Course Syllabus
MATH-M 216 (Calculus II)
Spring 2021
Instructor Information
Instructor: Thomas Horine, Ph.D., Assistant Professor of Mathematics
Office location: LF102
Telephone: (812) 941-2522
E-mail: thorine@ius.edu
Office hours:
Our office hours will be held in Zoom. Note that if you want to meet on a Friday, please let me know 24 hours in advance.
- MW 1-3 pm (drop-in)
- F 1-3 pm (by appointment, 24 hours advanced notice please)
- other times also available by appointment, just ask!
My Spring 2021 Office Hours Zoom link is: https://iu.zoom.us/j/86930615359
To connect via Meeting ID, use: 869 3061 5359
Course Identification
Course number: Math-M 216
Section number: 17241
Meeting times: none; online asynchronous
Course name: Calculus II
Prerequisites: MATH-M 215 with a C or better.
Required Text & Material
Our Calculus series uses the OpenStax Calculus textbooks. The material in this course is mainly from:
Calculus, Volume 2 from OpenStax, ISBN 1-947172-14-X (digital)
However, at the end of the course, we will study a few sections from:
Calculus, Volume 3 from OpenStax, ISBN 1-947172-16-6 (digital)
There are several options to obtain this book:
- View online (Links to an external site.)
- Download a PDF (Links to an external site.)
The sections corresponding to each week's module will be linked in that module. You can see how this looks in Modules.
Graphing calculators, and calculators that perform numerical integration and differentiation (e.g. TI-36X Pro), are not allowed on any examination in this course. A scientific calculator is required. The TI-30X IIS is particularly inexpensive and functional. If you are unsure whether your calculator is acceptable, please ask during the first week.
Course Organization & Grades
This course will have four main components, with an exam at the end of each. There is also a mini-exam, called Exam 0, over just the first two sections, open during Week 2. This exam is to help get you acclimated to the Examity proctoring system. Finally, there is a cumulative final exam.
There are weekly homework assignments.
When figuring your course grade, the follow scale will be used.
| Range | Grade | Range | Grade |
| \(97\leq x\leq 100+\) | A+ | \(77\leq x < 79.5\) | C+ |
| \(92.5\leq x < 97\) | A | \(72.5 \leq x < 77\) | C |
| \(89.5 \leq x < 92.5\) | A- | \(69.5 \leq x < 72.5\) | C- |
| \(87\leq x < 89.5\) | B+ | \(67 \leq x < 69.5\) | D+ |
| \(82.5 \leq x < 87\) | B | \(62.5 \leq x < 67\) | D |
| \(79.5 \leq x < 82.5\) | B- | \(59.5 \leq x < 62.5\) | D- |
| \(x < 59.5\) | F |
Your course grade will be comprised of the following:
- Final Exam: 20%
- Main Exams: 50% (12.5% each)
- Exam 0: 5%
- Homework 25%
Course Components
Textbook Reading
It is important that you read the textbook. In many of your future careers, you will be expected to read and absorb technical material on your own. Believe it or not this is a skill in itself. Getting practice in this controlled environment (where you have the backup of your lectures) is a educational component many students skip over. Some of the mathematical content may be difficult to absorb in one read, but I would suggest you try to get what you can out of it on your own. (My videos should help you pick up the rest and solidify the pieces you did understand from the book.) Usually, I would suggest going over the textbook before watching my lecture videos, but in some cases the weekly overview page might suggest just the opposite.
Lecture Videos
It is important that you watch the lecture videos. Do not email questions about an assignment before having watched the videos. If you can do all the work just by reading the textbook (and perhaps watching other videos), that is certainly acceptable. However this does not work well for most students. The content of the videos will be quite parallel with that of the textbook, in that I will cover the theory, the explanation, and the examples (usually different than the book, but related), but I may do so a bit differently than the book, so it is good to expose yourself to both.
