Math V46A Start Page, Spring 2009

Introduction and Announcements

Welcome to the start page for Math V46A (Applied Calculus I) at Ventura College. Michael Bowen (email) will be teaching this course during the spring 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:

• Author: M. Lial
• Title: Calculus with Applications, Brief Version, Ninth Edition OR Custom Edition for Ventura College
• ISBN-10: 0-321-42274-0
• ISBN-13: 978-0-321-42274-3

Holidays

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

• Monday 19 Jan 2009 (King's Birthday)
• Friday 13 Feb through Monday 16 Feb 2009 (Presidents' Day)
• Friday 3 Apr through Friday 10 Apr 2009 (Spring break)

Homework Club (Office Hours) During Finals Week

• Monday 11 May 2009: 7:00 to 8:30 p.m. at Math Center (SCI-223)
• Tuesday 12 May 2009: 2:00 to 3:00 p.m. at Tutorial Center (first floor of LRC building)
• Wednesday 13 May 2009: 1:00 to 2:30 p.m. at Tutorial Center (first floor of LRC building)
• Thursday 14 May 2009: 11:15 a.m. to 12:15 p.m. at Math Center (SCI-223)
• Saturday 16 May 2009: 10:00 to 11:00 a.m. at Math Center (SCI-223)

Final Examination

Date/time:  Friday 15 May 2009, 7:30 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.

