Frederick Community College

Online MA111 – Pre-Calculus

Summer 2011

 

Class Begins:
June 6                                                          

Class Ends:

August 1

Last Day to Withdraw:

July 13

 

 You must send your email address to the instructor before class begins

 

 

Instructor Information:

 

 

Name:   Pei Taverner

Office:  B108

E-mail:  ptaverner@frederick.edu

Phone Number:  301 846 2546

Office Hours:  Mon: 11am – noon                      
                       Wed: 11am – noon
                       By appointment

 

 

Campus Mail Box #:  310

Course Information:

 

Credits:  4

On-campus Meetings:  0

On-campus Exams:  2

Prerequisites:  B in MA82 or equiv

Corequisites:  None

 

 

 

Course Description:

 

This course presents the concepts of pre-calculus from four points of view: geometric (graphs), numeric (tables), symbolic (formulas), and written (verbal descriptions).  Topics include trigonometry, exponential functions, power functions, logarithmic functions, and polynomial functions.

 

Students enrolled in this class should expect to devote as much time to this course as they would an on-campus course.  The independent nature of MA 111-ONL requires you to be self-motivated.

 

Core Learning Outcomes:

 

Upon completion of this course you will:

1. articulate the concepts of pre-calculus. This will be accomplished through writing   and speaking in effective, organized, clear, and grammatically correct English appropriate for mathematics. (gen ed obj. 1)

2. interpret and analyze tables, graphs, and diagrams to convey quantitative information and solve pre-calculus problems. (gen ed obj. 13)

3. perform mathematical operations and apply them to practical situations. (gen ed obj. 11)

4. generate and evaluate alternative solutions to pre-calculus problems. (gen ed obj.5)

5. demonstrate a variety of problem-solving techniques using different mathematical tools and alternative representations of numerical and analytical concepts with application to numerical data. (gen ed obj. 12)

6. use the technology of a changing world appropriate to pre-calculus mathematics.

    (gen ed obj. 19, 21)

7. display academic honesty and adhere to professional standards in their fields. (gen ed obj.23)

 

 

Specific Learning Outcomes:                                                                        

 

Upon completion of this course you will be able:

1. model real world situations with linear, polynomial, exponential, logarithmic and trigonometric functions.

2. relate the characteristic features of the graphs of linear, polynomial, exponential, logarithmic and trigonometric functions to their equations.

3. algebraically manipulate and solve linear, polynomial, exponential, logarithmic and trigonometric equations.

4. use technology to investigate and solve algebraic and transcendental functions and equations. 

 

 

 

Course Textbook:

 

 

 

No printed text book is required for this class!  Instead, students are required to register and enroll in MathZone. It is crucial that you register and enroll in the class that I have created so please follow the instruction below carefully.

 

·        Buy a Registration Code for PRECCALCULUS,BARNETT, ZIEGLER, BYLEEN,7th. Edition,  McGraw-Hill from: https://paris.mcgraw-hill.com/paris/codevalidationview.do?productid=0073519510&userType=student&goto_url=http%3A%2F%2Fhighered.mcgraw-hill.com%2Fclassware%2FstudentCenter.do%3Fisbn%3D0073519510  or FCC bookstore

·        Log on Frederick Community College Blackboard as a student

 

·        Go to our course and download a copy of “McGraw-Hill Course Connector Blackboard Student Guide” Follow the instruction from “McGraw-Hill Course Connector Blackboard Student Guide” carefully.

 

·        Register and enroll using student section code: ED8-8B-3DD

 

 

Once you have finished enrolling yourself, please log in FCC MA111Net Blackboard to get familiar with our online “Classroom”.

   

 

You will also need to have a TI 83+ or TI 84 Graphing Calculator

 

Instruction on how to access FCC Blackboard:

Click http://frederick.blackboard.com/ to open an Internet Explorer with the Blackboard Login Page.

