Course Syllabus

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Welcome to the course!

Course Prefix and Name

MAC2311: Calculus with Analytic Geometry 1 (4 Credit hours; 5 Contact Hours)

TERM/YEAR/CRN:

Fall 2021. CRN 10546

MODALITY:

Face-to-face (F2F)

LENGTH OF TERM:

16 Weeks

MEETING DAYS/TIMES:

Monday & Wednesday, 11:30am-1:50pm; East Campus, Building 8, Room 204

SYLLABUS AGREEMENT:

This syllabus is an agreement between the student and the instructor. By enrolling in and then attending this course, the student agrees to and accepts the terms and conditions of this agreement. It is the responsibility of the student to carefully read this syllabus/agreement in its entirety, and to adhere to all policies and procedures within the syllabus.

INSTRUCTOR:

Joel Berman

COMMUNICATION:

You may contact me for assistance or course information through Canvas Inbox messaging, email, telephone or through scheduled Zoom meetings.  I am generally available for quick replies (within 1 hour unless I am in class) to messaging or email Monday-Friday 7:30am-3:00pm.  I endeavor to reply to all messaging or email within 24 hours (except for weekends or breaks).

Feedback on submitted written assignments will generally be available at the subsequent class meeting.  

CONTACT INFORMATION:

While I am generally available by messaging Monday through Friday 7:30am-3:00 pm, I will also hold "Office" hours on the following days and times:

Engagement Hours Table
Day Time(s) Method
Monday 10am-11am, 2-3pm In-Person (East 4-240) and Zoom
Tuesday 12:30-3:00pm Zoom
Wednesday 10am-11am, 2-3pm In-Person (East 4-240) and Zoom
Thursday 9-11:30am Zoom
Friday 2-3pm Email / Canvas Messaging

If you want to meet with me via Zoom but these sessions are not convenient, contact me and we will figure out a time to meet.

TEXTBOOK & REQUIRED MATERIALS:

  • Access to APEX Calculus. This is an Open-Educational Resource, written by faculty at Virginia Military Institute. It is free for us to download and use. I recommend that you download version 4.0, any of the three available formats.
  • Access to Paul's Online Notes. This is a website with a series of notes and exercise sets built by Paul Dawkins at Lamar University. I have received permission from Mr. Dawkins to use the website for my courses.
  • A scientific calculator. Any model.
  • Graphing Calculator. A TI-84 will be used for any demonstrations. The instructor reserves the right to inspect, or have any testing center proctor inspect, the memory of the student's calculator at any time during the semester. If inappropriate information is found stored in the calculator during a quiz or test, the student will receive a 0 on that quiz or test.

TECHNOLOGY REQUIREMENTS:

You must have reliable access to an internet enabled device. The assignments for this course will require you to input correct math notation, so a laptop/desktop device is recommended. Attempting to complete this course with only a tablet or phone may prove difficult. You may also need to be able to scan or take pictures of your work and create PDF files of your work for submissions. This can be completed in many different ways including through the use of a tablet or phone.

TECHNOLOGY ACCESS/SKILLS:

You will be required to:

  • Access websites
  • Input mathematical notation through a website
  • Download and read PDF files
  • Create and upload PDF files through Canvas

COURSE LINKS:

The course will be hosted in Canvas at Valencia College Website . Your login and password for Canvas are the same as what you use for ATLAS.

COURSE DESCRIPTION

This is the first course in a three-course sequence that introduces the concepts and skills of Calculus. Topics include limits and continuity, indeterminate forms, derivatives of algebraic, trigonometric, and transcendental functions, applications of derivatives, definite and indefinite integral, the Mean Value Theorem and Intermediate Value Theorem, the Fundamental Theorem of Calculus . Minimum grade of C required if MAC 2311 is used to satisfy the Gordon Rule and general education requirements.

PREREQUISITES:

Minimum grade of C in MAC 1140 and MAC 1114 or MAC 1147 or an appropriate score on an approved assessment.

