THIS IS A LONG, BUT VERY IMPORTANT DOCUMENT. PLEASE READ IT CAREFULLY. IT IS
THE POLICIES BY WHICH YOU MUST ABIDE FOR THIS CLASS.
MAT 151 – College Algebra and MAT 182 – Trigonometry
Course Syllabus
Summer 2015
Instructor Information
Instructor
Telephone
E-Mail Address
Office
Office Hours
John Seims
480-654-7768 (Summer Students: E-Mail me as I will not be in my office much.)
john.seims@mesacc.edu – Please use a proper subject line! I do not recommend e-mailing
me through Canvas.
S256 – Red Mountain Campus
By Appointment During Summer Term
Sections MAT 151 (33306 and 33308) and MAT 182 (33320)
MAT 151 Specific Information
Difficulty Note: MAT 151 is a challenging class for many students. Taking it online makes it even that
much more challenging. This class is only recommended for students with strong mathematics
backgrounds, good time management habits, and strong study skills. This class will require a
significant numbers of hours per week to complete (varies by student ability level).
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. Placement test scores are only valid for two years.
Materials You will need the following materials for MAT 151:
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College Algebra: Concepts Through Functions by Sullivan and Sullivan, 2015 (3rd 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 required (TI-83+ or TI-84 highly recommended). Calculators with
symbolic manipulations capabilities are not be allowed (TI-89, TI-92, TI-Inspire CAS, or
equivalent). Mobile phones, tablets or laptops are not acceptable substitutes for graphing
calculators and cannot be used on the final exam.
Access to a reliable Windows or Macintosh computer and internet connection with Adobe
Flash capabilities. MyMathLab functionalities are limited on most smartphones and tablets.
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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. Placement test scores are only valid for two years.
Materials You will need the following materials for MAT 182:
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MyMathLab Access Code (purchased through bookstore or online through MyMathLab.com)
Optional Textbook: Trigonometry by Mark Dugopolske, 2010, 4th Edition, Addison-Wesley
Publishing with MyMathLab Access Code (you can access an online version of the textbook
through MyMathLab in lieu of a physical textbook).
Graphing Calculator required (TI-83+ or TI-84 highly recommended). Calculators with
symbolic manipulations capabilities are not be allowed (TI-89, TI-92, TI-Inspire CAS, or
equivalent). Mobile phones, tablets or laptops are not acceptable substitutes for graphing
calculators and cannot be used on the final exam.
Access to a reliable Windows or Macintosh computer and internet connection with Adobe
Flash capabilities. MyMathLab functionalities are limited on most smartphones and tablets.
Student Expectations for This Class – Students in this class should expect the following:
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Spend 12+ (MAT 182) to 15+ (MAT 151) (+ means “or more”) hours per week on learning
skills/concepts, completing homework, and chapter quizzes. Plan and budget your time carefully.
[Note: Significantly more time may be required for the summer term and winter intersession.]
Be strong self-learners by reading the textbook, watching videos, and completing a great deal of
online practice.
Get help from the instructor or tutors when needed. Free assistance for this class is available. See
Learning Assistance Options below for more information.
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 a comprehensive final exam at the MCC Red Mountain campus, a MCC testing center,
or a testing center at a college or university near you.
Be familiar with the policies of the class stated in this syllabus and the withdraw date.
Important Dates
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Please visit http://www.mesacc.edu/calendars for all important dates, including holidays.
Suggested Methods to Learn The Material In This Class
The following are recommended methods of learning the material in this class.
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Read the textbook and carefully review the examples within each section.
Watch the section videos. These are embedded in the first few optional assignment so that you can
get used to them and all of them can be found in the Authors In Action or Multimedia Library links
in the class menu in MyMathLab. In addition, videos on all the topics covered in this class can
also be found at http://www.khanacademy.org/. Another good source of videos is
http://www.youtube.com/ with which you are all probably familiar. Simply search the section
heading for videos. This is also very 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. Stick to the posted schedule
for this class.
Get help! When you run into trouble, seek out help from one of the sources in the Learning
Assistance Options section of this syllabus (below).
Assessments Your grade in the class will be determined using the following assessment instruments
(graded items, such as quizzes).
General Note on Due Dates The schedule is divided into weeks (and by chapters) that you must
complete by 11:59 pm of the Sunday of each week (with the exception of final exam week). You
can work at your own pace within each week, but the section assignments and chapter quiz must
be completed by the date specified for full credit.
Late Work 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 past the due date.
This late penalty will be automatically applied to your section assignments, but I must manually
apply them to the chapter quizzes. This may result in your grade slightly changing as I adjust these
scores.
Study Plan Note: The Study Plan is NOT part of your grade in this class and does not need to be
completed in the class. The study plan can be time consuming and include topics not covered in
this class. If you choose to use it, do so carefully and don’t let it prevent you from completing the
required material.
