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Michael Bowen's VC Course Pages

Math V03 (12:30) Start Page, Fall 2009

Introduction and Announcements

Welcome to the start page for Math V03 (Intermediate Algebra) at Ventura College. Michael Bowen (email) will be teaching this course during the fall 2009 semester.

Important note: This web page is not a substitute for attending class; regular attendance is an expectation of this course. Modifications to homework assignments, and other important news announced in class, may not appear on this page for several days. You are still responsible for all assignments and in-class announcements even if they do not appear here! If you wish to verify information on this page, please contact the instructor.

Textbook Information

The ISBN number is provided as a convenience if you wish to purchase this item online. The VC bookstore may stock a different ISBN number; either may be used for the course. If you buy from the bookstore, obtain the least expensive version you can find; do not pay extra for MyMathLab, WebAssign, or other software. If you obtain the book from another source, please be sure to obtain the correct edition, as noted below. Older editions are, of course, much less expensive, but the homework problems are different. This will place you at a disadvantage relative to your classmates on quizzes, which are taken directly out of the homework problems in the current edition.

This text is required:

Holidays

Classes at Ventura College will meet Monday through Friday each week of the semester, excepting only the dates listed below.

Final Examination

Date/time:  Friday 11 December 2009, 1:00 p.m. (last-minute questions answered beginning at 12:30)

Be sure that your big party to celebrate the end of finals occurs after the appropriate date. Requests for administration of early or late finals that require the instructor to reschedule his work or make a special trip to campus are subject to a deduction of points, regardless of the reason for the request.

Current Assignments

Due
Date
§ Title Problems E.C.
23 Nov 2009 6.1 Rational Functions and Multiplying and Dividing Rational Expressions Required: 1–11 ODD; 13–69 EOO; 71; 73
Recommended: Remaining ODD problems from 15–67 if time permits and you need extra practice
6.2 Adding and Subtracting Rational Expressions Required: 1–45 ODD
Recommended: 47–67 ODD
6.3 Simplifying Complex Fractions (No assignment)
6.4 Dividing Polynomials (No assignment)
6.5 Solving Equations Containing Rational Expressions 1–47 ODD; 63; 65 72
7.1 Radicals and Radical Functions 1–51 ODD; 85–91 ODD (requires graph paper)
18 Nov 2009 Chapter Test 3

(Sections 5.1–5.2 and 5.4–5.8)


Recommended study problems suggested at right
(For students with minimal study time)
Page 335 (Test): 1–4; 9–29
(For students with additional study time)
The above plus
Page 332 (Review): 1–15 ALL; 20–35 ALL; 58–135 ODD (or ALL if time permits); and
Additional problems taken from the unassigned homework exercises
16 Nov 2009 5.1 Exponents and Scientific Notation (Recommended, if you need review; please note that this section will be included on the next exam) 1–89 EOO
5.2 More Work with Exponents and Scientific Notation (Recommended, if you need review; please note that this section will be included on the next exam) 1–65 EOO
5.3 Polynomials and Polynomial Functions (No assignment)
5.4 Multiplying Polynomials 1–47 ODD; 49–77 EOO; 81; 83; 85
5.5 The Greatest Common Factor and Factoring by Grouping 9–21 ODD; 25–31 ODD; 33–73 EOO (additional odd problems from 35–75 strongly suggested if you need extra practice) 90; 92
5.6 Factoring Trinomials 1–85 EOO (additional odd problems from 3–87 strongly suggested if you need extra practice) 106; 108
5.7 Factoring by Special Products 1–65 ODD;
Problems 29–33 employ grouping using a 3+1 method instead of the usual 2+2 method;
Problems 35–65 may include any of the four basic factoring methods
5.8 Solving Equations by Factoring and Problem Solving 1–25 ODD; 29–65 EOO; 71–87 EOO; 89–94 ALL
10 Nov 2009 Chapter Test 2

(Sections 3.2, 3.3, and 4.1–4.5)


