Pre-Calculus – Fall 2006:
Pre-Calculus – Fall 2006
67-108-001 M Tu W Th F 9:10 – 10:10 AM Dempsey 310
Instructor: Rohini Muthuvel
Office: Swart 221
Phone: 424-7349
Email: muthuver<at>uwosh.edu
Office hours: M W F 12:40 PM – 1:40 PM
T 10:20 AM – 11:20 AM, 1:50 -- 2:50 PM
Others by appointment
Text: College Algebra: Graphs and Models, by Barnett, Ziegler, and Byleen
Trigonometry: Graphs and Models, by Barnett, Ziegler, and Byleen.
Calculator: A graphing calculator is required. The recommended calculator for this class is the TI-83 Plus Graphic calculator. (If you already have a TI-83, TI-84, TI-85 or TI-86, you do not need to buy a TI-83 PLUS.)
TI-89 and TI-92 will not be allowed on exams and quizzes.
Bring your calculator to class every day.
Course Description: In this course, we will cover topics including functions, graphs, data analysis and modeling of real world problems, equations and inequalities, polynomial, rational functions, exponential and logarithmic functions, basic circular functions and their inverses, trigonometric identities and equations, triangle trigonometry, law of Sines and law of Cosines.
Students may not receive credit for both Mathematics 104 and 108.
Prerequisite: Mathematics 103 with grade of C or better or placement.
Description of Students Who Take the Course:
Mathematics 108 satisfies the University minimum general education mathematics requirement. It is intended for students whose programs require additional mathematics and science courses including Calculus.
General Goals and Objectives for the Course:
The goal of this course is to give students appreciation of mathematical tools they need in order to be successful in other mathematics and science courses. It focuses on problem solving, critical thinking and learning basic concepts in Algebra and Trigonometry.
Course Coverage:
Chapter 1: Functions, Graphs, and Models
1.1: Using Graphing Utilities
1.2: Functions
1.3: Functions: Graphs and Properties
1.4: Functions: Graphs and Transformations
1.5: Operations on Functions; Composition
1.6: Inverse Functions
Chapter 2: Modeling with Linear and Quadratic Functions
2.1: Linear Functions
2.2: Linear Equations and Models
2.3: Quadratic Functions
2.4: Complex Numbers
2.5: Quadratic Equations and Models
2.6: Additional Equation-Solving Techniques
2.7: Solving Inequalities
Chapter 3: Polynomial and Rational Functions
3.1: Polynomial Functions and Models
3.2: Real Zeros and Polynomial Inequalities
3.3: Complex Zeros and Rational Zeros of Polynomials
3.4: Rational Functions and Inequalities
Chapter 4: Exponential and Logarithmic Functions
4.1: Exponential Functions
4.2: Exponential Models
4.3: Logarithmic Functions
4.4: Logarithmic Models
4.5: Exponential and Logarithmic Equations
Chapter 5: Trigonometric Functions
5.1: Angles and Their Measure
5.2: Right Triangle Trigonometry
5.3: Trigonometric Functions: A Unit Circle Approach
5.4: Properties of Trigonometric Functions
5.5: More General Trigonometric Functions
5.6: Inverse Trigonometric Functions
Chapter 6: Trigonometric Identities and Conditional Equations
6.1: Basic Identities and Their Use
6.2: Sum, Difference, and Cofunction Identities
6.3: Double-Angle and Half-Angle Identities
6.4: Product-Sum and Sum-Product Identities
6.5: Trigonometric Equations
Chapter 7: Additional Topics in Trigonometry
7.1: Law of Sines
7.2: Law of Cosines
Exam: There will be 5 exams each worth 100 points. The 5th exam will be a comprehensive final exam. (Approximate dates: ends of 3rd, 6th, 9th, 12th and 14th weeks.) Make-ups for missed exams will be available only in very special circumstances. You must call before the scheduled exam in order for a make-up to be considered.
Quizzes: There will be many short quizzes (about 5 minutes long) at the beginning of many class periods. These will be worth 5 points each. Quizzes must be taken at the time they are scheduled in class, i.e., quizzes cannot be taken early or made up at a later time.
Homework: Homework will be assigned for each section. These problems will not be collected for grading but used for discussion.
Attendance: Attendance will be taken in each class. If absent, it is your responsibility to obtain the missed lecture notes and to do the assignment. Those having 5 or more unexcused absences will be penalized.
Grading: Exams (5) 500 points
Quizzes 150 points
Attendance 50 points
Total 700 points
[91 , 100] A [88 , 91) AB [82 , 88) B
[77 , 82) BC [70 , 77) C [60 , 70) D
Below 60 F
Remarks: If you have any problems, please feel free to see me during my office hours or make an appointment.
Tutors are available free of charge in Swart 113.