| Calculus 1 - Spring 2000 |
COURSE: MATH 1110-002
TIME: 11:30-12:25 MWF and 11:40-12:35 R, PLACE: Room 314 of Gilbreath Hall
INSTRUCTOR: Dr. Robert Gardner, OFFICE HOURS: 9:30-10:20 MWF
OFFICES: Rooms 308G of Gilbreath Hall, Room 201 of Brown Hall
PHONE: 439-6977 (308G Gilbreath), 439-8684 (201 Brown), 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).
TEACHING ASSISTANT: Genie Jackson OFFICE: 310 Gilbreath OFFICE HOURS: 9:00-10:00 MWF
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.
PREREQUISITES: As the ETSU catalog states, the prerequisites for this class are either two years of high school algebra and one year of plane geometry or Precalculus (MATH 1040). You must be familiar with the behavior of functions, their domains, their compositions, and piecewise defined functions. If your background on these topics is weak, you definitely should consider another course!!!
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].
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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 allot 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! I will post test solutions outside of my office door (in Gilbreath) after each test. As a result, I will only consider questions about how your test was graded during the week following a test.
THE FINAL: You will be taking a departmental final at 1:30 pm on Saturday April 29, 2000 at a location to be announced. Unlike the four regular tests, the final will be multiple choice and you will only get credit for your final answer. You will be allowed to use your graphing calculator in any way you see fit.
GRADING: Your grade will be determined by the average on four tests (T1 - T4). Your average is determined by
GATEWAY EXAM: You must pass a "Gateway Exam" to complete this course. I quote from the "Calculus 1 Departmental Exam Home Page" ( www.etsu.edu/math/calculus/calc1.htm): "During the tenth week of class, [which will be the week of March 6-10] there will be a 10 problem examination conducted in each section of MATH 1110, Calculus 1. The examination will consist of 10 multiple choice questions and will have a 30 minute time limit. A score of 7 out of 10 is required for completion of the course. Those who do not achieve a 7 out of 10 during the initial examination will be given opportunities to retake the examination in the Math Lab. Check back on this web page for the times and dates of those offerings. Failure to achieve a score of 7 out of 10 by the end of the semester results in failure of the course.
The purpose of the examination will be to access each student's acquisition of the basic skills in Calculus. Therefore, NO CALCULATORS OF ANY KIND MAY BE USED DURING THE EXAMINATION. In particular, the gateway exam covers limits and derivatives of polynomials, algebraic functions and the trigonometric functions."
This exam will be administered in the Math Lab. A sample Gateway Exam can be found on the internet at: www.etsu.edu/math/calculus/gate1htm.html
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).
SUPPLEMENTAL INSTRUCTION: "Supplemental Instruction (SI) is an academic assistance program that increases student performance and retention.
The SI program targets tradiationally difficult academic courses - those that have high percentages of D, F and W.
The SI leader is a student who has demonstrated competence in the course and has been recommended by the instructor who understands and supports SI.
The SI leader attends all class meetings, reads assignments, takes notes, and conducts three, one-hour study sessions each week for class members. The SI leader prepares informal quizzes and learning aids for the SI sessions.
SI sessions are open to all students in the course and attendance is on a voluntary basis. It is viewed as enhancement rather than remedial.
Typically, students attend only one session per week, although some students attend more often.'' (Supplemental Instruction brochure from Student Support Services, TBR 260-045-96 1M)
Our SI leader for this class is David C. Long. He will hold sessions on Monday 2:00-3:00 pm, Wednesday 7:00-8:00 pm, and Friday 1:00-2:00 pm.
