**Course: **MATH 1350

**Title: **Survey of Calculus

**Section: **111 (Class Number 5831)

**Campus: **Ohio University, Athens Campus

**Department: **Mathematics

**Academic Year: **2019 - 2020

**Term: **Spring Semester

**Instructor: **Mark Barsamian

**Contact Information: **My contact information is posted on my web page.

**Office Hours for 2018 - 2019 Spring Semester: **8:45am - 9:30am Mon - Fri in Morton 538

**Course Description: **A survey of basic concepts of calculus for students who want an introduction to calculus, but who do not need the depth of MATH 2301

**Prerequisites: **MATH 1321 or (C or better in 1200) or math placement level 2 or higher and WARNING: No credit for this course and MATH 2301 (MATH 1350 always deducted)

**Special Needs: **If you have physical, psychiatric, or learning disabilities that require accommodations, please let me know as soon as possible so that your needs may be appropriately met.

**Meeting Times and Locations: **Section 111 (Class Number 5831), taught by Mark Barsamian, originally met at these times and locations:

- Mon, Wed, Fri: 2:00pm - 2:55pm in Morton Hall Room 235
- Tue: 1:30pm-2:25pm in Morton Hall Room 235

Ohio University moved all of its 2019 – 2020 Spring Semester courses to an online format during Spring Break, in March 2020. This web page is undergoing redesign in order to better suit the needs of instructors running online courses.

**Helpful Cellphone App: Camscanner**

Camscanner is a useful app that uses a cellphone camera to take a picture of a document, and then crops and sharpens the image and turns it into a PDF file. This is very useful for students who need to submit homework electronically. It is helpful to the instructor, because when the instructor receives a PDF of the homework, it is easy to add comments. (link to Camscanner web page)

**Textbook Information: ***Ximera Business Calculus*, produced by authors at *Ohio State University*. The book is accessed through a link on the course *Blackboard* page. There is no cost for the textbook.

**Exercises: **The exercises for the course can be accessed through a link on the course *Blackboard* page. There is also a direct link here: (link to exercises)

**Syllabus: **For Section 111 (Class Number 5831), taught by Mark Barsamian, this web page replaces the usual paper syllabus. If you need a paper syllabus (now or in the future), unhide the Calendar and then print this web page.

**Calendar: **

**Day #1:**Course Intro; Intro to Ximera; Functions**Book Sections:**1, 2.2**Lecture Notes:**Lecture Notes Day 1

**Day #2:**Functions; Compositions; Inverses**Book Sections:**2.3, 2.4**Lecture Notes:**Lecture Notes Day 2

**Day #3:**Increasing & Decreasing Functions, Financial Mathematics**Book Sections:**2.5, 2.6**Lecture Notes:**Lecture Notes Day 3**Page Summarizing Business Terminology:**Business Terminlogy

**Day #4:**Review Families of Functions**(Quiz 1)****Book Sections:**3**Lecture Notes:**Lecture Notes Day 4

**Monday is Martin Luther King Day: No Class****Day #5:**Intro to Limits; Limits for a Function Defined by a Graph**Book Sections:**4.1, 4.2**Lecture Notes:**Lecture Notes Day 5

**Day #6:**Limits of a Function Defined by a Formula**Book Sections:**5.1, 5.2, 5.3**Lecture Notes:**Lecture Notes Day 6

**Day #7:**Limits of the indeterminate form zero over zero**(Quiz 2)****Book Sections:**6.1, 6.2**Lecture Notes:**Lecture Notes Day 7

**Day #8:**Limits of the form nonzero over zero; Infinite Limits**Book Sections:**6.3**Lecture Notes:**Lecture Notes Day 8

**Day #9:**Continuity; Continuity of Piecewise Functions**Book Sections:**5.2, 5.4**Lecture Notes:**Lecture Notes Day 9

**Day #10:**Sign Tables; Solving Inequalities**Book Sections:**7**Lecture Notes:**Lecture Notes Day 10

**Day #11:****In-Class Exam 1 on Functions and Limits**- Information will be posted here closer to the exam date.
**Remark: Exam Problems are based on the Exercises!**

