Calculus, Early Transcendentals Single Variable, by James Stewart, 6th edition.
ISBN: 9 780495384250

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Calculus I Math 120

 

 

 


Student Syllabus
Instructor: Dr. Ovidiu Calin
Office #:Pray Harrold 516 F
email: ocalin@emich.edu

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Class Hours:
3 :30 pm - 4:20 pm Monday, Tuesday,Wednesday, Thursday in Pray-Harrold, room 321

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Office Hours: Monday, Wednesday 4:30 pm - 5:30 pm.

I. Course description
Calculus of functions of a single variable; differential calculus, including limits, derivatives, techniques of differentiation, the mean value theorem and applications of differentiation to graphing, optimization and rates. Integral calculus, including indefinite integrals, the definite integral, the fundamental theorem of integral calculus, and applications of integration to area and volume.

The usual content of the course is:

Limits and Continuity
What is a limit?; Rules for calculating limits; Continuity; Intermediate Value Theorem;
Definition of derivative; Derivative as rate of change;
Differentiability implies continuity; Continuity properties of the elementary functions
Derivative Rules for differentiation (including product, quotient and chain rules);
Derivatives of the elementary functions; Implicit differentiation; Related rates
Application of derivatives
Fermat's principle; The closed interval method; The mean value theorem;
First and second derivative tests; Curve sketching; Optimization;
Anti-differentiation
Integration
Definite integrals as signed area; Riemann sums; Rules for definite integrals;
Fundamental theorem of calculus; Indefinite integrals; Substitution;
Area between curves.

II. Prerequisites
Placement or at least a C in MATH105 and MATH107, or in MATH112, or in MATH210 and MATH107.

III. Course Objectives
The course seeks to give the student a thorough introduction to key ideas of differential and integral calculus, together with a good sense of how these ideas are applied.

This course does not automatically count as a QR course for every student who takes it.  
In general, students need to meet one of the following prerequisites in order for this course to satisfy the QR requirement:
ACT math score: 23 to 27; or
SAT math score: 580 to 660; or
EMU Math Placement Exam (QR Choice): College Level Math Score (CLM) 53 to 92; or
Credit in MATH 104 with a grade of “C” or better
If you do not meet any of these prerequisites, it is essential that you check with an advisor about what class to take to satisfy your QR requirement for general education.
For more information go to www.emich.edu/gened.

IV. Standards
Student evaluation will be based on the following performance criteria:

1. Correct use of concepts, laws, formulas and principles.
2. Appropriate use of language, terminology and nomenclature.
3. Accuracy of language, calculations and simplifications.
4. Adequate interpretation of solutions to problems.
5. Presentation of tests and assignments.

V. Textbook
Calculus, Early Transcendentals Single Variable, by James Stewart, 7th edition.

VI. Technology
The course requires a Texas Instruments 83 or higher.

VII. Evaluation
There are two midterm exams and a final exam.

Midterms: October 7 and November 18
Final : December (to be announced)
Quizzes: every week.
Quizzes have attendance value; they can’t be made up later!

All exams are hold during the regular class sections.

There is no make up for the exams unless you have a verifiable excuse (for instance, being sick will require written proof from the doctor).

There is homework provided weekly in class as practice problems. Students are free to discuss the homework problems, get help in the Math Help Center, ask questions in class and attend office hours. I will solve at the beginning of each class the most challenging problems assigned in the homework. Failing to do the weekly homework will have a negative impact on the quizzes and exams performance. However, there is no extra credit for doing the homework.

Attendance will be taken regularly on a daily basis. Students are encouraged to attend every single class. In the case of missing a class, it is the student responsibility to ask for the homework and take the notes from a friend.

The final grade in this course is computed using the following weights:

Midterm I 20 %
Midterm II 20%
Final 20 %
Quizzes 40 %

The cut-offs for the final grade in this course will be calculated as follows:

A 95 %
A- 90 %
B+ 85 %
B 80 %
B- 75 %
C+ 70 %
C 65 %
D 60 %
E <60 %

VI. Attendance
Even if class attendance is not required, only few students are able to understand the material by themselves, just reading the material. So absences will most probably affect your grade in a negative manner. It is your best interest to show up.

VII.Webpage

VIII. Instructor Information
I am a full-time faculty member at Eastern Michigan University in the Department of Mathematics and you are my primary responsibility. I am happy to meet with you an any issue regarding class activity and to provide help when you do not understand something we have covered. You may see me in my office before the class. Also, my email address is ocalin@emich.edu. More information about my teaching and research interests can be found at my webpage http://math.acad.emich.edu/~ocalin/

IX. Classroom Etiquette
Please silence your cellular phones before class and, under no circumstances may you use a phone for any purposes during class, including text messaging. If you need to make an emergency call, please do it after leaving the class quietly.

X. Disabilities
Any students needed to arrange a reasonable accommodation for a documented disability should contact Access Service Office in 203 King Hall, 487-2470.

XI. Miscellaneous
1.In the event that you must miss an exam or a quiz due date for a VALID (emergency) AND verifiable (PRESENT PROOF) I must be notified preferably in advance by a phone call or an email message.
2.Examples of unverifiable (or inadequate) reasons: oversleeping, going on a pleasure trip, or just not feeling like coming to class.
3.Weather-related problems that I can verify through the news media are always valid. Do not risk your life to come to class! If school is in session I will most likely be here, because I don't live far away. If you commute and do not feel it is safe to travel, do not come. Give me a call and you will not be penalized for missing the class.
4.Class attendance is essential. If you must miss a class, it is your responsibility to get any handouts from the professor, notes from a classmate, and complete the assignments. Also, the professor is available during the office hours. Tutorial assistance is available free of charge in the Math Student Help Center (220 Pray-Harrold). Assistance is also available through The Learning center on campus (Bruce T. Halle Library).
5.If you cannot attend the official office hours, I also offer office hours by appointment.
6.Every student will be assigned a number in the first day of class, called lucky number. Please write this number together with your name on all homework assignments and tests for the rest of the semester.
7.When you prepare your homework please write eligibly. The grade is given not only for correctness but also for the presentation and style.
8.During exams students often do mistakes and they need to erase some parts of the solution. It is suggested to write the exam in a black pencil and have an eraser on hand.