• This web page describes an activity within the Department of Mathematics at Ohio University, but is not an official university web page.
• If you have difficulty accessing these materials due to visual impairment, please email me at mohlenka@ohio.edu; an alternative format may be available.

MATH 2301 Calculus I section 100 (6920), Spring 2021-22

Catalog Entry (2021-22)

Description:
First course in calculus and analytic geometry with applications in the sciences and engineering. Includes basic techniques of differentiation and integration with applications including rates of change, optimization problems, and curve sketching; includes exponential, logarithmic and trigonometric functions. No credit for both MATH 2301 and 1350 (always keep 2301).
Requisites:
(A in 163A) or (B or better in MATH 1350) or (C or better in 1300 or 1322) or (Math placement level 3)
Credit Hours:
4
OHIO BRICKS
Arch: Constructed World
General Education Code (students who entered prior to Fall 2021-22):
2AS
Repeat/Retake Information:
May be retaken two times excluding withdrawals, but only last course taken counts.
Lecture/Lab Hours:
3.0 lecture; 1.0 recitation
Course Transferability:
OTM course: TMM005 Calculus I, OTM course: TMM017 Calculus I & II Sequence
College Credit Plus:
Level 1
Learning Outcomes:
• Students can use the tools of differential and integral calculus in a variety of applications.

Syllabus

Instructor:
Martin J. Mohlenkamp, mohlenka@ohio.edu, Morton Hall 321C. I am not scheduling office hours, but I am easy to reach by email or Microsoft Teams. Do not hesitate to contact me with questions or to make an appointment.
Web page:
http://www.ohiouniversityfaculty.com/mohlenka/2225/2301/.
Teams team:
We have a class Teams team for posting questions and (if needed) joining class online.
Text:
APEX Calculus by Gregory Hartman, with other contributors.
• website
• Recommended: html version: Free. Works well on phones, tablets, and computers. Has some interactive content and auto-corrected exercises. 5th edition.
• pdf version: Free. Useful if you want to print portions, make notes in the text on a tablet, or work offline. Note: The pdf is the 4th edition, whereas the html above is the 5th edition. Either is fine to learn from, but I will be using the html version.
• Not recommended: printed version
Lecture Component:
• Monday, Wednesday, Friday 8:35-9:30am in Porter Hall 103.
• Attendance is recommended but not required. I will run a Teams meeting during class for those not able to attend in person. Attending by Teams is better than not attending, but is definitely worse than attending in person.
Recitation Component:
You are also enrolled in one of the recitation sections:
• MATH 2301-101 (6921) Tuesdays 7:30-8:50am in Gordy Hall 110.
• MATH 2301-102 (6922) Tuesdays 9:00-10:20am in Ellis Hall 114.
• MATH 2301-103 (6923) Tuesdays 12:00-1:20pm in Ellis Hall 014.
• MATH 2301-104 (6924) Tuesdays 1:30-2:50pm in Ellis Hall 014
All recitations are led by Kebba Lowe.

On weeks of tests, the recitation will consist of test review and open time for questions. In the remaining 10 weeks, recitations will typically consist of:

• Open time for questions.

To allow flexibility for quarantines, etc., the group-work problems will be posted in advance and you can submit your solutions in any of the following ways:

• On paper, in a group of up to 4:
• in the Wednesday lecture, with a 10% penalty.
• In BlackBoard, individually:
• by noon on the recitation day or
• later, with a 10% per day late penalty.

Tests:
There will be 4 mid-term tests. Your best 3 scores count toward your grade. Calculators are not permitted. Bring your student ID to the tests. The tests are cumulative. They can include Pre-Calculus questions.

