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Online classes

Effective: Late Spring 8-Week, 2017/2018

MATH 180: Precalculus

Course Description

Precalculus is a preparatory course for calculus and covers the following topic: algebraic, exponential, logarithmic, trigonometric, and inverse trigonometric functions; trigonometric equations and trigonometric identities.  

Prerequisite: Grade of B or higher in Math 150, or a score of 24 or higher on the math portion of the ACT or a score of 540 or higher on the math portion of the SAT or a passing score on the Columbia College math placement exam. G.E.

Proctored Exams: Midterm and Final



Syllabus Contents

Textbooks

Textbook and MyLabsPlus Access

  • Blitzer, Robert . Precalculus Essentials. 4th. Prentice Hall Inc..
    • ISBN-978-1-269-58740-2

MyLabsPlus

You will need the textbook (physical or online copy via the MyLabsPlus code) and an access code for MyLabsPlus (an online homework and resource site). You will activate MyLabsPlus (MLP) once you have access to the course, through the MyLabsPlus link in the course navigation bar. The textbook and access code can be purchased as a bundle through MBS Direct.

If you buy the textbook from a source other than MBS Direct, you will still need a MyLabsPlus access code. MyLabsPlus access codes can be purchased separately through the MyLabsPlus link in the course. Access codes that come packaged with textbooks from sources other than MBS Direct are not guaranteed to work. Do not purchase a MyMathLab access code, because it will not work for this course.

Another option is to purchase only a MyLabsPlus access code through the MyLabsPlus link in the course, and utilize the online textbook and solutions manual that are available electronically through the MyLabsPlus website with the code.

If you do not have access to MyLabsPlus when the course begins, the publisher provides a temporary log-in; however, you must procure access within the first two weeks of the course.

Calculator

A graphing calculator is required. The TI-83 or TI-84 series graphing calculator is strongly recommended, as this calculator will likely be required for other math courses. Instructions in the course are provided for these calculators. It is possible to purchase the calculator from MBS Direct. 


MBS Information

Textbooks for the course may be ordered from MBS Direct. You can order

For additional information about the bookstore, visit http://www.mbsbooks.com.


Course Overview

In this course we go beyond algebraic concepts and use exponential, logarithmic, and trigonometric equations and identities to solve problems.



Technology Requirements

Participation in this course will require the basic technology for all online classes at Columbia College:
  • A computer with reliable Internet access
  • A web browser
  • Acrobat Reader
  • Microsoft Office or another word processor such as Open Office

You can find more details about standard technical requirements for our courses on our site.

Additional requirements specific to this course:

  • Adobe Flash Player,
  • The most updated version of Java.
  • Access to MyLabsPlus to complete weekly homework.

Course Objectives

  • To demonstrate fundamental technical skills and clear understanding of the basic concepts of algebraic and transcendental functions.
  • To solve real-world problems using algebraic and transcendental functions.
  • To identify connections between mathematics and other disciplines
  • To use appropriate technology to enhance your mathematical understanding and solve real-world problems.

Measurable Learning Outcomes

  • Determine if a relation is a function
  • Identify the domain and range of a function
  • Use the graph of a function to identify characteristics of the function such as symmetry and intervals of increasing, decreasing, and constant behavior
  • Recognize graphs of common functions and graph transformations of these common functions
  • Combine functions arithmetically and through composition and identify the domain of the resulting functions
  • Describe and explain the fundamental concepts associated with inverse functions, including the definition of one-to-one functions and the graphical interpretation of inverses
  • Simplify rational, complex rational and radical expressions
  • Add, subtract, multiply and divide rational and radical expressions
  • Solve equations with rational and radical expressions
  • Solve polynomial equations including those with complex roots
  • Define, evaluate and graph trigonometric functions
  • Know the basic trigonometric identities , addition formulas, double angle formulas, and half-angle formulas for the sine and cosine functions
  • Solve basic trigonometric equations
  • Simplify exponential and logarithmic expressions and solve exponential and logarithmic equations
  • Solve applied problems using exponential and logarithmic functions

Grading

Grading Scale
Grade Points Percent
A 900-1000 90-100%
B 800-899 80-89%
C 700-799 70-79%
D 600-699 60-69%
F 0-599 0-59%
Grade Weights
Assignment Category Points Percent
Discussion 50 5%
Homework 200 20%
Quizzes 150 15%
Midterm Exam 300 30%
Final Exam 300 30%
Total 1000 100%