COURSE OUTCOMES:

By the end of the course, students will

  1. Apply the concept of limits to functions, continuity, derivatives and integrals
    • Find limits graphically, numerically, and algebraically.
    • Determine where and when a function is continuous.
    • Calculate limits using the limits laws.
    • Use the limit of the Riemann sum to find the definite integral of a function.
    • Analyze an indeterminate form using L' Hospital's Rule.
  2. Explain the concept of differentiation including its geometric and physical interpretations.
    • Find the derivative using the limit definition of the derivative.
    • Find the value of the derivative at a point algebraically.
    • Approximate the value of a derivative at a point graphically and numerically.
    • Explain the interpretation of a derivative in different contexts and situations.
    • Explain the relationship between average rate of change and derivative in the context of an application.
    • Explain the equivalence between slope of a tangent line and derivative at a point.
  3. Find derivatives of functions using rules of differentiation.
    • Use rules of differentiation to find derivatives of algebraic or transcendental functions.
    • Use implicit differentiation to find derivatives.
    • Use logarithmic differentiation to find derivatives.
  4. Explain the concept of the definite and indefinite integrals including their geometric and physical interpretations.
    • Explain the interpretation of definite and indefinite integrals in different contexts and situations.
    • Approximate the definite integral using a Riemann sum given either a graph or a function.
    • Solve applied problems using a Riemann sum.
  5. Find indefinite and definite integrals.
    • Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
    • Use antiderivatives to find indefinite integrals.
  6. Solve applied problems using derivatives.
    • Use the first and second derivatives to analyze the graph of functions.
    • Solve applied problems such as optimization, rates of change, and rectilinear motion using derivatives.

COURSE REQUIREMENTS:

To successfully complete this course and earn a passing grade, students will need to

  • Be able to structure their time effectively so that sufficient time can be spent attending class sessions, learning the concepts presented, and practicing the skills required therein. This is a 4-credit hour (5-contact hour) course. Generally, I advise that students spend two hours "outside" of class time for each hour of "in-class" time. Thus, you should expect to spend at least 15 hours per week outside of class sessions just for this course.
  • Complete and submit assignments on time. 
  • Prepare for testing following provided information sheets for each test.
  • Earn passing grades on assignments and tests.

PERFORMANCE CRITERIA:

The course grade will be determined by the following:

Course Grade Criteria Table
Assignment Category Percentage of course grade

Check-in Assignments

Several exercises which should reinforce some of the basic concepts and skills that have been presented in the recent sections. They will be completed using an assessment system called IMathAS. Direct links to the assignments are provided through Canvas. Any discussion assignments will also fall under this category.

15% of course grade

Quiz Assignments

Quizzes may be in-class (announced or unannounced) or via Canvas (Download/Print the quiz, complete quiz exercises, and submit your quiz assignment through the appropriate link in Canvas as a .PDF file.) 

15% of course grade

Tests (4 unit tests)

Each test will focus on the material seen in the unit. Tests will be taken in a scheduled class session.

50% of course grade

Final Exam

Comprehensive exam. Exam will be taken on Wednesday December 8, 10:00am-12:30pm

20% of course grade

HOMEWORK

Suggested homework lists will be provided for each topic during the course. If you are having trouble with an exercise, you should use the appropriate Homework Q&A discussion board to post a question, visit tutoring, or visit or contact the instructor. The suggested homework exercises will not count toward your grade for the course. They are, however, critical in developing your understanding of the concepts and skills necessary for successful completion of the course.

CHECK-IN ASSIGNMENTS

There will be regular Check-in assignments. The Check-in assignments will consist of several exercises which should reinforce some of the basic concepts and skills that have been presented in the recent sections. They will be completed using an assessment system called IMathAS. Direct links to the assignments are provided through Canvas. No additional sign-in will be required of you. For information related to how to input mathematical notation through the system,  access the IMathAS Entering Answers Page .  Please be sure to turn-off any pop-up blockers while accessing these assignments. The lowest check-in assignment grade will be dropped.  The version of IMathAS we will be using is housed on Valencia College servers.  Thus any information related to the use of this system falls under  Valencia College's general privacy policy .

