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MAT 151 College Algebra and MAT 182 Trigonometry Course Syllabus Spring 2014


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MAT 151 – College Algebra and MAT 182 – Trigonometry

Course Syllabus

Spring 2014

Instructor Information

Instructor John Seims

Telephone 480-654-7768 (but e-mail is best)

E-Mail Address john.seims@mesacc.edu – Use proper subject line discussed below. Office S256 – Red Mountain Campus

Office Hours See Instructor Information in MyMathLab Sections 32480, 32482, 32494

MAT 151 Specific Information

Course Description Analysis and interpretation of the behavior and nature of functions

including polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined functions; systems of equations, modeling and solving real world problems. Additional topics may include matrices, combinatorics, sequences and series, and conics. May receive credit for only one of the following: MAT 150, MAT 151, MAT 152, or MAT 187.

Prerequisites Grades of "C" or better in MAT 120 or MAT 121 or MAT 122 or equivalent, or satisfactory score on the district placement exam. Course Note: May receive credit for only one of the following: MAT 150, MAT 151, MAT 152, or MAT 187.

Materials You will need the following materials for MAT 151:

 College Algebra: Concepts Through Functions by Sullivan and Sullivan, 2011 (2nd edition), Pearson Publishing with MyMathLab Access Code OR you can access an online version of the textbook by purchasing the MyMathLab Access Code online.

 Graphing Calculator (TI-83+ or TI-84 preferred) or, if you cannot afford one, you can download the TI-89 emulator (runs on a Windows PC) at http://www.mesacc.edu/~seims/. Follow the instructions carefully.

Access to a reliable Windows or Macintosh computer and internet connection.MAT 182 Specific Information

Course Description A study of measures of angles, properties of graphs of trigonometric functions, fundamental identities, addition and half-angle formulas, inverse trigonometric functions, solutions of trigonometric equations, complex numbers and properties of triangle solution. May receive credit for only one of the following: MAT 182 or MAT 187.

Prerequisites Grade of "C" or better in MAT 150, or MAT 151, or MAT 152, or equivalent, or concurrent registration in MAT 150, or MAT 151, MAT 152, or satisfactory score on District placement exam. MCC requires that all the above prerequisites be completed within the past two years.


Materials You will need the following materials for MAT 182:

 Trigonometry by Mark Dugopolske, 2010, 3rd Edition, Addison-Wesley Publishing with MyMathLab Access Code OR you can access an online version of the textbook by purchasing the MyMathLab Access Code online.

 A TI scientific or graphing calculator (TI-83+ or TI-84 preferred) is strongly recommended.  Access to a reliable Windows or Macintosh computer and internet connection with Adobe

Flash capabilities.

Student Expectations for This Class – Students in this class should expect the following:

 Spend nine to fifteen hours per week on learning, completing homework, and chapter quizzes. Plan and budget your time carefully.

 Be strong self-learners by reading the textbook, watching videos, and completing a great deal of online practice. Being a strong self-learner also means seeking out help when needed. There are sources of assistance in this class that will be discussed later. Make sure you utilize them when you need help.

 Complete all homework assignments, chapter quizzes, and the final exam by the due dates indicated on the class schedule. Due dates are also shown in the calendar bar when you log into MyMathLab.

 Check announcements within MyMathLab, maricopa.edu e-mail, and the e-mail address you provide when you create your MyMathLab account frequently.

 Complete the final exam at the MCC Red Mountain campus or at approved proctored testing site. See the final exam information below. Photo identification is required.

Suggested Methods to Learn The Material In This Class

The following are recommended methods of learning the material in this class.  Read the textbook and carefully review the examples within each section.

 Watch the section videos that are embedded in each homework assignment. In addition, videos on all the topics covered in this class can also be found at http://www.khanacademy.org/ which is a collection of free lecture videos from all around the country on many different topics including College Algebra and Trigonometry. Another good source of videos is

http://www.youtube.com/ with which you are all familiar. Simply search the section heading for videos. This is also helpful for finding assistance with your graphing calculators.

