Bob Gardner's Calculus 2, Summer 2012

Calculus 2 - Summer 2012

COURSE: MATH 1920-050; Call # 50145

TIME AND PLACE: 9:40-11:10 MTWRF and 8:15-9:30 MW in Gilbreath Hall 314

INSTRUCTOR: Dr. Robert Gardner

OFFICE HOURS: By appointment.

OFFICE: Room 308F of Gilbreath Hall

PHONE: 439-6979 (308F Gilbreath), Math Department Office 439-4349

E-MAIL: gardnerr@etsu.edu

WEBPAGE: http://faculty.etsu.edu/gardnerr/gardner.htm (see my webpage for a copy of this course syllabus, copies of the classnotes in PDF format, and updates for the course).

TEXT: Thomas' Calculus, Early Transcendentals, 12th edition, by G. Thomas as revised by M. Weir, and J. Hass.

SAMPLE TESTS: Copies of old tests, along with solutions, are available through online reserve on the Sherrod Library website. Go to the ETSU Web Catalog (http://libraries.etsu.edu/), click the "Author" tab, under "In this library" use the pulldown menu to select "ETSU Sherrod Library Reserves." Enter "Gardner" in the "Look for" area and the select "Search." This will allow you access to PDF copies of sample tests. Previous online syllabi may also contain sample tests.

ONLINE CLASS NOTES: Class notes will be given primarily in the form of overheads. Definitions, theorems, some proofs, and a few examples will be included on the overheads. Most examples and questions concerning homework problems will be written on the board. Copies of the overheads are on reserve in the library and available online at:

http://faculty.etsu.edu/gardnerr/1920/12/notes12.htm. It is strongly recommended that you get copies of the overheads before the material is covered in class. This will save you from writing down most notes in class and you can concentrate on listening and supplementing the notes with comments which you find relevant.

ADDITIONAL RESOURCES: Instructor's Solution Manual, Single Variable Calculus by W. Ardis contains worked-out solutions for all exercises in the text. Student's Solution Manual, Single Variable Calculus by W. Ardis contains worked-out solutions to all odd-numbered exercises in the text. Just-in-Time Algebra and Trigonometry for Calculus by G. Mueller and R.I. Brent contains a review of algebra and trig needed for calculus. A copy of each of these additional resources will be on reserve at the Sherrod Library.

PREREQUISITE: A passing grade in Calculus 1 (MATH 1910).

CALCULATORS: You may use a calculator for each test, but you will be required to show all work for the tests and if you rely on a sophisticated graphing calculator for solutions, you will get zero credit. You are here to learn calculus and the calculator may be used only as an aid. Whenever calculating derivatives, I will require that you use my "square brackets" notation. A handout will be given which illustrates this method and a version can be found online at:

http://faculty.etsu.edu/gardnerr/1920/square-brackets.pdf. A handout on the application of the TI-89 in Calculus 2 is available online at: http://faculty.etsu.edu/gardnerr/1920/ti89calc2.pdf.

GRADING: Your grade will be determined by the average on three tests (T₁-T₃). Your average is determined by

AVERAGE = (T₁ + T₂ + T₃)/3. Grades will be assigned based on a 10 point scale with "plus" and "minus" grades being assigned as appropriate (based on grade points assigned by the university, on a plus/minus 3 point system).

GATEWAY EXAM: The Gateway exam is not administered during summer terms.

CENTER FOR ACADEMIC ACHIEVEMENT: Located on the first floor of the Sherrod Library, the Center for Academic Achievement (CFAA) is the place to go for help with writing and speaking, library research, core math and science courses, and other subjects. The center offers tutoring on a walk-in and appointment basis and is open during library hours, including nights and weekends. Call 439-7848 or go to http://www.etsu.edu/academicaffairs/cfaa for more information.

STUDENT SUPPORT SERVICES: Student Support Services provides free individual tutoring to qualified individuals through their NEXUS program. The criteria state that the student must be: (1) a first-generation college student, meaning, neither of your natural parents has completed a four-year college degree, (2) income eligible, or (3) a student with a documented disability. For more details, see http://www.etsu.edu/sss/.

TEST SOLUTIONS: PDF files of test solutions will be available here:

Test 1

Test 2

Test 3

For more sample tests, also see my Summer 2011 Calculus 2 syllabus. You can find software that will perform the partial fraction decomposition used in section 8.4 at Wolfram Alpha.

NOTE: As you saw in Calculus 1, calculus is the "mathematics of motion." Because of its connection with the physical sciences, calculus is one of the most applicable areas of mathematics. You will see many of the concepts in this class again if you take the Technical Physics sequence or the introductory engineering classes. This material is certainly not easy, though! You should plan on investing a great deal of time in this class. If you allot an appropriate amount of time for your studies (at the very least 2 hours outside of class for each hour spent in the class) then I think this can be a pleasant and rewarding (intellectually and grade-wise) experience!