Optional study problems suggested at right
(For students with minimal study time)
Page 200 (Test): 2–9; 22–25
Page 253 (Test): 1–15
(For students with additional study time)
The above plus
Page 197 (Review): 19–54 ALL
Page 251 (Review): 1–55 ODD (or ALL if you have time); and
Additional problems taken from the unassigned homework exercises
10 Nov 2009 4.1 Solving Systems of Linear Equations in Two Variables 7–63 ODD 88; 90; 92
4.2 Solving Systems of Linear Equations in Three Variables 5–31 ODD
4.3 Systems of Linear Equations and Problem Solving 1; 3; 7; 9–45 EOO
4.4 Solving Systems of Equations by Matrices 1–23 ODD
4.5 Systems of Linear Inequalities 1–23 ODD
2 Nov 2009 3.2 Introduction to Functions 1–17 ODD; 23–39 ODD; 55–81 ODD
3.3 Graphing Linear Functions 1–11 ODD; 23–31 ODD; 35–59 ODD
3.4 The Slope of a Line (No assignment)
3.5 Equations of Lines (No assignment)
3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions (No assignment)
3.7 Graphing Linear Inequalities (No assignment)
28 Oct 2009 Chapter Test 1

(Sections 2.1–3.1)


Optional study problems suggested at right
(For students with minimal study time)
Page 115 (Test): 1–10 ALL; 14–26 ALL; 28
Page 200 (Test): 2; 3; 4; 5; 8; 9
(For students with additional study time)
The above plus
Page 113 (Review): 1–32 ALL; 47–84 ALL; 85; 86; 87; 90–101 ALL
Page 197 (Review): 7–18 ALL; 106; 107; 117; 118; and
Additional problems taken from the unassigned homework exercises
26 Oct 2009 Syllabus Worksheet (obtain a copy) (NOTE: This assignment is worth 15 points.)
2.1 Linear Equations in One Variable 1–65 EOO
2.2 An Introduction to Problem Solving (No assignment)
2.3 Formulas and Problem Solving (No assignment) 24
2.4 Linear Inequalities and Problem Solving 1–77 EOO
2.5 Compound Inequalities 1–69 EOO
2.6 Absolute Value Equations 1–23 ODD; 27–71 EOO
2.7 Absolute Value Inequalities 1–27 ODD; 29–81 EOO
3.1 Graphing Equations 27–53 ODD

Future Assignments

§ Title Problems E.C.
7.2 Rational Exponents Required: 1–97 EOO
Recommended: 1–97 ODD
7.3 Simplifying Radical Expressions 1–81 ODD
7.4 Adding, Subtracting, and Multipling Expressions Required: 1–73 EOO
Recommended: 1–73 ODD
7.5 Rationalizing Denominators and Numerators of Radical Expressions Required: 1–47 ODD
Recommended for students who eventually need to take calculus: 49–77 ODD
7.6 Radical Equations and Problem Solving 1–21 ODD; 25–49 EOO
7.7 Complex Numbers 1–83 ODD; 99; 101; 103
Chapter Test 4

(Sections 6.1, 6.2, 6.5, Chapter 7)


(Last chapter test before the final exam)

Optional study problems suggested at right

Warning: Check all answers to equations by direct substitution!
(For students with minimal study time)
Page 409 (Test): 1–14 ALL; 21; 22; 23; and
Page 475 (Test): 1–13 ALL; 15–34 ALL
(For students with additional study time)
The above plus
Page 406 (Review): 1–35 ALL; 63–69 ALL; 83–92 ALL; 97; 98; and
Page 472 (Review): 1–23 ALL; 26–48 ALL; 55–70 ALL; 72–107 ALL; 114–154 ALL; and
Additional problems taken from the unassigned homework exercises
8.1 Solving Quadratic Equations by Completing the Square 1–25 ODD; 37–73 EOO
8.2 Solving Quadratic Equations by the Quadratic Formula 1–39 ODD 52; 94; 96
8.3 Solving Equations by Using Quadratic Methods 1–55 ODD
8.4 Nonlinear Inequalities in One Variable 1–53 EOO
8.5 Quadratic Functions and Their Graphs 1–53 EOO
8.6 Further Graphing of Quadratic Functions 1–41 EOO 46; 52
9.1 The Algebra of Functions; Composite Functions 1–35 ODD
9.2 Inverse Functions 11–39 ODD; 47; 49
9.3 Exponential Functions 1–15 ODD; 21–35 ODD 42; 44
9.4 Logarithmic Functions 1–81 EOO
9.5 Properties of Logarithms 25–61 EOO 72; 74; 76; 78 (all must be completed to earn credit)
9.6 Common Logarithms, Natural Logarithms, and Change of Base 1–31 ODD; 33–49 EOO; 51–59 ODD
9.7 Exponential and Logarithmic Equations and Applications 1–41 EOO; remaining odd problems recommended if time permits
10.1 The Parabola and the Circle TBD
10.2 The Ellipse and the Hyperbola TBD
Final Examination