Why all these tests?
The purpose of the tests is not to assess your mastery in order to assign you a grade; a final exam would be enough for that. Instead, the purpose is to help you learn through what Psychologists have determined to be effective learning techniques.
Practice Testing:
(Rated "high" utility.) Recalling information and practicing skills in a test environment convinces your brain that they are important and should be saved in your long-term memory.
Distributed Practice:
(Rated "high" utility.) Learning/ studying in smaller amounts distributed over time (rather than cramming) also convinces your brain to use your long-term memory.
Interleaved Practice:
(Rated "moderate" utility.) Mixing up the problem types (e.g. by having cumulative tests) makes you learn how to distinguish which technique to use and also convinces your brain to use your long-term memory.
(FYI: Elaborative interrogation and self-explanation were rated "moderate" utility. Summarization, highlighting, keyword mnemonics, imagery use for text learning, and rereading were rated "low" utility.)
Missed tests:
Tests missed due to university excused absences for illness, death in the immediate family, religious observance, jury duty, or involvement in University-sponsored activities can be made up if
• you let me know in advance and I approve the absence, and
• you are able to take the test by the following Monday.
Otherwise, the first missed test is automatically dropped since only your best 3 out of 4 count in your grade. A second missed test will be replaced by your final exam score. Further missed tests count as 0.