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.
15 May 2009	Final Examination (Chapters 7–8 and Integration Using Tables Optional study problems suggested at right Bring your Chapter 7/8 homework to the final to turn in (up to 20 points credit) Exam starts at 7:30 a.m.		Page 498 (Review Exercises): 5–25 ODD; 45–51 ODD; 61; 65; 71 Page 541: 5–15 ODD; 35 Page 552: 2–38 EVEN
13 May 2009	Page 552	Integration Using Tables	1–19 ODD; 21–37 EOO (Note: Table II begins on page 558 of the text) In case you do not have the VC version of the textbook, here are the missing pages: PDF scan of page 552 Solutions to odd problems PDF scan of page 558	—
11 May 2009	7.1	Antiderivatives	5–41 ODD; 45–51 ODD	—
	7.2	Substitution	3–35 EOO	—
	7.3	Area and the Definite Integral	7–13 ODD; 17; 19; 21	—
	7.4	The Fundamental Theorem of Calculus	1–29 ODD; 41; 43	—
	7.5	The Area Between Two Curves	1–21 EOO (originally announced as all ODDs in class, but I know you have a lot to do, so I cut back)	—
	7.6	Numerical Integration	(No assignment)	—
	8.1	Integration by Parts	1–19 ODD (this has changed from what was announced in class)	—
	If your computer runs or supports Windows, click this: Worked solutions to selected Chapter 7 problems
6 May 2009	Chapter 5 & 6 Test Optional study problems suggested at right		(For students with minimal study time) Page 359: 1–4 ALL; 5–45 EOO (note: for problems 29 through 45, do not follow the book's instructions; instead, use the instructions for problems 57 through 64 on page 342, and verify your answers by checking against the relative maximums and minimums labeled on the graphs sketched in the back of the book [the sketches also include inflection points, but do not clearly distinguish between critical points and inflection points]) Page 421: 11–17 ODD; 18
			(For students with additional study time) The above plus Page 358: 1–12 ALL Page 359: Remaining odd problems from 7–43 (note: for problems 27 through 43, do not follow the book's instructions; instead, use the instructions for problems 57 through 64 on page 342, and verify your answers by checking against the relative maximums and minimums labeled on the graphs sketched in the back of the book [the sketches also include inflection points, but do not clearly distinguish between critical points and inflection points]) Page 421: 10–16 EVEN Even-numbered problems from the ranges of the Chapter 5 and Chapter 6 homework assignments
4 May 2009	5.3	Higher Derivatives, Concavity, and the Second Derivative Test	1–15 ODD; 29–45 EOO; 57–63 ODD	72; 74
	6.4	Implicit Differentiation	1–31 ODD	—
27 Apr 2009	5.1	Increasing and Decreasing Functions	1–33 EOO; 35; 37	—
	5.2	Relative Extrema	1–35 ODD	—
22 Apr 2009	Chapter 4 Test Optional study problems suggested at right		(For students with minimal study time) Page 294: 1–39 ODD; 45–53 ODD; 57 (see page 258 to review); 59; 61; 69
			(For students with additional study time) The above plus Page 294: 2–40 EVEN; 44–52 EVEN; 58; 60; 62 Even-numbered problems from the ranges of the Chapter 4 homework assignments
	If your computer runs or supports Windows, click this: Worked solutions to selected Chapter 4 problems
20 Apr 2009	4.4	Derivatives of Exponential Functions	1–33 ODD; 37	60
	4.5	Derivatives of Logarithmic Functions	1–43 ODD	65 (note that log x, specified without an explicit base, means log10 x)
13 Apr 2009	4.3	The Chain Rule	1–41 ODD; 54abcde (OK to use decimal approximations; round to two places); 57 Answers to #54: (a) $148.78; (b) $187.29; (c) $214.34; (d) 24(x2 + x)2/3 / x; (e) Obtain the derivative of the answer to (d) above	—
	3–12 Apr 2009	No class (spring break)
30 Mar 2009	4.1	Techniques for Finding Derivatives	1–33 ODD; 51; 53; 55	—
	4.2	Derivatives of Products and Quotients	1–33 ODD	—
25 Mar 2009	Chapter 3 Test Optional study problems suggested at right		(For students with minimal study time) Page 226: 5–43 ODD; 47; 48
			(For students with additional study time) The above plus Page 226: 6–44 EVEN Even-numbered problems from the ranges of the Chapter 3 homework assignments
23 Mar 2009	3.5	Graphical Differentiation	7–15 ODD	—
16 Mar 2009	3.3	Rates of Change	1–17 ODD; 25; 29; 31; 35ab; 37ab; 41abcde; 43	—
	3.4	Definition of the Derivative	1–23 ODD; 33; 35; 37; 47; 49	—
2 Mar 2009	3.1	Limits	1–51 ODD	—
	3.2	Continuity	1–27 ODD; 35; 37; 39	—
20 Feb 2009	Chapter 1 & 2 Test Optional study problems suggested at right		(For students with minimal study time) Page 50: 3–31 ODD; 33; 35; 41; 43; 45; 49 Page 140: 1–63 ODD; 69–79 ODD; 91
			(For students with additional study time) The above plus Page 50: 4–30 EVEN; 34; 36; 42; 44; 50 Page 140: 2–64 EVEN; 68–80 EVEN Even-numbered problems from the ranges of the Chapter 1 & 2 homework assignments
18 Feb 2009	2.6	Applications: Growth and Decay; Mathematics of Finance	7–25 ODD	—
13–16 Feb 2009	No class (holiday)
9 Feb 2009	2.3	Polynomial and Rational Functions	21; 23; 25; 27; 31; 35; 39; 47; 51	—
	2.4	Exponential Functions	13–27 ODD; 33–45 EOO	—
	2.5	Logarithmic Functions	1–61 EOO	—
2 Feb 2009	2.2	Quadratic Functions; Translation and Reflection	3; 5; 7; 9; 13; 17; 21; 23; 25; 31; 33; 49–65 EOO	—
26 Jan 2009	—	Syllabus Worksheet (obtain a copy)
	2.1	Properties of Functions	9–33 EOO; 37–79 ODD	—
21 Jan 2009	1.1	Slopes and Equations of Lines	Required: 1–37 EOO; 45–61 ODD; 65abcd; 69; 73 Optional: Remaining problems 3–33 EOO; 47–75 EOO;	43
	1.2	Linear Functions and Applications	Required: 1–14 ALL; 19–25 ODD; 29; 33; 37	—
	1.3	The Least Squares Line	(No assignment)	—
19 Jan 2009	No class (holiday)

Future Assignments

• These are 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.
• 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)

§ Title Problems E.C. 5.4 TBD TBD — 6.1 TBD TBD — 6.2 TBD TBD — 6.5 TBD TBD — 6.6 TBD TBD — -->

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.

• PDF (Adobe® Acrobat Reader™) is the best format to use if you want to print on paper (for example, to replace a lost copy).
• HTML files are not, for the most part, printer-friendly; this is the best format for on-screen reading, and if you can read these words, you already have the software!
• DOC files are in the native Microsoft® Word format; if you do not have Word, use this Word Viewer from the Microsoft web site (this software can display Word files, but cannot modify them).
• PPT files are PowerPoint® presentations; if you do not have PowerPoint, use this PowerPoint Viewer, again from the Microsoft web site.

Course Handouts

• 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

• 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)
• Rectangular Graph Paper (PDF):  5 squares to the inch  |  2.5 squares to the inch
• Transformations of Functions (may require downloading and installation of free software to view all portions; see the page itself for details):  (HTML)

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.