 Practice…. Lots and lots of practice! While completing the homework assignments, you can view example problems that will help you solve the exercises. There may also be links to videos for some of the exercises.

 Don’t procrastinate! Waiting until the last minute to complete the require assignments and chapter quizzes will seriously jeopardize your chances of success in this class. Try to keep up with the posted schedule.

 Get help! When you run into trouble, seek out help from one of the sources in the Learning Assistance section of this syllabus (below). Putting this off when you encounter trouble in the class will seriously jeopardize your success in this class.


Assessments Your grade in the class will be determined using the following assessment instruments (graded items, such as quizzes).

Modules (Chapters) The schedule is divided into chapters that you must complete by a specific due date shown in the right most column of the schedule. You can work at your own pace within each chapter, but the section assignments and chapter quiz must be completed by the date specified for full credit. If you do not complete work for that chapter by the date specified, you can continue to work on the material, but there will be a 15% penalty for any work

completed on the module past the due date. Homework Assignments (20%)

 You will have section assignments to complete online. These assignments are designed to make sure you are maintaining progress throughout the class and learning the

required objectives. They will also help you get ready for the chapter quizzes.

 Embedded in each section’s assignment is the section lesson videos. Each video counts as one homework assignment question. I strongly recommend you do not skip this video (though doing so will not seriously impact the score on the section assignment). Some sections may also have animated examples embedded in them. These will also count as one question when present.

 You do not have to complete the section assignments in one sitting. Do not procrastinate on the section assignments. Doing so will seriously jeopardize your success in class. Try to follow the schedule posted to maximize your chances of success.

 See the Modules (Chapters) note above. Chapter Quizzes (40%)

 You will have timed (usually 90 minutes), online chapter quizzes in this class. These quizzes will be designed to assess your comprehension of the concepts and skills, as well as your ability to apply the concepts and skills to real-world situations (application problems).

 Three Attempts: I give you three attempts at each chapter quiz. The highest of all your attempts will be counted toward your grade.

Caution: I give ninty minutes to complete each chapter quiz. I give you 2.5 hours to complete the final exam which has two to three times the number of questions as a chapter quiz. Do not get spoiled by the extended time period given on the quizzes and have that expectation on the final exam. You should practice working out problems quickly and accurately and shouldn’t get over dependent on your textbook (even though you will be able to use your textbook on the final exam).

 See the Modules (Chapters) note above. Final Exam (40%)

 You will be required to complete a comprehensive final exam in this class. The final exam will assess your comprehension of the concepts and skills, as well as your ability to apply the concepts and skills to real-world situations.


 You will be required to complete the final exam on the MCC – Red Mountain Campus or an approved proctored testing site (see note below). The final exam will be

completed online at your testing site.

Caution: You must score a minimum of 60% on the final exam (exit exam) to receive an A, B, or C in the class. This is an MCC Mathematics Department policy for online classes and I don’t have the ability to deviate from this policy (see


Students Outside the Phoenix Area: If you are outside the Mesa/Phoenix area and cannot take the final exam at the Red Mountain Campus, you must locate an appropriate proctored testing center at a college or university near your location. You may be

charged a fee for this and you are responsible for this fee. Please forward the college/university name and e-mail address of the testing center to which I should forward final exam instructions. I will verify the testing center before forwarding the instructions. Please do this a minimum of one week prior to the final exam to allow sufficient time to verify the proctored testing site.

 Final Exam Information: Detailed final exam information is available at

http://www.mesacc.edu/~seims/ by clicking on your class. Please read it carefully. Valid photo identification (driver’s license or student identification card) is required to take the final exam.

Grade Computation The MCC Mathematics Department designates the grade breakdown for online classes. (http://www.mesacc.edu/departments/mathematics-computer-science/mathematics/resources/).