  • Click the "Login" button.
  • Enter your username: Click the "username" box. Then type your username: W + your FCC student id (ex. W1234567). Click the "login" button.
  • Enter your password: Click the "password" box and type the last four digits of your student id on your first login.
  • Example: If your username is W1234567, type W1234567 in the "username" box and 4567 in the "password" box.

 

 

 Instructional Methods:

 

I will utilize multiple and varied instructional methods in order to meet your needs:

·        Textbook readings, homework quizzes, and writing assignments

·        Class discussions through web discussion forums

·        Small group activities

·        Audio and visual materials

 

 

Progress Report:

 

By the end of the 3rd week of class, I will have returned several graded assignments. At this point you will be able to evaluate your progress and decide if you need to make any adjustments (additional time devoted to course, tutoring, conference with me) to best assure your success in this course.

 

All grades will be posted in the MA 111 Blackboard site, under "My Grades."

 

Evaluation Methods:

 

 Final Grade Scale    
     >90% A       
    80% - 90%  B     
    70% - 80% C   
    60% - 70%  D      
    <60% F

 

Assessment Type

Assessment Details

Grading Criteria

 

Six Weekly MathZone Homework Quizzes


Note: Students must score at least 80% on each quiz to get full credit each week.

 

Online Homework Quizzes
(16.2% of total grade)

 

60 points

(10 points each week)

 

 

One Midterm Exam and one cumulative final

 

 

 

2 paper-and-pencil Exams (NOT multiple-choice)

The Exams must be taken in FCC Testing Center.

 

(67.6% of total grade)

 

250 points

-100 points toward midterm exam

 

-150 points toward cumulative final exam

 

Final has TWO parts:

Part I: No Calculator, No notes

Part II: Students can use calculator and  notes

 

 

Six Weekly Discussions

In which students share solution to questions taken from a weekly discussion worksheet  

 

 

Weekly Participation: This means students are actively involved in the weekly online discussions.

(16.2% of total grade)

 

60 points

(10 points each week)

If the graded performance for online assignments differs significantly from the grade average for proctored assignments, the instructor reserves the right to administer additional tests.

  

 

 

 

 

 

Student Services

 

A variety of services are available to assist students in succeeding at FCC. Students can learn more about these services by visiting the Student Services web page: http://www.frederick.edu/student_services/index.aspx.

Students with disabilities who are in need of accommodations or who have questions related to disabilities services should contact the Services for Students with Disabilities (SSD) office at 301-846-2408. Students can learn more about these services by visiting the Services for Students with Disabilities web page: http://www.frederick.edu/student_services/disability.aspx.

 

 

Attendance/Participation Policy:

 

 

 

This course is NOT self-paced.  You must complete all assigned activities on a weekly basis as well as two on-campus tests taken in Frederick Community College Testing Center.  (See Course Outlines for test schedule)

 

 

Academic Integrity:

 

Work in this course is subject to the provisions of the FCC Code of Academic Integrity. Plagiarism in any form will not be tolerated. As a student, it is your job to practice academic honesty at ALL times.  Make sure that all sources, particularly Internet sources, get proper credit for quotations, paraphrases, and ideas. More information about this and the Student Conduct Code are available at http://www.frederick.edu/student_services/studentpolicies.aspx

You must send your Academic Integrity Pledge to the instructor. The form is available at http://courses.frederick.edu/_utilities/regform.htm

 

 

 

 Email Policy:

 

 

 

Email is an instructional tool essential to student-instructor and student-student communication. In the Blackboard environment by default, your email address is available to all students in this course.

However, students are permitted to use email addresses of other students in this course only for the purpose and the duration of this course.

Students who are concerned about the privacy of their personal email address are reminded that all students have a @myfcc.frederick.edu email account and login information can be found at https://myfcc.frederick.edu/ .

I will respond to regular student email inquiries (grades, posted assignments, and tests excluded) within the time frame of 24 to 48 hours.

