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Syllabus: MAC 2312 Analytic Geometry and Calculus II
Fall semester 2024
Welcome to MAC 2312 – Calculus II
This course is part of the STEM Core, a set of critical and foundational courses consisting of mathematics,
chemistry, physics, programming, and STEM applications. These courses build the skills and conceptual
understanding you need to succeed in all degree programs. Data show that completing these courses in your
freshman (first) year is the best path towards a high-powered STEM degree and an on-time graduation. Courses
in the STEM Core share similar formats and expectations. The faculty across the STEM Core work together to
help you succeed. Make these courses a priority!
Academic Integrity
Students are expected to adhere to the highest standards of academic integrity. Violations of
academic integrity, particularly cheating and plagiarism, undermine the central mission of the
university and negatively impact the value of Florida Poly degrees. Suspected violations will be fully
investigated, possibly resulting in an academic integrity hearing and sanctions against the accused
student. More information about Florida Poly’s academic integrity policies and procedures can be
found here: https://floridapoly.edu/wp-content/uploads/2017/07/FPU-5.005-Academic-Integrity-
7.29.14.pdf#search=academic%20integrity
Official Email Address
Florida Polytechnic University email is the official method of communication for the University. Students are
required to check their email frequently (at least once per day).  We cannot reply to any email received from an
address other those that end in floridapoly.edu.
Midterm Exams
Midterm exam dates will be finalized early in the semester and those dates/times will be posted to our Canvas
course site once available.  Exam dates are subject to change and you should refer to the Academic
Calendar website for the most up-to-date exam schedules. Exam dates will also be announced in class at least
one week prior to the scheduled event.
Course Structure and Required Texts
All course content will be organized and communicated via the course’s Canvas page
(https://floridapolytechnic.instructure.com/
). Each week’s course module will include links to the relevant
sections of the online textbook and any other required resources. These resources will vary from week to week,
therefore it is essential for you to regularly visit the Canvas page to see where to look for additional help for
each topic.
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Our main text throughout most of the course will be OpenStax Calculus Volume 2, though we will be using
OpenStax Calculus Volume 3 as a supplementary text for some material. These are both free textbooks available
online, and will act as our primary resources for content, readings, and problems.
Textbook: OpenStax Calculus Volume 2, https://openstax.org/details/books/calculus-volume-2
Textbook: OpenStax Calculus Volume 3, https://openstax.org/details/books/calculus-volume-3
Instructor Information
Instructor: XXX
Office: XXX
Email: XXX
Office Hours: XXX
Course Information
Course Number and Title: MAC 2312 Analytic Geometry and Calculus II, Section XX
Meeting time: XXX
Credit Hours: 4
Current Academic Term: Fall 2024
Course Delivery and Course Description
Delivery Mode: Face-to-face
Course Website: https://floridapolytechnic.instructure.com/
Official Catalog Course Description: An introduction to the theory and applications of integration. Topics
include techniques for finding anti-derivatives, numerical integration, an introduction to differential equations,
applications of integrals to real-world problems, parametric equations, Taylor polynomials, and a basic
introduction to infinite series and power series.
Gordon Rule (6A-10.030): No
Prerequisites: A grade of C or better in MAC 2311 - Analytic Geometry and Calculus 1
Equipment and Material:
Laptops will often be required in class (see Canvas for additional details on what laptops are suitable). During
some classes, some cell phones may be appropriate substitutes when a laptop is not available. For example, we
will often need technology that can adequately run Desmos or Excel. Graphing calculators are not allowed. The
required calculator for this class is the TI-30XIIS. No other calculators are allowed.
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Course Objectives:
To help the students build up a solid foundation in mathematical reasoning by acquiring important building
blocks and skills. Also, giving the students the tools to apply the learned knowledge to solve routine and non-
routine problems with emphasis placed on solving applications by mathematical modeling.
Course Learning Outcomes:
The following topics will be used to measure the student learning outcome “Demonstrate fluency in
mathematics concepts”, which corresponds to the Mathematics Reasoning Competency:
1. Interpret a differential equation model to determine the behavior of the system it describes, either by
solving the differential equation (exactly or numerically) or by qualitatively describing its solution's
behavior (by applying a slope field, a phase line, or equilibrium analysis).
2. Apply an understanding of how a given real-world system changes to define a reasonable differential
equation to model it. Interpret a given differential equation model to reach conclusions about how the
corresponding real-world system changes.