Final Exam:
The final exam is on Wednesday April 27, 4:40-6:40pm in Morton Hall 235. This is a combined exam with other sections of MATH 2301. Calculators are not permitted. Bring your student ID to the exam. Note: Please check the final exam schedule for your other classes and notify me as soon as possible if there is a conflict with our exam.
Text exercises:
Exercises are recommended for each section of the text. These are not collected or graded, but doing them is the foundation for your learning. In the html text, many of them will check your answer. Solutions for the odd numbered exercises are available.
Your final average is composed of
• 25% for your best 8 (out of 10) recitation scores,
• 45% for your best 3 (out of 4) tests, and
• 30% for the final exam.
An average of 90% guarantees you at least an A-, 80% a B-, 70% a C-, and 60% a D-.
Recitation Groupwork:
• You may use your book, Wikipedia, other Calculus books, general websites about Calculus, etc. without special acknowledgment.
• If your group receives any help specifically on the problem you are trying to solve (such as assistance from another group or software that solves the problem), you must acknowledge in writing what help you received and from whom or what source (including internet links). (You do not need to acknowledge your recitation leader.) The same requirements apply if you are submitting the groupwork alone.
A minor, first-time violation will receive a warning and discussion and clarification of the rules.
Tests, final exam:
You may not give or receive any assistance during a test or the exam, including but not limited to using notes, phones, calculators, computers, or another student's solutions. (You may ask me questions.) A minor, first-time violation will result in a zero grade on that test.
Serious or second violations will result in failure in the class and be reported to the Office of Community Standards and Student Responsibility, which may impose additional sanctions. You may appeal any sanctions through the grade appeal process.
Special Needs:
If you have specific physical, psychiatric, or learning disabilities and require accommodations, please let me know as soon as possible so that your learning needs may be appropriately met. You should also register with Student Accessibility Services to obtain written documentation and to learn about the resources they have available.
Responsible Employee Reporting Obligation:
If I learn of any instances of sexual harassment, sexual violence, and/or other forms of prohibited discrimination, I am required to report them. If you wish to share such information in confidence, then use the Office of Equity and Civil Rights Compliance.
Safety:
Follow the university pandemic safety rules.
Historically, too many Calculus I students are unsuccessful, meaning they earn a grade below C or withdraw from the class. Here are some behaviors that contribute to being successful or unsuccessful.
How to be successful at CalculusHow to be unsuccessful at Calculus
Have a growth mindset: believe that through effort you can improve your mathematical skills. Have a fixed mindset: believe that your mathematical skills are set, so effort is either unneccessary or futile.
Show up and do the work.Skip stuff. Start with an occasional class, then a recitation, then some homework, ...
Figure out the solutions to activities and exercises. Find the solutions to activities and exercises by copying from classmates, looking at posted answers, searching the internet, etc.
Be active in class: think, write, talk, do, ...Be passive (or distracted) in class, waiting for learning to somehow happen.
Read the book. Carefully. Multiple times. Don't read the book. Make excuses like "It is too confusing.", "I learn better from videos.", or "The instructor should tell me everything I need to know in class."
Do the exercises in the text. Ignore the exercises in the text. Convince yourself that since it is not collected it must not be important.
Strive for mastery. Mastery is when you can solve the problem confidently by yourself. Settle for familiarity rather than mastery. Familiarity is when you recognize a problem and can follow along when someone else, a video, or the book solves it.
Sparingly use videos like Just Math Tutorials or Khan Academy. When you do, pay attention and work along with the video.Use videos a lot and as a replacement for reading. Let them play in the background while you do something else.
Make sure all members of your group (including yourself) understand the recitation groupwork before submitting it.Do the recitation groupwork by splitting up the problems and working on them separately. That way you only have to learn a fourth of it.
Use learning resources:
People:
Ohio University Resources:
• OHIO Calculus webpage. (Note that some information there is specific to the Stewart textbook, not ours.)
• OHIO Pre-Calculus webpage, which includes a free Pre-Calculus Book.
• Tutoring: Tutoring is not a sign of weakness; it is a sign that you want to learn! Get help early and often. See the Math Tutoring Lab for information on scheduling free Math tutoring.
• Supplemental Instruction (SI), which for MATH 2301 will occur Thursdays and Sundays 4-5pm.
Software:
The sage cell lets you do math on the web.
There are some preloaded Calculus cells.
Invent and use false rules like
• $$\frac{a+b}{a+c}=\frac{\not a+b}{\not a+c}=\frac{b}{c}$$
• $$\frac{a+b}{a}=\frac{\not a+b}{\not a}=b$$
• $$\frac{a}{ab}=\frac{\not a}{\not a b}=b$$
• $$\frac{a+b}{c+d}=\frac{a}{c}+\frac{b}{d}$$
• $$\frac{\frac{a}{b}}{a}=\frac{\frac{\not a}{b}}{\not a}=b$$
• $$\frac{h^{-1}}{h}=\frac{\not h^{-1}}{\not h}=1^{-1}$$
• $$\frac{1}{x^2}=x^{1/2}$$
• $$\frac{1}{x+h}- \frac{1}{x}=\frac{1}{\not x+h}- \frac{1}{\not x}=\frac{1}{h}$$
• $$\frac{x+h^2}{h} = \frac{x+h^{\not 2}}{\not h} = x+h$$
• $$(x+h)^{-1}-x^{-1}=\frac{1}{(x+h)-x}$$
• $$x+x^{-1}=0$$
• $$\frac{\sin(x^3)}{\sin(x^2)}=\frac{\not\sin(x^3)}{\not\sin(x^2)}=\frac{x^3}{x^2}=x$$
• $$\frac{\sin(7x)}{\sin(3x)}=\sin(4x)$$
• $$\sin(x+y)=\sin(x)+\sin(y)$$
• $$\sqrt{x^2+y^2}=\sqrt{x^2}+\sqrt{y^2}=x+y$$
• $$f(x)=x^{-1}\;\Rightarrow\;f(x+h)=x^{-1}+h$$
• $$f(a+h)-f(a)=f(\not a+h)-f(\not a)=f(h)$$
• $$f(a+h)-f(a)=f(a)+f(h)-f(a)=f(h)$$
• $$\tan(7\theta)=7\tan(\theta)$$
• $$\sin\left(\frac{1}{x}\right)=\frac{\sin(1)}{x}$$
When you are struggling, get help.When you are struggling, hide.

Schedule (Subject to change)

