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Math V21C, Fall 2018

Introduction and Announcements

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Welcome to Math V21C (Calculus with Analytic Geometry II) at Ventura College. Although Michael Bowen (email) is scheduled to teach this course during the fall 2018 term, an unexpected medical issue will require the appointment of a substitute instructor for at least the first several weeks of the semester. Your substitute is a fully qualified member of the Ventura College math faculty, and the duty of teaching this course will add to his/her already busy workload. Please take this into account, and consider volunteering to help your instructor with minor tasks such as (with the instructor's permission) offering to erase the whiteboards at the end of class meetings.

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.

Select any one of the following required texts.

    • Author: J. Stewart
    • Title: Calculus: Early Transcendentals, Eighth Edition
    • ISBN-13: 978-1285741550
    • Comment: This version is available online and in the Ventura College bookstore:
    • Author: J. Stewart
    • Title: Calculus: Early Transcendentals, Loose Leaf Eighth Edition
    • ISBN-13: 978-1305272354 (less expensive UNBOUND (loose pages) version; binder-ready)
    • Comment: Probably the least expensive option, but you must provide your own three-ring binder.
    • Author: J. Stewart
    • Title: Calculus: Early Transcendentals, Eighth Edition, plus Maple
    • ISBN-13: 978-1305782198 (this is the ISBN stocked at the Ventura College bookstore)
    • Comment (applicable to all versions of the text): If you purchased a satisfactory version of Stewart for V21A within the last three semesters, you do not need to purchase a new text.

DO NOT PURCHASE THE FOLLOWING TITLE, even though it is listed at the Ventura College Bookstore (there is an error in their listing). It is the wrong version of the Student Solutions Manual (keep reading down the page for the correct version).

    • Author: J. Stewart
    • Title: Student Solutions Manual for Single Variable Calculus: Early Transcendentals, Eighth Edition
    • ISBN-13: 978-1305272422
    • Comment (applicable to all versions of the text): This is the wrong version of the Student Solutions Manual (it only covers V21A and V21B); do not purchase!

If you use the Kindle or other digital version, you will want to be able to refer to the information during class, so be sure you own a compatible device (laptop, mobile phone, or e-reader) that you are willing and able to bring to class with you every day.

These additional texts are optional; select none, any, or all. (Note that when there is a conflict between the solution given in the textbook and the solution given in the student solutions manuals, the textbook is usually correct.)

    • Author: J. Stewart, R. St. Andre
    • Title: Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, Eighth Edition
    • ISBN-13: 978-1305279148
    • Author: J. Stewart
    • Title: Student Solutions Manual for Stewart's Multivariable Calculus (Chapters 10–17), Eighth Edition
    • ISBN-13: 978-1305271821

Holidays

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

Please note that Columbus Day and Halloween Day are not Ventura College holidays.

Homework Club (Office Hours) During Finals Period

Final Examination

Place/date/time:  Room SCI-353, Wednesday 19 December 2018, 10:15 a.m.

Important Note: This is 15 minutes later than our usual class meeting time!

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.

Students with Disabilities

Students with disabilities who may need accommodations in this class are encouraged to contact the Educational Assistance Center (EAC) as soon as possible to ensure that such accommodations are implemented in a timely manner. Authorization, based on verification of disability, is required before any accommodation can be provided. You may contact the EAC by telephone at (805) 289‑6300, or visit the EAC office in the Administration (ADM) Building on campus.

Topics: Top of Page | Homework Assignments | Final Exam Info | Students with Disabilities | Course Handouts and Study Aids

Homework Assignments

Overview: This table lists homework assignments and announces examinations. It contains four columns. First row: Column headers. Second and subsequent rows: The homework due for each section covered in the course. Details: The first row is the table header, with column headings describing the data listed in the main body of the table. The second and subsequent rows contain section numbers and titles, assigned problem numbers, and extra credit problems, if any. Column one of these rows contains a section number. Column two of these rows contains the corresponding section title. Column three lists the problem numbers for each section. Column four lists extra credit problems, if any.
§ Title Problems and Supplements E.C.
Handout (required) Obtain a PDF or DOC (Word) version of the Syllabus Worksheet, answer all 15 questions, and return it to the instructor by the second week of class.
(NOTE: This assignment is worth 15 points toward your final score in the class.)
WebAssign (optional) For students who wish to use WebAssign for OPTIONAL extra practice and have purchased an access code (possibly with your textbook), you will need to enroll yourself. The Class Key is "ventura 9022 4497" (without the quotes). You may follow these instructions to enroll via Canvas. (Scroll past the marketing video to view text instructions if you wish.) The suggested extra homework problems start in Week 2. Don't worry about the "due dates," as I am not collecting or grading these assignments. They are only for your own study.
12.1 Three-Dimensional Coordinate Systems 1–7 ODD; 11–37 ODD

