Math 0144-140-01 - Elementary Functions - Fall 1999

TR 9:25-10:40 a.m., BUS 209 - Syllabus - Dr. H.F. Ahner

Text:Precalculus, 5th Edition, David Cohen, West

Goals for student learning:

• Ability to solve problems involving all seven topics listed below.

Topics of the course:

• Algebraic background (including real number line, absolute value, polynomials)
• Coordinates, Graphs and Inequalities (including rectangular coordinates, graphs and equations, lines, symmetries, inequality)
• Functions and Graphs (including combining functions, inverse functions, zeros, iteration)
• Polynomial and Rational Functions (including linear and quadratic functions, applications, maxima and minima, polynomials and rational functions, asymptotes)
• Exponential and Logarithmic Functions (including laws of exponents and logarithms, graphs of exponential and logarithmic functions, applications)
• Trigonometric Functions (including functions of angles, radian measure, graphs of trigonometric functions, periodicity, harmonic motion)
• Analytic Trigonometry (including addition formulas, trigonometric equations, inverse trigonometric functions)
• Ability to sketch and/or graph functions (i.e., to possess an intuitive understanding of a functions behavior).
• Appreciation of a practical use of each topic in addition to a conceptual understanding of it.

Suggested Learning Behaviors:

• Be an active class participant: Read the material in the text before we talk about it in class so that you are aware of any challenging areas. Ask an appropriate probing question as a difficult subject is covered. In this way you will focus the lecture time where it will help you the most.
• Be an active practitioner: Do the odd numbered problems (or as close to a representative sampling of them as you can - the situation is simple - the more you do, the more you will learn and the better you will do in this class). If your answer does not agree with the answer in the back of the textbook, arrive at class three minutes early. Put the problem up on the board, as far as you can go (i.e., list what is given, what is requested, do as much as you can, sketch roughly, if appropriate, etc. At the start of the class we will talk about how to take the next step and your efforts will insure that I will be talking directly to your concerns instead of rehashing the stuff you already know. Of course, if you prefer, get help with that problem somehow: go to the Learning Center, use my office hours, talk to a friend, or develop your stick-to-itiveness and solve it by trial and error yourself. )
• Don't make the same mistake twice: If you do not get an exam problem correct, find out how to do it in case that type of problem shows up again later in the semester. (Hint: It will!) Everything in this course is cumulative and each concept and procedure builds on earlier work. (The good news is that after you master the material, early difficulties will be forgotten as far as final grades are concerned.)
• Work alone, then share your solutions with a classmate: You will find you will solidify and clarify your own understanding of the concepts when you explain them to someone else. If you form a learning/study team with a classmate, you will benefit not only from the teaching experience but also from your colleague's efforts and explanations on problems you did not tackle. Agree to a joint study plan, divide up the problems between you, and arrange a regular time to pool your solo efforts. Working both separately and together is usually a more efficient use of your study time than the same amount of time always working alone or always working together.

Expect "surprise" quizzes

Tentative Schedule (we will go slower or faster based on average student comprehension.)
R 9/2 Introduction, Overview, Chapter 1 - Algebraic Background
T 9/7 More Background, Intro to Chapter 2 - Coordinates, Graphs & Inequalities
R 9/9 More Coordinates, Graphs & Inequalities
T 9/14 Review and Catch up
R 9/16 Exam #1 - On Chapters 1-2.
T 9/21 Chapter 3 - Functions
R 9/23 Chapter 3
T 9/28 Chapter 3
R 9/30 Chapter 4 - Polynomials & Rational Functions
T 10/5 Chapter 4
R 10/7 Chapter 4
T 10/12 Review & Catch up
R 10/14 Exam #2 - On Chapters 1-4.
T 10/19 Chapter 5 - Exponential & Logarithmic Functions
R 10/21 Chapter 5
T 10/26 Chapter 5
R 10/28 Chapter 5
T 11/2 Chapter 6 - Trigonometric Functions of Angles
R 11/4 Chapter 6
T 11/9 Chapter 6
R 11/11 Chapter 7 - Trigonometric Functions of Real Numbers
T 11/16 Chapter 7
R 11/18 Chapter 7
T 11/23 Review & Catch up
R 11/25 NO CLASS - THANKSGIVING
T 11/30 Exam #3 - Chapters 1-7.
R 12/2 Chapter 8 - Analytical Trigonometry
T 12/7 Chapter 8
R 12/9 Systems of Two Linear Equations in Two Unknowns (Chapter 10 Section 1)
R 12/16 10:30-12:30 - Final Exam (scheduled by Registrar)

Note: Grading system is set up to

1. reward students who make a sustained effort, over the entire course, to master Elementary Functions topics, and
2. encourage mastery of all topics of the course.

=Average of Topic Averages, if all Topic averages are 70 or higher,

OR

=Average of Topic Averages - 5, if one (or more) Topic Average is below 70.

Adjusted Numerical Class Average will be assigned a final letter grade according to the following scheme:

• A-= 90,91; A=92-95; A+= 96,or higher
• B- =80,81; B=82-87; B+=88,89
• C-=70,71; C=72-77; C+=78,79
• D-=60,61; D=62-67; D+=68,69
• F = 59 and lower.

Office: Blodgett 8C, in Physics Department Suite
Office Hours:

• W 2:00- 5:00 pm
• TR 10:50-12:00 noon
• TR 1:40-2:00 pm