MA150 Precalculus Mathematics

for U1T 2013

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MA 150 Precalculus Mathematics


U1T 2013 DL


Bianchini, Alessandra


Adjunct faculty


PhD Civil Engineering
MS Civil Engineering
MS Mathematics


Semester Dates

U1T 2013

Class Days



MA131 or equivalent

Credit Hours



A Graphical Approach to Precalculus with Limits: A Unit Circle Approach 5/e 
E-Book (no Purchase necessary)

Optional is the Hardcover
A Graphical Approach to Precalculus with Limits: A Unit Circle Approach 5/e
Hornsby, J., Lial, M., Rockswold, G.
Addison Wesley/Benjamin Cummings




Textbooks can be purchased through the MBS bookstore

Additional Resources:

A required additional resource is MyMathLab (MML).
MyMathLab is a REQUIRED interactive website that accompanies the textbook for this course.
The e-book can also be accessed through MyMathLab. It is possible to print selected pages for study purposes.
MML access will be provided when registering to the course.

McAfee Memorial Library - Online information, links, electronic databases and the Online catalog. Contact the library for further assistance via email or at 800-270-4347.
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Course Description:
MA150 Precalculus Mathematics: Prerequisite: MA125 or equivalent. A consideration of those topics in algebra and trigonometry necessary for the calculus. Topics include: mathematical analysis of the line, the conic sections, exponential and logarithmic functions, circular functions, polynomial and rational functions, mathematical induction, and theory of equations. 3:0:3

Learning Outcomes:
  Core Learning Outcomes

  1. Demonstrate the basic features of the Cartesian coordinate plane
  2. Analyze and graph the defining features of linear equations
  3. Analyze and graph the defining features of circles, parabolas, ellipses, and hyperbolas
  4. Explain, graph, and apply logarithmic and exponential functions
  5. Demonstrate the fundamental properties of trigonometric definitions, theorems and equations

Core Assessment:

Core Assessment for MA150 Precalculus

1. Demonstrate knowledge of functions, including domain, range, evaluation, graphing and operations.

2. Apply polynomial theorems (Factor Theorem, Rational Zero Theorem, Number of Roots Theorem, Conjugate Pairs Theorem, and Descartes’ Rule of Signs) to graph polynomial functions and find roots.

3. Demonstrate knowledge of the fundamental properties of trigonometry (definitions, theorems, equations, and applications).

4. Analyze, define, graph and evaluate logarithmic and exponential functions.



Link to Class Rubric

Class Assessment:

Homework – weekly homework will contain exercises from your textbook to be submitted by the deadline indicated in the syllabus (usually by the Sunday of the corresponding week).

Quizzes Each week includes 2 quizzes. Quiz 1 is a timed and a one-time submission quiz. Quiz 2 is not timed and may be submitted as many times as the student decides. The quizzes are due by 11:59 CST on Sunday of the academic week. No late submissions are allowed. Each quiz contains 10 questions.

Weekly DiscussionRespond at least once to a topic for that week, post a ‘thoughtful’ comment to someone else's posting. (3 bonus points max for additional posting -- refer to discussion tread instructions).

Final Exam – Complete the final exam in Week 8.



Total %







Final Exam





In terms of percentage, the final grade will be according to the following scale:

            90 – 100 % =>   A

            80 – 89 %   =>   B

            70 – 79 %   =>   C

            60 – 69 %   =>   D

            <60 %     =>   F

Late Submission of Course Materials:

No late submissions and posting are accepted for the two quizzes and the weekly discussion. These learning activities must be completed within the online week to which they refer.

Late submission of homework may be accepted under special circumstances.