SYLLABUS ATTACHMENT: The official university syllabus attachment is online at:

http://www.etsu.edu/reg/documents/PDF/Syllabus_Attachment.pdf It contains general information about ETSU, such as where to go for help and the ETSU Honor Code.

IMPORTANT DATES: Official dates are posted at:

http://www.etsu.edu/etsu/academicdates.asp Wednesday, July 11 = Last day to register or add classes without a departmental permit.
Thursday, July 12 = Last day to drop without grade of "W".
Sunday, July 15 = Last day to add with a departmental permit.
Monday, July 16 = Begin late add with dean's permission only.
Wednesday, July 18 = Last day for 75% fee adjustment.
Wednesday, July 18 = Test 1 (6.1-6.6, 7.1, 7.2, 7.4).
Wednesday, July 25 = Last day for 25% fee adjustment.
Thursday, July 26 = LAST DAY TO DROP with a 'W' grade without dean's permission.
Wednesday, August 1 = Test 2 (8.1-8.7, 9.1-9.4).
Wednesday, August 8 = Last day to withdraw from the university.
Friday, August 10 = Test 3 (10.1-10.10).

COURSE OUTLINE

We will follow this tentative outline. "EOO" means Every Other Odd (that is, 1, 5, 9, 13, etc.).

DATE	AGENDA	HOMEWORK
MON 7/9a	6.1 = Volumes Using Cross-Sections	p. 371 = 1-61 (EOO)
MON 7/9b	6.2 = Volumes Using Cylindrical Shells	p. 379 = 1-45 (EOO)
TUE 7/10	6.3 = Arc Length	p. 386 = 1-29 (EOO)
WED 7/11a	6.4 = Areas of Surfaces of Revolution	p. 391 = 1-29 (EOO)
WED 7/11b	6.5 = Work and Fluid Forces	p. 398 = 1-45 (EOO)
THR 7/12	6.6 = Moments and Centers of Mass	p. 411 = 1-45 (EOO)
FRI 7/13	7.1 = The Logarithm Defined as an Integral	p. 425 = 1-53 (EOO)
MON 7/16a	7.2 = Exp. Change, Separable D.E.s	p. 433 = 1-45 (EOO)
MON 7/16b	7.4 = Relative Rates of Growth	p. 448 = 1-17 (EOO)
TUE 7/17	Review	-
WED 7/18	Test 1 (6.1-6.6, 7.1, 7.2, 7.4)	-
THR 7/19	8.1 = Integration by Parts	p. 459 = 1-73 (EOO)
FRI 7/20	8.2 = Trigonometric Integrals	p. 466 = 1-73 (EOO)
MON 7/23a	8.3 = Trigonometric Substitution	p. 470 = 1-53 (EOO)
MON 7/23b	8.4 = Integration of Rational Functions	p. 479 = 1-53 (EOO)
TUE 7/24	8.5 = Integral Tables and C.A.S.s 8.6 = Numerical Integration	p. 485 = 1-57 (EOO) p. 493 = 1-29 (EOO)
WED 7/25a	8.7 = Improper Integrals	p. 505 = 1-73 (EOO)
WED 7/25b	9.1 = Solutions, Slope Fields 9.2 = First-Order Linear Equations	p. 520 = 1-21, 37 (EOO) p. 526 = 1-29 (EOO)
THR 7/26	9.3 = Applications	p. 533 = 1-15 (ODD)
FRI 7/27	9.4 = Graphical Solutions of Autonomous Differential Equations	p. 540 = 1-19 (ODD)
MON 7/30a	10.1 = Sequences	p. 559 = 1-97 (EOO)
MON 7/30b	10.2 = Infinite Series	p. 569 = 1-93 (EOO)
TUE 7/31	Review	-
WED 8/1	Test 2 (8.1-8.7, 9.1-9.4)	-
THR 8/2	10.3 = The Integral Test	p. 575 = 1-49 (EOO)
FRI 8/3	10.4 = Comparison Tests	p. 580 = 1-57 (EOO)
MON 8/6a	10.5 = Ratio and Root Tests	p. 585 = 1-65 (EOO)
MON 8/6b	10.6 = Alternating Series	p. 591 = 1-53 (EOO)
TUE 8/7	10.7 = Power Series	p. 600 = 1-53 (EOO)
WED 8/8a	10.8 = Taylor and Maclaurin Series 10.9 = Convergence of Taylor Series	p. 606 = 1-45 (EOO) p. 613 = 1-49 (EOO)
WED 8/8b	10.10 = Applications of Power Series	p. 620 = 1-13, 25-65 (EOO)
THR 8/9	Review	-
FRI 8/10	Test 3 (10.1-10.10)	-

The departmental syllabus for this class also includes the sections 7.3 (Hyperbolic Functions) and 9.5 (Systems of Equations and Phase Planes). We will cover these sections if time permits.

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