Assessment Item Percent of Total Grade

Homework Assignments 20%

Chapter Quizzes 40%

Final Exam 40%

In addition, each student must score a 60% or higher on the onsite, proctored final exam to receive a passing grade in the class (A, B, or C).

The final average will be translated into one of the following letter grades. Traditional rounding will be employed (89.5% will be rounded up to a 90%).

Percentage Average Letter Grade

90 – 100 A

80 – 89 B

70 – 79 C

60 – 69 D


Notes on Curves, Extra Credit, and Grades

Students often e-mail me about curves, extra credit, or how they can make improve their grades (especially at the end of the term when it is too late). The following will be my responses to these questions.

Curves – A curve of final grades is not guaranteed. I will not know if a curve will be applied to the grades until I compute the grades at the end of the term and I can see the overall final grades.

Extra Credit– Because homework assignments remain open to improve scores and because

you have two attempts at each chapter quiz, I do not give extra credit. These two things alone are sufficient for students to do very well in the class if they apply themselves.

Improving Grade at the Last Minute – The only opportunity to do this is through improving

your homework assignment scores and to utilize all quiz attempts when you are able to do so. I will drop your lowest or missing homework assignment at the end of the semester. I will NOT drop any chapter quizzes, however.

Grades are Earned, Not Given – I do not “give” grades. Grades are earned by you based on the quality of your work and your comprehension of the material in the class. I do not negotiate grades. If at the end of the semester, you have a 79%, you have a C. If you have a 69%, you have a D. If I make an error in grade computation, please alert me right away. I will definitely correct these.

DO NOT ASK FOR EXTENSIONS ON ASSIGNMENTS OR QUIZZES OR SPECIAL OPPORTUNITIES TO IMPROVE YOUR GRADE. THE RESPONSE WILL BE “NO”. I must be fair and equitable to all students in the class and cannot grant an individual student

an opportunity that I do not grant all students. Grade Disputes

 Rounding and Math Notation Accuracy – MyMathLab is very picky about proper rounding of answers and the proper use of mathematical notation. It will mark an answer incorrect if you enter 0.34 when it wanted 0.33, if you put 3 instead of x = 3, if you use a [ instead of a (, or if you have a parenthesis out of place. If this should occur I will be happy to review the question and give you credit when appropriate. Simply note the assignment and question in an e-mail and I will review the question(s). It may not be necessary to do this on homework assignments as you have multiple attempts and these few corrections will not effect your overall grade. If you continue to make these sort of mistakes as the semester progresses, I will be less likely to give you credit for them. Make sure you read the full question and how they want the answer inputted. MyMathLab usually indicates how they want you to round or how they want the answers in blue near the answer box.

 Disagreements over grades must be resolved within two weeks of the grades posting. Please forward any disagreements of grades to me by e-mail.


Important Dates

 Please visit http://www.mesacc.edu/calendars for all important dates, including holidays. Withdrawal Policy - Read the following carefully as my withdraw policy has changed from past semesters.

 You may withdraw from the class with a 100% refund before or on January 21st.

You may withdraw with a guaranteed W through the end of the tenth (10th) week (March 23rd). You may complete the withdrawal through enrollment services, my.maricopa.edu or by e-mailing me your request to withdraw. Please provide your class, section number, student identification number and your reason for withdrawing if e-mailing a request to withdraw.

 After the tenth (10th) week, you must complete the class for a grade of A, B, C, D or F.

Failing to participate in the class without requesting a withdrawal will result in a grade of F or Y at the instructor’s discretion. Failure to participate will be measured by not working on any assignments or chapter quizzes for greater than a two week period.

Learning Assistance Options (Getting Help on the Mathematics) There are numerous options to assist you in learning the material required in this class. Please do not be afraid to ask for help. That's why I and our Learning Enhancement Center are here.

