Campus: | Ohio University, Athens Campus |
---|---|

Department: | Mathematics |

Academic Year: | 2014 - 2015 |

Term: | Spring Semester |

Course: | Math 2301 |

Title: | Calculus I |

Sections: | 101 and 102 (Class Numbers 6040 and 6041) |

Instructor: | Mark Barsamian |

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

Office Hours: | My office hours are posted on my web page. |

**Course 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.

**Prerequisites: **(A in 163A) or (B or better in MATH 1350) or (C or better in 1300 or 1322) or (Math placement level 3)

**Retake: **May be retaken two times excluding withdrawals, but only last course taken counts.

**Calculators: **Calculators will not be allowed on exams.

**Online Math Software and Resources : ** (Link)

**Paper Syllabus **The syllabus handed out on the first day of class can be obtained at the following link: (syllabus) Note that the information on the paper syllabus is the same as the information on this web page.

**Ohio University MATH 2301 Web page: **(link)

**Instructors: **

- Mark Barsamian (Lecture Instructor), barsamia@ohio.edu, office: Morton Hall Room 538, phone: (740) 593-1273 (web page)
- Chathuri Karunarathna (Recitation Instructor) ck472514@ohio.edu
- Zhijian Li (Recitation Instructor) zl542711@ohio.edu

**Meeting Times and Locations: **

**Lecture Section 101 (Class Num. 6040) (Barsamian) meets 2:00pm – 2:55pm M,W,F in Morton 115**- Recitation Section 108 (Class Num. 6046) (Karunarathna) Thu 10:30am – 11:25am in Morton 215
- Recitation Section 109 (Class Num. 6047) (Li) Thu 9:00am – 9:55am in Morton 215

**Lecture Section 102 (Class Num. 6041) (Barsamian) meets 12:55pm – 1:50pm M,W,F in Morton 115**- Recitation Section 110 (Class Num. 6048) (Karunarathna) Tue 10:30am – 11:25am in Morton 215
- Recitation Section 111 (Class Num. 6049) (Li) Tue 9:00am – 9:55am in Morton 215

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

**Grading: **During the semester, you will accumulate points:

WebAssign: | 50 points possible |

Paper Homework: | 50 points possible |

Group Projects: | 50 points possible |

Exams (4 exams, 150 points each): | 600 points possible |

Final Exam: | 250 points possible |

Total: | 1000 points possible |

At the end of the semester, your Total will be converted to your Course Grade:

Total Score | Percentage | Grade | Interpretation |
---|---|---|---|

900 - 1000 | 90% - 100% | A-, A | You mastered all concepts, with no significant gaps |

800 - 899 | 80% - 89.9% | B-, B, B+ | You mastered all essential concepts and many advanced concepts, but have some significant gaps. |

700 - 799 | 70% - 79.9% | C-, C, C+ | You mastered most essential concepts and some advanced concepts, but have many significant gaps. |

600 - 699 | 60% - 69.9% | D-, D, D+ | You mastered some essential concepts. |

0 - 599 | 0% - 59.9% | F | You did not master essential concepts. |

**Attendance: **Attendance is required for all lectures and recitations, and will be recorded by a sign-in system.

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

**Missing an Exam Because of Illness: **If you are too sick to take an exam, then you must

- send me an e-mail before the exam, telling me that you are going to miss it because of illness,
- 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 Exams Because of a University Activity: **If you have a University Activity that conflicts with one of our exams, you must contact me before the exam to discuss arrangements for a make-up. I will need to see documentation of your activity. If you miss an exam because of a University Activity without notifying me in advance, you will not be given a make-up exam.

**Cheating on Exams: **If cheat on an exam, you will receive a zero on that exam and I will submit a report to the Office of Community Standards and Student Responsibility (OCSSR). If you cheat on another exam, you will receive a grade of F in the course and I will again submit a report to the OCSSR.

**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:

**Suggested Exercises:**are listed in a table on on page four of this syllabus.**The goal of the course is for you to be able to solve all of the**They are not to be turned in and are not graded, but you should do as many as possible and keep your solutions in a notebook.*Suggested Exercises*.**Textbook Readings: T**o learn how to do exercises, to succeed in the course, you must read the book.**WebAssign:**WebAssign is a computerized homework system, accessible through Blackboard.**(More information about accessing WebAssign can be found at this link: (Accessing WebAssign))**You will have frequent WebAssign assignments, of two types:**Reading Quiz:**A college course is much more effective if you read each book section before coming to a lecture that covers that section. The Reading Quizzes will test whether you have read the book. They will consist of a small number of basic problems from a book section to be covered in the next lecture. The problems will be similar to book examples and similar to*Suggested Exercises*.**WebAssign Homework:**These will consist of basic, intermediate and advanced problems from book sections that we have covered in class. Note that in class we will discuss general concepts and do only a few examples. The problems on the Skills Check will often be different from our class examples. Even so, they will always be similar to*Suggested Exercises*.