Check-in assignments will be due approximately 2 days after the topic is covered in class. For example, if we finish the a topic on a Monday, then the Check-in Assignment for that topic will be due at 11am on Wednesday. If we finish the topic on a Wednesday, then the Check-in Assignment for that topic will be due at 11am on Friday. 

Feedback for Check-in assignments is immediate.  Once you submit an answer, the system will let you know if it is correct or incorrect.  If you have further questions regarding these assignments, contact the instructor. Up to five check-in assignments may be completed within 72 hours of the due date through the use of the Latepass system.

The Check-in Assignments will count for 15% of your grade for the course.

QUIZ ASSIGNMENTS

There will be quizzes in this course.  The quizzes may be announced or unannounced.  The quizzes may be taken during the class session or submitted electronically as a "take-home" quiz.  If the quiz is a "take-home" quiz, it will be submitted through Canvas. You should download/print the quiz, complete the quiz exercises, and submit your quiz assignment through the appropriate link in Canvas as a .PDF file. If you do not know how to produce a .pdf file, I will provide links in Canvas with a couple different methods. Any "take-home" quizzes will be due in Canvas by 11:59pm. Late quiz submissions will not be accepted and you will receive a grade of zero for the assignment! 

I strive to have the quizzes scored and returned to students by the next class meeting.  I will provide brief feedback on exercises that do not receive full credit.  The grade book will be updated after I have completed grading all of the quizzes.  An answer key for the quiz will be provided after I have completed grading all of the quizzes.

The Quiz Assignments will count for 15% of your grade for the course. One quiz assignment will be dropped at the end of the semester to account for attendance issues.

TESTS

There will be four unit tests. These tests will be paper-and pencil, free-response (not multiple-choice) tests. You will be expected to show work for full credit on test exercises.  If you do not take the test during the announced class session, you will receive a grade of zero (0) for the test.

I strive to have graded tests back to the students at the next class session.  An answer key for the test will be provided after I have completed grading all of the tests.

The tests will count as 50% of your final grade.

FINAL EXAM

There will be a comprehensive Final exam.  The Final exam will be a paper-and-pencil, free-response (not multiple-choice) test. You will be expected to show work for full credit on test exercises.  If you do not take the Final exam during the announced class session, you will receive a grade of zero (0) for the Final exam. If you earn a grade of 70% or better on the final exam, then your final exam grade will be used to replace your lowest test grade, if beneficial. 

I strive to grade the final exam within 2 working days after the exam.  The grade book will be updated after I have completed grading all of the exams.  Final exams are not returned. I will schedule time for you to review your exam at my office during the last week of the semester.

The Final exam will count as 20% of your final grade.

COURSE GRADE

Your final grade in MAC2311 will be determined from the weighted average of the check-in and quiz assignments, tests and the final exam.

The grading scale is as follows: A: 90-100%, B: 80-89.99%, C: 70-79.99%, D: 60-69.99%, F: below 60%

MAKEUP POLICY

The is a "LatePass" system in place that will allow you to complete up to 5 IMathAS Check-in assignments after the due date.

There will not be makeups for any quizzes. 

Makeups for Tests or the Final Exam will be dealt with on a case-by-case basis.  Proof of Military Orders, Jury Service or Medical Emergency will be expected in these situations.

COURSE OVERVIEW:

Course Overview Table
Week Topics
1 The Tangent and Velocity Problems; Introduction to Limits; One-Sided Limits
2 Finding Limits Analytically; Continuity and the Intermediate Value Theorem; Limits Involving Infinity
3 Instantaneous Rate of Change and the Derivative
4 Interpretations of the Derivative, Higher Derivatives, and Differentiability; Basic Derivative Formulas; 
5 The Product and Quotient Rules; The Chain Rule;
6  Implicit Differentiation; Derivatives of Inverse and Hyperbolic Functions; Related Rates; 
7 Indeterminate Forms and l'Hopital's Rule; Differentials and Linear Approximations
8 Critical Numbers; Extreme Values; Rolle's Theorem and The Mean Value Theorem for Derivatives
9 The First Derivative and the Shape of a Graph; Concavity and the Second Derivative
10 Curve Sketching; Constrained Optimization
11 Newton's Method
12 The Antiderivative; 
13 The Area Problem and Definite Integrals; The Fundamental Theorem of Calculus; 
14 The Substitution Rule
15/16 Additional Topics / Final Exam

Here you can download the full expected schedule for the course.

