MATH 2301-100 (4079), Fall 2015

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: Monday 9:40-10:35am, Wednesday 9:40-10:35am, and Friday 9:40-10:35am, or by appointment.
Web page:
http://www.ohiouniversityfaculty.com/mohlenka/20161/2301.
Class hours/ location:
Monday, Wednesday, Friday 10:45-11:40am in 115 Morton Hall. Students are also enrolled in one of the recitation sections: which are led by Prabha Shrestha, who also has office hours Tuesdays 11:30am-12:30pm and Thursdays 12:30-1:30pm in Morton 423 desk H.
Text:
James Stewart. Essential Calculus: Early Transcendentals. Edition: 2nd. Publisher: Cengage. 2013. Options: If you elect for the online book, I recommend you also have some printed Calculus book to consult, such as the one from APEX Calculus.
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, which you access through your Blackboard account. The system includes a linked online version of the text, video tutorials, and other materials. 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.
Recitation Groupwork:
Most weeks there will be a graded group work activity during the recitation. You will work in a group of 3-4 students and submit a group solution at the end of the recitation. Your best 10 (out of about 14) scores count toward your grade.
Tests:
There will be a test every second Friday. 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 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 Thursday, December 10, at 4:40 pm in a room to be announced Morton 122. This is a combined exam with other sections of MATH 2301. Calculators are not permitted. Bring your student ID to the exam. Note: If you are taking CHEM 1510, which has its exam scheduled at the same time, then you will take the MATH 2301 exam 7-9pm in Morton 127 Morton 122.
Grade:
Your grade is based on online homework at 5%, your best 10 (out of about 14) recitation groupworks 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:
You can get an automatic 2-day extension on any WebAssign homework with a 30% penalty on any points you earn due to the extension; this extension cannot go more than 7 days past the original due date. Missed groupworks and tests cannot ordinarily be made up since enough are dropped to account for an ordinary amount of absences, including university excused absences for illness, death in the immediate family, religious observance, jury duty, or involvement in University-sponsored activities, (If you will miss more than the number dropped due to an extraordinary reason such as an extended illness, please consult with me.)
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.
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:

Schedule

Subject to change. Tuesday meetings are recitations and will often start on the topic listed for Wednesday.

