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TRIGONOMETRY
MAT 182
COURSE SYLLABUS
Spring 2021

18401 N. 32nd St.
Phoenix, AZ. 85032
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| TEXT and REQUIRED MATERIALS: |
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Trigonometry 1st Edition McKeague ISBN: 978-1-630982-69-0
XYZHomework |
| MATERIALS & OTHER RESOURCES: |
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Texas Instruments TI-83, or TI-84
or suitable Graphing Calculator,
(TI-89 and TI-92, (or those with a CAS) are
not allowed)
Q Building Math Center Testing
Online Tutoring: https://cdn.paradisevalley.edu/docs/academics/math/online_tutoring_instructions.pdf
Tutoring Website: https://www.paradisevalley.edu/academics/mathematics/math-center/math-tutoring
Math Center Website: https://www.paradisevalley.edu/academics/mathematics/math-center
Monday, Thursday 7:00 AM – 6 PM
Friday 7:00 AM – 2 PM
Learning Success Center (LSC) Building E, Room 180
(Online individual Tutoring: https://paradisevalley.craniumcafe.com/group/tutoring/)
LSC Website: https://www.paradisevalley.edu/students/learning-success-center
Monday - Thursday 8:30 AM – 7:00 PM
Friday 8:30 AM – 5:00 PM
Saturday 10:00 AM – 2:00 PM
WebEx Meetings.
There will be weekly online virtual meetings using WebEx during our regularly scheduled class times. Lessons will be given during these sessions, just like if you were in a classroom face - to - face.
Other Helpful Resources:
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| COURSE NUMBER & FORMAT: |
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MAT 182 Live/Online |
| CLASS TIMES: |
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MW 10:30 AM - 11:45 AM
Virtual Class Meetings on WebEx https://maricopa.webex.com/meet/snicoloff1 |
| CLASS TITLE |
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TRIGONOMETRY |
| CLASS NUMBER: |
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30335 |
| CREDIT HOURS: |
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3 CREDIT HOURS |
| INSTRUCTOR TELEPHONE: |
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602-787-6676 |
| INSTRUCTOR E-MAIL: |
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[email protected] |
| MATH DIVISION TELEPHONE: |
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602-787-6670 |
| MATH DIVISION E-MAIL: |
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[email protected] |
| OFFICE HOURS & LOCATION: |
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M-R 1:45PM - 3:00PM in Q254 Virtual Office Hours on WebEx https://maricopa.webex.com/meet/snicoloff1 |
| FINAL EXAM TIME: |
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May 12, 2021 10:30 AM |
| TEXTBOOK: |
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TRIGONOMETRY
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| AUTHOR: |
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McKeague |
| EDITION: |
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1st Edition |
| PUBLISHER: |
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XYZ Textbooks |
| ISBN: |
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978-1-630982-69-0 |
| INSTRUCTIONAL HOURS & MINIMUM COURSEWORK EXPECTATIONS: |
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2 hours and 30 minutes/week in class and 5 hours/week outside of class |
| THIRD PARTY LEARNING TOOL: |
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XYZ Homework |
| SUCCESS IN LIVE-ONLINE MATH CLASSES |
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Live-online math classes are not easier than taking the class in the classroom in a face to face format. Students will be required to attend live-online sessions during the regularly scheduled class day and time. Try to mimic a classroom experience for yourself as a student as much as possible. Create a distraction-free zone, “come” to class prepared, take notes during class, and please be engaged throughout the class virtual lesson by asking questions or contributing to discussions. Although turning on video may not be a requirement, it is extremely valuable to me to determine the pace of the class, and whether concepts need to be retaught, etc. Watch this 7 minute video for strategies and tips on How to Succeed in a Remote Learning or Online Class.