IMPORTANT DATES:

Important Dates for Fall 2021
Class Begins August 23
Labor Day -- College Closed September 6
Veterans Day -- College Closed November 11
Withdraw Deadline November 3
Thanksgiving Break -- College Closed November 24 - 28
Final Grades Posted December 14
Winter Break -- College Closed December 22 - January 2

COVID-19 CONCERNS

Mask policy and CDC Physical Distancing Guidelines

The health and safety of everyone at the college is our top priority. Therefore, anyone attending the class is expected to wear masks indoors and maintain physical distancing. If you do not have a mask, the college will provide one for you. You may find it helpful to refer to current research on the importance of masking for public safety. Feel free to check out the CDC guidelines on masking, located at this link.

COVID-19 Wellness, Reporting, and Support

If you find yourself feeling unwell and suspect you might be experiencing symptoms of COVID-19, test positive for COVID-19, or have been in close contact with someone who has the COVID-19 virus, please stay home. Please also report this to Valencia’s COVID-19 case manager Tanya Mahan, at COVIDillness@valenciacollege.edu, so the College can determine how to best support you. 

If you are unable to participate in the course due to illness, family emergency, etc., please communicate with me as soon as possible in order to create a plan for the best course of action.   In the case of a prolonged online absence of one week or more, you and I will meet to discuss options and determine your ability to continue in the course.

ATTENDANCE

Regular attendance at the class sessions is expected.  That being said; if you feel unwell, contact me and DO NOT COME TO CLASS. If someone in your household is unwell, contact me and DO NOT COME TO CLASS.  If you test positive for COVID-19, contact me and DO NOT COME TO CLASS.

WITHDRAWAL:

Students in this online course are required to attend class during the first week of the course to demonstrate attendance. 

You are expected to regularly attend class and keep up with the assignment deadlines. Students that who miss several class sessions will be contacted by the instructor via Canvas Inbox messaging regarding expectations for the remainder of the semester. If those expectations are not met, the student may be withdrawn from the course.

The withdraw deadline for a grade of W is November 3, 2021. If you decide to withdraw, you must do so through ATLAS. If you do not withdraw from the class by this date, you will receive a letter grade of A, B, C, D or F for the course. For a complete policy and procedure overview on Valencia Policy 4-07 please go to:

Valencia College Academic Progress, Course Attendance, and Grades and Withdrawals Policy

STUDENT CODE OF CONDUCT:

All students are expected to be in compliance with Valencia College’s policy on student code of conduct.

Valencia College Student Code of Conduct Policy

ACADEMIC HONESTY:

All students are expected to be in compliance with Valencia College’s policy on academic honesty. All tests should be completed without any assistance, including online resources. Acts of Academic Dishonesty may result in disciplinary action, including zero grades and course failure. Please refer to the student handbook for details:

Valencia College Academic Dishonesty Policy

INTELLECTUAL FREEDOM AND VIEWPOINT DIVERSITY

Students may record video or audio of class lectures for their own personal educational use. A class lecture is defined as a planned presentation by a college faculty member or instructor, during a scheduled class, delivered for the purpose of transmitting knowledge or information that is reasonably related to the pedagogical objective of the course in which the student is enrolled. Recording class activities other than class lectures, including but not limited to class discussions, student presentations, labs, academic exercises involving student participation, and private conversations, is prohibited. Recordings may not include the image or voice of other students in the class, may not be used as a substitute for class participation and class attendance, and may not be published or shared without the written consent of the faculty member. Failure to adhere to these requirements may constitute a violation of the College’s Student Code of Conduct.

