Math V21A Start Page, Spring 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 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.

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

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:  Tuesday 13 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.
13 May 2008	Final Examination Recommended study problems suggested at right Exam starts at 7:30 p.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))
			(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
6 May 2008	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	—
29 Apr 2008	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	—
22 Apr 2008	4.2	Mean Value Theorem	1–7 ODD; 11–25 ODD	—
	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
	4.7	Optimization Problems	1–33 EOO; 41; 49; 57	63
15 Apr 2008	4.1	Maximum and Minimum Values	29–43 ODD; 47–61 ODD	—
10 Apr 2008	Chapter 3 Test Recommended 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
			(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
8 Apr 2008	3.9	Related Rates	Finish assignment from last week (see below)	—
	3.10	Linear Approximations and Differentials	1; 3; 5 (graph is optional); 11–27 ODD; 33–39 ODD	—
	3.11	Hyperbolic Functions	1–21 ODD; 31–47 ODD; 51–55 ODD	48; 52; 57
1 Apr 2008	3.7	Rates of Change in the Natural and Social Sciences	1; 3; 5; 9; 13; 15; 17; 19; 21; 29; 33	—
	3.8	Exponential Growth and Decay	1; 3; 5; 9–19 ODD	—
	3.9	Related Rates	1–13 ODD; 17–41 EOO	—
25 Mar 2008	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)	—
14–23 Mar 2008	No class (spring break)
11 Mar 2008	3.2	The Product and Quotient Rules	3–33 ODD	—
	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
4 Mar 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)
28 Feb 2008	Chapter 2 Test Recommended study problems suggested at right		(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
			(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
26 Feb 2008	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	—
19 Feb 2008	2.6	Limits at Infinity; Horizontal Asymptotes	13–33 EOO; 39–43 ODD; 49; 51	(Last day to turn in Hotel Infinity for credit)
		See corrected solution (PDF) to in-class problem (section 2.6 #26)
14–18 Feb 2008	No class (holiday)
12 Feb 2008	2.4	The Precise Definition of a Limit	(Finish remaining problems from last week's assignment)	—
	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
5 Feb 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
	2.4	The Precise Definition of a Limit	15–31 ODD; 42; 43 (note: try these through #23; we'll finish the rest next week)	—
29 Jan 2008	2.1	The Tangent and Velocity Problems	1; 5; 9a	—
24 Jan 2008	Chapter 1 Test Recommended study problems suggested at right		(For students with minimal study time) Page 74 (Exercises): 1–3; 5–17; 19; 22–26
			(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
22 Jan 2008	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	—
21 Jan 2008	No class (holiday)
15 Jan 2008	—	Syllabus Worksheet (obtain a copy)
	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)	—

• 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