Math V20 Start Page, Summer 2008
Introduction and Announcements
Welcome to the start page for Math V20 (Precalculus Mathematics) at Ventura College. Michael Bowen (email) will be teaching this course during the summer 2008 four-week term.
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
This text is required:
- Author: M. Sullivan
- Title: Precalculus, Eighth Edition
- ISBN-10: You may obtain either 0536453993 (if purchasing from VC bookstore) or 0132256886 (if purchasing elsewhere)
- ISBN-13: You may obtain either 9780536453990 (if purchasing from VC bookstore) or 9780132256889 (if purchasing elsewhere)
- VC bookstore price before tax: New $121.55; Used $91.20 (includes student supplement)
Final Examination
Date/time: Friday 13 June 2008 at 7:00 p.m.
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.
Grading Status
Check whether final grades are posted yet for your course.
Current Assignments
- These are listed in reverse chronological order.
- Note: "EOO" (every other odd) means to do problems
1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, etc. - Note: Please do "E.C." (extra credit) problems on a separate sheet of paper from the regular assignment.
| Due Date | § | Title | Problems | E.C. |
|---|---|---|---|---|
| Fri 13 Jun 2008 |
Final Examination (Chapters 8, 9, 10, 11, 12) Optional study problems suggested at right Homework questions will be discussed beginning at 5:30 p.m. Exam starts at 7:00 p.m. |
(For students with minimal study time) Page 545 (Chapter Test): 1; 2; 11; 12; Page 620 (Chapter Test): 1–9 ALL; Page 778 (Chapter Test): 7–16 ALL; Page 822 (Chapter Test): 1–13 ALL |
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(For students with additional study time) The above plus Page 541 (Review Exercises): 1–13 ODD; 47–53 ODD; Page 617 (Review Exercises): 1–23 ODD; Page 775 (Review Exercises): 21–43 ODD; Page 820 (Review Exercises): 1–47 ODD; 55–60 ALL; and Even-numbered problems from the ranges of the Chapter 8, 9, 10, 11, 12 homework assignments |
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| Fri 13 Jun 2008 | 10.3 | The Ellipse | 13–16 ALL; 17–73 EOO | — |
| 10.4 | The Hyperbola | 13–16 ALL; 17–57 EOO | — | |
| Thu 12 Jun 2008 | 11.4 | Matrix Algebra | Optional: 7–27 ODD; Required: 29–57 EOO; 59–63 ODD | — |
| 11.5 | Partial Fraction Decomposition | (No assignment) | — | |
| 11.6 | Systems of Nonlinear Equations | 25–53 ODD | — | |
| 10.1 | Conics | (No assignment) | — | |
| 10.2 | The Parabola | 11–19 ODD; 21–73 EOO | — | |
| Wed 11 Jun 2008 | 11.2 | Systems of Linear Equations: Matrices | 37–65 EOO | — |
| 11.3 | Determinants | (No assignment) | — | |
| Tue 10 Jun 2008 | 12.3 | Geometric Sequences; Geometric Series | 33–59 ODD; 67–73 ODD | — |
| 12.4 | Mathematical Induction | (No assignment) | 12; 14; 16 | |
| 12.5 | The Binomial Theorem | 5–45 ODD | 50 | |
| 11.1 | Systems of Linear Equations: Substitution and Elimination | (No assignment) | — | |
| Mon 9 Jun 2008 | 9.2 | Polar Equations and Graphs | 13–25 EOO; 29–35 ODD; 37–57 EOO | — |
| 9.3 through 9.7 | (No assignment) | — | ||
| 12.1 | Sequences | 1–77 EOO | — | |
| 12.2 | Arithmetic Sequences | 13–51 ODD | — | |
| Fri 6 Jun 2008 |
Chapter 6,7 Test Optional study problems suggested at right |
(For students with minimal study time) Page 424 (Chapter Test): 1–27 ALL; Page 492 (Chapter Test): 1–30 ALL |
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(For students with additional study time) The above plus Page 421: 1–87 ODD Page 490: 1–31 ODD; 41–79 ODD; 91–125 ODD Even-numbered problems from the ranges of the Chapter 6,7 homework assignments |
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| Fri 6 Jun 2008 | 7.7 | Trigonometric Equations (I) | 7–51 ODD | 70; 72; 74 |
| 7.8 | Trigonometric Equations (II) | 5–23 ODD; 29–51 ODD | — | |
| 8.1 | Applications Involving Right Triangles | 9–73 EOO | 79 | |
| 8.2 through 8.5 | (No assignment) | — | ||
| 9.1 | Polar Coordinates | 13–65 EOO; 67–81 ODD | — | |
| Thu 5 Jun 2008 | 7.3 | Trigonometric Identities | 9–101 EOO | — |
| 7.4 | Sum and Difference Formulas | 9–23 ODD; 27; 29; 31–37 ODD (parts abc only); 45; 47; 49; 53–61 ODD; 67 | — | |
| 7.5 | Double-angle and Half-angle Formulas | 7–79 ODD (but skip problems that contain tan, cot, sec, csc, or their inverses) | — | |
| 7.6 | Product-to-Sum and Sum-to-Product Formulas | (No assignment) | 43–46 ALL | |