Week Date Section/Topic Text Homework WebAssign Other
1
Mon Aug 24 Introduction Blackboard; sage tool; alt-book
Tue Aug 25 Recitation Groupwork
Wed Aug 26 Pre-Calculus Introduction
Fri Aug 28 Test on Pre-Calculus (results, solution) Prerequisites MATH 2301 Handbook
2
Chapter 1: Functions and limits
Mon Aug 31 1.3 The Limit of a Function 2, 3, 5, 8, 12, 21 sage; alt-book 1.1-2
Tue Sep 1 Recitation Groupwork
Wed Sep 2 1.4 Calculating Limits 2, 3, 10, 12, 15, 17-23, 28-33, 35, 42, 43, 45, 47 1.3 sage; alt-book 1.3-4
Fri Sep 4 1.5 Continuity 3, 4, 6, 13-16, 29, 30, 32, 37, 39, 41, 45 1.4 alt-book 1.5 (drop deadline)
3
Mon Sep 7 Labor day holiday, no class
Tue Sep 8 Recitation Groupwork
Wed Sep 9 1.6 Limits involving infinity 1-6, 13-31 odd, 41, 42 1.5 sage; alt-book 1.6
Fri Sep 11 Test through 1.5 (results, solutions) samples
4
Chapter 2: Derivatives
Mon Sep 14 2.1 Derivatives and Rates of Change 1, 4, 5-11 odd, 15-18, 23, 25, 27, 43 1.6 sage; alt-book 2.1
Tue Sep 15 Recitation Groupwork
Wed Sep 16 2.2 The Derivative as a Function 1-13 odd, 17-22, 35, 36 2.1 sage; alt-book 2.2
Fri Sep 18 2.3 Basic Differentiation Formulas 1-35 odd, 43, 45, 47, 49, 51 2.2 sage; alt-book 2.3
5
Mon Sep 21 2.4 The Product and Quotient Rules 3-29 odd, 51, 55 2.3 sage; alt-book 2.4
Tue Sep 22 Recitation Groupwork
Wed Sep 23 2.5 The Chain Rule 1-35 odd, 39, 47, 51, 53, 57, 62 2.4 sage; alt-book 2.5
Fri Sep 25 Test through 2.4 (results, solutions) samples
6
Mon Sep 28 2.6 Implicit Differentiation 1-17 odd, 21, 25, 32 2.5 sage; alt-book 2.6
Tue Sep 29 Recitation Groupwork
Wed Sep 30 2.7 Related Rates 1, 2, 3-17 odd, 25, 29 2.6 alt-book 4.2
Fri Oct 2 Reading day holiday, no class
7
Mon Oct 5 2.8 Linear Approximations and Differentials 1, 5, 11, 12, 15, 17, 19, 20, 21, 23, 24 2.7 alt-book 4.4
Chapter 3: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
Tue Oct 6 Recitation Groupwork
Wed Oct 7 3.2 Inverse Functions and Logarithms 1-25 odd, 18, 29-39 odd, 44, 46, 48, 63 2.8 alt-book 2.7
Fri Oct 9 Test through 2.8 (results, solutions) samples
8
Mon Oct 12 3.3 Derivatives of Logarithmic and Exponential Functions 1-21 odd, 25-49 odd, 65 3.2 sage; alt-book 2.7
Tue Oct 13 Recitation Groupwork
Wed Oct 14 3.5 Inverse Trigonometric Functions 1-9 odd, 13, 17-25 odd, 34, 35, 37, 39 3.3 Wikipedia trig, inv; alt-book 2.7
Fri Oct 16 3.6 Hyperbolic Functions (skip inverse hyperbolic functions) 1-6, 19, 27-35, 43-46 3.5 alt-book(2) 6.6
9
Mon Oct 19 3.7 Indeterminate Forms and L'Hospital's Rule 1, 5, 9, 13, 17, 21, 25, 29, 33, 41, 43, 47 3.6alt-book(2) 6.7
Chapter 4: Applications of Differentiation
Tue Oct 20 Recitation Groupwork
Wed Oct 21 4.1 Maximum and Minimum Values 1-17 odd, 21-29, 36, 37, 39, 41, 43, 45 3.7 alt-book 3.1
Fri Oct 23 Test through 3.7 (results, solutions) samples
10
Mon Oct 26 4.2 The Mean Value Theorem 1-17 odd, 23, 26, 27 4.1 alt-book 3.2
Tue Oct 27 Recitation Groupwork
Wed Oct 28 4.3 Derivatives and the Shape of a Graph 1-11 odd, 15, 19-29 odd, 33, 35, 40, 41 4.2 alt-book 3.3-4
Fri Oct 30 4.4 Curve Sketching 5-17 odd, 21, 27, 31, 33, 37, 39, 41, 43 4.3 sage; alt-book 3.5 (drop deadline with WP/WF)
11
Mon Nov 2 More 4.4
Tue Nov 3 Recitation Groupwork
Wed Nov 4 4.5 Optimization Problems 3, 5, 7, 9, 13, 15-17, 21, 22, 25, 26, 40 4.4 alt-book 4.3
Fri Nov 6 Test through 4.4 (results, solutions) samples
12
Mon Nov 9 4.6 Newton's Method 1, 3, 5, 6, 9, 21, 22 4.5 sage; alt-book 4.1
Tue Nov 10 Recitation Groupwork 4.5
Wed Nov 11 Veterans day holiday, no class
Fri Nov 13 4.7 Antiderivatives 1-29 every 4th problem, 31-37 odd, 41, 44 4.6 sage; alt-book 5.1
13
Chapter 5: Integrals
Mon Nov 16 5.1 Areas and Distances 1-13 odd, 14 4.7 sage
Tue Nov 17 Recitation Groupwork
Wed Nov 18 5.2 The Definite Integral 1-11 odd, 19-21, 23, 29, 30, 31, 33, 35, 38-40 5.1 handout; sage; alt-book 5.2-3
Fri Nov 20 Test through 5.1 (results, solutions) samples
14
Mon Nov 23 5.3 Evaluating Definite integrals 1-29 odd, 37, 41-42, 47, 49, 52 5.2 alt-book 5.4
Tue Nov 24 Recitation Groupwork
Wed Nov 25 Thanksgiving holiday, no class
Fri Nov 27 Thanksgiving holiday, no class
15
Mon Nov 30 5.4 Fundamental Theorem of Calculus 1-11 odd, 15, 17, 19 5.3 alt-book 5.4
Tue Dec 1 Recitation Groupwork
Wed Dec 2 5.5 The Substitution Rule 1-21 odd, 22, 23, 27, 29, 30, 34, 37, 41, 43, 49, 50 5.4 alt-book 6.1
Fri Dec 4 Recap/ Review 5.5
16
Thu Dec 10 Final Exam 4:40-6:40 pm in a room to be announced Morton 122. Note: If you are taking CHEM 1510, which has its exam scheduled at the same time, then you will take the MATH 2301 exam 7-9pm in Morton 127 Morton 122. samples (results)

Martin J. Mohlenkamp
Last modified: Wed Dec 16 11:32:46 EST 2015