1. Instructor – My office hours are stated on the first page of this syllabus for you to come in for assistance. Feel free to stop by my office on the Red Mountain campus for help. I can also utilize MyMathLab’s white boards and chat rooms to assist you. Please e-mail me in advance so I can arrange this sort of session with you.

2. E-Mail – Feel free to e-mail me any question you may have concerning the class. Please put your name, class and section number in the subject line when e-mailing me. Send your e-mail to john.seims@mesacc.edu. DO NOT E-MAIL ME THROUGH CANVAS. I WILL NOT BE WATCHING CANVAS FOR THESE. You can also click the Ask Instructor A Question directly from a homework question to ask me a question. This is the preferable method as it allows me to see the question.

3. Tutoring Center at MCC and Online - You can utilize MCC’s free tutoring on both the Southern/Dobson or Red Mountain campuses. Online tutoring is available through MCC as well. Visit http://www.mesacc.edu/students/tutoring for information and tutoring times and locations.

4. Other Students – There are discussion boards available to you to work with other students in the class. I am not responsible for the conduct of other students or what they say, but if you find any inappropriate discussion, please let me know immediately and I will take appropriate action. Please use professional conduct when participating in the discussion boards. There are also live chat rooms and white boards you and other students can use together as a study room if you like. You can arrange this within the discussion boards as I block inter-student e-mail contact within the class (for obvious reasons). Harassment of other students will not be

tolerated and will result of the harasser being dropped from the class (and maybe expelled from the college or law enforcement involvement for serious cases).

5. Outside Websites and Videos – I highly recommend using http://www.khanacademy.org/

lecture videos to learn the material in the class. I also recommend searching for the topic you are having trouble with on http://youtube.com.


E-Mail Correspondences and Subject Lines Please make sure you include your name, class, and section number in your subject line so I can easily find your information in MyMathLab. Not doing so may delay the response to your e-mail. I am not responsible for missed e-mails that have been

identified as spam because you did not use the proper subject line. MyMathLab will format the e-mail subject line automatically when you use the Ask Instructor A Question button when completing your homework assignments.

Caution: I usually respond to questions within 24 hours, but always within 48 hours. If you wait until the last minute to complete the homework assignments and ask me a question, I may not respond before the due date/time of the chapter quiz. If I do not respond within 48 hours, please resend your e-mail with the proper subject line as your e-mail was probably identified as spam by the e-mail system.

Academic Honesty The College regards acts of academic dishonesty, including such activities as plagiarism, cheating and/or violations of integrity in information technology, as very serious offenses. Students found having other’s complete the class (and yes, this is very obvious to online instructors) for them will face expulsion from the college. Photo identification will be checked when completing the final exam. Please see the college catalog and student handbook for further details.

Disability Support Services Students with disabilities must have an equally effective and equivalent educational opportunity as those students without disabilities. Students experiencing difficulty

accessing course materials because of a disability are expected to contact the course instructor so that a solution can be found that provides all students equal access to course materials and technology. Information for Students with Disabilities: If you have a documented disability, including a learning disability, and would like to discuss possible accommodations, please contact the MCC Disabilities Resources and Services Office at 480-461-7447 or email drsfrontdesk@mesacc.edu.

Course Compass / MyMathLab Technical Assistance The publisher of your textbook has established technical support for you if you experience technical problems while using Course Compass. If you are experiencing technical problems, please call 1-800-677-6337 or use their online support chat system. You are responsible for meeting all course requirements and due dates/times despite any computer difficulties you may have. Computer problems are not an acceptable excuse for not completing course assignments and quizzes on time. Often, rebooting your computer can solve some difficulties. Computers are available on each campus in the libraries for student use. Please contact the appropriate campus libraries for hours of availability.

Technical Problems on The Publisher's End System outages may occur during the term. If this happens and you can not access the course, don't panic. I will make any fair and reasonable accommodations or extensions if this should happen.