 

 

 

 2011 Summer Important Dates for first eight week courses

 

 

June 6
June 8
June 9
June 16
June 23
July 1 - 4
July 13
August 1

First day of Class
Last day to add
Last day to withdraw with 100% refund
Last day to withdraw with 75% refund
Last day to withdraw with 50% refund
College Closes
Last day to withdraw
Last day of classes

 

Important Notice about FCC Summer hours: FCC will be closed on Fridays from May 20th to July 29th.

 

 

 

 

General Course Outline

See Assignments Folders in Blackboard for more details on weekly assignments. The schedule is subject to change at the instructor discretion.

 

Week

Weekly Assignments

Section in Textbook

Week 1

 

6/9

Withdraw with 100 % refund

-Introduce yourself in “Who Is Who” Discussion

 

-Complete and return student survey

 

-Complete  the optional  Algebra Review

 

-Read Chapter  1-2, Chapter 2-1, Chapter 3-1, and Chapter 3-2

 

-Watch Chapter 1-2 Lecture, 2-1 Lecture, and 2-1 Exercises (16 and 53), Chapter 3-1 Lecture, 3-1 Exercises, 3-2 Lecture, 3-2 Exercises. And 3-2 Graphing Calculator videos

 

-Complete Week One Homework Quizzes

 

- Participate in Week One Discussion. (Refer to online discussion rubric for grading policy)

R-2: Exponents and Radicals

1-5: Quadratic Equations and Applications

1-6: Equation-Solving Techniques

2-1: Cartesian System and Graphing an Equation Using Point-by Point Techniques
2-3: Equation of a Line

2-4: Linear Equation and Models

10-1: Solving System of equations

 

 

1-2: Linear Inequality (Understanding Inequality and Interval Notation and how to apply the notation)

Introduction to equality and Interval Notation.

 

NOTE: Students must know inequality and interval notations by heart since students will use these notations to describe a function’s domain, range, and behaviors throughout the semester

 

 

2-1: Using Symmetry as an Aid in Graphing

 

 

Family of Algebraic Functions

 

3-1: Functions (Definition, Functional Notation, and

3-2: Graphing Functions

 

Week 2

6/16

Withdraw with 75 % refund

- Review 3-1 and 3-2

 

-Read Chapter  3-3, Chapter 3-4, Chapter  3-5, 4-1, and  Chapter 4-4

 

-Watch 3-3 Lecture, 3-3 Exercises, 3-4 Lecture, 3-4 Exercises (73 and 87), 3-4 Graphing Calculator,  Chapter 3-5 Lecture, 3-5 Graphing Calculator, 4-1 Lecture, 4-1 Exercises (21 and 65), 4-3 Exercises (8), 4-4 lecture, and 4-4 Exercises videos

 

-Complete Week Two Homework Quizzes

 

- Participate in Week Two Discussion. (Refer to online discussion rubric for grading policy)

 

 

More on Algebraic Functions

 

3-3: Transformations of Functions. (Library of Elementary functions and the Transformations)

3-4: Quadratic Functions in depth

3-5: Operations on Functions, Compositions of Functions

4-1: Polynomial Functions and Multiplicities of Zeros.

4-4: Rational Functions

 

 

Week 3

6/23

Withdraw with 50 % refund

- Review 3-5:  Operation on Function and Compositions of Functions

 

-Read Chapter 3-6, Chapter 5-1, and Chapter 5-3

 

-Watch Chapter 3-5 Lecture, 3-5 Graphing Calculator, Chapter 3-6 Lecture, 3-6 Exercises,  5-1 Lecture, 5-1 Exercises,  5-3 Lecture, and 5-3 Exercises videos

 

- Complete Week Three Homework Quizzes

 

- Participate in Week Three Discussion. (Refer to online discussion rubric for grading policy)

 

- Prepare to take Midterm

 

3-6: Inverse Functions

 

Transcendental Functions:

5-1: Exponential Functions
5-3: Logarithmic Functions

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Midterm consists of all the materials learned from first three weeks

Week 4

                 Go to FCC Testing Center for Midterm Exam

Week 5

- Review 3-5, 3-6, 5-1, and 5-3

 

-Read Chapter 3-6, Chapter 5-2, Chapter 5-4, Chapter 5-5, Chapter 6-1, and Chapter 6-2.

