Download Muthuvel, R.

Pre-Calculus – Fall 2011
M Tu W Th F 3:00 – 4:00 PM
67-108-001
Instructor:
Office:
Phone:
Email:
Rohini Muthuvel
Swart 221
424-7349
[email protected]
Office hours:
Text:
N. Halsey 270
M W F
10:20 – 11:20 AM
Tu Th
1:50 – 2:50 PM
Others by appointment
College Algebra & Trigonometry, 6th Edition by Michael Levitan,
Bernard Kolman, and Arnold Shapiro
Calculator: A graphing calculator is required and used for homework, quizzes,
and tests. Bring your calculator to class every day.
Note: TI-89 and TI-92 are not allowed.
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.
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Course Coverage:
Chapter 1: The Foundations of Algebra
1.1: The Real Number System
1.2: The Real Number Line
1.3: Algebraic Expressions; Polynomials
1.4: Factoring
1.5: Rational Expressions
1.6: Inter Exponents
1.7: Rational Exponents and Radicals
1.8: Complex Numbers
Chapter 2: Equations and Inequalities
2.1: Linear Equations in One Unknown
2.2: Applications: From Words to Algebra
2.3: The Quadratic Equation
2.4 : Applications of Quadratic Equations
2.5: Linear and Quadratic Inequalities
2.6: Absolute Value in Equations and Inequalities
Chapter 3: Functions
3.1: The Rectangular Coordinate System
3.2: Functions and Function Notation
3.3: Graphs of Functions
3.4: Linear Functions
3.5: The Algebra of Functions; Inverse Functions
3.6: Direct and Inverse Variation
Chapter 4: Polynomial Functions
4.1: Quadratic Functions and Their Graphs
4.2: Graphs of Polynomial Functions of Higher Degree
4.3: Polynomial Division and Synthetic Division
4.4: The Remainder and Factor Theorems
4.5: Factors and Zeros
4.6: Real, Complex, and Rational Zeros
4.7: Approximation of the Zeros of Polynomial Functions
Chapter 5: Rational Functions
5.1: Rational Functions and Their Graphs
Chapter 6: Exponential and Logarithmic Function
6.1: Review of Inverse Functions
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6.2: Exponential Functions
6.3: Logarithmic Functions
6.4: Fundamental Properties of Logarithms
6.5: Exponential and Logarithmic Equations
Chapter 7: The Trigonometric Functions
7.1: Angles and Their Measurement
7.2: Right Angle Trigonometry
7.3: The Trigonometric Functions
7.4: Special Values and Properties of Trigonometric Functions
7.5: Graphs of the Trigonometric Function
7.6: Graphs: Amplitude, Period, and Phase Shift
7.7: The Inverse Trigonometric Functions
7.8: Applications
Chapter 8: Analytic Trigonometry
8.1: Trigonometric Identities and Their Verification
8.2: The Addition and Subtraction Formulas
8.3: Double-Angle and Half-Angle Formulas
8.4: Product-Sum Formulas
8.5: Trigonometric Equations
Chapter 9: Applications of Trigonometry
9.1: Law of Sines
9.2: Law of Cosines
Exam: There will be 5 exams each worth 100 points. The 5th exam will be a
comprehensive final exam. 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.
Test dates
Exam 1: September 27th
Exam 2: October 18th
Exam 3: November 8th
Exam 4: December 2rd
Final exam: December 16th
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.
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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.
Grading:
Exams (5)
Quizzes
Attendance
[91 , 100]
[89 , 91)
[86, 89)
A
A−
B+
[82 , 86)
[79 , 82)
[75, 79)
80% (16% each)
15%
5%
B
B−
C+
[70 , 75)
[65 , 70)
[60, 65)
C
D+
D
[55, 60)
Below 55
D−
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.
Cell phones should be turned off during class period.
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