Student Rights and Responsibilities Students must abide by all the requirements stated in this syllabus. In addition, all students should be aware of their rights and responsibilities at Mesa

Community College. Please reference the college catalog and student handbook for student rights and responsibilities.

Web Site I will post helpful links for each class in External Links within MyMathLab. View these links as they may be helpful to you. You may also find additional information on my web site at


MCCCD Official Course Competencies and Outline MAT151 - College Algebra and Functions

1. Analyze and interpret the behavior of functions, including end behavior, increasing and decreasing, extrema, asymptotic behavior, and symmetry. (I, II, III)

2. Solve polynomial, rational, exponential, and logarithmic equations analytically and graphically. (I, II, III)

3. Find real and complex zeros of polynomial functions analytically and graphically. (II) 4. Graph polynomial, rational, exponential, logarithmic, power, absolute value, and

piecewise-defined functions. (I, II, III)

5. Determine domain and range of polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined functions. (I, II, III)

6. Use transformations to graph functions. (I, II, III)

7. Perform operations, including compositions, on functions and state the domain of the resulting function. (I, II, III)

8. Determine whether a relation is a function when represented numerically, analytically, or graphically. (I, II, III)

9. Determine whether a function is one-to-one when represented numerically, analytically, or graphically. (I, II, III)

10. Determine the inverse of a relation when represented numerically, analytically, or graphically. (I, II, III)

11. Classify functions by name when represented numerically, analytically, or graphically. (I, II, III) 12. Determine regression models from data using appropriate technology and interpret results. (I, II,


13. Read and interpret quantitative information when presented numerically, analytically, or graphically. (I, II, III, IV)

14. Justify and interpret solutions to application problems. (I, II, III, IV, V) 15. Compare alternative solution strategies. (I, II, III, IV)

16. Calculate and interpret average rate of change. (I, II, III) 17. Model and solve real world problems. (I, II, III, IV, V)

18. Solve systems of three linear equations in three variables. (IV) 19. Solve systems of linear inequalities. (IV)

20. Communicate process and results in written and verbal formats. (I, II, III, IV, V)

I. Behavior and Nature of Functions

A. Graphic, numeric, and algebraic representations B. Characteristics of basic functions

C. Properties, operations, transformations, and inverses of functions II. Polynomial and Rational Functions


B. Graphs of polynomial and rational functions C. Applications

III. Exponential and Logarithmic Functions A. Exponential and logarithmic equations

B. Graphs of exponential and logarithmic equations C. Applications

IV. Systems of Equations and Inequalities A. Linear systems

B. Applications

V. Departments must include one or more of the following topics in their courses A. Matrices

B. Combinatorics C. Sequences and series D. Conics

MAT 182 - Plane Trigonometry Course Objectives and Competencies 1. Identify a trigonometric function. (I)

2. Use the definitions and properties of trigonometric functions to solve problems. (I) 3. Find the length of an arc. (II)

4. Determine the area of a sector. (II) 5. Find linear and angular velocity. (II)

6. Determine the graph and period of a trigonometric function. (III) 7. Evaluate inverse trigonometric functions. (IV)

8. Verify trigonometric identities. (V) 9. Solve trigonometric equations. (VI)

10. Use trigonometric formulas to solve application problems. (VII) 11. Find nth roots of complex numbers. (VIII)

I. Definition and properties of trigonometric functions A. Trigonometric functions of acute angles B. Solving right triangles

II. Circular functions A. Radian measure B. Length of an arc C. Area of a sector

D. Linear and angular velocity III. Graphs of trigonometric functions

A. Phase shift

B. Addition of ordinates IV. Inverse trigonometric functions


V. Trigonometric identities A. Fundamental identities

B. Verifying trigonometric identities C. Sum and difference identities for cosine D. Double-angle identities

E. Half-angle identities VI. Conditional equations VII. Trigonometric formulas

A. Law of sines B. Law of cosines VIII. Complex numbers

A. Trigonometric form of complex numbers B. De Moivre's theorem


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