| Calculus 1 - Summer 1999 |
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 308L and 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. HP-48G/GX Calculator Enhancement for Science and Engineering Mathematics contains details on using the designated graphing calculator. A copy of each of these additional resources will be on reserve in the library.
GRAPHING CALCULATORS: A graphing calculator is required for this course. In class, we will use the HP48G for illustration. You may use any type of graphing calculator that you like (such as a TI), but you are on your own as to the operation of these other types of calculators. You may use (and will need) the calculator for each test. You may not refer to any manual while taking a test, so you must be knowledgeable as to how your calculator works. You are here to learn calculus and the machine is to be used as an aid. I will make every effort to avoid allowing the class to become distracted by the glittering technology, since the mathematics is our raison d'etre! Click here for some suggestions (prepared by Dr. Lyndell Kerley) on the use of the HP.
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
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!
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 6/7a | 1.1 = Rates of Change and Limits, 1.2 = Rules for Finding Limits | 1.1 = 1-37 (EOO), 1.2 = 1-53 (EOO) |
| MON 6/7b | 1.3 = Formal Definition of Limit | 1.3 = 1-57 (EOO) |
| TUE 6/8 | 1.4 = Extensions of Limit Concept | 1.4 = 1-65 (EOO) |
| WED 6/9a | 1.5 = Continuity | 1.5 = 1-69 (EOO) |
| WED 6/9b | 1.6 = Tangent Lines | 1.6 = 1-41 (EOO) |
| THR 6/10 | 2.1 = Derivative, 2.2 = Differentiation Rules | 2.1 = 1-61 (EOO), 2.2 = 1--53 (EOO) |
| FRI 6/11 | 2.2 (cont.), 2.3 = Rates of Change | 2.3 = 1-33 (EOO) |
| MON 6/14a | 2.3 (cont.), 2.4 = Trig Functions | 2.4 = 1-73 (EOO) |
| MON 6/14b | 2.5 = Chain Rule | 2.5 = 1-77 (EOO) |
| TUE 6/15 | 2.6 = Implicit Differentiation | 2.6 = 1-69 |
| WED 6/16a | 2.7 = Related Rates | 2.7 = 1-37 (EOO) |
| WED 6/16b | Test 1 (1.1-1.6) | - |
| THR 6/17 | 3.1 = Extreme Values of Functions, 3.2 = Mean Value Theorem | 3.1 = 1-33 (EOO), 3.2 = 1--49 (EOO) |
| FRI 6/18 | 3.2 (cont.), 3.3 = First Derivative Test | 3.3 = 1-45 (EOO) |
| MON 6/21a | 3.4 = Graphing with y' and y" | 3.4 = 1-93 (EOO) |
| MON 6/21b | 3.5 = Asymptotes and Dominant Terms | 3.5 = 1-105 (EOO) |
| TUE 6/22 | 3.6 = Optimization | 3.6 = 1-57 (EOO) |
| WED 6/23a | 3.7 = Linearization and Differentials | 3.7 = 1-63 (EOO) |
| WED 6/23b | Test 2 (2.1-3.2) | - |
| THR 6/24 | 3.6, 3.7 (cont.), 3.8 = Newton's Method | 3.8 = 1-25 (EOO) |
| FRI 6/25 | 4.1 = Indefinite Integrals | 4.1 = 1-69 (EOO) |
| MON 6/28a | 4.2 = DEs and IVPs | 4.2 = 1-53 (EOO) |
| MON 6/28b | 4.3 = "u substitution" | 4.3 = 1-57 (EOO) |
| TUE 6/29 | 4.5 = Riemann Sums | 4.5 = 1-81 (EOO) |
| WED 6/30a | 4.6 = Area, Mean Value Theorem | 4.6 = 1-49 (EOO) |
| WED 6/30b | Test 3 (3.3-4.2) | - |
| THR 7/1 | 4.6 (cont.), 4.7 = Fundamental Theorem of Calculus | 4.7 = 1-81 (EOO) |
| FRI 7/2 | 4.8 = Substitution, 4.9 = Numerical Integration | 4.8 = 1-33 (EOO), 4.9 = 1-37 (EOO) |
| MON 7/5a,b | INDEPENDENCE DAY HOLIDAY | - |
| TUE 7/6 | 5.1 = Areas Between Curves, 5.2 = Finding Volumes by Slicing | 5.1 = 1-53 (EOO), 5.2 = 1-13 (EOO) |
| WED 7/7a | 5.3 = Volumes by Disks and Washers | 5.3 = 1-41 (EOO) |
| WED 7/7b | 5.4 = Cylindical Shells | 5.4 = 1-37 (EOO) |
| THR 7/8 | 5.5 = Arclength | 5.5 = 1-25 (EOO) |
| FRI 7/9 | 5.6 = Surface Areas of Revolution | 5.6 = 1-31 (EOO) |
| MON 7/12 | Test 4 (4.3, 4.5-5.6) | - |
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