 

-Watch Chapter 3-6 Lecture, 3-6 Exercises,  5-2 Lecture, 5-2 Exercises (14 and 27),  5-4 Lecture, 5-4 Exercises, 5-5 Lecture, 5-5 Exercises, Chapter 6-1 Lecture, 6-1 Exercises, 6-1Graphing Calculator (Setting the Mode), 6-3 Lecture, and 6-3 Exercises videos.

 

-Complete Week Five Homework Quizzes

 

- Participate in Week Five Discussion. (Refer to online discussion rubric for grading policy)

More on Transcendental Functions: Applications to Real World Problems

 

 

5-2: Exponential Models

5-4: Logarithmic models

5-5: Exponential and Logarithmic Equations



Introduction to Trigonometric Functions

 

6-1: Angles and Their measures

6-2: trigonometric Functions and their graphs: A Unit Circle Approach. (Note: there is a mix-up and Chapter 6-3 video has material on Unit Circle)

Week 6

7/13

Last Day to Withdraw with W Grade

- Review 6-1 and 6-2

 

-Read Chapter  6-5, 6-6, 6-3, and Chapter 6-4

 

-Watch 6-5 Lecture, 6-5 Exercises, 6-6 Lecture,  6-3 Lecture, 6-3 Exercises, 6-4 Lecture, 6-4 Exercises (49 and 43)videos

 

-Complete Week Six Homework Quizzes

 

- Participate in Week Six Discussion. (Refer to online discussion rubric for grading policy)

More on Trigonometric Functions

 

6-5: More General Trigonometric Functions and Models

6-6: Inverse Trigonometric Functions

6-3: Solving Right Triangles

6-4: Properties of Trigonometric Functions

 

Week 7

- Review 6-5

 

Read Chapter  7-1, Chapter 7-5, Chapter 8-1, Chapter 8-2, and Chapter 8-4

 

-Watch Chapter 7-1 Lecture, 7-5 Lecture, 7-5 Exercises, 7-5 Graphing Calculator, 8-1 Lecture, 8-1 Exercises, 8-2 Lecture, 8-2 Exercises, 8-4 lecture, and 8-4 Exercises 927, 40, 53, 59) videos

 

-Complete Week Seven Homework Quizzes

 

- Participate in Week Seven Discussion. (Refer to online discussion rubric for grading policy)

 

- Prepare to take Final

 

 

Final has TWO parts:

 

·        Part I: No Calculator, No notes

·         

·        Part II: Students can use calculator and  notes

 

An Overview of Trigonometric Identities

 

7.1-7.4:

7.5: Trigonometric Equations. (Solving Trigonometric Equations) 

 

 

Applications of Trigonometric Functions to real World Problems

Introduction to Polar Coordinates

 

8.1: Law of Sines

8.2: Law of Cosines

8.4: Polar Coordinates and Graphs

 

 

 

 

 

 

 

 

 

The final consists of all the materials from the Whole Course

Week 8

        Go to FCC Testing Center for Cumulative Final

 

Students with Disabilities
FCC provides reasonable accommodations to otherwise qualified students with disabilities in accordance with the Americans with Disabilities Act of 1990 (ADA) and Section 504 of the Rehabilitation Act of 1973 (Section 504) and amendments.  Students with disabilities who are in need of accommodations must contact the Services for Students with Disabilities (SSD) office at 301-846-2408 (A Building, Room 106A) in order to request and apply for services.  The SSD office will require appropriate documentation of a disability.  Questions related to accommodations or services can be directed to the SSD office.  Additional information related to services can be viewed at the following FCC web page:  http://www.frederick.edu/student_services/disability.aspx. 

If you currently receive services from the SSD office, please submit your Student Success Plan to me and make an appointment with me to discuss your accommodations and needs in class.  I will hold any information you share with me in strict confidence unless you give me permission to do otherwise.