Be prepared to spend a minimum of 5 hours a week outside of class completing work related to this class, in addition to our normal class meetings. You will be expected to watch videos and example problems, read the textbook, take notes, keep an organized notebook, and practice what you learn by completing online assignments. This course will require you to manage your time well and dedicate yourself to learning the concepts. If you need help, it is up to you to seek tutoring, ask your instructor, meet in office hours, and keep your professor updated on your progress. |
| WHAT AM I EXPECTED TO DO EACH WEEK? |
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Be prepared to spend a minimum of 5 hours a week outside of class where you will be learning, practicing, studying, reading, watching, etc. related to this class. The following lists an overview of what you should be doing each week:
- Read the sections from the textbook/eBook that are assigned for the week
- Watch the videos, if applicable
- TAKE NOTES on the video lessons, textbook, and learning objectives
- Print/view the Module Notes (blank copy) packet located in the Notes block at the top of each module. Use this to practice the material you are learning.
- Attend all virtual classes! It is HIGHLY recommended that you turn on your video for live sessions so we can communicate and build a classroom supportive community! Be engaged during the class, ask questions, participate, and be sure you are learning what is being taught. Take good notes.
- Print/view the Key to the Module Notes packet located in the same block to check your work. These are very valuable resources that will help you with your assignments!
- Complete the homework assignments in MOER for the sections assigned that week
- Visit the free tutoring centers on campus virtually, attend virtual office hours, or message me through MOER if you have questions about homework
Complete any assigned quizzes. Again, you may take these quizzes an infinite number of times within that quizzing “window” or timeframe, and you will keep your highest score, so please utilize that opportunity to maximize not only your grade, but also your learning! |
| HOW CAN I SET MYSELF UP FOR SUCCESS IN THIS LIVE-ONLINE COURSE? |
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- Manage your time efficiently! It is NOT advised to schedule all 5+ hours of the required time for this class in only 1-2 days a week. We are typically covering multiple sections per week.
- Ask questions & attend office hours if needed
- Visit the free tutoring centers virtually
- Stay on schedule!
- Revisit the video lessons, answer keys for notes, textbook, etc. for further clarification
- Use your tests and quizzes to review for the next test or quiz
- Manage your time efficiently!! This is so important that I listed it twice!!
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| STUDENT MARICOPA E-MAIL POLICY: |
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Your [email protected] e-mail account is the official form of communication. You are responsible for reading college messages and responding accordingly. |
| STUDENT CODE OF CONDUCT |
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Make note of the district and college policy on the student code of conduct located here: Maricopa County Community College District Student Code of Conduct. |
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Students engaging in the following are subject to disciplinary sanctions outlined in the PVCC Catalog, Student Policies Section
- Acts of Dishonesty; examples include:
- Plagiarism
- Furnishing false information
- Falsifying records related to coursework
- Forgery, alteration, misuse of any college document
- Tampering with the election of any college-recognized official
- Disruption or obstruction of teaching, research, administration, disciplinary proceedings, or college activities. An instructor can remove a student from class for disciplinary reasons.
- Physical abuse, verbal abuse, threats, intimidation, harassment, coercion and/or conduct that threatens the health or safety of any person.
- Attempted or actual theft
- Failure to comply with direction of college officials or law enforcement officers
- Unauthorized possession, duplication or use of keys to any college premises
- Violation of federal, state, or local laws on college campus or at college sponsored activities
- Use, possession or distribution of narcotics or other controlled substances
- Use, possession, or distribution of alcoholic beverages, or public intoxication
- Illegal or unauthorized possession of firearms, explosives, weapons, or dangerous chemicals
- Participation in a college demonstration that disrupts the normal operations of the college
- Obstruction of the free flow of pedestrian or vehicular traffic on college premises
- Conduct which is disorderly, lewd or indecent
- Theft or other abuse of computer time
- Abuse of the judicial system
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| THE HONORS PROGRAM: |
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- The PVCC Honors Program challenges students with GPA’s of 3.25 or higher while supporting them with scholarships. The program offers unlimited scholarships up to $1,290 per semester to eligible students.
- Program benefits include smaller classes, enriching academic opportunities, trips, and social events, as well as transcript recognition.
