Math V21A Start Page, Summer 2008
Introduction and Announcements
Welcome to the start page for Math V21A (Calculus/Analytic Geometry I) at Ventura College. Michael Bowen (email) will be teaching this course during the summer 2008 six-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: J. Stewart
- Title: Calculus: Early Transcendentals, Sixth Edition
- ISBN-10: 0495486167 (if purchasing from VC bookstore) or 0495011665 (if purchasing elsewhere)
- ISBN-13: 9780495486169 (if purchasing from VC bookstore) or 9780495011668 (if purchasing elsewhere)
- VC bookstore price before tax: New $202.00; Used $151.50 (this text will be used in V21B and V21C also)
This text is optional:
- Author: J. Stewart
- Title: Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, Sixth Edition
- ISBN-10: 0495012394
- ISBN-13: 9780495012399
Final Examination
Date/time: 30 July 2008, 10:00 a.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.
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. |
|---|---|---|---|---|
| 24 Jul 2008 | 4.3 | How Derivatives Affect the Shape of a Graph | 1–23 ODD; 31; 33–53 EOO; 69; 77 | — |
| 4.4 | Indeterminate Forms and L'Hospital's Rule | 5–63 EOO | — | |
| 4.5 | Summary of Curve Sketching | 1–51 EOO; 61–65 ODD | 53; 56 | |
| 4.6 | Graphing with Calculus and Calculators | (No assignment) | 2; 4; 6; 8 | |
| 22 Jul 2008 |
Chapter 3 Test Optional study problems suggested at right |
(For students with minimal study time) Page 262 (Exercises): 1–53 ODD; 57–61 ALL; 63ab; 65; 67; 83; 87; 89abc; 92–94 ALL; 97; 99; 101; 103a |
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| (For students with additional study time) The above plus Page 262 (Exercises): 2–54 EVEN; 68; 84; 88; 90; 96; 98; 102ac; 104 Page 261 (Concept check): 2; 5 Page 261 (True-false quiz): 1–12 ALL Even-numbered problems from the ranges of the Chapter 3 homework assignments |
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| 22 Jul 2008 | 3.11 | Hyperbolic Functions | 1–21 ODD; 31–47 ODD; 51–55 ODD | 48; 52; 57 |
| 4.1 | Maximum and Minimum Values | 29–43 ODD; 47–61 ODD | — | |
| 4.2 | Mean Value Theorem | 1–7 ODD; 11–25 ODD | — | |
| 17 Jul 2008 | 3.8 | Exponential Growth and Decay | 1; 3; 5; 9–19 ODD | — |
| 3.9 | Related Rates | 1–13 ODD; 17–41 EOO | — | |
| 3.10 | Linear Approximations and Differentials | 1; 3; 5 (graph is optional); 11–27 ODD; 33–39 ODD | — | |
| 15 Jul 2008 | 3.3 | Derivatives of Trigonometric Functions | 1–23 ODD; 25a; 27a; 29; 35; 39–47 ODD | — |
| 3.4 | The Chain Rule | 1–53 ODD; 81 (graph is optional) | 70; 90 | |
| 3.5 | Implicit Differentiation | 1–19 ODD; 25; 27; 29; 33; 35; 39; 41; 45–53 ODD; 57–61 ODD | — | |
| 3.6 | Derivatives of Logarithmic Functions | 1–51 ODD (graphs on 35 are optional) | — | |
| 3.7 | Rates of Change in the Natural and Social Sciences | 1; 3; 5; 9; 13; 15; 17; 19; 21; 29; 33 | — | |
| 10 Jul 2008 | 3.1 | Derivatives of Polynomials and Exponential Functions | 9–35 ODD; 39–42 ALL (just find the derivative; don't worry about the graphs); 45; 49; 51; 55; 71 | 64; 70; 77 (must show steps to earn credit) |
| 3.2 | The Product and Quotient Rules | 3–33 ODD | — | |
| 8 Jul 2008 |
Chapter 2 Test Optional study problems suggested at right (Last day to turn in Hotel Infinity for credit) |
(For students with minimal study time) Page 167 (Exercises): 1–19 ODD; 21–24 ALL; 25; 27; 29–38 ALL; 39ab; 40–44 ALL; 45ab; 46abc; 47; 48; 52 |
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| (For students with additional study time) The above plus Page 167 (Exercises): 4–20 EVEN; 26; 28 Page 165 (Concept check): 2; 4; 6–15 ALL Page 166 (True-false quiz): 1–20 ALL Even-numbered problems from the ranges of the Chapter 2 homework assignments |