Zeros for Non-Attempted Assignments and Quizzes To keep the MyMathLab gradebook
accurate, I must manually enter grades of zero for section assignments and chapter quizzes you
have not attempted by the due dates. This will use one of your attempts for the chapter quizzes and
reduce your total number of attempts to two. To avoid this, complete the chapter quizzes by the
due dates indicated in the course schedule. Your grade will also change after zeros are entered for
not-attempted assignments and quizzes.
Section Assignments (20% Of Final Grade)
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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 through practice. They will also help you get ready for the chapter quizzes.
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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.
Chapter Quizzes (40% of Final Grade)
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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: You have three attempts at each chapter quiz. The highest of all your
attempts will be counted toward your final grade.
Time Limit Caution: Ninety minutes to complete each chapter quiz. You have 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.
50% Needed on Section Assignments Before Chapter Quiz: MyMathLab will not let you
attempt a chapter quiz until you obtain 50% or higher on each section assignment covered
by that chapter quiz.
Late Quizzes: You must complete chapter quizzes by the due dates indicated in the class
schedule to get 100% credit. You can complete them late through the end of the term for a
15% penalty. If you want a chapter quiz or quizzes opened to complete for a 15% late
penalty, please e-mail me your name, class information and the quizzes you want opened
and I will do that within 24 to 48 hours of your request. Please see Zeros for NonAttempted Assignments and Quizzes above and Notes on the MyMathLab Gradebook
below for additional information.
Formula Packet: You will be allowed to use a formula sheet for the final exam. It can be
downloaded and printed from http://www.mesacc.edu/~seims/ by clicking on your class. I
suggest using this throughout the class while completing chapter quizzes so you get used to
it. You will be provided a clean copy of this formula packet at the final exam, so do not
bring yours.
Final Exam (40%)
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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.
Where to Take the Final Exam
o MCC Red Mountain Campus Final Exam Session You must take the final exam
at the MCC Red Mountain campus in a session or sessions your instructor will
offer on the Wednesday (for fall and spring terms) or Thursday (for the summer
term) at the time(s) that will be announced in the Announcements section of
MyMathLab about two weeks prior to the final exam. If you absolutely cannot
make these times, you may use the MCC Testing Centers at either campus with
your instructor’s approval (see the next bullet item).
o MCC Testing Center (With Approval) You must make every attempt to come to
one of the sessions offered by your instructor. If you absolutely cannot make the
MCC Red Mountain final exam session(s) in the previous bullet, please e-mail me
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and let me know. Only in extreme circumstances will you be allowed to utilize the
testing center option. Your instructor will make this determination. If you are
outside the Phoenix/Mesa area, please see the next bullet.
o College or University Outside the Mesa/Phoenix Area (With Approval): 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 (please do not ask to take it at any other location – the
answer will be “no”). 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 and forward the instructions.
VERY IMPORTANT: Each student 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
http://www.mesacc.edu/departments/mathematics-computerscience/mathematics/resources). Students who receive less than a 60% on the final exam
will receive a D or F in the class regardless of their MyMathLab grade. See the grading
policies below on how this grade will be determined.
Practice Final Exam: There is a practice final exam that is available throughout the term
so you can practice for the final exam. Use the formula packet (formula packet can be
viewed at available at http://www.mesacc.edu/~seims/ by clicking on your class) so you
get used to using it.
You are only allowed to bring a graphing/scientific calculator and a writing instrument into
the final exam. Any additional things you bring must remain stored in your backpack/purse
until you have completed the final exam. No mobile devices, tablets, phones, smart
watches, etc. will be allowed to be out/worn during the final exam. Please store these also.
Please vist http://www.mesacc.edu/~seims/ and click on your class to view the full final
exam information.
A Valid photo identification (driver’s license, student identification card, or passport) is
required to take the final exam.
Please know your MEID and Password, as well as your MyMathLab username and
password to take the final exam.
Grade Computation
Active Participation Requirement Active participation means opening and attempting at least two
section assignment each week of class (not including Spring Break week in the spring term).
VERY IMPORTANT: 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). This is a MCC Mathematics Department policy and I
cannot deviate from this policy.
(This policy can be found at http://www.mesacc.edu/departments/mathematics-computerscience/mathematics/resources/).
Due to the 60% minimum final exam policy stated above, your grade will be determined as follows:
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If you complete the final exam and makes a 60% or higher, the letter grade will be determined
using the formula (Homework Assignment Average) × 20% + (Chapter Quiz Average) × 40% +
(Final Exam Average) × 40%. A letter grade of A (90% - 100%), B (80% - 89%), C (70% - 79%),
D (60% - 69%), and F (< 60%) will then be assigned from the result.
If you complete the final exam and fail to make the 60% threshold, you will be assigned a grade of
D if you have a 60% or higher in MyMathLab or a grade of F if you have a MyMathLab grade
less than 60%
If you do not complete the final exam and do not request to withdraw by the deadline in the class
schedule, you will be assigned a grade of Y. This may affect your financial aid or Veteran benefits
so make sure you meet the active participation requirements for this class. This is your
responsibility and I am not responsible for any disruption to your financial aid or benefits.