**Day #12:**Slope of a curve; Definition of the Derivative**Book Sections:**8.1, 8.2**Lecture Notes:**Lecture Notes Day 12

**Day #13:**Definition of the Derivative**Book Sections:**8.2**Lecture Notes:**Lecture Notes Day 13

**Day #14:**Derivatives as Functions**Book Sections:**9**Lecture Notes:**Lecture Notes Day 14

**Day #15:**Derivative Rules: Constant Function Rule; Power Rule**(Quiz 3)****Book Sections:**10.2**Lecture Notes:**Lecture Notes Day 15

**Day #16:**Derivative Rules: The Sum Rule**Book Sections:**10.2**Lecture Notes:**Lecture Notes Day 16

**Day #17:**Derivative Rules: The Product Rule**Book Sections:**11.2**Lecture Notes:**Lecture Notes Day 17

**Day #18:**Derivative Rules: The Quotient Rule**Book Sections:**11.2**Lecture Notes:**Lecture Notes Day 18

**Day #19:**Derivative Rules: The Chain Rule**(Quiz 4)****Book Sections:**12.2**Lecture Notes:**Lecture Notes Day 19

**Day #20:**Derivative Rules: The Chain Rule**Book Sections:**12.2**Lecture Notes:**Lecture Notes Day 20

**Day #21:**Derivative Rules: Derivatives of Exponential Functions**Book Sections:**13**Lecture Notes:**Lecture Notes Day 21

**Day #22:**Derivative Rules: Derivatives of Logarithmic Functions**Book Sections:**14**Lecture Notes:**Lecture Notes Day 22

**Day #23:**More discussion of Derivatives of Logarithmic Functions, and General Review**Book Sections:**14 and Review**Lecture Notes:**Lecture Notes Day 23

**Day #24:****In-Class Exam 2 on Derivatives and Derivative Rules****Day #25:**Tangent Lines and Linear Approximation; Differentials**Book Sections:**18**Lecture Notes:**Lecture Notes Day 25

**Day #26:**Applications of Derivative: Problems involving Estimation**Book Sections:**Supplement on Rate of Change and Estimation Problems**Lecture Notes:**Lecture Notes Day 26

**Day #27:**Increasing & Decreasing Functions Revisited**(Quiz 5)****Book Sections:**19.2**Lecture Notes:**Lecture Notes Day 27

**Day #28:**Extrema; Critical Points; the First Derivative Test**Book Sections:**19.3**Lecture Notes:**Lecture Notes Day 28

**Day #29:**More examples using the First Derivative Test**Book Sections:**19.3**Lecture Notes:**Lecture Notes Day 29

**Day #30:**Higher Order Derivatives**Book Sections:**17**Lecture Notes:**Lecture Notes Day 30

**Day #31:**Concavity; Second Derivative Test**(Quiz 6)****Book Sections:**20**Lecture Notes:**Lecture Notes Day 31

**Day #32:**Extrema on Closed Intervals**Book Sections:**21.2**Lecture Notes:**Lecture Notes Day 32

**Day #33:**Limits and Vertical Asymptotes**Book Sections:**22.2**Lecture Notes:**Lecture Notes Day 33

**Day #34:**Limits and Horizontal Asymptotes**Book Sections:**22.3**Lecture Notes:**Lecture Notes Day 34

**Day #35:**Graphing**(Quiz 7)****Book Sections:**23,24**Lecture Notes:**Lecture Notes Day 35

**Day #36:**Optimization I: Single Variable Applied Optimization**Book Sections:**26**Lecture Notes:**Lecture Notes Day 36

**Day #37:**Optimization II: Two Variable Abstract Optimization**Book Sections:**25**Lecture Notes:**Lecture Notes Day 37

**Day #38:**Optimization III: Two Variable Applied Optimization**Book Sections:**26**Lecture Notes:**Lecture Notes Day 38

