoring Trinomials using "FOIL"

1, 5, 7, 11, 13, 15, 21, 27, 29, 31, 37, 43, 45, 49, 51-56

7.5 Special Factoring Techniques

3, 5, 11, 15, 17, 19, 23, 25, 27, 29, 31, 33, 41, 49, 51, 53, 61, 65, 71

Week 4
Feb. 16-20

7.6 Solving Quadratic Equations by Factoring

1, 5, 11, 15, 17, 19, 23, 31, 35, 41, 49, 53, 57, 59

7.7 Applications of Quadratic Equations

1, 2, 3, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 31

Review

Read Chapter 6,7 Summaries. Review all exercises in Chapter 6,7 Reviews. Review Chap 6,7 tests and Cumulative review sections. Work any exercises that look hard.

Week 5
Feb. 23-27

Exam 1: Monday Feb. 23

8.1 Multiplying, Dividing Rational Expressions

1-7, 9, 11, 15, 19, 23, 25, 29, 33, 37, 41, 47, 51, 59, 61, 67, 71, 75, 79

8.2 Adding, Subtracting Rational Expressions

1, 2, 3, 7, 9, 15, 19, 27, 31, 33, 35, 37, 43, 49, 53, 57, 59

Week 6
Mar. 1-5

8.3 Compound (aka "Complex") Fractions

3, 5, 7, 9, 13, 17, 19, 27, 29, 31

8.4 Graphs and Equations with Rational Expressions

1, 3, 5, 7, 13, 15, 19, 21, 25, 29, 35, 39, 41, 47

8.5 Applications of Rational Expressions

1, 3, 7, 9, 11, 13, 17, 19, 23, 27, 31, 33, 35, 39, 41, 43, 45, 47, 49, 51, 53, 55

Week 7
Mar. 8-12

8.6 Variation

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 31, 35, 37, 39, 41-46

9.1 Radical Expressions and Graphs

1-12, 13, 15, 17, 19, 21, 25, 31, 33, 37, 39, 41, 45, 53, 55, 61, 63, 67, 69, 73, 75, 77, 79, 81, 85, 89, 91, 93, 95

9.2 Rational Exponents

1, 3, 7, 9, 11, 17, 19, 23, 27, 31, 35, 37, 43, 47, 49, 51, 53, 57, 59, 63, 67, 71, 73, 75, 77, 79, 81, 83, 91

Week 8
Mar. 15-19

9.3 Simplifying Radical Expressions

1, 3, 7, 9, 13, 15, 19, 23, 25, 29, 37, 43, 45, 47, 53, 57, 65, 75, 81, 83, 85, 87, 91, 93, 95, 99

Review

Review sections 9.1-9.3 and Chapter 9 summary, sections 9.1-9,3. Also read Chapter 8 Summary, review all exercises in Chapter 8 Review. Review Chap 8 test and Cumulative review sections. Work any exercises that look hard.

Week 9
Mar. 22-26

Exam 2: Monday Mar. 22

9.4 Adding and Subtracting Radical Expressions

1-4, 5, 7, 11, 15, 17, 21, 23, 25, 27, 29, 33, 37, 39, 41

9.5 Multiplying and Dividing Radical Expressions

1-6, 7, 11, 15, 17, 23, 25, 27, 31, 35, 39, 43, 47, 51, 55, 63, 65, 69, 73, 77, 81

Spring Break: Mar. 26 - Apr. 3

Week 10
Apr. 5-9

9.6 Equations with Radical Expressions

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 27, 31, 33, 35, 37, 41, 43

[Skip 9.7]

10.1 Solving Quadric Equations: Square Roots

1, 3, 5, 9, 15, 17, 21, 25, 27, 29, 37, 39

10.2 Solving Quadratic Equations: Completing the Square

1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 27, 31, 33, 41-46

Week 11
Apr. 12-16

10.3 Solving Quadratic Equations: Quadratic Formula

1, 3, 5, 7, 11, 13, 15, 19, 29, 31, 33, 37

10.4 Equations Quadratic in Form

1, 3, 5, 7, 11, 17, 19, 21, 23, 25, 27, 33, 35, 41, 45, 47, 51

10.5 Formulas, Further Applications

1, 3, 5, 9, 13, 15, 17, 19, 21, 23, 25, 27, 29, 33, 35, 37, 41

Week 12
Apr. 19-23

10.6 Graphs of Quadratic Equations

1, 3, 5, 9, 13, 15, 17, 19, 21, 23, 25, 27, 29, 39, 41, 43, 45, 46

10.7 Parabolas, Applications

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 31, 33, 35

[Skip 10.8]

Review

Read Chapter 9,10 Summaries except 9.7, 10.8. Review all exercises in Chapter 9 review except 82-86, 90-96, 109-111. Review all exercises in Chapter 10 Review except 58-63, 65. Review Chap 9 test problems 1-18 and Chapter 10 test problems 1-23. Review Cumulative review section. Work any exercises that look hard.

Week 13
Apr. 26-30

Exam 3: Monday Apr. 26

11.1 Inverse Functions

1, 3, 7, 9, 11, 13, 15, 19, 21, 23, 25, 27, 29, 31, 37

11.2 Exponential Functions

1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 27, 28

Week 14
May 3-7

11.3 Logarithmic Functions

1, 3, 5, 7, 11, 13, 15, 17, 21, 25, 27, 33, 39, 51, 53a,b, 55

11.4 Properties of Logarithms

1,3, 5, 7, 9, 13, 15, 19, 21, 23, 25, 27, 29

Week 15
May 10-14

11.5 Common and Natural Logarithms

1, 3, 5, 7, 11, 15, 17, 21, 29, 31, 35, 37, 39, 41

11.6 Exponential and Logarithmic Functions

1-4, 5, 9, 11, 15, 17, 23, 25, 31, 39, 43, 45, 49, 51, 53, 55

Review

Review the whole course, chapter summaries, reviews, etc.. Read Chapter 11 Summary. Review all exercises in Chapter 11 review. Review all exercises in Chapter 11 Review. Review Chap 11 test problems. Review Cumulative review section. Work any exercises that look hard.

May 17-21

Final Examination: Monday May 17, 10:00-12:00.