- To find out if you are eligible, please visit the Honors Office in K101, email [email protected], and our website https://www.paradisevalley.edu/students/honors
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| COURSE DESCRIPTION: |
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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. Prerequisites: A grade of C or better in MAT15+, OR an appropriate district placement. Corequisites: MAT15+.
Course Notes: MAT182 students may receive credit for only one of the following: MAT182 or MAT187. |
| COURSE COMPETENCIES: |
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Upon Successful completion of this course, you will have mastered
the following basic competencies:
- Identify a trigonometric function.
- Use the definitions and properties of trigonometric functions to solve problems.
- Find the length of an arc.
- Determine the area of a sector.
- Find linear and angular velocity.
- Determine the graph and period of a trigonometric function.
- Evaluate inverse trigonometric functions.
- Verify trigonometric identities.
- Solve trigonometric equations.
- Use trigonometric formulas to solve application problems.
- Find nth roots of complex numbers.
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PVCC MATHEMATICS DIVISION EXPECTED
STUDENT BEHAVIOR FOR SUCCESS AND STUDENT CODE OF CONDUCT
- As a college student you need to discipline yourself as to your
study habits and classroom behavior. Get to class at least a couple
of minutes early. You are expected to at least be on time for each
class and remain seated for the entire class. If you must leave
early, it is considered only common courtesy to leave quietly and
to have informed your instructor beforehand. Please leave iPads,
iPods, tablets, laptop computers, cell phones and other electronic devices off. Inattentiveness,
disruptiveness or extensive tardiness or absences may affect a student's
grade.
- If for some reason you decide to drop this course, you are advised
to discuss it first with your instructor. If you are having difficulties,
please see your instructor before giving up or dropping the class. A grade of W will be assigned
if you drop before the withdraw date that is in your student center in my.maricopa.edu. After that date, you will be withdrawn from the class with a grade of W, for excessive absences, or by student request. Excessive absences will be the equivalent of missing 2 weeks of class without the instructor's knowledge. If you are still on the class roster at the end of the semester, you
will be assigned a grade of A, B, C, D or F, based on your class
average.
- Undergraduate study is time consuming. You can anticipate spending
two or more hours of study, reading and research for every hour you
spend in the classroom. To earn three hours of academic credit, classes
must meet for a minimum of forty-five (45) classroom hours. You should expect to spend an additional 6 hours per week outside of class for study, reading and research, for a total of (90) additional hours per semester. Take these
demands seriously as you plan your academic schedule.
- Have your homework completed before class starts. Please feel free
to contact me whenever you run into difficulty, and make use of the
LSC.
- Have questions ready from the previous night's homework and be seated
when class begins.
- Continuously self-test.
- Make it a goal to attend all classes and stay the entire class period. There is a high correlation between regular class attendance, punctuality,
and good grades. Even though you are absent for any reason, you are
still responsible for all homework and material covered in class.
Get notes from another student for classes missed.
- Ask questions – participate, don't wait for someone else to
ask questions.
- Be prepared as if you expect a quiz every day.
- It is the student's responsibility to understand and follow all
of the policies found in the Paradise Valley Community College Catalog and Student Handbook.
- The student is responsible for all information contained in the
syllabus.
- Students are PROHIBITED from digitally recording classes without Dr. Nicoloff�s permission.
- Your [email protected] e-mail account is the official form of communication between PVCC and you. You are responsible for reading college messages and responding accordingly.
- Make note of Section 2.5.1, Section A, paragraph 4, pages 145 and 146 in the
PVCC Student Handbook regarding the college’s policy on the
misuse of computer technology.
- Make note of the district and college policy on the student code of conduct located here: Maricopa County Community College District Student Code of Conduct.