**Day #39:****In-Class Exam 3 on Applications of the Derivative**

**Day #40:**Antiderivatives and Indefinite Integrals**Book Sections:**27**Supplemental Reading:**Supplemental Reading**Meeting Video:**Meeting Video**Meeting Notes:**Meeting Notes

**Day #41:**Indefinite Integral Rules**Book Sections:**27**Supplemental Reading:**Supplemental Reading- Page Listing Derivative and Indefinite Integral Rules: Rules
**Meeting Video:**Meeting Video**Meeting Notes:**Meeting Notes

**Day #42:**Integration with Initial Conditions**Book Sections:**28**Supplemental Reading:**Supplemental Reading- Page Listing Derivative and Indefinite Integral Rules: Rules
- Steps for Solving a Derivative Equation with Extra Condition: Steps
**Meeting Video:**Meeting Video**Meeting Notes:**Meeting Notes

**Day #43:**Area**(Quiz 8)****Book Sections:**29, 30**Supplemental Reading:**Supplemental Reading**Meeting Video:**Meeting Video**Meeting Notes:**Meeting Notes

**Day #44:**Riemann Sums and the Definite Intgral**Book Sections:**29,30**Supplemental Reading:**Supplemental Reading**Meeting Video:**Meeting Video**Meeting Notes:**Meeting Notes

**Day #45:**The Fundamental Theorem of Calculus**Book Sections:**29,30**Supplemental Reading:**Supplemental Reading**Meeting Video:**Meeting Video**Meeting Notes:**Meeting Notes

**Day #46:**Using Definite Integrals to Solve Total Change Problems**Book Sections:**32**Supplemental Reading:**Supplemental Reading**Meeting Video:**Meeting Video**Meeting Notes:**Meeting Notes

**Day #47:**Using Definite Integrals to Find the Average Value of a Function on an Interval**(Quiz 9)****Book Sections:**32**Supplemental Reading:**Supplemental Reading**Meeting Video:**Meeting Video**Meeting Notes:**Meeting Notes

**Day #48:**Area Between Curves**Book Sections:**35**Supplemental Reading:**Supplemental Reading**Meeting Video:**Meeting Video**Meeting Notes:**Meeting Notes

**Day #49:**Applications of Area Between Curves and*The Gini Index***Book Sections:**That the online*Ximera*textbook does not discuss Applications of the Area Between Curves and does not discuss the*Gini Index*. Those topics are only covered in the*Supplemental Reading*for Day 49.**Supplemental Reading:**Supplemental Reading**Meeting Video:**Meeting Video**Meeting Notes:**Meeting Notes

**Day #50:**Consumers' Surplus**(Quiz 10)****Book Sections:**36**Supplemental Reading:***Ximera*textbook Section 36 is adequate for this topic, so there is no Supplemental Reading**Meeting Video:**Meeting Video**Meeting Notes:**Meeting Notes

**Day #51:**Producers' Surplus; Equilibrium Price**Book Sections:**36**Supplemental Reading:***Ximera*textbook Section 36 is adequate for this topic, so there is no Supplemental Reading**Meeting Video:**Meeting Video**Meeting Notes:**Meeting Notes

**Grading (Revised for Online Instruction): **

During the semester, you will accumulate a * Points Total* of up to

**Quizzes:**Best 8 of 10 quizzes @ 40 points each = 320 points possible**Online Assignments:**Rescaled to 160 points possible**In-Class Exams:**Best 2 of 3 exams @ 160 points each = 320 points possible**Final Exam:**200 points possible**Textbook Questions:**20 bonus points possible

Observe that the points shown above actually total 1020. That is because your points from answering the question in the online textbook are considered bonus points.

