Calculus 1 - Summer 2001

COURSE: MATH 1110-010

TIME: 8:00-9:30 MTWRF and 9:40-10:55 MW, PLACE: Room 313 of Gilbreath Hall

INSTRUCTOR: Dr. Robert Gardner, OFFICES: Rooms 308G of Gilbreath Hall, Room 201 of Brown Hall

OFFICE HOURS: TRF 9:30--10:30, MW by appointment

PHONE: 439-6977 (308G), 439-8684 (201), Math Office 439-4349

E-MAIL: gardnerr@etsu.edu , HOMEPAGE: www.etsu.edu/math/gardner/gardner.htm (see my homepage for a copy of this course syllabus and updates for the course).

TEXT: Thomas' Calculus, 10th edition, based on the original work by G. Thomas, as revised by R. Finney, M. Meir and F. Giordano, Addison-Wesley.

CLASS NOTES: We will use overheads for most of the lecture, except for problem solving and working examples. Copies of the overheads are on the web at:

http://www.etsu.edu/math/gardner/1110/notes.htm
Hard copies will also be on reserve in the library.

ADDITIONAL RESOURCES: Instructor's Solution's Manual, Part I by M. Weir, contains worked-out solutions for all exercises in the text. Student Study Guide, Part I by M. Weir, gives study tips and additional practice. A copy of each of these additional resources will be on reserve in the library.

GRAPHING CALCULATORS: "The designated calculator for Calculus 1 and 2 will be the TI89. The TI92 is also suitable" [Schedule of Classes Bulletin, Spring 2000, ETSU, p. 58].


TI 89
TI 92
You may use the calculator for each test, but you will be required to show all work for the tests and if you rely on the calculator for solutions, you will get zero credit. You are here to learn calculus and the calculator will 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: www.etsu.edu/math/gardner/1110/squareb.htm

NOTE: Calculus is the "mathematics of motion." We will see many applications of the Calculus 1 material which involve motion and dynamics. Because of this 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. This material is certainly not easy, though! You should plan on investing a great deal of time in this class. Not only do you have the burden of learning calculus, but you must also deal with this graphing calculator. If you alot an appropriate amount of time for your studies (at least 2 hours outside of class for each hour spent in class) then I think this can be a pleasant and rewarding (intellectually and gradewise) experience!

GRADING: Your grade will be determined by the average on four tests (T1 - T4). Your average is determined by

AVERAGE = (T1+T2+T3+T4)/4.
Grades will be assigned based on a 10 point scale with "plus" and "minus" grades being assigned as appropriate.

MATH LAB: The Mathematics Laboratory is located in Rooms 308 and 309 of Warf-Pickle Hall. It is staffed by graduate students and upper level undergraduates. They are there to help you! Hours of operation are Monday-Thursday 11:30-7:30, Sunday 1:30-5:30. The phone number is 439-5968. The Math Hotline is 439-8586 (for short questions).

ONLINE HELP: The Addison Wesley Longman Math Tutor Center is available online at www.awl.com/tutorcenter. It provides assistance to students who take calculus and purchase a mathematics textbook published by Addison Wesley Longman. Help is provided via phone, fax, and e-mail. Students who use the service will be helped by tutors who are qualified mathematics instructors.

CD-ROM AND WEB SITE: The CD-ROM included with the text has several interactive features and tutorials. It includes video clips of real-world situations which provide motivation for learning and applying calculus. The text web site (www.awl.com/thomas) has the "Just-in-Time" Online Algebra and Trigonometry web-based testing and tutorial system which allows students to practice the algebra and trigonometry skills critical to mastering calculus. The Interactive Calculus Tutorial is an online tutorial which lets students review textbook-specific material by chapter through practice quizzes and diagnostic feedback on their performance. The Skill Mastery Quizzes are a collection of chapter-by-chapter quizzes on the web site which can be administered and graded online for skills-based mastery assessment.

IMPORTANT DATES:

TENTATIVE OUTLINE: We will try to adhere to the following schedule. "EOO" means Every Other Odd (that is, 1, 5, 9, 13, etc.).

DATE AGENDA HOMEWORK
MON 6/4a 1.1 = Rates of Change and Limits 1.1 = 1-45 (EOO)
MON 6/4b 1.2 = Finding Limits and One-Sided Limits 1.2 = 1-41 (EOO)
TUE 6/5 1.3 = Limits Involving Infinity 1.3 = 1-45 (EOO)
WED 6/6a 1.4 = Continuity 1.4 = 1-37 (EOO)
WED 6/6b 1.5 = Tangent Lines 1.5 = 1-41 (EOO)
THR 6/7 2.1 = Derivative 2.1 = 1-37 (EOO)
FRI 6/8 2.2 = Rate of Change 2.2 = 1-29 (EOO)
MON 6/11a 2.3 = Products, Quotients, Negative Powers 2.3 = 1-29 (EOO)
MON 6/11b Test 1 (1.1-1.5) -
TUE 6/12 2.4 = Trigonometric Functions 2.4 = 1-41 (EOO)
WED 6/13a 2.5 = Chain Rule, Parametric Functions 2.5 = 1-65 (EOO)
WED 6/13b 2.6 = Implicit Differentiation 2.6 = 1-57 (EOO)
THR 6/14 2.7 = Related Rates 2.7 = 1-37 (EOO)
FRI 6/15 3.1 = Extrema of Functions 3.1 = 1-53 (EOO)
MON 6/18a 3.2 = Mean Value Theorem and DEs 3.2 = 1-45 (EOO)
MON 6/18b 3.3 = Shape of a Graph 3.3 = 1-61 (EOO)
TUE 6/19 3.4 = Solving DEs Graphically 3.4 = 1-17 (EOO)
WED 6/20a 3.5 = Optimization 3.5 = 1-57 (EOO)
WED 6/20b Test 2 (2.1-2.7) -
THR 6/21 3.5 (cont.) -
FRI 6/22 3.6 = Linearization and Differentials 3.6 = 1-41 (EOO)
MON 6/25a 3.7 = Newton's Method 3.7 = 1-29 (EOO)
MON 6/25b 4.1 = Indefinite Integrals and DEs 4.1 = 1-65 (EOO)
TUE 6/26 4.2 = u-substitution 4.2 = 1-45 (EOO)
WED 6/27a 4.3 = Finite Sums 4.3 = 1-21 (EOO)
WED 6/27b Test 3 (3.1-3.7) -
THR 6/28 4.4 = Riemann Sums, Definite Integrals 4.4 = 1-37 (EOO)
FRI 6/29 4.5 = Fundamental Theorem of Calculus 4.5 = 1-49 (EOO)
MON 7/2a 4.6 = u-Substitution in Definite Integrals 4.6 = 1-41 (EOO)
MON 7/2b 4.7 = Numerical Integration 4.7 = 1-21 (EOO)
TUE 7/3 5.1 = Volumes by Slicing 5.1 = 1-57 (EOO)
WED 7/4a INDEPENDENCE DAY HOLIDAY -
WED 7/4b INDEPENDENCE DAY HOLIDAY -
THR 7/5 5.2 = Volumes by Shells 5.2 = 1-33 (EOO)
FRI 7/6 5.3 = Lengths of Curves 5.3 = 1-29 (EOO)
MON 7/9a Brief Review -
MON 7/9b Test 4 (4.1-5.2) -

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