Schedule of Due Dates

Week 1
Assignment Points Due
Discussion: Math Post/Reply 6 Friday/Sunday
Discussion: HTML/Equation Editor Post - Sunday
Discussion: Introductions 2
MLP Homework -
Quiz 1 25
Week 2
Assignment Points Due
Discussion: Math Post/Reply 6 Friday/Sunday
MLP Homework - Sunday
Quiz 2 25
Proctor Information N/A
Week 3
Assignment Points Due
Discussion: Math Post/Reply 6 Friday/Sunday
MLP Homework - Sunday
Quiz 3 25
Week 4
Assignment Points Due
Discussion: Math Post/Reply 6 Friday/Sunday
Midterm Exam 300 Saturday
Quiz 4 - Sunday
MLP Homework -
Week 5
Assignment Points Due
Discussion: Math Post/Reply 6 Friday/Sunday
MLP Homework - Sunday
Quiz 5 25
Week 6
Assignment Points Due
Discussion: Math Post/Reply 6 Friday/Sunday
MLP Homework - Sunday
Quiz 6 25
Week 7
Assignment Points Due
Discussion: Math Post/Reply 6 Friday/Sunday
MLP Homework - Sunday
Quiz 7 25
Week 8
Assignment Points Due
Discussion: Math Post/Reply 6 Friday/Saturday
Final Exam 300 Saturday
Quiz 8 -
MLP Homework 200
Total Points 1000

Assignment Overview

Discussions

You will be expected to actively participate in the discussion each week throughout the course. While actively reading the textbook and Content in our online course are the foundation for the mathematical knowledge; additional learning happens through our discussion of the concepts and the ideas behind the calculations on the discussion board.

Each week you will choose one discussion question from Content to post in the Discussion area of our course. Effective posts will lead the reader through your thought processes and explain key ideas or where difficulties might arise. The goal is  to look for patterns in the problems, provide thoughtful analysis and synthesis, and solve problems involving multiple concepts.  This will help you generalize from the particular problems to rules that apply in similar situations.

You will also respond to at least one of your classmates’ posts.  Your response should provide more than “Good post” or “I got the same answer.”  Ask questions about areas that are confusing to you or where you would like to see more details about the process.  You could also provide an alternate conclusion or solution process.

Your initial posting should be posted by Friday; responses to classmates should be posted by Sunday each week.  The expectations and grading rubric for discussions are outlined in more detail in the course Content area.


MLP Homework

You will complete homework in MyLabsPlus each week.  You may rework each homework assignment until its due date.  You may continue to work problems for additional practice after the due date; however, homework completed or redone after the due date will incur a 10% late penalty.

MyLabsPlus provides tools to assist you with the homework such as Show me an Example or Help Me Solve It.  If you use these tools, you will have to complete a similar problem without using the tools in order to receive credit for the problem.   You may rework each homework exercise until you get it correct by selecting “similar exercise” at the bottom of the screen.  It is recommended that you practice until you feel very comfortable with the problems.

Note: Homework grades will not transfer until the end of the session.  Your final score at the end of the session is the one that will be reported in the gradebook.


Quizzes

There are quizzes in Weeks 1-3 and 5-7 are each worth 25 points. Quizzes are timed (60 minutes), multiple choice, and computer graded.  You will have 5 attempts on each quiz during the quiz period (with the highest score recorded), so use each attempt to improve your understanding of the concepts. The quizzes in Weeks 4 and 8 are for practice only and do not count toward your final grade. 


Exams

There will be a Midterm and a Final Exam.  Both exams are computerized and proctored.  Each exam will have a 2-hour time limit.  You will have one attempt on each exam; be sure to save your work often.  The Midterm Exam will be open from Tuesday through Saturday of Week 4.  The Final Exam will be open from Tuesday through Saturday of Week 8.  

You must arrange an acceptable proctor. Proctor information is due by 11:59 PM on Sunday of Week 2.  More information about proctors can be found below in the Proctor Policy.   



Course Outline

Click on each week to view details about the activities scheduled for that week.

Week 1: Algebraic Functions
Readings

Chapter 1: Sections 1.1 – 1.6

Discussion: Math Post/Reply

Post a solution from the list of math problems listed in Content in our course and reply to at least one posting.

