Math V20 Start Page, Spring 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 spring 2008 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.
Homework Club (Office Hours) During Finals Week
- Monday 5 May 2008: 3:30 to 5:30 p.m. at Tutorial Center (first floor of LRC building)
- Wednesday 7 May 2008: 3:30 to 5:30 p.m. at Tutorial Center (first floor of LRC building)
- Saturday 10 May 2008: 1:00 to 3:00 p.m. in room SCI-229 (park by the gym to avoid the swap meet traffic)
- Monday 12 May 2008: 4:00 to 5:00 p.m. in room SCI-229
- Tuesday 13 May 2008: 4:00 to 5:00 p.m. in room SCI-352
Final Examination
Date/time: Monday 12 May 2008 at 7:30 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. |
|---|---|---|---|---|
| 12 May 2008 |
Final Examination (Sections 8.1, 9.1, 9.2, 11.4, 12.1, 12.2, 12.3, 12.5) Optional study problems suggested at right Exam starts at 7:30 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, 11, 12 homework assignments |
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| 7 May 2008 | 11.4 | Matrix Algebra | Optional: 7–27 ODD; Required: 29–63 EOO | — |
| 5 May 2008 | 12.2 | Arithmetic Sequences | 13–51 ODD | — |
| 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 | |
| 28 Apr 2008 | 9.1 | Polar Coordinates | 13–65 EOO; 67–81 ODD | — |
| 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 | — | |
| 21 Apr 2008 | 8.1 | Applications Involving Right Triangles | 9–73 EOO | 79 |
| 8.2 through 8.5 | (No assignment) | — | ||
| 16 Apr 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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| 14 Apr 2008 | 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 | |
| 7.7 | Trigonometric Equations (I) | 7–51 ODD | 70; 72; 74 | |
| 7.8 | Trigonometric Equations (II) | 5–23 ODD; 29–51 ODD | — | |
| 7 Apr 2008 | 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 | — | |
| 7.3 | Trigonometric Identities | 9–101 EOO | — | |
| 31 Mar 2008 | 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 | — | |
| 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 | — | |
| 24 Mar 2008 | 6.1 | Angles and Their Measure | 23–89 ODD | — |
| 6.2 | Trigonometric Functions: Unit Circle Approach | 11–27 ODD; 29–93 EOO | — | |
| 14–23 Mar 2008 | No class (spring break) | |||
| 12 Mar 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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| 10 Mar 2008 | 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 | — | |
| 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 | — | |
| 3 Mar 2008 | 4.6 | Complex Zeros; Fundamental Theorem of Algebra | 7–39 ODD | — |
| 5.1 | Composite Functions | 7–57 ODD | 76 | |
| 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 | — | |
| 25 Feb 2008 | 4.5 | The Real Zeros of a Polynomial Function | 13–101 EOO | — |
| 20 Feb 2008 | 4.2 | Properties of Rational Functions | 13–51 ODD | — |
| 4.3 | The Graph of a Rational Function | 9–41 EOO; 45; 47 | — | |
| 4.4 | Polynomial and Rational Inequalities | 3–19 ODD; 21–37 EOO | — | |
| 15–18 Feb 2008 | No class (holiday) | |||
| 11 Feb 2008 | 4.1 | Polynomial Functions and Models | 13–53 EOO; 57–60 ALL; 61–85 EOO | — |
| 6 Feb 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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| 4 Feb 2008 | 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) | — | |
| 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) | — | |
| 28 Jan 2008 | 2.5 | Graphing Techniques; Transformations | 7–18 ALL; 21–65 EOO; 69; 71 | — |
| 23 Jan 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 | — | |
| 21 Jan 2008 | No class (holiday) | |||
| 14 Jan 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
