Calculus 1 - Summer 2000

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

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: Calculus and Analytic Geometry, 9th edition, by G. Thomas and R. Finney, Addison-Wesley.

ADDITIONAL RESOURCES: Instructor's Solution's Manual by M. Weir, contains worked-out solutions for all exercises in the text. Answer Book contains short answers to most exercises in the text. Student Study Guide by M. Weir, gives study tips and additional practice. Student Solutions Manual by M. Weir contains worked-out solutions to all odd-numbered exercises in the text. 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).

IMPORTANT DATES:

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 6/5a 1.1 = Rates of Change and Limits, 1.2 = Rules for Finding Limits 1.1 = 1-37 (EOO), 1.2 = 1-53 (EOO)
MON 6/5b 1.3 = Formal Definition of Limit 1.3 = 1-57 (EOO)
TUE 6/6 1.4 = Extensions of Limit Concept 1.4 = 1-65 (EOO)
WED 6/7a 1.5 = Continuity 1.5 = 1-69 (EOO)
WED 6/7b 1.6 = Tangent Lines 1.6 = 1-41 (EOO)
THR 6/8 2.1 = Derivative, 2.2 = Differentiation Rules 2.1 = 1-61 (EOO), 2.2 = 1--53 (EOO)
FRI 6/9 2.2 (cont.), 2.3 = Rates of Change 2.3 = 1-33 (EOO)
MON 6/12a 2.3 (cont.), 2.4 = Trig Functions 2.4 = 1-73 (EOO)
MON 6/12b 2.5 = Chain Rule 2.5 = 1-77 (EOO)
TUE 6/13 2.6 = Implicit Differentiation 2.6 = 1-69
WED 6/14a 2.7 = Related Rates 2.7 = 1-37 (EOO)
WED 6/14b Test 1 (1.1-1.6) -
THR 6/15 3.1 = Extreme Values of Functions, 3.2 = Mean Value Theorem 3.1 = 1-33 (EOO), 3.2 = 1--49 (EOO)
FRI 6/16 3.2 (cont.), 3.3 = First Derivative Test 3.3 = 1-45 (EOO)
MON 6/19a 3.4 = Graphing with y' and y" 3.4 = 1-93 (EOO)
MON 6/19b 3.5 = Asymptotes and Dominant Terms 3.5 = 1-105 (EOO)
TUE 6/20 3.6 = Optimization 3.6 = 1-57 (EOO)
WED 6/21a 3.7 = Linearization and Differentials 3.7 = 1-63 (EOO)
WED 6/21b Test 2 (2.1-3.2) -
THR 6/22 3.6, 3.7 (cont.), 3.8 = Newton's Method 3.8 = 1-25 (EOO)
FRI 6/23 4.1 = Indefinite Integrals 4.1 = 1-69 (EOO)
MON 6/26a 4.2 = DEs and IVPs 4.2 = 1-53 (EOO)
MON 6/26b 4.3 = "u substitution" 4.3 = 1-57 (EOO)
TUE 6/27 4.5 = Riemann Sums 4.5 = 1-81 (EOO)
WED 6/28a 4.6 = Area, Mean Value Theorem 4.6 = 1-49 (EOO)
WED 6/28b Test 3 (3.3-4.2) -
THR 6/29 4.6 (cont.), 4.7 = Fundamental Theorem of Calculus 4.7 = 1-81 (EOO)
FRI 6/30 4.8 = Substitution, 4.9 = Numerical Integration 4.8 = 1-33 (EOO), 4.9 = 1-37 (EOO)
MON 7/3a 5.1 = Areas Between Curves, 5.2 = Finding Volumes by Slicing 5.1 = 1-53 (EOO), 5.2 = 1-13 (EOO)
MON 7/3b 5.3 = Volumes by Disks and Washers 5.3 = 1-41 (EOO)
TUE 7/4 INDEPENDENCE DAY HOLIDAY -
WED 7/5a 5.4 = Cylindical Shells 5.4 = 1-37 (EOO)
WED 7/5b 5.5 = Arclength 5.5 = 1-25 (EOO)
THR 7/6 5.6 = Surface Areas of Revolution 5.6 = 1-31 (EOO)
FRI 7/7 Review/Catch Up -
MON 7/10 Test 4 (4.3, 4.5-5.6) -

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