MATH 2301-102 (8026) and MATH 2301-103 (8027), Fall 2017

Calculus I

Catalog 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.
Desired Learning Outcomes:
Students can use the tools of differential and integral calculus in a variety of applications.
Requisites:
(A or better in MATH 163A) or (B or better in MATH 1350) or (C or better in MATH 1300 or MATH 1322) or (Math placement level 3). See the MATH 2301 Student Handbook for a description of what you should already know.
Instructor:
Martin J. Mohlenkamp, mohlenka@ohio.edu, (740)593-1259, 315-B Morton Hall.
Office hours:
Web page:
http://www.ohiouniversityfaculty.com/mohlenka/2181/2301
Class hours/ location:
Monday, Wednesday, Friday in 115 Morton Hall.
Section 102 is 3:05-4:00pm
Students are also enrolled in one of the recitation sections:
  • MATH 2301-109 (8033) Tuesdays 12:00-12:55pm in 318 Morton
  • MATH 2301-110 (8034) Tuesdays 3:05-4:00pm in 318 Morton
Section 103 is 12:55-1:50pm
Students are also enrolled in one of the recitation sections:
  • MATH 2301-111 (8035) Thursdays 12:00-12:55pm in 318 Morton
  • MATH 2301-112 (8036) Thursdays 3:05-4:00pm in 318 Morton
All recitations are led by Qing Liu, who also has office hours Wednesday and Friday 9-10am in Morton 532G.
Text:
James Stewart. Essential Calculus: Early Transcendentals. Edition: 2nd. Publisher: Cengage. 2013. Options: Warning: If you buy or rent the book another way, make sure it comes with a valid, unused WebAssign access code; if not then you will have to buy an access code separately.
Text Homework/ Practice:
From each section of the book, several homework problems are listed. The problems in the text are not collected or graded, but doing them is the foundation for your learning. They are also the basis for the common final exam.
Online Homework/ Practice:
We will use WebAssign for online homework. To access it, log in to Blackboard, select this class, then click the "Access WebAssign" link on the left. The system includes a linked online version of the text, video tutorials, and other materials. You can use WebAssign free for the first 14 days of the semester. The online homework problems are a subset of the text homework problems, with some numbers changed randomly and some problems converted to multiple-choice. Because of this, you still need to do the text problems. I recommend you work the online problems out on paper (and save this work) before entering them.
Recitations:
Once a week you will meet in a group of at most 30 for recitation. In 13 out of 15 weeks there will be a graded activity during recitation. Your best 10 (out of 13) scores count toward your grade. Typically, you will work in a group of 3-4 students on problems in a handout and submit a group solution at the end of the recitation.
Tests:
There will be a test every second Monday. Your best 5 (out of 7) 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; see the "Material to know before starting MATH 2301" section of the MATH 2301 Student Handbook.
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 every few weeks) 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.)
Final Exam:
The final exam is on Wednesday December 13 at 2:30pm in a room to be announced. 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.
Grade:
Your grade is based on online homework at 5%, your best 10 (out of 13) recitation scores at 2% each, your best 5 (out of 7) tests at 10% each, and the final exam at 25%. An average of 90% guarantees you at least an A-, 80% a B-, 70% a C-, and 60% a D-.
Missed work:
Attendance:
I do not count attendance in your grade, since absences will automatically penalize you through your loss of learning.
Electronic Devices:
Computers, tablets, smartphones, and calculators are permitted in class for learning purposes (consulting the online text, producing graphs, etc.). Other uses, especially any that distract your classmates, are prohibited.
Academic Misconduct:
Online Homework:
The online homework must be done by you, but you may use any help that you can find. Keep in mind that the purpose of the homework is to develop your ability to do such problems on your own.
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.)
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 one of the confidential resources listed by the Office of Equity and Civil Rights Compliance.
Learning Resources:
People:
  • Your classmates.
  • Your recitation leader.
  • Your instructor.
Ohio University Resources:
Written Material:
Videos:
(Use sparingly. Over-reliance on videos will retard the development of your reading comprehension ability.)
Software:
Historical:
My MATH 2301 classes Fall 2015 and Fall 2016.
How to be unsuccessful at Calculus:
Historically, about 40% of Calculus I students are unsuccessful, meaning they earn a grade below C or withdraw from the class. The behaviors listed below contribute to being unsuccessful, and so are discouraged.