**Paper Homework:**It is important to be able to write math in a way that other people can understand. Paper homework assignments will help you practice that skill. About once a week, you will be assigned a problem similar to a*Suggested Exercise*to solve and turn in on paper. These will be graded on accuracy and also on neatness and clarity of explanation.**You are encouraged to work together, but collaborating does not mean copying.**You may solve problems together, but the words you write and turn in should be your own. If students work together, the result should be a higher quality of work, with fewer errors. When I grade homework, if I find identical wording, identical math, and identical mistakes in different students’ papers, I will deduct points.**Late homework papers will not be accepted.****Group Projects:**In Recitation and sometimes in Lecture, you will be given Group Projects. Details about the groups, the projects, and the grading will be presented in the first week.**Lectures:**We have 41 lectures, totaling 2255 minutes. It is not possible to present the entire content of the course in 2255 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. In lecture, I will sometimes highlight book material that is particularly important, sometimes present material in a manner different from the presentation in the book, sometimes solve examples, and sometimes give you group work assignments.**Exams:**will be problems based on the list of*Suggested Exercises*.**Final Exam:**will cover the entire course and will be problems based on the list of*Suggested Exercises*.

**Suggested Exercises: **The goal of the course is for you to be able to solve the 461 exercises in this table. These 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.

Section | Suggested Exercises |
---|---|

1.3 The Limit of a Function | 2, 3, 5, 8, 12, 21 |

1.4 Calculating Limits | 2, 3, 10, 12, 15, 17, 18, 19, 20, 21, 22, 23, 28, 29, 30, 31, 32, 33, 35, 42, 43, 45, 47 |

1.5 Continuity | 3, 4, 6, 13, 14, 15, 16, 29, 30, 32, 37, 39, 41, 45 |

1.6 Limits Involving Infinity | 1, 2, 3, 4, 5, 6, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 41, 42 |

2.1 Derivatives and Rates of Change | 1, 4, 5, 7, 9, 11, 15, 16, 17, 18, 23, 25, 27, 43 |

2.2 The Derivative as a Function | 1, 3, 5, 7, 9, 11, 13, 17, 18, 19, 20, 12, 22, 35, 36 |

2.3 Basic Differentiation Formulas | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 43, 45, 47, 49, 51 |

2.4 The Product and Quotient Rules | 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 51, 55 |

2.5 The Chain Rule | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 39, 47, 51, 53, 57, 62 |

2.6 Implicit Differentiation | 1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 25, 32 |

2.7 Related Rates | 1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 25, 29 |

2.8 Linear Approx. & Differentials | 1, 5, 11, 12, 15, 17, 19, 20, 21, 23, 24 |

3.2 Inverse Functions and Logarithms | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 18, 29, 31, 33, 35, 37, 39, 44, 46, 48, 63 |

3.3 Derivatives of Log. & Exp. Funcs. | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 65 |

3.5 Inverse Trigonometric Functions | 1, 3, 5, 7, 9, 13, 17, 19, 21, 23, 25, 34, 35, 37, 39 |

3.6 Hyperbolic Functions (skip inverses) | 1, 2, 3, 4, 5, 6, 19, 27, 28, 29, 30, 31, 32, 33, 34, 35, 43, 44, 45, 46 |

3.7 Indeter. Forms & L'Hopital's Rule | 1, 5, 9, 13, 17, 21, 25, 29, 33, 41, 43, 47 |

4.1 Maximum and Minimum Values | 1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 22, 23, 24, 25, 26, 27, 28, 29, 36, 37, 39, 41, 43, 45 |

4.2 The Mean Value Theorem | 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 26, 27 |

4.3 Derivatives and the Shape of a Graph | 1, 3, 5, 7, 9, 11, 15, 19, 21, 23, 25, 27, 29, 33, 35, 40, 41 |

4.4 Curve Sketching | 5, 7, 9, 11, 13, 15, 17, 21, 27, 31, 33, 37, 39, 41, 43 |

4.5 Optimization Problems | 3, 5, 7, 9, 13, 15, 16, 17, 21, 22, 25, 26, 40 |

4.6 Newton’s Method | 1, 3, 5, 6, 9, 21, 22 |

4.7 Antiderivatives | 1, 5, 9, 13, 17, 21, 25, 29, 31, 33, 35, 37, 41, 44 |

5.1 Areas and Distances | 1, 3, 5, 7, 9, 11, 13, 14 |

5.2 The Definite Integral | 1, 3, 5, 7, 9, 11, 19-21, 23, 29, 30, 31, 33, 35, 38, 39, 40 |

5.3 Evaluating Definite integrals | 1, 3, 5, 7, 9, 11, 13 ,15 ,17, 19, 21, 23, 25, 27, 29, 37, 41, 42, 47, 49, 52 |

5.4 Fundamental Theorem of Calculus | 1, 3, 5, 7, 9, 11, 15, 17, 19 |

5.5 The Substitution Rule | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 22, 23, 27, 29, 30, 34, 37, 41, 43, 49, 50 |