Here are links to the video you saw in class on 8/22, plus another video about the fourth dimension that I found later.

(Historical note: Carl Sagan, who narrated the second video, was sort of the Neil deGrasse Tyson of the 1980s and 1990s; he was an outspoken scientist who created numerous videos and TV series on science, particularly physics and astronomy.) 		—
12.2 Vectors 1–37 ODD 40 (note that this problem is three-dimensional)
12.3 The Dot Product 1–51 ODD; 55 56
12.4 The Cross Product 1–37 ODD; 41; 45; 46; 47 50 (because the right side of the formula may also be written as ${\bf{b}}\left( {{\bf{a}} \cdot {\bf{c}}} \right) - {\bf{c}}\left( {{\bf{a}} \cdot {\bf{b}}} \right)$, this is sometimes called the "back-cab rule")
12.5 Equations of Lines and Planes 1–21 ODD; 25–53 EOO; 55–73 ODD
(see solution to #37) 		—
12.6 Cylinders and Quadric Surfaces 9–19 ODD; 21–28 ALL; 29–37 ODD; 43; 45; 47 49 (for parts (b) and (c), they are asking for the shapes of the intersection of these curves with the ellipsoid's surface; since the answers are in the back of the book, you must provide computational or explanatory justification to support these answers in order to earn credit)
13.1 Vector Functions and Space Curves 1–19 ODD; 21–26 ALL; 27; 29; 31; 41 —
13.2 Derivatives and Integrals of Vector Functions 1–43 ODD (graphs for 29 and 31 are optional); 47; 48 Graphs for 29 and 31 (may be hand-drawn or generated by computer); 50
13.3 Arc Length and Curvature 1–9 ODD; 13–33 ODD; 43–49 ODD 40
13.4 Motion in Space: Velocity and Acceleration 3–21 ODD; 35–41 ODD (you are not responsible for the section on Kepler's laws, either for homework or for the exam) 46
Chapter Test 1

(Chapters 12 & 13)

Wed. 26 Sep.

Recommended study-guide problems

(These are sample exam-like problems for practice purposes; do not turn in with your homework) 		(For students with minimal study time)
Page 842 (Exercises): 15–38 ALL
Page 882 (Exercises): 1; 2; 3; 5; 6; 8; 9; 11; 12; 13; 16; 17; 18; 19; 20
(For students with additional study time) The above plus some or all of
Page 841 (Concept check): 4; 11; 12; 15; 16; 17; 18
Page 849 (Concept check): 3; 4; 5; 7(a); 8
Additional problems taken from the unassigned homework exercises from chapters 12 & 13
14.1 Functions of Several Variables 5–19 ODD; 30; 31; 32; 41; 43; 45; 47; 57–65 ODD (all recommended if time permits; computer graphing system may be used to help you identify surfaces) —
14.2 Limits and Continuity 5–21 ODD (if you have trouble with #15, try approaching the origin along a parabola instead of a straight line); 27–37 ODD —
14.3 Partial Derivatives 1; 5; 7; 10; 11; 15–39 EOO; 41–69 ODD —
14.4 Tangent Planes and Linear Approximations 1; 3; 5; 11; 13; 15; 17; 19; 31; 33; 35 —
14.5 The Chain Rule 1–33 ODD 40
14.6 Directional Derivatives and the Gradient Vector 5–17 ODD; 39; 41; 43 56 (to prove this, you must show not only that the surfaces intersect at the given point, but that each surface has the same tangent plane at this point)
14.7 Maximum and Minimum Vales 5–19 ODD; 31–37 ODD; 55 44; 46
14.8 LaGrange Multipliers 3–19 ODD; 43 —
Chapter Test 2

(Chapter 14)

Mon. 5 Nov.