ZOOM RECORDING POLICY

Class sessions may be recorded for students in the class to refer back and for enrolled students who are unable to attend live. Students who participate with their camera engaged or utilize a profile image are agreeing to have their video or image recorded. If you are unwilling to consent to have your profile or video image recorded, be sure to keep your camera off and do not use a profile image. Likewise, students who un-mute during class and participate orally are agreeing to have their voices recorded. If you are not willing to consent to have your voice recorded during class, you will need to keep your mute button activated and communicate exclusively using the "chat" feature, which allows students to type questions and comments live. Note: To play a previously recorded Zoom session you will need a password.

ONLINE LEARNING ASSISTANCE RESOURCES:

  • East Campus On-site tutoring: Valencia's East Campus Learning Support Center offers in-person math tutoring services at the Math Center located in 4-102.  Visit the East Math Center website to learn more and East Learning Support Center website for additional services and for links to services on all of Valencia's campuses. 
  • Valencia’s Virtual Tutoring Service:  Students can easily access Valencia’s free distance tutoring from a computer, laptop or mobile device.  Distance tutoring services are fully online via Zoom and provided real-time via a Valencia tutor for mathematics, sciences, accounting & economics, computer programming, EAP, foreign languages, and writing. To get started using the Distance Tutoring services, students can visit the Distance Tutoring Home page.  Through this site, students can view the schedule of tutors, find available times, learn more about the services, access tech support and a collection of supplemental resources that are available 24/7. If you have questions regarding college-wide tutoring services, please contact tutoring@valenciacollege.edu.
  • Valencia’s Math Help 24/7: Valencia Math professors have created pen-casts and videos of common lessons to help you learn the concepts being presented in class. This resource is located at Valencia's Math Help 24/7 Web Site . Click on your course to view your lessons. Some lessons have more than one professor’s perspective; watch more than one!
  • Brainfuse: Brainfuse is a 24/7 online tutoring and learning hub available to all of Valencia’s students.  This service is best used as a back-up to Valencia’s virtual tutoring service, not as a replacement. Brainfuse is accessible through Canvas or by visiting the Distance Tutoring Home page and selecting the Brainfuse tab. 

STUDENTS WITH DISABILITIES

Students with disabilities who qualify for academic accommodations must provide a notification from the Office for Students with Disabilities (OSD) and discuss specific needs with the instructor, preferably during the first two weeks of class. The Office for Students with Disabilities determines accommodations based on appropriate documentation of disabilities. There is an Office for Students with Disabilities on each Valencia Campus.

NOTE TO INTERNATIONAL STUDENTS (F-1 OR J-1 VISA)

Please be advised that withdrawal from this course due to attendance may result in the termination of your visa status if you fall below the full-time enrollment requirement of 12 credit hours. Contact Valencia’s International Student Services office for more information.

CORE COMPETENCIES OF A VALENCIA GRADUATE:

Valencia’s Student Core Competencies are complex abilities that are essential to lifelong success. This course will help you to develop and demonstrate the abilities to:

  • THINK clearly, critically, and creatively;
  • COMMUNICATE with others verbally and in written form;
  • Make reasoned VALUE judgments and responsible commitments;
  • ACT purposefully, reflectively, and responsibly.

Due to the nature of these global competencies, many of the problems will be presented in the context of an application. These applications will require students to select appropriate information from the problem and communicate effectively in order to explain and/or describe how the student used the skills they are learning to arrive at an appropriate solution for the problem.

STUDENT FEEDBACK ON INSTRUCTION:

Near the end of the term, students will receive an invitation through their Valencia ATLAS email account asking them to complete the Student Feedback on Instruction (SFI). This survey provides Valencia College professors with feedback on students’ experiences in courses and helps them to continually improve their courses. The results are released only after grades are submitted and students’ names are not included in the results – all responses will be anonymous.

STUDENT ASSISTANCE PROGRAM:

Valencia College has contracted with a private and confidential counseling service (Bay Care Behavioral Health Student Assistance Program (SAP)) to provide FREE short-term assistance to students who need to resolve problems that are affecting their college performance. Examples might include: stress, relationship/family issues, alcohol/drug problems, eating disorders, depression, and gender issues. Students who are experiencing any of these issues and who are enrolled in credit classes at Valencia should call the toll-free number 1-800-878-5470 to speak to a professional counselor. If needed, the counselor may refer the student to appropriate resources or to speak face-to-face with a licensed counselor. For more information, call or visit a Counselor in Student Services on any campus.