It is unfair to other students to allow some individuals to submit assignments after the scheduled due date. The following is a list of valid reasons for submitting late work:

  • A medical emergency or a serious acute illness. All medical emergencies and illnesses must be verified by a note on letterhead by an M.D., D.O., P.A., or R.N. I will not normally accept a note from other health professionals (e.g., Ph.D., MSW, D.C., Physical Therapist) because their professional functions rarely involve medical emergencies or acute illnesses. I will acccept late work for students who can provide evidence of a verified medical emergency (but not acute illness) involving a child, spouse, parent, sibling, or grandparent.
  • An Accident or Police Emergency. I will require an accident report or note on letterhead from an appropriate law enforcement officer to accept late work due to accidents or police emergencies (e.g., assault on student, student taken hostage, detained witness of a crime).
  • Unforeseen Jury or Witness Duty. I will require a note on letterhead from a judge or attorney to accept late work due to jury or witness duty.
  • Unforeseen Military Deployment or Activation. I will require a note on official letterhead from your commanding officer.
  • Funerals for Immediate Family Member (e.g., parents, siblings, grandparents, aunts/uncles, first cousins). I will require a copy of the obituary or a note from a minister or funeral director.

Classroom Rules of Conduct:

Class Participation in the Online Learning Environment

  • Some helpful information about participation in an online classroom is found in the Netiquette section on the Help and Resources page. Click here:  Netiquette

  • Additionally, at times we will discuss controversial topics and have people who disagree with each other. You and I both must remember that while each of us has a right to our own opinion, we must respect the right of others to have differing opinions. Calling someone or some idea "stupid" creates a defensive communication climate and hampers the ability of all of us to learn. Think before you criticize.

  • If anyone in class makes a comment you are uncomfortable with, please contact me immediately and first. Apologies and policy changes are best handled in the classroom.
Finally, come talk to me when you have questions, concerns, or suggestions about the class. It is less frustrating for both of us if you ask questions before the assignment is due, rather than after it has affected your performance.

Course Topic/Dates/Assignments:



The material we’ll cover during week 1 is a review of the topics you have studied in the previous algebra courses. These basic concepts represent the fundaments to further develop the subjects in this precalculus course. Chapter 1


The material we will cover during week 2 is centered on the representation of the functions (any type of functions) on the x-y plane. The topics of this week include graphing linear functions, functions with absolute value, and inequalities. Additional properties of functions based on the function expression will be introduced. Chapter 2


The material of week 3 is a further development of the graphing techniques covered last week. Also, concepts about polynomials that were studied in previous algebra courses are reformulated under the function perspective and graphing approach. It is highly recommended the review of the material on polynomials you have previously studied, because that represents the fundament of this week topics. Chapters 3 and 4


The material of week 4 is dedicated to inverse, exponential, and logarithmic functions. We will cover the definition of the inverse function, its properties, and the requirement that a function must satisfy to evaluate its inverse. Definitions of exponential and logarithmic function will be provided including the links between these two types of functions. Lastly, exponential and logarithmic equations and inequalities will be analyzed. Chapter 5


Week 5 introduces the trigonometric functions and their applications. We start with the definitions of the angles and their measures followed by the explanation of the special type of function (the trigonometric functions) that represent a particular measure of the angles. Properties of the trigonometric functions will also be introduced. Graphing trigonometric functions concludes the subject of this week. Chapter 8


The material of week 6 is centered on trigonometric identities. Identities between sum and difference of angles and particular composition of trigonometric function will also be introduced. This week chapter includes the inverse of circular functions and their relations with trigonometric functions. Methods to solve trigonometric equations and inequalities conclude the chapter. Chapter 9


The material of week 7 is centered on the definitions of the conic sections and their analytical expressions. Circles, ellipses, parabolas, and hyperbolas all belong to the category of conic sections. Chapter 6 provides the equations used to express this curves on the xy plane. Graphing and analytical technique to translate the curves in the plane are also introduced. A section about parametric equations concludes the chapter and the week. Chapter 6


Material review and final exam


Discussions –
Initial Posts by
Friday at 12:01 a.m.  CST,
follow-up post by Sunday at midnight CST.
Assignments (Homework and Quizzes)  – By Sunday at midnight CST

Academic Honesty:
Academic integrity is the foundation of the academic community. Because each student has the primary responsibility for being academically honest, students are advised to read and understand all sections of this policy relating to standards of conduct and academic life. Park University students and faculty members are encouraged to take advantage of the University resources available for learning about academic honesty ( or Park University 2012-2013 Undergraduate Catalog Page 97

Plagiarism involves the use of quotations without quotation marks, the use of quotations without indication of the source, the use of another's idea without acknowledging the source, the submission of a paper, laboratory report, project, or class assignment (any portion of such) prepared by another person, or incorrect paraphrasing. from Park University 2012-2013 Undergraduate Catalog Page 95

Attendance Policy:
Instructors are required to maintain attendance records and to report absences via the online attendance reporting system.

