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CALCULUS with ANALYTIC GEOMETRY I
MAT 221 COURSE SYLLABUS
SUMMER 2023

18401 N. 32nd St.
Phoenix, AZ. 85032 |
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TEXT: Calculus Open Stax
ISBN: 978-0-538-49867-8
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| 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 and Tutoring Hours
Website: https://www.paradisevalley.edu/academics/mathematics/math-center
Monday - Thursday 7:00 AM – 3 PM
Learning Success Center (LSC) Building E, Room 180 (Drop-in and individual Tutoring)
Website: https://www.paradisevalley.edu/students/learning-success-center
Monday - Thursday 8:00 AM – 7:00 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 221 Live/Online |
| CLASS DAYS & TIMES: |
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MTWR 8:30 AM - 10:20 AM
Virtual Class Meetings on WebEx https://maricopa.webex.com/meet/snicoloff1 |
| CLASS TITLE: |
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CALCULUS with ANALYTIC GEOMETRY I |
| CLASS NUMBER: |
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15515 |
| CREDIT HOURS: |
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4 CREDITS |
| INSTRUCTOR TELEPHONE: |
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602-787-6676 |
| INSTRUCTOR E-MAIL: |
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[email protected] |
| MATH DIVISION E-MAIL: |
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[email protected] |
| OFFICE HOURS & LOCATION: |
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NONE during the Summer, contact me via email |
| FINAL EXAM DATE/TIME: |
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7/20/2023/CLASS TIME |
| TEXTBOOK: |
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Calculus |
| AUTHOR: |
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Open Stax |
| EDITION: |
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1st Edition |
| PUBLISHER: |
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Open Stax |
| ISBN: |
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978-1-506-698069 |
| INSTRUCTIONAL HOURS & MINIMUM COURSEWORK EXPECTATIONS: |
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6 hours and 40 minutes/week in class and 13 hours and 20 minutes/week outside of class |
| THIRD PARTY LEARNING TOOL: |
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MOER |
| 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 13 hours and 20 minutes 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 13 hours and 20 minutes 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 Chapter 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 Chapter 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 13+ hours of the required time for this class in only 4 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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| Statement of Technology Use |
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- All of the regular course work will be completed online. Students enrolled in this course will use current technology in order to meet the requirements of this course. The use of technology includes computers, learning management system, content specific software, technology based instructional tools, and other technology resources. The use of technology is to provide a flexible delivery method to online students and to enhance the learning of mathematics. Students will be required to use Moer, web browsers, manage emails, and a variety of online learning tools. You will be required to have an email account for this class and to check it regularly.
- You will be required to gain access to Moer to complete all course work. This is where all of the math assignments will be located. There is no cost for this access, and it includes, videos, and an eBook. PVCC Canvas can be accessed here: https://maricopa.instructure.com/login. Additional ways to contact me through email is located there.
- You must also have a valid email for this course. You can use the gmail account (maricopa.edu) through PVCC that all students have. Please visit http://google.maricopa.edu or view this video if you need help to activate this email account. http://www.phoenixcollege.edu/current-students.
- Your [email protected] email account is the official form of communication between PVCC and you. You are responsible for reading college messages and responding accordingly.
- You are responsible for reading all the announcements and emails that I send you. You are also responsible for maintaining your own computer, email account and Internet Service Provider account.
- The Paradise Valley campus has computer facilities in the Q Building and in the computer commons. If you use these facilities it is your responsibility to plan around the building hours.
- A graphing calculator is required for the course. The TI-84 will be used in class and in the videos.
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| THE HONORS PROGRAM |
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- PVCC offers an Honors Achievement Award to students who have completed 12 credits (numbered 100 or higher) at any MCCCD college and have a Maricopa Community College GPA of at least 3.25.
- Benefits of this program include membership in the Honors Program, small class sizes, up to $325.00 award/semester, special academic opportunities and enrichment, trips, and social events, as well as transcript recognition.
- Any students who qualify for this award should contact the Honors Center, K101 – 602-787-7888.
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| PHI THETA KAPPA HONOR SOCIETY |
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- PVCC offers admission to the International Honor Society of Two-Year Colleges. To be eligible to join, students must have completed 12 credits (numbered 100 or higher) at any MCCCD college and have a Maricopa Community College GPA of at least 3.5. To maintain membership, a student must be enrolled in at least 6 credits (numbered 100 or higher).
- Benefits of this program include scholarships to Universities, as well as special academic opportunities and enrichment, trips, and social events.