IMPORTANT DATES:
| DATE | AGENDA | HOMEWORK | |
| MON 1/10 | 1.1 = Rates of Change and Limits | 1.1 = 1-37 (EOO) | |
| WED 1/12 | 1.1 (cont.), 1.2 = Rules for Finding Limits | 1.2 = 1-53 (EOO) | |
| THR 1/13 | 1.2 (cont.) | - | |
| FRI 1/14 | 1.3 = Formal Definition of Limit | 1.3 = 1-57 (EOO) | |
| MON 1/17 | Martin Luther King, Jr. Holiday (no class) | - | |
| WED 1/19 | 1.3 (cont.), 1.4 = Extensions of Limit Concept | 1.4 = 1-65 (EOO) | |
| THR 1/20 | 1.4 (cont.) | - | |
| FRI 1/21 | 1.5 = Continuity | 1.5 = 1-69 (EOO) | |
| MON 1/24 | 1.5 (cont.), 1.6 = Tangent Lines | 1.6 = 1-41 (EOO) | |
| WED 1/26 | 1.6 (cont.), Review for Test 1 | - | |
| THR 1/27 | Test 1 = 1.1-1.5 | - | |
| FRI 1/28 | 2.1 = Derivative | 2.1 = 1-61 (EOO) | |
| MON 1/31 | 2.1 (cont.) | - | |
| WED 2/2 | 2.2 = Differentiation Rules | 2.2 = 1-53 (EOO) | |
| THR 2/3 | 2.2 (cont.), 2.3 = Rates of Change | 2.3 = 1-33 (EOO) | |
| FRI 2/4 | 2.3 (cont.) | - | |
| MON 2/7 | 2.4 = Trig Functions | 2.4 = 1-73 (EOO) | |
| WED 2/9 | 2.4 (cont.), 2.5 = Chain Rule | 2.5 = 1-77 (EOO) | |
| THR 2/10 | 2.5 (cont.) | - | |
| FRI 2/11 | 2.6 = Implicit Differentiation | 2.6 = 1-69 (EOO) | |
| MON 2/14 | 2.6 (cont.), 2.7 = Related Rates | 2.7 = 1-37 (EOO) | |
| WED 2/16 | 2.7 (cont.) | - | |
| THR 2/17 | 3.1 = Extreme Values of Functions | 3.1 = 1-33 (EOO) | |
| FRI 2/18 | 3.1 (cont.), 3.2 = Mean Value Theorem | 3.2 = 1-49 (EOO) | |
| MON 2/21 | 3.2 (cont.) | - | |
| WED 2/23 | Review for Test 2 | - | |
| THR 2/24 | Test 2 = 1.6, 2.1-2.7, 3.1-3.2 | - | |
| FRI 2/25 | 3.3 = First Derivative Test | 3.3 = 1-45 (EOO) | |
| MON 2/28 | 3.3 (cont.), 3.4 = Graphing with y' and y'' | 3.4 = 1-93 (EOO) | |
| WED 3/1 | 3.4 (cont.) | - | |
| THR 3/2 | 3.5 = Asymptotes and Dominant Terms | 3.5 = 1-105 (EOO) | |
| FRI 3/3 | 3.5 (cont.) | - | |
| MON 3/6 | 3.6 = Optimization | 3.6 = 1-57 (EOO) | |
| WED 3/8 | 3.6 (cont.), 3.7 = Linearization and Differentials | 3.7 = 1-63 (EOO) | |
| THR 3/9 | 3.7 (cont.) | - | |
| FRI 3/10 | 3.8 = Newton's Method | 3.8 = 1-25 (EOO) | |
| 3/13-3/17 | Spring Break (no class) | - | |
| MON 3/20 | 3.8 (cont.), 4.1 = Indefinite Integrals | 4.1 = 1-69 (EOO) | |
| WED 3/22 | 4.2 = DEs and IVPs, Review for Test 3 | 4.2 = 1-53 (EOO) | |
| THR 3/23 | Test 3 (3.3-3.8, 4.1) | - | |
| FRI 3/24 | 4.2 (cont.), 4.3 = "u substitution" | 4.3 = 1-57 (EOO) | |
| MON 3/27 | 4.4 = Finite Sums | 4.4 = 1-25 (EOO) | |
| WED 3/29 | 4.5 = Riemann Sums | 4.5 = 1-81 (EOO) | |
| THR 3/30 | 4.5 (cont.) | - | |
| FRI 3/31 | 4.6 = Area, Mean Value Theorem | 4.6 = 1-49 (EOO) | |
| MON 4/3 | 4.6 =(cont.), 4.7 = Fundamental Theorem of Calculus | 4.7 = 1-81 (EOO) | |
| WED 4/5 | 4.7 (cont.), 4.8 = Substitution | 4.8 = 1-33 (EOO) | |
| THR 4/6 | 4.8 (cont.), 4.9 = Numerical Integration | 4.9 = 1-37 (EOO) | |
| FRI 4/7 | 4.9 (cont.) | - | |
| MON 4/10 | 5.1 = Areas Between Curves | 5.1 = 1-53 (EOO) | |
| WED 4/12 | 5.2 = Finding Volumes by Slicing | 5.2 = 1-13 (EOO) | |
| THR 4/13 | 5.2 (cont.), 5.3 = Volumes by Disks and Washers | 5.3 = 1-41 (EOO) | |
| FRI 4/14 | 5.3 (cont.), 5.4 = Cylindical Shells | 5.4 = 1-37 (EOO) | |
| MON 4/17 | 5.1-5.4 (a reprise!) | - | |
| WED 4/19 | Review for Test 4 | - | |
| THR 4/20 | Test 4 (4.2 - 5.4) | - | |
| FRI 4/21 | Good Friday Holiday - University Closed | - | |
| MON 4/24 | 5.5 = Lengths of Curves | 5.5 = 1-25 (EOO) | |
| WED 4/26 | 5.5 (cont.), 5.6 = Areas of Surfaces of Revolution | 5.6 = 1a,5a,9-37 (EOO) | |
| THR 4/27 | 5.6 (cont.) | - | |
| FRI 4/28 | Review for Final | - | |
| SAT 4/29 | Final, 1:30 pm | - | |
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