SUPPORT FOR STUDENTS WITH FOOD/HOUSING/FINANCIAL NEEDS:

Any student who has difficulty accessing sufficient food to eat, or who lacks a safe and stable place to live, and believes this may affect his or her performance in the course, is urged to meet with a Counselor in the Advising Center for information about resources that may be available from the college or community.

STUDENT ACCOMMODATIONS OF RELIGIOUS OBSERVANCES:

The observance of religious holidays (activities observed by a religious group of which a student is a member) and cultural practices are an important reflection of diversity. Faculty are committed to providing educational opportunities to students of all belief systems. At the beginning of the semester, you should review the course requirements to identify foreseeable conflicts with assignments, exams, or other required attendance. Please contact your professor within the first two weeks of the first class meeting and at least seven calendar days prior to the holy day(s) to allow time for fair and reasonable adjustments as determined by the professor to the schedule and/or tasks. Visit this link for Valencia College's policy on student accommodations of religious observances.

COMMUNITY RESOURCES

Community Pandemic Resources: The Monitoring the Coronavirus Community Resource website contains a list of local and national resources that may be helpful to you or your family during this time.

STUDENT SERVICES

The Student Services departments (answer center, advising, counseling, etc.) schedule contains in-person and virtual office hour information

  • FINANCIAL AID
  • STUDENT COUNSELORS/ADVISING: Students who want to talk with a Valencia counselor for emotional support and resources should:
  • ANSWER CENTER: For general enrollment questions, assistance is available through our Answer Center — which is available on-campus and online. Our student services advisors can answer your questions about financial aid, assessment, transcripts, residency and more.
    • Advisors are available to assist with steps to enrollment, follow up on the admissions process, review and determine financial aid needs, and clarify initial educational goals. Connect on Zoom Virtual Answer Center and Virtual Advising Center:
    • Hours of operation: Mon – Thu. 10:00 am – 7:00 pm, Fri. 9:00 am – 5:00 pm, Sat. 9:00 am – 1:00 pm
    • In-person: 8:00 am to 5: 00 pm by appointment Monday – Thursday on all campuses; Fridays -- East/Osceola/West will operate from 9 am to 5 pm

FERPA (Family Educational Rights and Privacy Act):

FERPA is a Federal law that is administered by the Family Policy Compliance Office (Office) in the U.S. Department of Education (Department). 20 U.S.C. § 1232G; 34 CFR Part 99. FERPA affords students certain rights with respect to their educational records. Valencia College has a firm commitment to protecting the privacy rights of its students. For further information on FERPA, see: Valencia College FERPA Statement

TITLE IX:

Valencia College strives to be a place free from all forms of discrimination. Title IX protects students from discrimination based upon sex including protections against sexual violence, domestic violence, and stalking. This also includes protections for students who are pregnant or may become pregnant. If you experience sexual violence, domestic violence, or stalking and would like assistance there are several options available to you. Valencia partners with the Victim Service Center of Central Florida which is a confidential resource available 24/7. They can be reached by calling 407-497-6701. If you would like assistance on campus, you can go to valenciacollege.edu/eo or contact Valencia College’s Title IX and Equal Opportunity Officer, Ryan Kane, by emailing rkane8@valenciacollege.edu. If you would like to report to law enforcement, you may visit Campus Security or call 911.

Please note that there are no confidential resources on campus. As your professor, I am required to report any information mentioned in this statement to the appropriate campus resources. This will include your name, and detailed information shared with me. We take privacy very seriously at the College and only those who have a legitimate need to know the information will be provided with this information.

If you have more questions about Title IX or the College’s response, please visit valenciacollege.edu/eo.

DISCLAIMER:

Changes in the syllabus, schedule, evaluation procedures, and/or homework assignments may be made at any time at the discretion of the professor. In case you are absent, it is your responsibility to find out what, if any, announcements or changes have been made.

Course Summary:

Course Summary
Date Details Due