3. Create and evaluate a Riemann sum or definite integral to approximate or exactly compute the value of
a given geometric or physical measurement (e.g. area, volume, arc length, mass, force).
4. Select and apply an appropriate numerical integration technique (e.g. left endpoint rule, right endpoint
rule, midpoint rule, trapezoidal rule) to approximate the value of a definite integral, and analyze the
error in this approximation.
5. Select and apply an appropriate strategy to evaluate a given indefinite integral using an appropriate
combination of basic antidifferentiation rules, substitution, integration by parts, and partial fraction
decomposition. Evaluate a given definite integral using the Fundamental Theorem of Calculus,
properties of integrals, or basic geometry.
6. Determine the convergence properties of an infinite series, either by directly applying the definition of
convergence or by applying an appropriate convergence test (e.g. divergence test, ratio test, alternating
series test). Compute or approximate the sums of selected types of infinite series (e.g. geometric series,
alternating series).
7. Find the power series representation or polynomial approximation for a given function, either from the
definition of a Taylor series or by manipulating a closely-related power series.
8. Apply a power series to approximate a given function, and apply Taylor's Theorem and convergence
analysis to determine the error bound and convergence properties of the approximation.
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Grading Scale
Grade
A
B+
B
B-
C+
C
D
F
Percentage
90%
87%
83%
80%
77%
70%
60%
< 60%
GPA
4.0
3.33
3.0
2.67
2.33
2.0
1.0
0.0
Assignment/Evaluation Methods
Homework 14%
Projects 10%
Quizzes 5%
Attendance 3%
Exam 1 17%
Exam 2 17%
Exam 3 17%
Final Exam 17%
_________________________________________
Total 100%
Homework: Homework will be assigned on Canvas on a regular basis and will cover important topics to help
you to better learn the course material and to prepare for the exams. Dates and topics for these assignments
will be announced via Canvas.
Homework assignments will generally consist of two parts: an online part and a hand-written part. The online
part will be completed entirely online through a homework system called Edfinity (details for enrolling in
Edfinity can be found on the Canvas page). The hand-written part will be handwritten and submitted digitally as
a single through Canvas. You can do so by scanning your work and submitting a PDF.
Hand-written submissions will be graded on the basis of presentation (presenting professional, readable work),
completeness (attempting a full solution for all assigned problems), and correctness (a subset of problems in
each assignment will be fully graded for correctness). In order to receive full credit for a solution you must
clearly communicate and annotate all steps thoroughly enough for a reader to easily see what you are doing
and why.
It is vitally important that you make a solid effort to consistently complete all parts of the homework
assignments. Students that consistently skip homework or consistently perform poorly on homework
assignments do not do well in this class. Keep in mind that homework is not an exam, and that you are
encouraged to discuss assignments with other students (as long as you submit your own work) and to ask your
instructor for help as often as you like.
Homework submitted up to 24 hours after the posted due date will be accepted with a 20% penalty. No
submissions will be accepted more than 24 hours late. Unexcused late work will not be accepted for any reason,
including due to technical issues with Canvas, so be sure to submit early to avoid unexpected delays. If you are
having issues submitting your assignment, be sure to email your work to your instructor before the cutoff to
demonstrate that you’ve made a good-faith effort to meet the deadline. It is your responsibility to ensure that
you submit the correct file. No corrections will be accepted after the cutoff for any reason. At the end of the
semester your lowest two homework scores will be dropped.
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Projects: Small group projects will be assigned periodically throughout the semester to supplement our
coverage of selected topics. The purpose of these projects is to give you some hands-on experience working
with concepts, to discover some results on your own through experimentation, and to discuss ideas with your
classmates. Project topics, dates, and submission requirements will be discussed in class, and project
submissions will be graded on the basis of completeness, correctness, and presentation.
In addition, a major cumulative final project will be assigned near the end of the semester (see the below
schedule for tentative final project dates). This will consist of a multi-day group project that incorporates
material from all units, and is meant to act as both a cumulative review and a cumulative evaluation before the
final exam. Details for the final project will be announced in class.
Quizzes: Quizzes will be given in class. Tentative quiz dates are included in the schedule below. Quizzes are
meant to act as quick checks of the important concepts and skills to be featured on the next exam in order to
help you to identify topics that you will need to work on more in preparation. Like exams, quizzes are a form of
assessment, and you are expected to prepare for them ahead of time. At the end of the semester your lowest
quiz score will be dropped.