Notes on the MyMathLab Gradebook – The MyMathLab gradebook ignores assignments and
quizzes you do not attempt in grade calculations, even when they are past their due dates. This
means your grade will not be accurate until I manually enter zeros for these grades. I will do this
each Monday and at the end of the term. If you do not complete a quiz by the due date and I enter
a zero for the grade, this zero will count as one of your three attempts and you will only have two
remaining if you take it late. Grade adjustments on late quizzes may not be applied until the end of
the term.
Grades and Rounding – I will use standard rounding when computing grades. An 89.5%, for
example, will be rounded to 90%. A 89.3% will be an 89%.
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). I cannot give extra consideration to one student
without offering it to all students. This is not possible to do in an online class.
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 multiple attempts at each chapter quiz and the ability to take them late, 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. Please do not ask for extra credit or special consideration.
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. If you don’t do well on a quiz attempt, please study further before
trying another attempt.
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. MCCCD policy states that any grade disputes must be made within 60 days of issuing the
grade.
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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
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Rounding and Math Notation Accuracy – MyMathLab will instruct you on how to enter each
answer (notations, etc.) and to how much you should round. Please follow these instructions or
MyMathLabb will mark your answer incorrect. I will correct some of these input errors if you
click the Ask My Instructor button next to the question or e-mail me the assignment and question
details. I will only allow a few of these types of correction or point adjustment requests per
student. You will need to learn to input answers as MyMathLab requirement.
According to MCCCD Policy, students have 60 days from the posting of your final grade to
dispute your final grade.
Withdrawal Policy - Read the following very carefully as it may affect your financial aid and Veteran
benefits.
Active Participation Requirement Active participation means opening and attempting at least two
section assignment each week of class (not including Spring Break week in the spring term).
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Students must request to withdraw by e-mail by the deadline indicated in the class schedule to be
withdrawn with a W. After this date, only a grade of A, B, C, D, F or Y will be assigned.
Students who fail to meet the active participation requirements as defined above and do not request
to be withdrawn by the deadline in the class schedule will be dropped from the class with a Y. This
may affect your financial aid or Veteran benefits so make sure you meet the active participation
requirements for this class. (see the next bullet).
Financial Aid Recipients and Veterans: Please note that a grade of W or Y may affect your
financial aid or Veteran benefits. Please contact the financial aid office or Veteran Affairs office to
determine the impact of a grade of W or Y on your benefits. Students who cannot receive a W or Y
because of financial aid or Veteran benefits should meet the active participation policy above. This
is your responsibility and your professor is not responsible for any disruption to your financial aid
or benefits
Grade Replacement for Same Class: MCCCD policy allows you to replace lower grades from
past class if you retake the same class and get a better grade. This is only for GPA computation and
the classes still appear on your transcripts. This is done automatically once you complete the class.
How to Request to Withdraw From the Class: If you wish to withdraw by the deadline indicated in
the class schedule, please e-mail me your request to be withdrawn from the class. Your request to
be withdrawn will not be honorned unelss you include your name, student id, class information
(prefix, number, and section number), and the reason you are requesting to withdraw. If the date is
before the official college deadline to withdraw with a W (found in your SIS), you may do this
yourself through my.maricopa.edu.
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.
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1. Instructor – My office hours are stated on the first page of this syllabus (or possibly in the
announcements of the class in MyMathLab) 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. My office hours may be by appointment for the summer term as I do not teach on campus
during the summer. Online office hours are available via Skype, Hangouts, or MyMathLab.
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. 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). If you need assistance setting-up or using the chat or
discussion features, please let me know.
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 Because I teach more than one online class, please make
sure you include your name, class, and section number in your subject line so I can easily find your
information in MyMathLab.
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 for them (and yes, this is very obvious to online
instructors) found cheating on the final exam (either in the testing center or proctored session) will face
consequences from failing the class to expulsion from the college. Photo identification will be checked
when completing the final exam.
Financial Aid Fraud Financial aid fraud is a crime. Your professor is required to report all suspected
cases of financial fraud. Do not enroll in this class unless you intend to actively participate in the class.
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.
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MyMathLab Technical Support 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 visit http://247pearsoned.custhelp.com/ for support options. 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. Public libraries may also offer computers to use during their hours of operation (though I
cannot guarantee they will support MyMathLab).
Technical Problems on The Publisher's End System outages may occur during the term (especially
over summer). If this happens and you cannot access the course, don't panic. I will make any fair and
reasonable accommodations or extensions if this should happen. MyMathLab will post planned outages
within MyMathLab. Be aware of these and work around them.
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 All information pertaining to this class, including the syllabus, schedule, final exam
information, and getting started instructions can be found at http://www.mesacc.edu/~seims/. All
important announcements for this class will be posted in MyMathLab. I do not use Canvas at all for this
class and will not post announcements or grades there.
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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, III)
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
A. Polynomial and rational equations
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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
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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
C. Roots of complex numbers
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