Schedule

Subject to change. Some links, such as test solutions, will become active after we pass that date. The Text Homework problems are listed on the day we cover a topic, so you will generally do them after that date. The WebAssign column shows the day that section of problems is due. The Alt-Text column has links to alternative textbooks with additional examples etc.; they will not exactly match what we cover. The sage column links to an online resource we will sometimes use.

Week Date Section/Topic Text Homework WebAssign Alt-Text sage
1
Mon Aug 28 Introduction; Blackboard, WebAssign, OHIO Calculus Resources Active APEX OpenStax sage
Wed Aug 30 Pre-Calculus warm up Introduction OpenStax 1
Chapter 1: Functions and limits
Fri Sep 1 1.3 The Limit of a Function 1-9 odd, 27 Prerequisites Active 1.2 APEX 1.1-2 OpenStax 2.2 sage
Recitationgroupwork
2
Mon Sep 4 Labor day holiday, no class
Wed Sep 6 1.4 Calculating Limits 1-41 odd, 49-55 odd 1.3 Active 1.2 APEX 1.3-4 OpenStax 2.3 sage
Fri Sep 8 (drop deadline) 1.5 Continuity 1-23 odd, 29, 30, 32, 37, 39, 41, 45 1.4 Active 1.7 APEX 1.5 OpenStax 2.4
Recitationgroupwork
3
Mon Sep 11 Test through 1.4 (including Pre-Calculus): sample questions, test solutions 102 and 103
Wed Sep 13 1.6 Limits involving infinity 1-6, 13-31 odd, 41, 42, 45, 49 1.5 APEX 1.6 OpenStax 4.6 sage
Chapter 2: Derivatives
Fri Sep 15 2.1 Derivatives and Rates of Change 1-11 odd, 15-18, 37, 39, 43, 45 1.6 Active 1.3 APEX 2.1 OpenStax 3.4 sage
Recitationgroupwork
4
Mon Sep 18 2.2 The Derivative as a Function 1-15 odd, 19-27 odd, 33-36, 39, 41 2.1 Active 1.4 APEX 2.2 OpenStax 3.2 sage
Wed Sep 20 2.3 Basic Differentiation Formulas 1-27 odd, 28, 29-37 odd, 43-57 odd 2.2 Active 2.1 APEX 2.3 OpenStax 3.3 sage
Fri Sep 22 2.4 The Product and Quotient Rules 3-29 odd, 51, 53, 55 2.3 Active 2.3 APEX 2.4 OpenStax 3.3 sage
Recitationgroupwork
5
Mon Sep 25 Test through 2.3: sample questions; test solutions 102 and 103
Wed Sep 27 2.5 The Chain Rule 1-35 odd, 43, 47, 51, 53, 57, 62, 65, 67 2.4 Active 2.5 APEX 2.5 OpenStax 3.6 sage
Fri Sep 29 2.6 Implicit Differentiation 1-23 odd, 32, 43 2.5 Active 2.7 APEX 2.6 OpenStax 3.8 sage
Recitationgroupwork
6
Mon Oct 2 2.7 Related Rates 1, 2, 3-17 odd, 21-33 odd, 37 2.6 Active 3.5 APEX 4.2 OpenStax 4.1
Wed Oct 4 2.8 Linear Approximations and Differentials 1, 3, 5, 11, 12, 13- 23 odd, 24, 25, 27 2.7 Active 1.8 APEX 4.4 OpenStax 4.2
Chapter 3: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
Fri Oct 6 3.2 Inverse Functions and Logarithms 1-25 odd, 31-39 odd, 47-53 odd 2.8 Active 2.6 APEX 2.7 OpenStax 3.7
Recitationgroupwork
7
Mon Oct 9 Test through 2.8: sample questions; test solutions 102 and 103
Wed Oct 11 3.3 Derivatives of Logarithmic and Exponential Functions 1-37 odd, 41-47 odd, 51- 63 odd 3.2 Active 2.6 APEX 2.7 OpenStax 3.9 sage
Fri Oct 13 3.5 Inverse Trigonometric Functions; Wikipedia trig, inv 1-13 odd, 17-27 odd, 34, 35, 37, 39, 40 3.3 Active 2.6 APEX 2.7 OpenStax 3.7