**Calendar for 2014 – 2015 Spring Semester MATH 2301 Sections 101 & 102 (Barsamian)**

(Items will be added to the calendar as the course proceeds.)

Week | Class Dates | Class topics | Recitation Topics |
---|---|---|---|

1 | Mon Jan 12 | 1.3 The Limit of a Function (Group Work 1) | Group Work 2 |

Wed Jan 14 | 1.3 The Limit of a Function (Reading Quiz 1 due on Blackboard) | ||

Fri Jan 16 | 1.4 Calculating Limits | ||

2 | Mon Jan 19 | Holiday: No Class | Group Work 3 |

Wed Jan 21 | 1.5 Continuity (Paper Homework 1 due) (Reading Quiz 2 due) (Group Work 4) | ||

Fri Jan 23 | 1.6 Limits Involving Infinity (WebAssign Homework 1 due) | ||

3 | Mon Jan 26 | 1.6 Limits Involving Infinity (WebAssign Homework 2 due) | Exam 1 covering Chapter 1 |

Wed Jan 28 | 2.1 Derivatives and Rates of Change (Lecture Notes) | ||

Fri Jan 30 | 2.2 The Derivative as a Function (Reading Quiz 3 due) (Group Work 5)(Lecture Notes) | ||

4 | Mon Feb 2 | 2.2 The Derivative as a Function (Lecture Notes) | Group Work 7 |

Wed Feb 4 | 2.3 Basic Differentiation Formulas (Lecture Notes) (Paper Homework 2 due) | ||

Fri Feb 6 | 2.4 The Product and Quotient Rules (Lecture Notes) | ||

5 | Mon Feb 9 | 2.5 The Chain Rule (Lecture Notes) | Group Work 8 |

Wed Feb 11 | 2.6 Implicit Differentiation (Lecture Notes) (Paper Homework 3 due) | ||

Fri Feb 13 | 2.7 Related Rates (Lecture Notes) | ||

6 | Mon Feb 16 | Rewiew: more examples from Sections 2.6 and 2.7 (Lecture Notes) | see info about recitations at left |

Tue Feb 17 | Section 102 had Exam 2 during recitation (Exam Info) (Solutions) | ||

Wed Feb 18 | 2.8 Linear Approx. & Differentials (Lecture Notes) | ||

Thu Feb 19 | Section 101 did not have recitation because of snow day. | ||

Fri Feb 20 | Section 102 had lecture (Lecture Notes). Section 101 had Exam 2. | ||

7 | Mon Feb 23 | 3.2 Inverse Functions (Lecture Notes) | see info about recitations at left |

Tue Feb 24 | Section 102: 3.2 Derivatives of Inverse Functions and Group Work 9 (Lecture Notes) | ||

Wed Feb 25 | Section 102: 3.3 Derivatives of Log. & Exp. Functions and Group Work 10 (Lecture Notes) Section 101: 3.2 Derivatives of Inverse Functions and Group Work 9 (Lecture Notes) | ||

Thu Feb 26 | Section 101: 3.3 Derivatives of Log. & Exp. Functions and Group Work 10 (Lecture Notes) | ||

Fri Feb 27 | 3.5 Inverse Trigonometric Functions (Lecture Notes) (Paper Homework 4 due) | ||

8 | Mon Mar 2 | Spring Break | |

Wed Mar 4 | |||

Fri Mar 6 | |||

9 | Mon Mar 9 | 3.6 Hyperbolic Functions (skip inverses) (Lecture Notes) | Group Work 11 Solutions |

Wed Mar 11 | 3.7 Indeter. Forms & L'Hopital's Rule (Lecture Notes) (Paper Homework 5 due)(Solutions) | ||

Fri Mar 13 | Leftovers and Review (Lecture Notes) | ||

10 | Mon Mar 16 | Exam 3 in Morton 235 covering Section 2.8 and Chapter 3 (Exam Info) | see info about recitations at left |

Tue Mar 17 | Section 102: 4.1 Maximum and Minimum Values I (Group Work 12) (Lecture Notes) | ||