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| DRS Syllabus Statement |
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Classroom Accommodations for Students with Disabilities
In accordance with the Americans with Disabilities Act, the Maricopa County Community College District (MCCCD) and its associated colleges are committed to providing equitable access to learning opportunities to students with documented disabilities (e.g. mental health, attentional, learning, chronic health, sensory, or physical). Each class/term/semester that a student is in need of academic adjustments/accommodations, the qualified student is required to work with the Disability Resources & Services Office (DRS) at their individual college(s). Contact with the DRS should be made as soon as possible to ensure academic needs are met in a reasonable time. New and returning students must request accommodations each semester through DRS Connect online services. To learn more about this easy process, please contact your local DRS office.
If you have not yet established services through DRS, but have a temporary health condition or permanent disability that requires accommodations, you are welcome to contact DRS by using the information listed on the following webpage: https://district.maricopa.edu/consumer-information/disability-resources/contacts. The DRS offers resources and coordinates reasonable accommodations for students with disabilities and/or temporary health conditions qualifying for accommodations/academic adjustments. Reasonable accommodations are established through an interactive process between you, your faculty, and DRS; and only those academic adjustments/reasonable accommodations granted by the DRS are recognized by the college and District. It is the policy and practice of the MCCCD to create inclusive and accessible learning environments consistent with federal and state law. |
| COURSE DESCRIPTION: |
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4 credit hours.
Limits, continuity, differential and integral calculus of functions of one variable.
Requisites: Prerequisites: A grade of C or better in MAT187, or an appropriate District placement. |
COURSE COMPETENCIES:
- Analyze the behavior and continuity of functions using limits.
- State the definition and explain the significance of the derivative.
- Compute the derivative using the definition and associated formulas for differentiation.
- Solve application problems using differentiation.
- State and explain the significance of the Fundamental Theorem of Calculus.
- Compute anti-derivatives, indefinite and definite integrals of elementary functions.
- Read and interpret quantitative information when presented numerically, analytically or graphically.
- Compare alternate solution strategies, including technology.
- Justify and interpret solutions to application problems.
- Communicate process and results in written and verbal formats.
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| ASSIGNMENTS: |
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- Assignments count for 15% of your semester grade.
- 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 an infinite number of 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 08:30 am.
- Late Passes:
- You will be given 50 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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| STUDY TIME: |
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For this 4 Credit 8-week class, students should expect to spend 6 hours and 40 minutes/week in class and 13 hours and 20 minutes/week outside of class to complete assignments. |
| ONLINE QUIZZES: |
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- Quizzes count for 15% of your semester grade.
- Quizzes are timed, just as they would be if you were taking an in-person class.
- Quizzes are online, in MOER, and the due dates are on your calendar. You will have three days to work on the quizzes in MOER.
- Once you open the quiz, you must complete that attempt. Each question has one attempt; however, you are able to take the quiz infinitely many times! If you are unhappy with your grade or want to see other types of questions that could be asked within the same concept, reattempt the quiz. All new questions will appear for you to complete, and your time will reset.
- The questions are not exactly the same when you reattempt the quiz. You will see variations in how we assess each concept which will reinforce your learning of that concept!
- MOER will keep your highest grade from all your quiz attempts. You may reattempt the quiz within the given quiz “window”. The quiz “window” is usually three days in length, and again will be noted on your calendar or schedule.
- No help options will be available during the quizzes.
- You should show detailed work from your quizzes in your notebook.
- You can view your answers and the correct answers to each quiz after you submit your quiz attempt.
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| TESTING: |
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- The tests count for 70% of your semester grade.
- The Tests (Exams) are MASTERY BASED. 16 competencies will be assessed through multiple questions on exams given throughout the course. Exam 1 will cover competencies 1-4, exam 2 covers competencies 1-8, exam 3 covers competencies 1-12 and exam 4 covers competencies 1–16. In order to receive credit for mastering the competency, you must complete the problem correctly (mastery is usually defined as 80% correct or greater). The final exam will cover all competencies 1-16 and is your final chance to show mastery of any of the concepts you missed previously.
- Late passes are NOT accepted for any test.
- You will be required to turn in your work from all tests.
- You will NOT be allowed to use your notes on the tests.
- Calculus is not a memorization step-by-step type course. This course will require thought, effort, and time. Please know this, plan accordingly, and constantly be sure you are learning the concepts throughout the course.
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| ON CAMPUS PROCTORED TESTING REQUIREMENTS: |
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- The tests will be proctored during our regularly scheduled class and will be given on the Paradise Valley Community College campus in Q building, room 305, on the following dates: 6/8, 6/26, 7/6, 7/18,7/19, 7/20.