Attendance: To succeed in this class it is essential that you attend class regularly. Attendance will be taken daily
to determine your attendance grade. Coming to class to be counted and then leaving is not permitted.
Falsifying attendance for yourself or for another student is an act of academic dishonesty and is considered a
violation of the university’s academic integrity policy.
Exams: There will be three common unit exams during the semester, held in the evening outside of class.
Tentative exam dates are included in the schedule below. Exact dates, times, and room numbers will be
released by the Registrar after the semester begins.
Final Exam: There will be a common, comprehensive exam at the end of the semester. The final exam schedule
will be released by the Registrar during the semester. Your lowest exam score may be replaced by your final
exam score if that would improve it, up to a maximum of 80%.
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Schedule of Topics by Week
Note: Most book sections below refer to OpenStax Calculus Volume 2. Those that reference Volume 3 instead
indicate so.
Be aware that quiz and exam dates, their coverage, and the topic schedule are subject to change. The STEM
Core common exams will be deconflicted to avoid holding too many during the same week, which may result in
some of the below exam dates and unit cutoffs moving up or down.
Week
Notes and Important Dates
Week 1
Aug 19 – Aug 24
Course Introduction
Tue Aug 20: First Day of Class
Week 2
Aug 26 – Aug 30
Week 3
Sep 2 – Sep 6
1.2 The Definite Integral
1.3 The Fundamental Theorem of Calculus
Mon Sep 1: Labor Day (No Classes)
Wed Sep 4: Quiz 1 (4.1-4.2, 4.4)
Week 4
Sep 9 – Sep 13
Vol 3: 3.2 Calculus of Vector-Valued Functions
Week 5
Sep 16 – Sep 20
End of Unit 1
Beginning of Unit 2: Applications and Techniques of
Integration
Mon Sep 16: Quiz 2 (1.1-1.5, Vol 3: 3.1-3.2)
Date TBD: Exam 1
Week 6
Sep 30 – Oct 4
2.1 Areas Between Curves
Week 7
Oct 7 – Oct 11
2.5 Physical Applications (linear mass and hydrostatic
force only)
Fri Oct 11: Quiz 3 (2.1-2.2, 2.5, Vol 3: 3.3)
Week 8
Oct 14 – Oct 18
3.4 Partial Fractions (non-repeated linear factors only)
Unit 2 Review
Fri Oct 18: Quiz 4 (1.5, 3.1, 3.4)
Week 9
Oct 21 – Oct 25
Date TBD: Exam 2
Week 10
Oct 28 – Nov 1
Week 11
Nov 4 – Nov 8
only)
5.5 Alternating Series
Fri Nov 8: Quiz 4 (5.1-5.3, 5.5-5.6)
Week 12
Nov 11 – Nov 15
Mon Nov 11: Veteran’s Day (No Classes)
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Week 13
Nov 18 – Nov 22
6.4 Working with Taylor Series (selected topics)
Unit 3 Review
Wed Nov 20: Quiz 6 (6.1-6.3)
Week 14
Nov 25 – Nov 29
Date TBD: Exam 3
Wed Nov 27 – Fri Nov 29: Thanksgiving Break
(No Classes)
Week 15
Dec 2 – Dec 6
Final Project
Wed Dec 4: Last Day of Classes
Thu Dec 5 – Fri Dec 6: Reading Days (No
Classes)
Course Policies
Attendance
• Students in face-to-face courses are expected to attend all of their scheduled University classes and to
satisfy all academic objectives as defined by the instructor. (University Policy, FPU-5.0010AP) (see also
University Policy
).
• Attending class regularly is crucial for success in this course. Attendance will be taken daily.
• Note: Falsifying attendance for yourself or for another student is an act of academic dishonesty and is
considered a violation of the university’s academic integrity policy.
Students Feeling Sick
Students should not come to class if they are feeling ill, particularly if experiencing symptoms of COVID-19, or if
you have been directed by a health professional to quarantine. Students who are experiencing an emergency
situation that aligns with an academic exercise of consequence (e.g./a Common Exam) should work with CARE
Services at care@floridapoly.edu
Late Work/Make-up work
Make-up exams/quizzes will be given only in extreme circumstances with a documented excuse. If you will miss
an exam because you are participating in a college-sponsored activity, inform your instructor before the exam
and provide them with documentation. Late homework/project submissions will not be accepted.