Weekly Homework
These are written assignments to be handed in electronically via Canvas. These cover basic problem types from the sections' material. (Notice that they constitute 25% of your grade.) Do not hesitate to ask for help. It is ok to work with others, but the work you hand in must be your own work. Do not directly copy the work of another.
These assignments are due the Tuesday after the module week they are assigned. As an example, the Week 3 assignment will be due on the Tuesday of Week 4. However that material is still Week 3 material, and as such you should have done the reading and watched the videos during Week 3, not Monday or Tuesday of Week 4. I would strongly suggest that you try to finish all the work (reading quizzes and weekly homework) for a week during that week, leaving only the need to resolve the occasional question for the following Monday's office hours. The only reason your assignments are due the following Tuesday instead of the end of the week itself is to allow for such questions.
I post solutions to the homework the day after it is due, so late assignments cannot be accepted. It is important that I post these solutions so that students can use them to study, especially on the week of an exam.
Exams
Each exam, including Exam 0 and the final exam, will be on Canvas, proctored by Examity. In fact, the whole point of Exam 0 is to get you more comfortable with the Examity process. These exams are modeled after the problems that you have seen on your homeworks. In particular, your homeworks serve as a study guide for each exam. Each exam will be open from the Monday through Saturday of the week it is assigned.
Learning Outcomes
By the end of the semester, you should be able to:
- Find derivatives of inverse trigonometric and hyperbolic functions.
- Use L'Hospital's Rule to find limits. (Now covered in Calculus I.)
- Find integrals using integration by parts, trigonometric substitutions, or partial fractions.
- Evaluate improper integrals.
- Use Simpson's Rule to approximate definite integrals.
- Find the arc length of curves.
- Find slopes, areas, and arc lengths of curves defined by parametric or polar equations.
- Find limits of sequences.
- Evaluate telescoping and geometric sums and series.
- Apply the integral, comparison, alternating series, ratio, and root tests to determine the convergence of series.
- Use and manipulate power series for elementary functions. Find power series, including Taylor series, for functions; differentiate or integrate these, and use them to approximate functions.
- Compute dot and cross products of vectors, find vector projections, and use these to find angles, distances, or areas in three dimensions.
Bulletin Description
The following is the description of the course that you will find in the current IUS Bulletin. For more helpful detail on course content, please see the Learning Outcomes directly above.
(Shared with MATH-M 215)
Limits, continuity, derivatives, definite and indefinite integrals, applications, techniques of integration, infinite series.
Academic Misconduct
Acts of academic misconduct may include:
- using unapproved technology or resources during an exam
- sharing exam information to students who have not yet taken the exam
- copying work from another student (or other third party source, including Chegg) and submitting it as your own
- having another student write your paper
- facilitating any of the above
Acts of academic misconduct at IUS may receive sanctions ranging from a 0 on an assignment to expulsion from the university.
Accessibility & Privacy
This course uses Canvas as its course site. Please see the following links for more specific information regarding accessibility and privacy.
- Canvas Accessibility Statement (Links to an external site.)
- Canvas Privacy Statement (Links to an external site.)
- Examity Privacy Statement (Links to an external site.)
The Examity Accessibility Statement may be found as a PDF at this local link.
Technology Assistance
Students encountering any technology problems (lost password, Canvas access, etc.) have several options:
- Visit IT Help Live for 24/7 chat with an IT Support Center consultant
- Call (812) 941-2447 (extension 2447 from campus phones)
- E-mail helpdesk@ius.edu
Communication, Expectations, & Etiquette
- You may contact me directly via e-mail, if that is more convenient, but I urge you to use the Canvas messaging functionality. If you choose to use direct e-mail, I will not be able to discuss grades, etc., unless you use your official IU/IUS email account. My goal is to reply to all messages within 24 business hours. (During the weekend, I might not respond.)
- The discussion boards in this course are not just another message board. Behavior that might be tolerated on other public sites will not be tolerated here. In particular:
- Online, it is easy to forget you are communicating with real people. Keep in mind the humanity of the person with whom you are communicating. If you would not say a certain thing to them in a face-to-face scenario, do not say it to them here.