- Students with disabilities who believe that they need accommodations
in this class are encouraged to contact Disability Resources and Services
in the Gina Kranitz Student Center, Room 1207 or call 602–787–7171
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ALL PROVISIONS IN THIS SYLLABUS ARE
SUBJECT TO REVISION BY THE INSTRUCTOR. SUCH REVISIONS, IF ANY, WILL BE ANNOUNCED
IN CLASS AND POSTED ON THE INSTRUCTOR'S WEBSITE AT THE FOLLOWING ADDRESS:
https://www2.paradisevalley.edu/~nicoloff/changes.html |
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| CLASS ATTENDANCE: |
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Attendance
and punctuality is required!! Read the school catalog to become
familiar with policies on withdrawals and incompletes. There will be no
make-up tests, students must be present on test days. |
| STUDY TIME: |
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For this 3 Credit 16-week class, students should expect to spend 2 hours and 30 minutes/week in class and 5 hours/week outside of class to complete assignments. |
| ASSIGNMENTS: |
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- Assignments are required and will be due at the
beginning of class. They will be worth 15% toward the final
grade. The assignments will consist of the problems on the XYZ Homework site. Late homework will not be accepted. Late homework is defined
to be any homework that is completed after the beginning of class
on the day it is due.
- You should show detailed work on your assignments in your notebook, which will be a valuable resource for the class. Use that notebook regularly, and refer to it while studying for quizzes and tests.
- If you get an assignment problem wrong you are allowed to redo it. You will get three attempts per question version. If you miss a question three times, you can regenerate a similar problem for full credit. You can regenerate a new problem infinite times. This means you can get a 100% on every assignment.
- It is important to spend time learning the concepts before you start the assignment. You should read the textbook, and watch any required videos before you start your assignment.
- Each assignment has a due date on the calendar and listed in the gradebook. Assignments are due at 10:30 am.
- Late Passes:
- You will be given 10 late passes to use to complete late homework assignments for full credit.
- Late passes can be used on homework assignments only. They may NOT be used on any pre-class work, quizzes, or tests.
- The late passes will extend any given due date by 5 days from the original due date. You must use the late pass before the end of the 5-day late pass "window.” For example, if you click on late pass on day 3 of the "window", you only have 2 extra days to complete the assignment.
- You may only use 1 late pass per assignment.
- After you use all the late passes, you cannot submit any work late for credit. It would still be recommended to complete the assignment for your learning, but you will not be receiving credit for that work.
- To request a late pass, click on the late pass link next to the assignment. You may click on late pass EARLY. If you end up completing the test on time, you can UN-USE the late pass to get it back! PLAN AHEAD!
- You can always review the correct answers to an assignment within each question or through your online grade book.
Late homework will not be accepted. Late homework
is defined to be any homework that is turned in after the beginning
of class on the day it is due.
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| TESTING: |
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There will be 8 - 100 pt. tests during
the semester to cover all chapters studied. Together they will account for 25% of your total grade. There will be a midterm worth 25% of the total grade and a final exam,
worth 35%. |
| PROCTORED TESTING REQUIREMENTS |
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- The midterm and final exam will be proctored using Monitor Edu and students will need the following:
- Computer with reliable internet access
- Separate device with a camera to show workspace while testing, such as a webcam, cell phone, or tablet
- Paper and pencils – your work may be required to be submitted immediately following the test.