| Wed 4 Jun 2008 | 6.5 | Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | 17; 21; 33; 37; 41; 43 | — |
| 6.6 | Phase Shift; Sinusoidal Curve Fitting | 3–19 ODD | — | |
| 7.1 | The Inverse Sine, Cosine, and Tangent Functions | 13–67 ODD | — | |
| 7.2 | The Inverse Trigonometric Functions (Continued) | 9; 11; 17; 21; 23; 25; 31; 35; 57; 59; 67–77 ODD | — | |
| Tue 3 Jun 2008 | 6.2 | Trigonometric Functions: Unit Circle Approach | 11–27 ODD; 29–93 EOO | — |
| 6.3 | Properties of the Trigonometric Functions | 37–85 EOO; 89–105 ODD | — | |
| 6.4 | Graphs of the Sine and Cosine Functions | 19–37 ODD; 45–70 multiples of 5; 71–79 ODD | — | |
| Mon 2 Jun 2008 |
Chapter 4,5 Test Optional study problems suggested at right Click to download the take-home portion of this exam (PDF) |
(For students with minimal study time) Page 238 (Chapter Test): 1–7 ALL; 10; 11 Page 340 (Chapter Test): 1–21 ALL; 23 |
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(For students with additional study time) The above plus Page 236: 1–87 ODD Page 336: 1–51 ODD; 55–81 ODD; 85; 89; 93 Even-numbered problems from the ranges of the Chapter 4,5 homework assignments |
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| Mon 2 Jun 2008 | 5.6 | Logarithmic and Exponential Equations | 5–59 ODD | — |
| 5.7 | Compound Interest | (No assignment) | 54; 56; 66 | |
| 5.8 | Exponential Growth and Decay Models | 1–25 EOO | — | |
| 6.1 | Angles and Their Measure | 23–89 ODD | — | |
| Fri 30 May 2008 | 5.2 | One-to-One Functions; Inverse Functions | 13–21 ODD; 27–45 ODD; 49–69 EOO; 73–76 ALL | — |
| 5.3 | Exponential Functions | 11; 15; 19; 29–36 ALL; 37–53 EOO; 57–75 ODD | — | |
| 5.4 | Logarithmic Functions | 9–35 ODD; 37–53 EOO; 59–62 ALL; 63–69 ODD; 73–85 EOO; 87–109 ODD | — | |
| 5.5 | Properties of Logarithms | 7–29 ODD; 33–61 ODD; 65–71 ODD | — | |
| Thu 29 May 2008 | 4.4 | Polynomial and Rational Inequalities | 3–19 ODD; 21–37 EOO | — |
| 4.5 | The Real Zeros of a Polynomial Function | 13–101 EOO | — | |
| 4.6 | Complex Zeros; Fundamental Theorem of Algebra | 7–39 ODD | — | |
| 5.1 | Composite Functions | 7–57 ODD | 76 | |
| Wed 28 May 2008 | 4.2 | Properties of Rational Functions | 13–51 ODD | — |
| 4.3 | The Graph of a Rational Function | 9–41 EOO; 45; 47 | — | |
| Tues 27 May 2008 |
Chapter 1,2,3 Test Optional study problems suggested at right |
(For students with minimal study time) Page 44: 1–10 ALL Page 114: 1–5 ALL; 7–10 ALL; 12 Page 160: 2; 3; 5; 6; 7 |
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(For students with additional study time) The above plus Page 43: 1–47 ODD Page 111: 1–35 ODD; 41–69 ODD; 73; 75abcd Page 158: 9–29 ODD; 43 Even-numbered problems from the ranges of the Chapter 1,2,3 homework assignments |
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| Tues 27 May 2008 | 3.3 | Quadratic Functions and Their Properties | 11–17 ODD; 21–49 EOO; 53–65 ODD | — |
| 3.4 | Quadratic Models | (No assignment) | — | |
| 3.5 | Inequalities Involving Quadratic Functions | (No assignment) | — | |
| 4.1 | Polynomial Functions and Models | 13–53 EOO; 57–60 ALL; 61–85 EOO | — | |
| 23–26 May 2008 | No class (holiday) | |||
| Thu 22 May 2008 | 2.5 | Graphing Techniques; Transformations | 7–18 ALL; 21–65 EOO; 69; 71 | — |
| 2.6 | Mathematical Models: Building Functions | 1–13 ODD; 23 (for graphing, you may use a calculator or computer; skip any problem parts that are shaded green) | — | |
| 3.1 | Linear Functions and Their Properties | (No assignment) | — | |
| 3.2 | Building Linear Functions from Data | (No assignment) | — | |
| Wed 21 May 2008 | 2.1 | Functions | 21–69 EOO | — |
| 2.2 | The Graph of a Function | 9–27 ODD; 29; 31abcd; 35 | — | |
| 2.3 | Properties of Functions | 11–20 ALL; 21–43 ODD; 53–61 ODD; 69abc; 71ace; 73–79 ODD | — | |
| 2.4 | Library of Functions; Piecewise-defined Functions | 9–16 ALL; 25–39 ODD; 45; 46; 47; 49; 55; 68 | — | |
| Tues 20 May 2008 | — | Syllabus Worksheet (obtain a copy) | ||
| 1.1 | The Distance and Midpoint Formulas | 11; 13; 17–61 EOO | 65 | |
| 1.2 | Graphs of Equations in Two Variables; Intercepts; Symmetry | 13–37 EOO; 39–49 ODD; 51–54 ALL; 57–81 EOO | — | |
| 1.3 | Lines | 13–97 EOO | — | |
| 1.4 | Circles | 9–41 EOO | — | |
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Future Assignments (tentative): The instructor may make changes to this list from time to time.