- Avoid offensive language. This includes, to an extent so obvious I hope it does need mentioning, any remarks that could reasonably be construed as racist, sexist, or otherwise bigoted. If you are not sure, that is a good sign you should not post it.
- Do not engage in libel. Do not joke about or otherwise discuss committing illegal acts. This includes violation of copyright law.
- Do not spam the message boards. If you are not sure where a message was posted, please wait before resubmitting. If you do post a message more than once by accident, please delete the superfluous copies.
- Use strong type or emphasis to set apart particularly important text. Using *starred text* is a good option when communicating via a mobile device. Please refrain from ALL CAPS.
Course Evaluations
Toward the end of the semester, you will be able to complete a course evaluation questionnaire. Your responses to this are completely anonymous. These evaluations are important in helping me make this course more efficient and effective. Therefore, I urge you to complete these. More information will be given when the questionnaires are made available.
University Statements
At IU Southeast, we have placed all university policies on a single website, easily accessed from every Canvas course site. Simply look at the left navigation bar and click on Succeed at IU Southeast. You can find links to sites with a great deal of useful information including
- How to avoid plagiarism and cheating
- Disability Services
- FLAGS
- Tutoring centers
- Canvas Guides
- Financial Aid
- Sexual Misconduct
- Counseling
- Writing Center
- Much more!
My expectation is that you review university policies carefully to ensure you understand the policy and possible consequences for violating the policy. Please contact me if you have any questions about any university policy.
Course Schedule
In the table, the link for each week takes you to that week's overview page. Textbook section links take you to the videos page for that section. Exam links take you to the info page for that exam.
Our weeks are defined as going from Monday to Friday. However, I allow exam due dates to go through to the Saturday of the corresponding week.
| Week # | Dates (M -- F) | Textbook Sections Covered |
| 1 | 1/18 -- 1/22 |
§1.7 - Integrals Involving Inverse Trig Functions §2.9 - Hyperbolic Functions §3.1 - Integration by Parts |
| 2 | 1/25 -- 1/29 | [Exam 0] §3.2 - Trigonometric Integrals §3.3 - Trigonometric Substitution |
| 3 | 2/1 -- 2/5 |
§3.4 - Partial Fractions §3.6 - Numerical Integration §3.7 - Improper Integrals |
| 4 | 2/8 -- 2/12 | [Exam 1] §5.1 - Sequences |
| 5 | 2/15 -- 2/19 |
§5.2 - Infinite Series §5.3 - Divergence and Integral Tests §5.4 - Comparison Tests |
| 6 | 2/22 -- 2/26 |
§5.5, - Alternating Series §5.6 - Ratio and Root Tests §6.1 - Power Series |
| 7 | 3/1 -- 3/5 |
§6.2 - Properties of Power Series §6.3 - Taylor and Maclaurin Series §6.4 - Working with Taylor Series |
| 8 | 3/8 -- 3/12 | [Exam 2] §2.4 - Arc Length of a Curve and Surface Area |
| 9 | 3/15 -- 3/19 |
§2.5 - Physical Applications §7.1 - Parametric Equations |
| 10 | 3/22 -- 3/26 |
§7.2 - Calculus of Parametric Curves §7.3 - Polar Coordinates §7.4 - Area and Arc Length in Polar Coordinates |
| 11 | 3/29 -- 4/2 | [Exam 3] §7.5 - Conic Sections |
| 12 | 4/5 -- 4/9 |
§2.1 (Calc 3 book) - Vectors in the Plane §2.2 - Vectors in Three Dimensions §2.3 - The Dot Product |
| 13 | 4/12 -- 4/16 |
§2.4 - The Cross Product §2.5 - Equations of Lines and Planes in Space |
| 14 | 4/19 -- 4/23 | [Exam 4] |
| 15 | 4/26 -- end | Finals Week (Wed 4/28 - Tue 5/4) |
Course Summary:
| Date | Details | Due |
|---|---|---|