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| 8 Jul 2008 | 2.6 | Limits at Infinity; Horizontal Asymptotes | 13–33 EOO; 39–43 ODD; 49; 51 | — |
| 2.7 | Derivatives and Rates of Change | 5–21 EOO; 25–35 ODD | — | |
| 2.8 | The Derivative as a Function | 1–11 ODD; 19–29 ODD; 41; 43; 57 | — | |
| 3 Jul 2008 | 2.4 | The Precise Definition of a Limit | 15–31 ODD; 42; 43 | — |
| 2.5 | Continuity | 3; 9–27 ODD; 31–39 ODD; 45–51 ODD | Write down how Hotel Infinity accommodated all the passengers from Infinity Bus Lines; specifically, how the room assignments were rearranged | |
| 1 Jul 2008 | 2.2 | The Limit of a Function | 5; 7; 9; 17–31 ODD; 37 | 40 |
| 2.3 | Calculating Limits Using the Limit Laws | 1–29 ODD; 35; 39; 43; 49 | 52 | |
| 26 Jun 2008 |
Chapter 1 Test Optional study problems suggested at right |
(For students with minimal study time) Page 74 (Exercises): 1–3; 5–17; 19; 22–26 |
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(For students with additional study time) Page 73 (Concept check): 1; 3; 4; 6; 9–12 ALL Page 73 (True-false quiz): 1–13 ALL The above plus even-numbered problems from the ranges of the Chapter 1 homework assignments |
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| 24 Jun 2008 | — | Syllabus Worksheet (obtain a copy) | ||
| 1.5 | Exponential Functions | 5; 7; 9; 25 | — | |
| 1.6 | Inverse Functions and Logarithms | 5; 7; 9; 11; 21; 23; 25 Optional extra practice 33–39; 59–64 if you are "rusty" on log or trig functions |
— | |
| 2.1 | The Tangent and Velocity Problems | 1; 5; 9a | — | |
| 19 Jun 2008 | 1.1 | Four Ways to Represent a Function | 1; 5; 6; 7; 8; 13; 17; 19–43 ODD; 45–61 EOO; 65; 67; 69 | — |
| 1.2 | Mathematical Models | 1; 3; 5; 9; 11; 13; 17; 19; 20 | — | |
| 1.3 | New Functions from Old Functions | 1–7 ODD; 9–21 EOO; 29–45 EOO; 51; 57; 63 | — | |
| 1.4 | Graphing Calculators and Computers | (No assignment) | — | |
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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 to be determined)
| § | Title | Problems | E.C. |
|---|---|---|---|
| 4.7 | Optimization Problems | 1–33 EOO; 41; 49; 57 | 63 |
| 4.8 | Newton's Method | (No assignment, although we may return to this section later) | — |
| 4.9 | Antiderivatives | 1–17 EOO; 25–45 EOO; 57; 59; 61 | — |
| 5.1 | Areas and Distances | 1; 5; 11; 15; 17; 19 | — |
| 5.2 | The Definite Integral | 1; 5; 17; 19; 27; 33 | — |
| 5.3 | The Fundamental Theorem of Calculus | 7–41 ODD | — |
| 5.4 | Indefinite Integrals and the Net Change Theorem | 1–17 ODD; 21–43 ODD; 57a; 59 (in part (b), replace "distance" with "displacement", which means your answer won't agree with the back of the book); 61 | — |
| 5.5 | The Substitution Rule | 1–45 ODD; 51–69 ODD | — |
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Final Examination Optional study problems suggested at right Exam starts at 10:00 a.m. |
(For students with minimal study time) Page 348 (Exercises): 1–13 ODD; 18; 19–33 ODD; 45; 47; 53–73 ODD; 79a; 79c Page 409 (Exercises): 1–37 ODD; 43; 45; 47; 57; 59; 67 (use the Substitution Rule and set u = f(x)) |
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(For students with additional study time) The above plus Page 348 (Exercises): 2–14 EVEN; 20–34 EVEN; 46; 48; 50–58 EVEN; 62–74 EVEN; Page 347 (Concept check): 1–7 ALL Page 347 (True-false quiz): 1–20 ALL Page 409 (Exercises): 8–38 EVEN; 44; 46; 48; Page 408 (Concept check): 4b; 5; Page 409 (True-false quiz): 1–15 ALL; and Even-numbered problems from the ranges of the Chapter 4 & 5 homework assignments |
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- 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