At the end of the semester, your * Points Total* will be converted into your

- A grade of
**A, A-**means that you mastered all concepts, with no significant gaps.- 900 - 1000 points (or more) = 90% - 100% (or more) =
**A** - 850 - 899 points = 85% - 89.9% =
**A-**

- 900 - 1000 points (or more) = 90% - 100% (or more) =
- A grade of
**B+, B, B-**means that you mastered all essential concepts and many advanced concepts, but have some significant gaps.- 800 - 849 points = 80% - 84.9% =
**B+** - 750 - 799 points = 75% - 79.9% =
**B** - 700 - 749 points = 70% - 74.9% =
**B-**

- 800 - 849 points = 80% - 84.9% =
- A grade of
**C+, C, C-**means that you mastered most essential concepts and some advanced concepts, but have many significant gaps..- 650 - 699 points = 65% - 69.9% =
**C+** - 600 - 649 points = 60% - 64.9% =
**C** - 550 - 599 points = 55% - 59.9% =
**C-**

- 650 - 699 points = 65% - 69.9% =
- A grade of
**D+, D, D-**means that you mastered some essential concepts.- 500 - 549 points = 50% - 54.9% =
**D+** - 450 - 499 points = 45% - 49.9% =
**D** - 400 - 449 points = 40% - 44.9% =
**D-**

- 500 - 549 points = 50% - 54.9% =
- A grade of
**F**means that you did not master essential concepts.- 0 - 399 points = 0% - 39.9% =
**F**

- 0 - 399 points = 0% - 39.9% =

Note that although this grading scale may look easy compared to the usual 90,80,70,60 scale, it is actually not easier. The reasons are:

- The letter grades in this course mean the same thing as the letter grades in other courses.
- When I grade homework and exams, I give out fewer points. (In this course, if you do grade C work on a 20 point exam problem, you will get between 11, 12, or 13 points for the problem. That is in the range 55% - 69.9%. But in somebody else's course that uses the 90,80,70,60 scale, you would have gotten 14 or 15 points for the problem. That is in the range 70% - 79.9%.)
**There is no curve.**

**Course Structure: **

One learns math primarily by trying to solve problems. This course is designed to provide structure for you as you learn to solve problems, and to test how well you have learned to solve them. This structure is provided in the following ways.

**Textbook Readings:**To succeed in the course, you will need to read the textbook. The textbook is free and is accessed through Blackboard. Embedded in the textbook are hundreds of questions posed to you, the reader, with answer boxes to be filled in. Many of these are short, conceptual questions. Some of them are questions that will require that you do a calculation. The textbook grades your answer, and a total of your scores is kept in the Blackboard gradebook. I will use your total score from Blackboard to compute the*Textbook Questions*portion of your course score.**Lectures:**In lecture, I will sometimes highlight textbook material that is particularly important, sometimes present material in a manner different from the presentation in the book, and sometimes solve sample problems. We have 51 lectures, totaling 2805 minutes. It is not possible to cover the entire content of the course in 2805 minutes, and the lectures are not meant to do that. Lectures are meant to be a supplement to your reading the textbook and solving problems.**Office Hours:**Come to my office for help! My regular office hours are 8:45am - 9:30am Mon - Fri. If those times are not good for you, I am sometimes available at other times as well, but just not at a regular day & time. Call me, or email me, or talk to me after class to set something up.**Tutoring & SI:**For information about Tutoring and Supplemental Instruction (SI), go to the following link: Student Resources**Written Exercises:**On the Blackboard page, by the link to the textbook, you will find a link to a web page of exercises. There is also a direct link here: (link to exercises) The goal of the course is for you to be able to solve the exercises on this web page, writing your solutions on paper. These written exercises are not to be turned in and are not graded, but you should do as many of them as possible and keep your solutions in a notebook for study. These problems are similar in style to the problems that I write for Quizzes and Exams, so although the Exercises are not graded, you should work hard on them, practicing writing clear solutions on paper. That is the very best way to prepare for the Quizzes and Exams. Come to me for help on the written exercises. I will be glad to help you with exercises that you are stuck on. I will also be glad to discuss your finished written solutions to other exercises. A lot can be learned from talking about your work with somebody else.**Written Work that is Graded:**During class meetings, you will take*Quizzes*, and*Exams*. They are all based on the*Written Exercises*(mentioned above).**Quizzes:**There are ten Quizzes. These are roughly 10-15 minutes long and are given at the end of class on the dates shown in the calendar above.**In-Class Exams:**There are four In-Class Exams. These take an entire class period and are given on the dates shown in the calendar above. The amount of content on an In-Class Exam is roughly four times the amount of content on a Quiz.**Final Exam:**The final exam is given on the date shown in the calendar above. The amount of content on the Final Exam is roughly twice the amount of content on an In-Class Exam.**Importance of Clarity in Written Work:**Note that on the quizzes and exams that you take, the goal is to present solutions to problems, not merely come up with answers.*You are graded on the clarity and correctness of your presentation of the solutions to the problems.*Here is a short*Style Guide*for your written work:### Style Guide for Written Solutions to Mathematical Problems

