Course Syllabus

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 Spring 2024 MATH-M 216 (Calculus II) syllabus

  About Your Instructor

Instructor: Thomas Horine, Ph.D., Assistant Professor of Mathematics

Office location: LF102

Phone: (812) 941-2522

E-mail: thorine@ius.edu

Office Hours: My office hours are held simultaneously on Zoom and in person. Note that if you want to meet on a Friday, please let me know 24 hours in advance.

  • MW 1:00 -- 2:30 pm (walk-in)

  • F noon -- 2:00 pm (by appointment, 24 hours notice please)

  • Other times are also available by appointment, just ask!

Zoom Room: Click this linkLinks to an external site. to log into the Zoom meeting. To connect via Meeting ID, use: 825 207 6337

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 Course Identification

Course number: Math-M 216

Section number:

  • online section: 28026
  • face-to-face section: 32737

Meeting times:

  • online section: none (asynchronous)
  • face-to-face section: MWF 9:30am -- 10:50am (LF 139)

Course name:  Calculus II

Prerequisites: MATH-M 215 with a C or better.

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 Required Texts and Materials

Required Text

Our Calculus series uses the OpenStax Calculus textbooks. The material in this course is mainly from: 

Calculus, Volume 2 from OpenStaxLinks to an external site., ISBN 1-947172-14-X (digital)

However, at the end of the course, we will study a few sections from:

Calculus, Volume 3 from OpenStaxLinks to an external site., ISBN1-947172-16-6 (digital)

There are several options to obtain this book:

The sections corresponding to each week's module will be linked in that module. You can see how this looks in Modules.

Calculators

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 isrequired. The TI-30X IIS is particularly inexpensive and functional. If you are unsure whether your calculator is acceptable, please ask during the first week.

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 Course Organization & Grades

This course will have five units, with an exam following each. For online students, 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. It is only worth a few homework problems. Finally, there is a cumulative final exam.

There are weekly homework assignments, and for online students one instructional video a week will have a few simple required embedded problems to do. These are called "PlayPosit" videos.

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% (10% each)
  • PlayPosit Quizzes: 5%
  • Homework 25%

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 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 inmust be your own work. Do not directly copy the work of another.

These assignments are due the Monday after the module week they are assigned. As an example, the Week 2 assignment will be due on the Monday of Week 3. However that material is still Week 2 material, and as such you should have done the reading and watched the videos during Week 2, not Monday of Week 3. 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 Monday 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

For online students, 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. Each exam will be open from the Monday through Saturday of the week it is assigned. (This is subject to change.)

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. 

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 Learning Outcomes

By the end of the semester, you should be able to:

  • Find integrals resulting in inverse trigonometric functions.
  • State the definitions of the hyperbolic functions.
  • 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 and the areas of their surfaces of rotation.
  • 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.

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 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.

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 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. 

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 Accessibility & Privacy

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 Technology Assistance

Students encountering any technology problems (lost password, Canvas access, etc.) have several options:

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 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 Monday-Thursday (and usually Friday). (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.

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 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.

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 Fair Use Policy

Copying or recording synchronous classes and asynchronous course materials without the express prior approval of Prof. Horine is prohibited. All copies and recordings remain the property of Indiana University and Prof. Horine. IU and Prof. Horine reserve the right to retrieve, inspect, or destroy the copies and recordings after their intended use. These policies are not intended to affect the rights of students with disabilities under applicable law or IU policies.

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 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 SoutheastLinks to an external site.. 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.

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 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 1/8 -- 1/12  §1.7 - Integrals Involving Inverse Trig Functions
§2.9 - Hyperbolic Functions
§3.1 - Integration by Parts 
2 1/15 -- 1/19
1/15 MLK Day		 [Exam 0]
§3.2 - Trigonometric Integrals
§3.3 - Trigonometric Substitution
3 1/22 -- 1/26 §3.4 - Partial Fractions
Exam 1 Review (through 3.3)
Exam 1
4 1/29 -- 2/2 §3.6 - Numerical Integration
§3.7 - Improper Integrals
§5.1 - Sequences
5 2/5 -- 2/9 §5.2 - Infinite Series
§5.3 - Divergence and Integral Tests
6 2/12 -- 2/16 §5.4 - Comparison Tests
Exam 2 Review (through 5.3)
Exam 2
7 2/19 -- 2/23 §5.5 - Alternating Series
§5.6 - Ratio and Root Tests
§6.1 - Power Series
8 2/26 -- 3/1 §6.2 - Properties of Power Series
§6.3 - Taylor and Maclaurin Series
§6.4 - Working with Taylor Series
9 3/4 -- 3/8 §2.4 - Arc Length of a Curve and Surface Area
Exam 3 Review (through 6.4)
Exam 3
-- 3/11 -- 3/15 Spring Break (no classes)
10 3/18 -- 3/22 §7.1 - Parametric Equations
§7.2 - Calculus of Parametric Curves
§7.3 - Polar Coordinates
11 3/25 -- 3/29 §7.4 - Area and Arc Length in Polar Coordinates
§7.5 - Conic Sections
12 4/1 -- 4/5 Exam 4 Review (through 7.5)
Exam 4
13 4/8 -- 4/12 §2.1 (Calc 3 book) - Vectors in the Plane
§2.2 - Vectors in Three Dimensions
§2.3 - The Dot Product
14 4/15 -- 4/19 §2.4 - The Cross Product
§2.5 - Equations of Lines and Planes in Space
15 4/22 -- 4/26 Exam 5 Review (through 2.5)
Exam 5
Final Exam Review
F 4/29 -- 5/3 Final Exam Week

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Course Summary:

Course Summary
Date Details Due