MAT 149 Precalculus Online

Course Syllabus

 

 

Instructor Name:    Carol Murphy

 

Office:                      Room 2604, Des Plaines Campus
                                 Room B 200, Ray Hartstein Campus

Phone:                      847-635-1961

Email:                      murphy@oakton.edu
Homepage:              http://www.oakton.edu/user/~murphy

Course:                 MAT 149 Precalculus Online

                                 5 credit hours   5 lecture hours    0 lab hours

Prerequisite:            MAT 053 or geometric proficiency, MAT 120 or the equivalent with a grade of C or better, or appropriate score on the OCC Mathematics Assessment Test.

Course Description:

This course focuses on the study of functions including polynomial, rational, exponential, logarithmic and trigonometric functions. Additional topics include the conic sections, series, parametric equations and polar equations. Use of technology is integrated throughout.

 

System Requirements

To work with CourseCompass, your computer must meet the following system requirements:

 

Operating Systems

Browsers

     PC

Windows XP

Firefox 2.0
Internet Explorer, Version 6.0
Internet Explorer, Version 7.0
Netscape Navigator, Version 7.2

Windows Vista

Firefox 2.0
Internet Explorer, Version 7.0

Mac

Macintosh OS 10.4

Firefox 2.0
Safari 2.0
Netscape Navigator, Version 7.2

Macintosh OS 10.5

Safari 3.1

 

Instructional Materials

Precalculus plus MyMathLab, 3e, M. Lial,  J. Hornsby,  D. Schneider. Addison Wesley Longman, Inc., 2001            Special Online edition with MyMathLab registration card.

Graphing calculator (such as TI 83 Plus) is required.

Learning Objectives

A. Understand the concepts of relations and functions.

B. Understand the basic characteristics and graphs for the following functions: polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric.

C. Apply algebraic techniques to trigonometric expressions, identities, and triangles.

D. Understand the basic characteristics and graphs of the conic sections.

E. Understand the concepts associated with vectors and their operations.

F. Apply the concepts of sequences and series.

G. Understand parametric equations.

H. Understand polar equations.

I. Use technology for graphing and evaluating functions.

1. Generate the complete graph for the elementary functions.

2. Solve equations involving elementary functions.

 

Academic Integrity

Students and employees at Oakton Community College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This
code prohibits:

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

 

Outline of Topics 

A. Functions and Their Graphs 

1. Operations on functions: combinations 

2. Graphing techniques

3. Translations and Rotations 

4. Inverse functions 

B. Polynomial Functions: Graphs and Zeros 

1. Quadratic functions

2. Polynomial functions of higher degree 

3. Remainder and Factor Theorems 

4. Complex zeros of polynomial functions

5. Fundamental Theorem of Algebra 

6. Applications 

C. Rational Functions and Conic Sections 

1. Rational functions and their graphs 

2. Conic sections 

a) Center at origin 

b) Translations 

D. Exponential and Logarithmic Functions 

1. Exponential functions and their graphs

2. Logarithmic functions and their graphs 

3. Properties of logarithms 

4. Solving exponential and logarithmic equations 

5. Applications 

E. Find the Intersection of Two Polynomial Functions (Substitution Method) 

F. Sequences and Series 

1. Fundamentals of sequences and series 

2. Arithmetic sequences 

3. Geometric sequences 

4. Applications

G. Trigonometric Functions 

1. Measurement of angles 

2. Circular functions 

3. Graphs of sines and cosines 

4. Graphs of the other trigonometric functions 

5. Inverse trigonometric functions and their graphs 

6. Trigonometric identities 

a) Pythagorean identities 

b) Sum and difference formulas 

c) Multiple and half angle formulas 

d) Sum-to-product; product-to-sum 

7. Solving trigonometric equations 

8. Applications 

a) Complex numbers and their trigonometric form 

b) Solving right triangles 

c) Law of Sines, Law of Cosines 

d) Roots and powers of complex numbers 

e) Polar coordinates 

f) Parametric equations 

H. Vectors 

1. Geometric and algebraic representation of vectors 

2. Basic operations with vectors 

I. Technology 

1. Generate the complete graph of each trigonometric and inverse trigonometric function including setting appropriate window, tracing and zooming. 

2. Graphically locate the x-intercepts, the relative extrema and determine asymptotic behaviors. 

3. Solve equations graphically, numerically and/or symbolically. 

 

Methods of Instruction

 

Course material will be delivered online. Interaction with instructor will be via e-mail, and, if student desires, face to face during office hours.

Course Practices

Students must contact instructor by e-mail once a week or show active pursuit of the class via online activity each week or  risk being dropped from the course.

 

Students are responsible for online homework exercises and online quizzes.

There will be four on-campus exams. Although the course is completely online, these on-campus exams will be paper and pencil tests, to allow students to receive partial credit. The material on exams reflects the material from the online homework and online quizzes. Students may bring one page of notes (both sides) to each exam. A corrected copy of each completed exam and original notes will be returned to student after exam is graded.

 

For remote students, testing arrangements can be made at a convenient alternate location.

 

Methods of Evaluation

Chapter online quizzes                        10% of grade
Online Tutorial Exercises                   10% of grade
Four on-campus exams    each 20% of grade

Grading
 

90-100

A

80-89

B

70-79

C

60-69

D

Below 60

F

Other Course Information:
 

If you have a documented learning, psychological, or physical disability, you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the ASSIST office in Instructional Support Services. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.