On the quizzes and exams that you take, the goal is to present solutions to problems, not merely come up with answers.

- All details of calculations should be presented clearly, with explanations for key steps.
- All steps of a calculation need to be correct for the calculation to be considered correct. A calculation where multiple mistakes somehow cancel each other and give a correct answer is just as incorrect as a calculation where a mistake leads to a wrong answer.
- Answers should be simplified, unless you are specifically instructed to not simplify.
- Everything that you write should be in sentences.
- Of course, any prose that you write should be in sentences.
- But also note that mathematical symbols are just abbreviations for things that can be written in prose sentences. So really, all your mathematical symbols should be written in sentences, too.

- Mathematical expressions should be presented in equations with a correct left side.
- When you start a calculation of a new quantity, write it on a new line.
- Work in fractions and symbols, not mixed fractions or decimals.
- For example, write \(\frac{7}{3}\) instead of \(2\frac{1}{3}\) or 2.33
- For example, write \(\sqrt{3}\) instead of 1.73
- For example, write \(\frac{1}{e^2}\) instead of .135

- The square root symbol is fine. But for more complicated expressions, use fractional exponents instead of complicated radical notation.
- For example, both \(x^{1/2}\) and \(\sqrt{x}\) are fine.
- But write \(x^{5/3}\) instead of \(\sqrt[3]{x^5}\)

- Final answers should be written with positive exponents.
- For example, write \(\frac{1}{e^2}\) instead of \(e^{-2}\)

**Attendance Policy: **

Attendance is required for all lectures and exams, and will be recorded using sign-in sheets.

**Missing Class: **If you miss a class for any reason, it is your responsibility to copy someone's notes or download my notes from the course web page, and study them. I will not use office hours to teach topics discussed in class to students who were absent.

**Missing a Quiz or Exam Because of Illness: **If you are too sick to take a quiz or exam, then you must

- send me an e-mail before the quiz/exam, telling me that you are going to miss it because of illness, then
- then go to the Hudson Student Health Center.
- Later, you will need to bring me documentation from Hudson showing that you were treated there.

**Missing Quizzes or Exams Because of University Activity: **If you have a University Activity that conflicts with one of our quizzes or exams, you must contact me before the quiz or exam to discuss arrangements for a make-up. I will need to see documentation of your activity. If you miss a quiz or an exam because of a University Activity without notifying me in advance, you will not be given a make-up.

**Missing Quizzes or Exams Because of Personal Travel Plans: **All of the in-class exams and nine of the ten quizzes are on Fridays. Students often ask me if they can make up a quiz or exam, or take it early, because their ride home is leaving earlier in the day. The answer is always, *No you may not have a make-up or take the quiz or exam early. You will just have to change your travel plans or forfeit that quiz or exam.*

**Policy on Cheating: **

If cheat on a quiz or exam, you will receive a zero on that quiz or exam and I will submit a report to the Office of Community Standards and Student Responsibility (OCSSR).

If you cheat on another quiz or exam, you will receive a grade of F in the course and I will again submit a report to the OCSSR.

**Calculators and Free Online Math Resources: **

**Calculators:**

Calculators will not be allowed on quizzes or exams.

**Websites with Useful Math Resources: **

In lectures, I often use a computer for graphing and calculating. The computer tools that I use are free online resources that are easily accessible at the following link.

Link to Free Online Math Resources

I use the same online resources in my office, instead of a calculator. You are encouraged to use these same free resources at home, instead of a calculator.

page maintained by Mark Barsamian, last updated April 23, 2020