Week Date Section/Topic Text Homework (html #s) Information/Resources
1
Mon Jan 10 Introduction
Tues Jan 11Recitation groupwork
Chapter 1 Limits
Wed Jan 12 1.1 An Introduction To Limits 2, 3, 4, 7-15odd, 21, 23, 27 sage
Fri Jan 14 1.2 Epsilon-Delta Definition of a Limit 1-5, 7, 11, 13 sage
2
Mon Jan 17 Martin Luther King, Jr. Day holiday, no class
Tues Jan 18 Recitation groupwork
Wed Jan 19 1.3 Finding Limits Analytically 1, 2, 4, 5, 7-18, 19-33odd, 35-38, 39, 43 sage
Fri Jan 21 1.4 One-Sided Limits 1-12, 13-21odd (drop deadline) sage
3
Mon Jan 24 1.5 Continuity 1-22, 23-38odd
Tues Jan 25 Recitation: Test preparation test guide
Wed Jan 26 Test on Pre-Calculus through 1.4 (solutions)
Fri Jan 28 1.6 Limits Involving Infinity 1-14, 19-28 sage
4
Chapter 2 Derivatives
Mon Jan 31 2.1 Instantaneous Rates of Change: The Derivative 1-22, 27-36 sage
Tues Feb 1Recitation groupwork
Wed Feb 2 2.2 Interpretations of the Derivative 1-18 sage
Fri Feb 4 2.3 Basic Differentiation Rules 1-38
5
Mon Feb 7 2.4 The Product and Quotient Rules 1-14, 15-47odd
Tues Feb 8 Recitation groupwork
Wed Feb 9 2.5 The Chain Rule 1-6, 7-39odd, 41, 42 sage
Fri Feb 11
6
Mon Feb 14 2.6 Implicit Differentiation 1-4, 5-25odd, 26, 27-41odd sage
Tues Feb 15 Recitation: Test preparation test guide
Wed Feb 16 Test through 2.5 (solutions)
Fri Feb 18 2.7 Derivatives of Inverse Functions 1-4, 5-29odd
7
Chapter 3 The Graphical Behavior of Functions
Mon Feb 21 3.1 Extreme Values 1-6, 7-25odd
Tues Feb 22Recitation groupwork
Wed Feb 23 3.2 The Mean Value Theorem 1, 2, 3-20odd
Fri Feb 25 3.3 Increasing and Decreasing Functions 1-6, 7-23odd
8
Mon Feb 28 3.4 Concavity and the Second Derivative 1-4, 5-56odd
Tues Mar 1 Recitation groupwork
Wed Mar 2 3.5 Curve Sketching 1-5, 6-25odd, 26-28 sage
Fri Mar 4 Bonus test (solutions)
Spring Break
9
Chapter 4 Applications of the Derivative
Mon Mar 14 4.1 Newton's Method 3, 5, 7, 17 sage
Tues Mar 15 Recitation: Test preparation test guide
Wed Mar 16 Test through 3.5 (solutions)
Fri Mar 18 4.2 Related Rates 3-15odd
10
Mon Mar 21 4.3 Optimization 8, 9, 11, 12, 13, 15, 18
Tues Mar 22Recitation groupwork
Wed Mar 23 More optimization
Fri Mar 25 4.4 Differentials 1-6, 7-13odd, 17-39odd (drop deadline with WP/WF)
11
Chapter 5 Integration
Mon Mar 28 5.1 Antiderivatives and Indefinite Integration 9-27odd, 28, 29, 31-39odd sage
Tues Mar 29 Recitation groupwork
Wed Mar 30 5.2 The Definite Integral 5-17odd, 19-22
Fri Apr 1 5.3 Riemann Sums 17-39odd
12
Mon Apr 4 finish 5.3
Tues Apr 5 Recitation: Test preparation test guide
Wed Apr 6 Test through 5.3 (solutions)
Fri Apr 8 5.4 The Fundamental Theorem of Calculus 5-29odd, 35-57odd sage
13
Mon Apr 11 5.5 Numerical Integration 5-11 odd
Tues Apr 12Recitation groupwork
Chapter 6 Techniques of Antidifferentiation
Wed Apr 13 6.1 Substitution 3-85odd
Fri Apr 15 more 6.1
14
Mon Apr 18 finish 6.1
Tues Apr 19 Recitation groupwork
Wed Apr 20 Recap/ Review/ Exam preparation
Fri Apr 22 Recap/ Review/ Exam preparation Fall 2021-22 final exam
15
Wed Apr 27 Final Exam 4:40-6:40pm in Morton Hall 235.

Martin J. Mohlenkamp