Exam Calculator Policy
TI-30XIIs is the only calculator allowed on examinations, though there may be portions of exams which are
designated to be completed without a calculator. Testing format pertaining to calculator accessibility will be
disclosed prior to the examination.
Academic Support Resources
• Library: Students can access the Florida Polytechnic University Library through the University website
and Canvas, on and off campus. Students may direct questions to library@floridapoly.edu
.
• Peer Learning Strategists (PLS): Are specially trained student leaders who help their peers strategize
approaches to course content and work through solution methods. PLS work in collaboration with the
courses they support so the content and methods are aligned with your instructors’ expectations.
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Students can meet with a PLS in The Learning Center, which is located on the first floor of the
Innovation, Science and Technology (IST) building in room 1019.
• Academic Success Coaches: All students at Florida Poly are assigned an Academic Success Coach. Your
Academic Success Coach can assist you with academic success strategies. Please visit the Student
Success Center on the second floor of the IST building to meet with an Academic Success Coach.
• Writing Center: Located on the second floor of the IST (2059/2061), the Writing Center helps students
to develop their writing and presentation skills. Consultations are available in person and virtually. For
more detail, visit https://floridapoly.edu/writingcenter
.
Participation
Students are expected to participate in the classroom experience. The use of earbuds/headphones during class
is specifically not allowed and students who engage in this behavior may be asked to leave the class for the day
(noting exceptions for authorized accommodations). In addition, students who routinely do not bring materials
to class that are required for participation, will not be given credit for class attendance, and if this becomes a
pattern of behavior, may be asked to leave the class for the day. Persistent problems with participation may
result in a code of conduct referral.
University Policies
Reasonable Accommodations
Florida Polytechnic University is committed to assisting students with disabilities and offering reasonable
accommodations to those with documented eligibility. The Office of Disability Services (ODS) coordinates
accommodations for students with disabilities in accordance with the ADA Amendments Act of 2008 (ADAAA),
the Americans with Disabilities Act of 1990 (ADA), and Section 504 of the Rehabilitation Act of 1973.
Reasonable accommodations are determined on an individual basis through an interactive process between
you, ODS, and your instructor(s). If you have already registered with ODS, please ensure that you have
requested an accommodation letter for this course and communicate with your instructor about your approved
accommodations at your earliest convenience. If you are not registered with ODS but believe you have a
temporary health condition or permanent disability requiring an accommodation, please contact ODS as soon
as possible.
The Office of Disability Services (ODS):
DisabilityServices@floridapoly.edu
(863) 874-8770
The Access Point
ODS website: www.floridapoly.edy/disability
Accommodations for Religious Observances, Practices and Beliefs
The University will reasonably accommodate the religious observances, practices, and beliefs of individuals in
regard to admissions, class attendance, and the scheduling of examinations and work assignments. (See
University Policy
.)
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Title IX
Florida Polytechnic University is committed to ensuring a safe, productive learning environment on our campus
that prohibits sex discrimination and sexual misconduct, including sexual harassment, sexual assault, dating
violence, domestic violence and stalking. Resources are available if you or someone you know needs assistance.
You may speak to your professor, but your professors have an obligation to report the incident to the Title IX
Coordinator. Please know, however, that your information will be kept private to the greatest extent possible.
You will not be required to share your experience. If you want to speak to someone who is permitted to keep
your disclosure confidential, please seek assistance from the Florida Polytechnic University Ombuds Office
,
BayCare’s Student Assistance Program, 1-800-878-5470 and locally within the community at Peace River Center,
863-413-2707 (24-hour hotline) or 863-413-2708 to schedule an appointment. The Title IX Coordinator is
available for any questions to discussion resources and options available.
Student Record of Lectures
Students may, without prior notice, record video or audio of a class lecture for a class in which the student is
enrolled for their own personal educational use.
Recordings may not be used as a substitute for class participation or class attendance. Recordings may not be
published or shared in any way, either intentionally or accidentally, without the written consent of the faculty
member. Failure to adhere to these requirements is a violation of state law (subject to civil penalty) and the
student code of conduct (subject to disciplinary action).
Recording class activities other than class lectures, including but not limited to lab sessions, student
presentations (whether individually or part of a group), class discussion (except when incidental to and
incorporated within a class lecture), and invited guest speakers is prohibited.