  1. The instructor may excuse absences for valid reasons, but missed work must be made up within the semester/term of enrollment.
  2. Work missed through unexcused absences must also be made up within the semester/term of enrollment, but unexcused absences may carry further penalties.
  3. In the event of two consecutive weeks of unexcused absences in a semester/term of enrollment, the student will be administratively withdrawn, resulting in a grade of "F".
  4. A "Contract for Incomplete" will not be issued to a student who has unexcused or excessive absences recorded for a course.
  5. Students receiving Military Tuition Assistance or Veterans Administration educational benefits must not exceed three unexcused absences in the semester/term of enrollment. Excessive absences will be reported to the appropriate agency and may result in a monetary penalty to the student.
  6. Report of a "F" grade (attendance or academic) resulting from excessive absence for those students who are receiving financial assistance from agencies not mentioned in item 5 above will be reported to the appropriate agency.
ONLINE NOTE: Students must participate in an academically related activity on a weekly basis in order to be marked present in an online class. Examples of academically-related activities include but are not limited to: contributing to an online discussion, completing a quiz or exam, completing an assignment, initiating contact with a faculty member to ask a course related question, or using any of the learning management system tools.

Park University 2012-2013 Undergraduate Catalog Page 98

Disability Guidelines:
Park University is committed to meeting the needs of all students that meet the criteria for special assistance. These guidelines are designed to supply directions to students concerning the information necessary to accomplish this goal. It is Park University's policy to comply fully with federal and state law, including Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, regarding students with disabilities. In the case of any inconsistency between these guidelines and federal and/or state law, the provisions of the law will apply. Additional information concerning Park University's policies and procedures related to disability can be found on the Park University web page: .


CompetencyExceeds Expectation (3)Meets Expectation (2)Does Not Meet Expectation (1)No Evidence (0)
Evaluate 4 out of 4 polynomial, exponential, logarithmic, and trigonometric functions Evaluate 3 out of 4 polynomial, exponential, logarithmic, and trigonometric functions Evaluate 2 out of 4 polynomial, exponential, logarithmic, and trigonometric functions Evaluate 0 or 1 out of 4 polynomial, exponential, logarithmic, and trigonometric functions 
Prove 4 out of 4 trig. identities Prove 3 out of 4 trig. identities Prove 2 out of 4 trig. identities Prove 0 or 1 out of 4 trig. identities 
Solve 4 out of 4  polynomial, exponential, logarithmic, and trigonometric functions Solve 3 out of 4  polynomial, exponential, logarithmic, and trigonometric functions Solve 2 out of 4  polynomial, exponential, logarithmic, and trigonometric functions Solve 0 or 1 out of 4  polynomial, exponential, logarithmic, and trigonometric functions 
Solve 4 out of 4 practical applications Solve 3 out of 4 practical applications Solve 2 out of 4 practical applications Solve 0 or 1 out of 4 practical applications 
Content of Communication                                                                                                                                                                                                                                   
Graph 4 out of 4 equations Graph 3 out of 4 equations Graph 2 out of 4 equations Graph 0 or 1 out of 4 equations 
Technical Skill in Communicating                                                                                                                                                                                                                           
State 4 out of 4 roots State 3 out of 4 roots State 2 out of 4 roots State 0 or 1 out of 4 roots 
First Literacy                                                                                                                                                                                                                                             
(Recognize basic functions and their graphs)1,2,3                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Recognize the graphs of 4 out of 4 basic functions Recognize the graphs of 3 out of 4 basic functions Recognize the graphs of 2 out of 4 basic functions Recognize the graphs of 1 or 0 out of 4 basic functions 
Second Literacy                                                                                                                                                                                                                                            
(State domain and range of basic functions)1,2,3                                                                                                                                                                                                                                                                                                                                                                                                                                                                     
State the domain and range for 4 out of 4 basic functions State the domain and range for 3 out of 4 basic functions State the domain and range for 2 out of 4 basic functions State the domain and range for 1 or 0 out of 4 basic functions 


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Last Updated:5/4/2013 10:16:33 AM