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MATH 2205: Calculus II
Instructor Information
Instructor: Michael Gundlach
Office: Science and Mathematics building, SM 126
Office Hours: M-F 10-11 am
M-F 2-3 pm
Email: michael.gundlach@nwc.edu
Phone Number: 307-754-6064
Please don’t hesitate to contact me or visit my office if you have concerns or questions
about this course.
Course Information
Course Number: MATH 2205
Title: Calculus II
Semester: Spring 2020
Credit Hours: 5
Class Time: M-F 8:00-8:50 AM
Location: Science and Mathematics building, SM 105
Course Description: Covers the calculus of transcendental functions, techniques of
integration, and isolated topics which may include infinite series, analytic geometry,
indeterminate forms, and polar coordinates. The second semester of a three-semester
course.
Prerequisite: A grade of "C-" or better in MATH 2200 or equivalent.
Required Textbook: Calculus Volume 2 from OpenStax, Print
ISBN 1938168062, Digital ISBN 194717214X,
www.openstax.org/details/calculus-volume-2
Good news: your textbook for this class is available for free online,
in web view and PDF format! You can also purchase a print
version, if you prefer, from OpenStax on Amazon.com.
If you buy on Amazon, make sure you use the link on your book page on openstax.org so
you get the official OpenStax print version. (Simple printouts sold by third parties on
Amazon are not verifiable and not as high-quality.)
Required Technology: You will need regular access to a computer with internet access.
Our homework will be accessed via an online homework system called MyOpenMath.com.
This is a free homework system. To access the system, simply click on the links provided
in Moodle.
Please contact me if you have issues accessing the system.
Recommended Technology: I would recommend purchasing a TI-83 or TI-84 for this
class. You will be allowed a calculator on most tests, and a TI-83 or TI-84 would be the most
valuable option.
Student Learning Outcomes
Upon successful completion of this course, students will have demonstrated the ability to:
1. Compute integrals and use them in applications.
a. For this course, the focus is on special techniques of integration. Students will
also identify, classify, and evaluate improper integrals.
2. Use series to represent functions. Students will also identify whether a
sequence/series converges or diverges.
3. Describe graphs given by parametric and polar equations with the use of derivatives
and use integrals in applications.
Instructional Methods
I personally believe that one learns mathematics by truly doing mathematics. Thus, come to
class prepared to do math in class. You will be working on tasks and problems with your
fellow students, and occasionally presenting your work to the class. Therefore, come
prepared to work with your fellow classmates to learn mathematics.
Course material will be presented in-class with some (rare) online supplements.
Expected Student Behavior
This will be a very interactive class. Thus, there is an expectation of respect for the ideas
and opinions of others. Also, there is an expectation of participation. You are expected to
participate by actively engaging with course material during class time. This engagement
can take the form of sharing opinions, listening to the opinions of others, and respectfully
disagreeing when necessary.
You are expected to come to class prepared to participate. That means being on time and
bringing needed materials to class. Failing to come to class prepared and on time will affect
your grade.
This class is a 5-credit hour class. Because of that, you can expect to spend 10-15 hours
outside of class each week working on material for this class. I will do my best to make
sure the homework is more than just busy work. In return, I expect you to put your best
effort into completing the homework in a timely and honest manner.
One of the best things you can do to increase your probability of success in this class is to
form a study group. Find at least two or three other students in the class with whom to
work on homework and study for tests. Occasionally you will be assigned to work with
particular classmates on projects. When working with classmates, make sure that your
work on individual assignments is your own original work. Cheating will not be tolerated.
Please do not use tobacco products in my class. Food is allowed as long as it does not create
a distraction.
Out-of-Class Assistance
As noted above, I have eight hours of office hours each week. If you need help with a
particular assignment, and you cannot come in to my office hours, please contact me and
set up a time to meet.
There is also tutoring available for our class at the tutoring center. To get more information
about tutoring, either visit the tutoring center in the upper level of the library, call
(307)754-6052, or come visit with me.
You can also access online tutoring through Moodle. On the main page for our course, click
on the NetTutor icon and follow the onscreen directions.
Course Policies
Grading Policies
There will be six unit exams, and a comprehensive final exam. There will also be other
assignments that may include problem sets, quizzes, graded activities, or projects. In-class
participation will also impact your grade. Grades are weighted as noted below.
• 6 unit exams ....................................................................................................................................... 50%
• Integral Mastery Test ...................................................................................................................... 10%
• Final exam ........................................................................................................................................... 20%
• Participation ......................................................................................................................................... 5%
• Other assignments .......................................................................................................................... 15%
In this class, other assignments include homework, quizzes, and other in-class activities.
You can expect to turn in work at least once a week. Homework is due at 8 pm on the due
date. Late homework generally will not be accepted. In-class activities will not be
announced in advance and there will be no make-ups. If you feel you need an extension on a
homework assignment, please let me know promptly, preferably at least 24 hours before it
is due. I am willing to grant extensions for reasonable requests.
Your participation grade will be based on my assessment of how well you participate in
class. Some of this assessment will be in the form of in-class assignments and projects. Most
in-class activities will consist of class activities taken from your textbook which may or may
not need to be turned in. Some of your participation grade will also come from my informal
observations of what you do in class. If you are frequently not paying attention, not
engaging in class materials, doing homework in class, or frequently disrupting the class,
your participation grade will be affected.
Attendance will contribute to your participation grade. Each day, you can receive a
maximum of 2 points for attendance. If you are in class and on time, you will get the full 2
points. If you are tardy, you will get 1 point. Unexcused absences will result in getting 0
points for the day you are absent. If your absence is excused, you will get the full 2 points.
Integral Mastery Test
The integral mastery test is given to test for proficiency of basic mechanical skills of
differentiation. The test is pass/fail and you must score an 80% or better on the test to pass.
Everyone who passes receives the full 100% of the course points for this assignment
and all who fail to pass receive zero points. You will have a maximum of 4 attempts to
pass the test. The first attempt will be given during a class period. Any attempts beyond the
first will take place outside of class time during office hours.
Final Grades
Final grades will be assessed as follows:
93-100% A 73-76% C
90-92% A- 70-72% C-
87-89% B+ 67-69% D+
83-86% B 63-66% D
80-82% B 60-62% D-
77-79% C+ Below 60% F
Please do not come to me after the final exam asking to raise your grade. Unless there has
been some sort of grading error, I will not raise your grade. There is no extra credit
available. The time to get your grade to a passing level is during the semester, not after.
Units and Chapters
In this class, we will cover the following units.
Unit Sections Covered
Unit 1: Integration and Some Applications 1.5-1.7, 2.1-2.4
Unit 2: Applications of Integration and 2.5, 2.6, 3.1-3.3
Techniques of Integration
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