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| GRADING: |
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| Category |
Percentage of Grade |
Points Needed |
| Homework |
15% |
A=90-100% |
| Quizzes and Tests |
25% |
B=80-89% |
| Midterm |
25% |
C=70-79% |
| Final Exam |
35% |
D=60-69% |
| Total |
100% |
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| TENTATIVE SCHEDULE |
| DATE OF CLASS MEETING |
SECTIONS TO BE COVERED |
TOPICS TO BE COVERED |
ASSIGN # DUE DATE |
| (M) 1/18 |
NO CLASS |
MARTIN LUTHOR KING OBSERVANCE |
(W) 1/20
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Introduction
1.1 |
Introduction
Angles, Degrees, and Special Triangles |
#1 1/25 |
| (M) 1/25 |
1.2
1.3 |
The Rectangular Coordinate System
Definition I: Trigonometric Functions |
#2 1/27 |
| (W) 1/27 |
1.4
1.5 |
Introduction to Identities
More on Identities |
#3 2/1 |
| (M) 2/1 |
REVIEW
TEST I |
REVIEW
TEST CHAPTER 1 |
Test Due
2/2 |
| (W) 2/3 |
2.1
2.2 |
Trigonometric Functions of an Acute Angle
Calculators and Trigonometric Functions of an Acute Angle |
#4 2/8 |
| (M) 2/8 |
2.3
2.4 |
Solving Right Triangles
Applications |
#5 2/10 |
| (W) 2/10 |
REVIEW
TEST II |
REVIEW
TEST CHAPTER 2 |
Test Due
2/16
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| (M) 2/15 |
NO CLASS |
PRESIDENT'S DAY OBSERVANCE
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| (W) 2/17 |
3.1
3.2 |
Reference Angle
Radians and Degrees |
#6 2/22
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| (M) 2/22 |
3.3
3.4 |
Definition III: Circular Functions
Arc Length and Area of a Sector |
#7 2/24 |
| (W) 2/24 |
3.5 |
Velocities |
#8 3/1 |
| (M) 3/1 |
REVIEW
TEST III |
REVIEW
CHAPTER 3 |
Test Due
3/2 |
| (W) 3/3 |
4.1
4.2 |
Basic Graphs
Amplitude and Period
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#9 3/8 |
| (M) 3/8 |
4.3
REVIEW |
Phase Shift
REVIEW
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#10 3/10 |
| (W) 3/10 |
4.4
4.5 |
Finding an Equation from the Graph
Graphing Combinations of Functions
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#11 3/22 |
| (M) 3/15 |
NO CLASS |
SPRING BREAK |
| (W) 3/17 |
NO CLASS |
SPRING BREAK |
| (M) 3/29 |
4.6 |
Inverse Trigonometric Functions |
#12 3/31 |
| (W) 3/31 |
REVIEW
TEST IV |
REVIEW
CHAPTER 4 |
Test Due
4/4 |
| (M) 4/5 |
REVIEW
MIDTERM |
REVIEW
MIDTERM
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Midterm Due
4/6 |
(W) 4/7
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5.1
5.2
5.3 |
Proving Identities
Sum and Difference Formulas
Double-Angle Formulas |
#13 4/12 |
| (M) 4/12 |
5.4
5.5 |
Half-Angle Formula
Additional Identities |
#14 4/14
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| (W) 4/14 |
REVIEW
TEST V
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REVIEW
CHAPTER 5
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#15 4/18
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| (M) 4/19 |
6.1
6.2 |
Solving Trigonometric Equations
More on Trigonometric Equations |
#16 4/21 |
| (W) 4/21 |
6.3
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Trigonometric Equations Involving Multiple Angles
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#17 4/26
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| (M) 4/26 |
REVIEW
TEST VI
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REVIEW
CHAPTER 6
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Test Due
4/27
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| (W) 4/28 |
7.1
7.2
7.3
7.4 |
The Law of Sines
The Ambiguous Case
The Law of Cosines
The Area of a Triangle |
#18 5/3
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| (M) 5/3 |
REVIEW
TEST VII |
REVIEW
CHAPTER 7 |
Test Due
5/4
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| (W) 5/5 |
8.1
8.2
8.3
8.4 |
Complex Numbers
Trigonometric Form for Complex Numbers
Products and Quotients in Trigonometric Form
Roots of a Complex Number |
#19 5/10
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| (M) 5/10 |
REVIEW
TEST VIII |
REVIEW
CHAPTER 8
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Test Due
5/11
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| (W) 5/12 |
REVIEW
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REVIEW
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| (W) 5/19 |
COMPREHENSIVE
FINAL EXAM |
10:30 AM-12:20 PM |
Test Due
5/19 |
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