FUNCTIONS AND GRAPHS
MATH 121 SPRING 2008
Instructor: Dr. R. P. Webber
Office and hours: Ruffner 332. Hours MF, 2:00 - 3:30; T 1:30 - 3:00; and by appointment or coincidence
Telephone: 395-2192
email: webberrp@longwood.edu
Course description: The course description is given in the college catalog.
Course objectives:
The student will understand the
concept of a mathematical model and how a model can be used in
applications. The student will understand the limitations of mathematical
modeling. The student will be able to use linear, exponential, and power
functions to find a model.
The student will be able to use a graphing calculator to explore the
characteristics of a function.
Text: Crauder, Evans, and Noell, Functions and Change, Third Edition, Houghton Mifflin, 2007
Course requirements and grading: There will be three tests and one composite quiz grade, of which you may drop one. The resulting three marks, counted equally, will comprise 48% of your course grade. Your project will count 15% of your course grade, your class participation grade will count 15%, and the final exam will count the remaining 22%. The grading scale goes by tens: 90 - 100, A; 80 - 90, B; 70 - 80, C; 60 - 70, D; below 60, F.
Homework: Problems will be assigned regularly, and everyone is expected to do them. They will not be collected without warning, and it is your responsibility to do all of the assigned problems. Feel free to work with others on the homework problems, and ask me about problems that you cannot solve.
Quizzes: Given frequently (but not every day), quizzes are given at the start of the period. They are intended to see if you have read the material and done the simple exercises. Quizzes are always short, and they are open book and notes. Often they are taken directly from the homework. Quizzes that are missed for any reason cannot be made up. You may miss one quiz without penalty, but you will be assigned a grade of 0 for any additional quizzes that you miss.
Class participation: Often you will be asked to work in groups in class. Working in small groups of three or four, you will be asked to solve a problem and present your results to the class. Missed class participation sessions cannot be made up, but you will be allowed one absence from a class participation session without penalty. You will receive a grade of 0 for each additional missed session.
Project: There will be a written project near the end of the course. It is to be typed and proofread. The topic and a grading rubric will be given.
Attendance: Your attendance is expected at all classes. Makeup tests will be given reluctantly, and then only upon presentation of a doctor's excuse. Makeup tests are always more difficult than regular tests, regardless of the reason for absence. You may not make up missed class participation sessions nor quizzes.
Honor code: I subscribe to the Longwood University honor system, which, among other things, assumes you do not cheat and that you take responsibility to see that others do not. Infractions will be dealt with harshly. A student who is convicted of an Honor Code offense involving this class will receive a course grade of F, in addition to any penalties imposed by the Honor Board.
Calculator: You will need a graphing calculator for this course. It must be able to graph and trace four functions, create at least four regression models (linear, power, exponential, and logarithmic), find the intersection of two graphs, and find the minimum of a graph. I strongly recommend the TI83 or TI84.
Learn how to use your calculator, and bring it to class. You will need to use it on quizzes, in group work, and on tests.
Course schedule:
| Week 1 Jan 15 - 18 | 1.1-1.3: Functions given by tables, formulas, and graphs |
| Week 2 Jan 22 - 25 | 1.4-2.1: Functions and tables |
| Week 3 Jan 28 - Feb 1 | 2.2-2.4: Graphs; solving equations |
| Week 4 Feb 4 - 8 | 2.5: Optimization; review; TEST |
| Week 5 Feb 11 - 15 | 3.1-3.4: Lines; linear regression |
| Week 6 Feb 18 - 22 | 3.5: Systems of equations; 4.1-4.2: Exponential data |
| Week 7 Feb 25 - 29 | 4.4-4.4: Logarithmic data |
| Week 8 Mar 3 - 7 | 4.5: Relationships between data types; review; TEST |
| Spring Break | |
| Week 9 Mar 17 - 21 | 5.1-5.2: Power functions |
| Week 10 Mar 24 - 28 | 5.3-5.5 Polynomial and rational functions |
| Week 11 Mar 31 - Apr 4 | 6.1-6.2: Velocity; rates of change |
| Week 12 Apr 7 - 11 | 6.2: Rates of change; review; TEST |
| Week 13 Apr 14 - 18 | 6.3-6.4: Rates and equations of change |
| Week 14 Apr 21 - 25 | 6.5: Equations of change; review |
| TBA | FINAL EXAM |