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| GRADING: |
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| Items to be Graded |
Weight Towards Final Average |
Percentage for Letter Grade |
| Quizzes |
15% |
A=89.5-100% |
| Homework and Groupwork |
15% |
B=79.5-89.4% |
| Tests |
70% |
C=69.5-79.4% |
| Total |
100% |
D=59.5-69.4% |
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| TENTATIVE SCHEDULE |
| DATE OF CLASS MEETING |
SECTIONS TO BE COVERED |
TOPICS TO BE COVERED |
ASSIGN # DUE DATE |
| (M) 5/29 |
NO CLASS |
MEMORIAL DAY HOLIDAY |
(T) 5/30
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Introduction
1.1
1.2
1.3
1.4
1.5 |
Introduction,
Review of Functions
Basic Classes of Functions
Trigonometric Functions
Inverse Functions
Exponential
and Logarithm Functions |
#1 5/31 |
(W)5/31 |
2.1
2.2
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A Preview of Calculus
The Limit of a Function
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#2 6/1 |
| (R) 6/1 |
2.3
2.4 |
The Limit Laws
Continuity |
#3 6/5 |
(M) 6/5 |
QUIZ I |
Sections (2.1-2.3)
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DUE 6/5 |
(M) 6/5
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2.5
2.6
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The Precise Definition of a Limit
Limits at Infinity and Asymptotes
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#4 6/6
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| (T) 6/6 |
2.7
2.8 |
Defining the Derivative
The Derivative as a Function |
#5 6/7 |
(W) 6/7
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REVIEW
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REVIEW
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DUE 6/8 |
| (R) 6/8 |
TEST I |
TEST COMPETENCIES (1-4) Sections (2.1-2.8) |
DUE 6/8 |
(M) 6/12
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3.3 |
Differentiation Rules: The Product and Quotient Rules |
#6 6/13 |
| (T) 6/13 |
3.3
3.5 |
Differentiation Rules: The Product and Quotient Rules
Derivatives of Trigonometric Functions |
#7 6/14 |
| (W) 6/14 |
3.6 |
The Chain Rule |
#8 6/15 |
| (R) 6/15 |
QUIZ II |
Sections (3.3, 3.5 & 3.6)
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DUE 6/19 |
(R) 6/15 |
3.8
3.7
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Implicit Differentiation
Derivatives of Inverse Functions
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#9 6/20 |
(M) 6/19
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NO SCHOOL |
JUNTEENTH HOLIDAY |
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| (T) 6/20 |
3.9
3.4
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Derivatives of
Exponential and Logarithmic Functions
Derivatives as Rates of Change
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#10 6/21 |
| (W) 6/21 |
4.1
4.2 |
Related Rates Theorem
Linear Approximations and Differentials |
#11 6/22 |
(W) 6/21 |
QUIZ III |
Derivative Quiz
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DUE 6/21 |
| (R) 6/22 |
REVIEW |
REVIEW |
DUE 6/26 |
(M) 6/26
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TEST II |
TEST COMPETENCIES (1-4) & (5-8) Sections (3.3-4.2) |
DUE 6/26 |
| (T) 6/27 |
4.3 |
Maxima and Minima |
#12 6/28 |
| (W) 6/28 |
4.4
4.5 |
The Mean Value Theorem
Derivatives and the Shape of a Graph |
#13 6/29 |
(W) 6/28
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QUIZ IV |
Sections (4.3 - 4.5)
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DUE 6/28 |
| (R) 6/29 |
4.7 |
Applied Optimization Problems |
#14 7/3 |
| (M) 7/3 |
4.8
4.9 |
L'Hospital's Rule
Newton’s Method
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#15 7/5 |
(T) 7/4
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NO SCHOOL |
JULY 4th HOLIDAY |
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(W) 7/5
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REVIEW |
REVIEW |
DUE 7/6 |
| (R) 7/6 |
TEST III |
TEST COMPETENCIES (1-4), (5-8) & (9-12) Sections (4.3-4.9) |
DUE 7/6 |
| (M) 7/10 |
4.10
5.1
5.2 |
Antiderivatives
Approximating Areas
The Definite Integral
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#16 7/11 |
(T) 7/11
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5.3
5.4
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The Fundamental Theorem of Calculus
Integration Formulas and the Net
Change Theorem
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#17 7/12 |
| (W) 7/12 |
QUIZ V |
Sections (4.9, 5.1-5.4) |
DUE 7/13 |
| (W) 7/12 |
5.5 |
Substitution |
#18 7/13 |
| (R) 7/13 |
5.6
5.7 |
Integrals with Exponential and Logarithmic Functions
Integrals Resulting in Inverse Trigonometric Functions |
#19 7/17 |
(M) 7/17
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REVIEW |
REVIEW |
(T) 7/18
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TEST IV |
TEST COMPETENCIES (1-4) & (5-8)
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| (W) 7/19 |
TEST IV |
TEST COMPETENCIES (9-12) & (13-16) Sections (4.10, 5.1-5.7) |
| (R) 7/20 |
Final Exam |
TEST COMPETENCIES (1-16) |
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