(Chapters 8–10)


Optional study problems suggested at right

Bring your Chapter 8/9/10 homework to the final to turn in (up to 20 points credit)

Exam starts at 1:00 p.m.
(For students with minimal study time)
Page 537 (Test): 1–20 ALL; 22
Page 599 (Test): 1–10 ALL; 12–26 ALL
(For students with additional study time)
The above plus
Page 536 (Review): 1–6 ALL; 13–28 ALL; 31; 32; 34; 36; 37; 41–52 ALL; 57–67 ALL
Page 596 (Review): 1–12 ALL; 15–30 ALL; 32–41 ALL; 45–90 ALL; 93; 94; 97–110 ALL; and
Additional problems taken from the unassigned homework exercises

Course Handouts and Study Aids

The documents listed below are available for viewing or download. The list below provides links to download free software to read the file formats of the various documents.

Course Handouts

Study Aids

Will You Succeed or Fail in Mathematics?

This checklist is adapted from a handout prepared by math and philosophy instructor Steve Thomassin. It will allow you to compare your approach to a mathematics course to the approaches taken by successful … and unsuccessful … students.

Attribute Type Predictor of Success Predictor of Failure
Attitude Focus on things that are under your control. Blame things that are out of your control (the text, the instructor, or "the system") for your difficulties.
Be optimistic. Believe that you can do it. Be pessimistic. Convince yourself that you will fail.
Be positive. Find ways to make math interesting and fun. Be negative. Find ways to make math dull and painful.
Be open. See the uses, power, patterns, and magic of mathematics. Be closed. Blind yourself to math's uses and its practical and esthetic value.
Be practical. Make yourself aware of the doors that passing each math class opens to you. Be impractical. Ignore the doors that open when you pass a math class.
Class Work Attend every class. Aim for perfect attendance, even if you already know it all. Be absent often. Dig a hole so deep that you cannot climb out except by dropping the course.
Be focused. Concentrate on the math topic at hand. Be mentally elsewhere. Daydream. Talk. Distract and annoy neighboring students.
Take good notes. Solve problems along with the instructor. Avoid participating in the discussion. Just watch the instructor.
Be inquisitive. Ask questions so that the instructor knows what you would like to learn more about. Be uninterested. Make the instructor guess what it is that you might be confused about.
Homework Be regular. Always do at least some homework before the next class, and finish by the due date. Be sporadic. Do homework only when it easily fits your schedule.
Invest time. Spend double to triple the amount of in-class time. Invest little time. Spend less time doing homework than you spend in class.
Review notes; read text; do all assigned problems (maybe even more), and check the answers. Ignore notes and text explanations; try a few problems, and don't bother checking to see if they are right.
Getting Help When needed, take advantage of all opportunities: study groups, tutors, instructor office hours. Even when lost, never seek assistance.

http://academic.venturacollege.edu/mbowen/courses/2009aki/m03_1230.shtml

Michael Bowen's VC Course Pages: Math V03 (12:30) Start Page

Last modified: Thursday 19 November 2009 08:38:15
Created by Michael Bowen (Professor of Mathematics)
Department of Mathematics, Ventura College, California, USA
Ventura College is an independent college within the Ventura County Community College District.
Please email comments, questions, suggestions, or a notification if you find a "broken" link.
As an alternative, you may leave a voice message at (805) 654–6400, ext. 1336.


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