Recommended study-guide problems

(These are sample exam-like problems for practice purposes; do not turn in with your homework) 		(For students with minimal study time)
Page 982 (Exercises): 5; 6; 9; 10; 13–17; 19–29; 31–36; 43; 45–48; 51–56; 59–62; 64
(For students with additional study time) The above plus some or all of
Page 981 (Concept check): 3; 4; 6–9; 11; 12; 14; 16; 18(a); 19
Additional problems taken from the unassigned homework exercises from chapter 14
15.1 Double Integrals Over Rectangles 9; 11; 17–41 EOO; 47 —
15.2 Double Integrals over General Regions 1–29 EOO (all ODDs recommended if time permits); 37; 41; 45; 57 —
15.3 Double Integrals in Polar Coordinates 7–31 ODD 28
15.4 Applications of Double Integrals 1–17 EOO —
15.5 Surface Area Required: 1; 5; 9
Recommended: 3; 7; 11 		—
15.6 Triple Integrals 3–21 ODD; 27; 37; 41; 43 —
15.7 Triple Integrals in Cylindrical Coordinates 1–10 ALL; 17–27 ODD —
15.8 Triple Integrals in Spherical Coordinates 1–10 ALL; 17–20 ALL; 21–29 ODD; 37 —
15.9 Change of Variables in Multiple Integrals (No assignment) —
Chapter Test 3

(Chapter 15)

Mon. 3 Dec.

Recommended study-guide problems

(These are sample exam-like problems for practice purposes; do not turn in with your homework) 		(For students with minimal study time)
Page 1062 (Exercises): 3–7 ODD; 11–39 ODD; 42; 47; 60
(For students with additional study time) The above plus some or all of
Page 1062 (Exercises): 4–8 EVEN; 12–40 EVEN
Page 1061 (Concept check): 2; 3; 4; 7; 8; 9
Additional problems taken from the unassigned homework exercises from chapter 15
16.1 Vector Fields 11–18 ALL; 21–25 ODD; 29; 31; 33 —
16.2 Line Integrals 1–15 ODD; 19; 21; 29(a); 39; 41; 43 46
16.3 The Fundamental Theorem for Line Integrals 3–21 ODD; 35 33; 34
16.4 Green's Theorem 1–13 ODD; 17 —
16.5 Curl and Divergence 1–7 ODD; 12 (all parts); 13–17 ODD; 23–29 ODD 38
16.6 Parametric Surfaces and Their Areas 19–25 ODD; 33; 35; 39–47 ODD —
16.7 Surface Integrals 5–29 EOO —
16.8 Stokes' Theorem 3–9 ODD; 13–17 ODD —
16.9 The Divergence Theorem 5–17 EOO —
16.10 Summary (No assignment) —
Final Examination

(Chapter 16)

Recommended study-guide problems

(These are sample exam-like problems for practice purposes; do not turn in with your homework)

Bring your Chapter 16 homework to the final for up to 20 points credit! (Not extra credit!)

Exam starts at 10:15 a.m. on Wednesday 19 December 		(For students with minimal study time)
Page 984 (Exercises): 59; 61
Page 1149 (Exercises): 3; 5; 7; 9; 10(a); 11; 13; 17; 18; 25; 27; 29; 33; 37
(For students with additional study time) The above plus some or all of
Page 984 (Exercises): 60; 62
Page 1149 (Exercises): 2; 4; 6; 8; 10(b); 12; 14; 16; 28; 30; 34
Page 1148 (Concept Check): 2; 3; 4; 6; 8; 10; 11; 13
Page 1148 (True-False Quiz): 1–8 ALL
Remaining odd-numbered problems from the EOO homework assignments from chapter 16

Topics: Top of Page | Homework Assignments | Final Exam Info | Students with Disabilities | Course Handouts and Study Aids

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.

Course Handouts

Study Aids

Topics: Top of Page | Homework Assignments | Final Exam Info | Students with Disabilities | Course Handouts and Study Aids

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Michael Bowen's VC Course Pages: Math V21C, Fall 2018

Last modified: Friday 14 December 2018 08:00:00
Created by Michael Bowen (Professor of Mathematics)
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