Students must not rely on printed versions of this list; instead, they should check the live online version periodically for possible updates.
Students who work ahead and complete one or more assignments in advance are taking a risk that the assignment(s) may change before the due date, in which case the advice in the preceding sentence is particularly applicable.
In any case, students are responsible for completing the assignments as finalized in the Current Assignments section above, and should not expect to earn extra credit for completing tentatively assigned exercises that are later modified or removed from this list.
- (Due dates have been designated for all remaining assignments; please see above)
- Course Handouts and Study Aids:
- The documents listed below are available for viewing or download. Please read the following bullets carefully before selecting any documents.
- To view documents in PDF format, we suggest that you first download and install the Adobe® Acrobat Reader™ on your computer if you have not done so previously. This free software is a de facto standard Web document viewer that will enable you to access content at this and many other websites. Alternatively, you may also use other software products capable of displaying or printing PDF format files (several such products are available for download, some at no cost). We recommend that you select this version of any document that you need to print on paper (for example, to replace a lost copy).
- Documents in HTML format are best for on-screen reading. Although these can usually be printed, they are not specifically designed to be printer-friently. Thus, the formatting may be odd in some cases, depending on the combination of software and printer, and text may spill over the margins onto two or more pages.
- Documents in DOC format were created using Microsoft® Word. If this software is installed on your computer, we suggest that you use it to view these documents. If you do not have this software, you can still view Word documents if you first download the Word Viewer. This is free software from Microsoft that will permit you to open (but not modify) documents created using any of the most recent versions of MS Word.
- Documents in PPT format are PowerPoint® presentations. If this software is installed on your computer, we suggest that you use it to view these documents. After your document opens in PowerPoint, press the F5 button to view the slide show in full-screen mode. If you do not have this software, you can still view PowerPoint documents if you first download the PowerPoint Viewer. This is free software from Microsoft that will permit you to open (but not modify) documents created using any of the most recent versions of MS PowerPoint.
- Handouts links
- Course Information: (HTML) | (PDF)
- Course Requirements and Grading, Side 1: (HTML) | (PDF)
- Course Requirements and Grading, Side 2: (HTML) | (PDF)
- Tips for Success: (HTML) | (PDF)
- Standards of Student Conduct and Classroom Rules (HTML) | (PDF)
- Syllabus Worksheet: (DOC) | (PDF)
- Instructor's Schedule (PDF; not really a handout; this is a copy of the printed schedule that appears on the instructor's office door)
- Study aids links
- Multiplication Tables: (DOC) | (PDF)
- Divisibility Rules: (DOC) | (PDF)
- Sieve of Eratosthenes (PDF) with directions (finds prime numbers) (HTML)
- Powers of Ten Tutorial (off-site; requires Java™ Runtime Environment [free download] to be installed and enabled on your computer): (HTML)
- Translating English Phrases Into Algebraic Expressions: (DOC) | (PDF)
- Multilingual Vocabulary for Mathematics (possibly helpful for students whose first language is not English): (HTML)
- Basic Algebra Review: (DOC) | (PDF)
- Basic Geometry Review: (PPT) | (PDF)
- Transformations of Functions (may require downloading and installation of free software to view all portions; see the page itself for details): (HTML)
- Essential Trigonometric Identities for Physics & Calculus: (DOC) | (PDF)
- Polar Graph Paper (PDF): 15-degree markings | 10-degree markings