Discussion: HTML/Equation Editor Post

Using step-by-step instructions provided in the class, you will learn how to use the HTML and Equation Editors in the Discussion posts. Use the instructions and screen shots included in the 'Equation Editor Guide' in the Content area and duplicate the 3 equations. Once you complete these 3 equations, post your work to the EE/HTML Editor discussion topic.

Discussion: Introductions

Introduce yourself to your classmates.  Include any information that you would like to share about you, your family, work history, hobbies, interests and where you are in school. 

MLP Homework

Complete homework in MyLabsPlus each week.  

Your homework grade will be recorded at the end of the class, as a percentage of  the 200 points possible, based on the points earned in MLP.

Quiz 1
Week 2: Polynomial and Rational Functions
Readings

Chapter 1: Sections 1.7, 1.8; Chapter 2:  2.1 – 2.4

Discussion: Math Post/Reply

Post a solution from the list of math problems listed in Content in our course and reply to at least one posting.

MLP Homework

Complete homework in MyLabsPlus each week.  

Your homework grade will be recorded at the end of the class, as a percentage of  the 200 points possible, based on the points earned in MLP.

Quiz 2
Proctor Information
Submit your proctor form to the appropriate Dropbox folder by the end of the week. Remember to “Save” the form before placing it in Dropbox. See the Content area for more information.
Week 3: Exponential and Logarithmic Functions
Readings

Chapter 2: 2.5;  Chapter 3:  Sections 3.1 – 3.5

Discussion: Math Post/Reply

Post a solution from the list of math problems listed in Content in our course and reply to at least one posting.

MLP Homework

Complete homework in MyLabsPlus each week.  

Your homework grade will be recorded at the end of the class, as a percentage of  the 200 points possible, based on the points earned in MLP.

Quiz 3
Week 4: Review for Midterm
Readings

Reread chapters 1, 2, and 3; Review Learning Guides for Chapters 1, 2, and 3

Discussion: Math Post/Reply

Post a solution from the list of math problems listed in Content in our course and reply to at least one posting.

Midterm Exam

Computerized, proctored, 2-hour exam

Quiz 4
​This quiz is an optional review.  It does not count towards your grade.
MLP Homework

Review previous homework in preparation for the midterm.

Your homework grade will be recorded at the end of the class, as a percentage of  the 200 points possible, based on the points earned in MLP.

Week 5: Rational and Trigonometric Functions
Readings

Chapter P:  Sections P6, P7; Chapter 2: 2.6; Chapter 4:  4.1 – 4.3

Discussion: Math Post/Reply

Post a solution from the list of math problems listed in Content in our course and reply to at least one posting.

MLP Homework

Complete homework in MyLabsPlus each week.  

Your homework grade will be recorded at the end of the class, as a percentage of  the 200 points possible, based on the points earned in MLP.

Quiz 5
Week 6: Inverse Trigonometric Functions
Readings

Chapter 4:  Sections 4.4 – 4.8

Discussion: Math Post/Reply

Post a solution from the list of math problems listed in Content in our course and reply to at least one posting.

MLP Homework

Complete homework in MyLabsPlus each week.  

Your homework grade will be recorded at the end of the class, as a percentage of  the 200 points possible, based on the points earned in MLP.

Quiz 6
Course Evaluation
Please evaluate the course. You will have an opportunity to evaluate the course near the end of the session. A link sent to your CougarMail will allow you to access the evaluation. Please note that these evaluations are provided so that I can improve the course, find out what students perceive to be its strengths and weaknesses, and in general assess the success of the course. Please do take the time to fill this out.
Week 7: Trigonometric Identities and Trigonometric Equations
Readings

Chapter 5:  Sections 5.1 – 5.5

Discussion: Math Post/Reply

Post a solution from the list of math problems listed in Content in our course and reply to at least one posting.

MLP Homework

Complete homework in MyLabsPlus each week.  

Your homework grade will be recorded at the end of the class, as a percentage of  the 200 points possible, based on the points earned in MLP.

Quiz 7
Week 8: Review for Final Exam
Readings

Reread Chapters 3, 4 and 5; ; Review P6 and P7; Review Learning Guides from Chapters 1 - 5

Discussion: Math Post/Reply

Post a solution from the list of math problems listed in Content in our course and reply to at least one posting.

Final Exam

Computerized, proctored, 2-hour exam

Quiz 8
​This quiz is an optional review.  It does not count towards your grade.
MLP Homework

Review previous homework in preparation for the final exam.