Wed Mar 18 | Section 102: 4.1 Maximum and Minimum Values II (Group Work 13) (Lecture Notes) Section 101: 4.1 Maximum and Minimum Values I (Group Work 12) (Lecture Notes) | ||

Thu Mar 19 | Section 101: 4.1 Maximum and Minimum Values II (Group Work 13) (Lecture Notes) | ||

Fri Mar 20 | 4.2 The Mean Value Theorem (Lecture Notes) (Paper Homework 6 due) | ||

11 | Mon Mar 23 | 4.3 Derivatives and the Shape of a Graph I (Group Work 14) (Lecture Notes) | see info about recitations at left |

Tue Mar 24 | Section 102: 4.3 Derivatives and the Shape of a Graph II (Group Work 15) (Lecture Notes) | ||

Wed Mar 25 | Section 102: 4.4 Curve Sketching (Group Work 16) (Lecture Notes)
Section 101: 4.3 Derivatives and the Shape of a Graph II (Group Work 15) (Lecture Notes) | ||

Thu Mar 26 | Section 101: 4.4 Curve Sketching (Group Work 16) (Lecture Notes) | ||

Fri Mar 27 | 4.5 Optimization Problems Lecture 1(Lecture Notes) (Paper Homework 7 due) | ||

12 | Mon Mar 30 | 4.5 Optimization Problems Lecture 2(Lecture Notes) | see info about recitations at left |

Tue Mar 31 | Section 102: 4.6 Newton’s Method (Group Work 17) (Lecture Notes) | ||

Wed Apr 1 | Section 102: 4.7 Antiderivatives Lecture 1 (Group Work 18) (Paper Homework 8 due)(Lecture Notes) Section 101: 4.6 Newton’s Method (Group Work 17) (Paper Homework 8 due)(Lecture Notes) | ||

Thu Apr 2 | Section 101: 4.7 Antiderivatives Lecture 1 (Group Work 18) (Lecture Notes) | ||

Fri Apr 3 | 4.7 Antiderivatives Lecture 2 (Group Work 20) (Lecture Notes) | ||

13 | Mon Apr 6 | Exam 4 in Morton 235 covering Chapter 4 (Exam Info) | see info about recitations at left |

Tue Apr 7 | Section 102: 5.1 Areas and Distances Lecture 1 (Group Work 21) (Lecture Notes) | ||

Wed Apr 8 | Section 102: 5.1 Areas and Distances Lecture 2 (Group Work 22) (Lecture Notes)
Section 101: 5.1 Areas and Distances Lecture 1 (Group Work 21)(Lecture Notes) | ||

Thu Apr 9 | Section 101: 5.1 Areas and Distances Lecture 2 (Group Work 22)(Lecture Notes) | ||

Fri Apr 10 | 5.2 The Definite Integral Lecture 1 (Lecture Notes) | ||

14 | Mon Apr 13 | 5.2 The Definite Integral Lecture 2 (Group Work 23)(Paper Homework 9 due) (Lecture Notes) | see info about recitations at left |

Tue Apr 14 | Section 102: 5.3 Evaluating Definite Integrals Lecture 1 (Group Work 24)(Lecture Notes) | ||

Wed Apr 15 | Section 102: 5.3 Evaluating Definite Integrals Lecture 2 (Lecture Notes)
Section 101: 5.3 Evaluating Definite Integrals Lecture 1 (Group Work 24)(Lecture Notes) | ||

Thu Apr 16 | Section 101: 5.3 Evaluating Definite Integrals Lecture 2 (Lecture Notes) | ||

Fri Apr 17 | 5.4 Fundamental Theorem of Calculus Lecture 1 (Group Work 25)(Lecture Notes) | ||

15 | Mon Apr 20 | 5.4 Fundamental Theorem of Calculus Lecture 2 (Group Work 26)(Paper Homework 10 due)(Lecture Notes) | see info about recitations at left |

Tue Apr 21 | Section 102: 5.5 The Substitution Rule Lecture 1 (Group Work 27)(Lecture Notes) | ||

Wed Apr 11 | Section 102: 5.5 The Substitution Rule Lecture 2 (Group Work 28)(Lecture Notes)
Section 101: 5.5 The Substitution Rule Lecture 1 (Group Work 27) (Lecture Notes) | ||

Thu Apr 23 | Section 101: 5.5 The Substitution Rule Lecture 2 (Group Work 28)(Lecture Notes) | ||

Fri Apr 24 | Leftovers and Review (Lecture Notes) | ||

16 | Thu Apr 30 | Final Exam 2:30pm – 4:30 pm in Morton 235 |

(page maintained by Mark Barsamian, last updated Aug 17, 2015)