RecitationTuesday recitations are cancelled due to Reading Day. Thursday recitations are optional and open to all.
8
Mon Oct 16 3.6 Hyperbolic Functions (sinh, cosh and their derivatives only) 1, 3, 9, 27, 28, 29, 31, 34, 35, 47 3.5 APEX(2) 6.6 OpenStax 6.9
Wed Oct 18 3.7 Indeterminate Forms and L'Hospital's Rule (through products) 1, 5, 9, 13, 17, 21, 25, 41, 43 3.6 Active 2.8 APEX(2) 6.7 OpenStax 4.8
Chapter 4: Applications of Differentiation
Fri Oct 20 4.1 Maximum and Minimum Values 7-49 odd 3.7 Active 3.1 APEX 3.1 OpenStax 4.3
Recitationgroupwork
9
Mon Oct 23 Test through 3.7: sample questions; test solutions 102 and 103
Wed Oct 25 4.2 The Mean Value Theorem 1-17 odd, 23, 25 4.1 APEX 3.2 OpenStax 4.4
Fri Oct 27 4.3 Derivatives and the Shape of a Graph 1-11 odd, 10, 15-29 odd, 33, 35, 40, 41 4.2 Active 1.6 APEX 3.3-4 OpenStax 4.5
Recitationgroupwork
10
Mon Oct 30 4.4 Curve Sketching 5-17 odd, 21, 27, 31, 33, 37, 39, 41, 45, 47 4.3 Active 3.2 APEX 3.5 OpenStax 4.6 sage
Wed Nov 1 More 4.4
Fri Nov 3 (drop deadline with WP/WF) 4.5 Optimization Problems 5-17 odd, 16, 21, 25, 27, 29, 33, 36, 43, 45, 47, 54, 56, 58 4.4 Active 3.4 APEX 4.3 OpenStax 4.7
Recitationgroupwork
11
Mon Nov 6 Test through 4.4: sample questions; test solutions 102 and 103
Wed Nov 8 4.6 Newton's Method 1, 3, 5, 6, 7, 8, 9, 11, 12, 17, 21, 23 4.5 APEX 4.1 OpenStax 4.9 sage
Fri Nov 10 Veterans day (observed) holiday, no class
Recitationgroupwork
12
Mon Nov 13 4.7 Antiderivatives 1-13 odd, 17-31 odd, 39, 41, 43, 46, 47, 51, 53, 54 4.6 Active 4.1 APEX 5.1 OpenStax 4.10 sage
Chapter 5: Integrals
Wed Nov 15 5.1 Areas and Distances 1-15 odd, 19, 21(a) 4.7 Active 4.1 OpenStax 5.1 sage
Fri Nov 17 5.2 The Definite Integral 1-17 odd, 25, 29, 31, 33, 35, 41 5.1 Active 4.2 APEX 5.2-3 OpenStax 5.2 sage
Recitationgroupwork
13
Mon Nov 20 Test through 5.1: sample questions; test solutions 102 and 103
Wed Nov 22 Thanksgiving holiday, no class
Fri Nov 24 Thanksgiving holiday, no class
RecitationThursday recitations are cancelled due to Thanksgiving. Tuesday recitations are optional and open to all.
14
Mon Nov 27 5.3 Evaluating Definite integrals 1-25 odd, 31, 33, 39, 43-49 odd, 53, 55, 59-67 odd 5.2 Active 4.4 APEX 5.4 OpenStax 5.3-4
Wed Nov 29 5.4 Fundamental Theorem of Calculus 1-11 odd, 15, 17, 19 5.3 Active 5.2 APEX 5.4 OpenStax 5.3-4
Fri Dec 1 5.5 The Substitution Rule 1-21 odd, 22, 23, 27, 29, 30, 34, 37, 41, 43, 49, 50, 53, 61 5.4 Active 5.3 APEX 6.1 OpenStax 5.5
Recitationgroupwork
15
Mon Dec 4 Test through 5.4: sample questions; test solutions 102 and 103
Wed Dec 6 Recap/ Review/ Exam preparation 5.5
Fri Dec 8 Recap/ Review/ Exam preparation
Recitationgroupwork
16
Wed Dec 13 Final Exam 2:30-4:30pm in a room to be announced. old final exams; how the final exam is made; results

Martin J. Mohlenkamp

Last modified: Mon Oct 2 15:40:37 UTC 2017