Your homework grade will be recorded at the end of the class, as a percentage of  the 200 points possible, based on the points earned in MLP.



Course Policies

Student Conduct

All Columbia College students, whether enrolled in a land-based or online course, are responsible for behaving in a manner consistent with Columbia College's Student Conduct Code and Acceptable Use Policy. Students violating these policies will be referred to the office of Student Affairs and/or the office of Academic Affairs for possible disciplinary action. The Student Code of Conduct and the Computer Use Policy for students can be found in the Columbia College Student Handbook. The Handbook is available online; you can also obtain a copy by calling the Student Affairs office (Campus Life) at 573-875-7400. The teacher maintains the right to manage a positive learning environment, and all students must adhere to the conventions of online etiquette.

Plagiarism

Your grade will be based in large part on the originality of your ideas and your written presentation of these ideas. Presenting the words, ideas, or expression of another in any form as your own is plagiarism. Students who fail to properly give credit for information contained in their written work (papers, journals, exams, etc.) are violating the intellectual property rights of the original author. For proper citation of the original authors, you should reference the appropriate publication manual for your degree program or course (APA, MLA, etc.). Violations are taken seriously in higher education and may result in a failing grade on the assignment, a grade of "F" for the course, or dismissal from the College.

Collaboration conducted between students without prior permission from the instructor is considered plagiarism and will be treated as such. Spouses and roommates taking the same course should be particularly careful.

All required papers may be submitted for textual similarity review to Turnitin.com for the detection of plagiarism. All submitted papers may be included in the Turnitin.com reference database for the purpose of detecting plagiarism. This service is subject to the Terms and Conditions of Use posted on the Turnitin.com site.

Non-Discrimination

There will be no discrimination on the basis of sex, race, color, national origin, sexual orientation, religion, ideology, political affiliation, veteran status, age, physical handicap, or marital status.

Student Accessibility Resources

Students with documented disabilities who may need academic services for this course are required to register with the office of Student Accessibility Resources. Until the student has been cleared through this office, accommodations do not have to be granted. If you are a student who has a documented disability, it is important for you to read the entire syllabus as soon as possible. The structure or the content of the course may make an accommodation not feasible. Student Accessibility Resources is located in Student Affairs in AHSC 215 and can be reached by phone at (573) 875-7626 or email at sar@ccis.edu.

Online Participation

You are expected to read the assigned texts and participate in the discussions and other course activities each week. Assignments should be posted by the due dates stated on the grading schedule in your syllabus. If an emergency arises that prevents you from participating in class, please let your instructor know as soon as possible.

Attendance Policy

Attendance for a week will be counted as having submitted any assigned activity for which points are earned. Attendance for the week is based upon the date work is submitted. A class week is defined as the period of time between Monday and Sunday (except for week 8, when the work and the course will end on Saturday at midnight.) The course and system deadlines are based on the Central Time Zone.

Cougar Email

All students are provided a CougarMail account when they enroll in classes at Columbia College. You are responsible for monitoring email from that account for important messages from the College and from your instructor. You may forward your Cougar email account to another account; however, the College cannot be held responsible for breaches in security or service interruptions with other email providers.

Students should use email for private messages to the instructor and other students. The class discussions are for public messages so the class members can each see what others have to say about any given topic and respond.

Late Assignment Policy

An online class requires regular participation and a commitment to your instructor and your classmates to regularly engage in the reading, discussion and writing assignments. Although most of the online communication for this course is asynchronous, you must be able to commit to the schedule of work for the class for the next eight weeks. You must keep up with the schedule of reading and writing to successfully complete the class.

No late discussion posts will be accepted.

No late quiz submissions will be accepted.

Late homework will receive a 10% penalty.

Course Evaluation

You will have an opportunity to evaluate the course near the end of the session. A link will be sent to your CougarMail that will allow you to access the evaluation. Be assured that the evaluations are anonymous and that your instructor will not be able to see them until after final grades are submitted.

Proctor Policy

Students taking courses that require proctored exams must submit their completed proctor request forms to their instructors by the end of the second week of the session. Proctors located at Columbia College campuses are automatically approved. The use of ProctorU services is also automatically approved. The instructor of each course will consider any other choice of proctor for approval or denial. Additional proctor choices the instructor will consider include: public librarians, high school or college instructors, high school or college counseling services, commanding officers, education service officers, and other proctoring services. Personal friends, family members, athletic coaches and direct supervisors are not acceptable.


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