Spring 2016

Calculus Early Transcendentals

 Stewart  (Eighth Edition)

ISBN 978-1-285-74155-0


PREREQUISITES: Calculus I is the first in a three course sequence that develops the fundamental concepts of the real number calculus.  This course requires successful completion of Math 1730 (Precalculus) or its equivalent.  If you have taken precalculus but earned a C-, you should strongly consider retaking that course before taking Calculus I.

You will need a graphing calculator (preferably TI-83 or TI-84).  You may not use graphing calculators with symbolic manipulation software (DERIVE, MAPLE, etc.) on exams.  

PURPOSE: Calculus I provides an introduction to single variable calculus.  In particular, in this course you will

We will be using graphing calculators extensively in class.  If you encounter differences or difficulties, the following links might prove helpful.

TI Instruction Manuals:

TI 84 Tutorial:

TI-83 and TI-84 Tutorial:

From a broader perspective, you will also learn key thinking skills that will prepare you for the special difficulties presented by calculus problems.  In particular, you will practice

OBJECTIVES: Upon completion of this course, students will have developed an understanding of: 
1. limits and how to compute them; 
2. the derivative as a limiting process; 
3. the importance of the derivative function in determining properties of the function it comes from;  
4. the methods used for creating graphs of the derivative function from the graph of a function; 
5. the methods used for computing the derivative formula for a function given the formula for the function; 
6. applications of the derivative;
7. the definite integral; 
8. antiderivatives for a function and their relationship to the definite integral;  
9. some methods for computing definite integrals given the formula for the function; 

REQUIREMENTS: In general, you are expected to 
1. attend class and participate in discussions; 
2. read and study class assignments and solve assigned problems; 
3. ask questions in class when you are unsure of any concept or unclear on any assigned problem; 
4. attend the help lab or come to my office for additional assistance as necessary; 
5. take all announced quizzes and exams (including the final) on the day they are scheduled
6. come to class prepared.  This includes completing homework in a timely manner, bringing your textbook, and bringing your calculator. 

I have primary responsibility for control over the classroom learning environment and can direct the temporary removal or exclusion from the classroom of any student engaged in disruptive conduct or conduct which otherwise violates the general rules and regulations of the institution.  Depending on the severity or frequency of the incident(s), I may report such misconduct to the assistant dean for Judicial Affairs for implementation of such disciplinary sanctions as may be appropriate.

GRADING: We will cover the content in Chapters 1 - 5 of the text (we may not always be using the textbook, however).  Grading is done on a standard scale : 90-100 -- A, 80-89.5 -- B, etc.  Individual activities are not curved; however, there will be a curve at the end of the course.  The grading components for the course are as follows:

  1. In-class testing:  There will be a minimum of four in-class exams.  All  exams are closed-book, last the entire class period, and are worth 100 points each.   Exams will count 60% of your final grade.
  2. Final exam:  There will be a comprehensive in-class final exam given on the specified final exam date.  This exam will count 15% of your final grade.
  3. Quizzes:  There will be a minimum of four in-class quizzes, each roughly halfway between exams.  Quizzes will be approximately 20 minutes long and will count  25% of your final grade.

Your end-of-semester grade will be computed according to the following formula

                                                                                                           FINAL GRADE = 0.6(E / e)  + 0.15(F / f) + 0.25(Q / q)  



If you are not able to take a quiz or exam at the scheduled time, you must schedule a makeup time.  Except for medical or family emergencies, the scheduled makeup time cannot be more than two weekdays after the quiz or exam.  You will not be able to make up graded homework activities. 

If you are diagnosed with, or suspect you have the flu... DO NOT COME TO CLASS.

I usually return an exam or quiz no more than two class days after it is given.  It is your responsibility to monitor your progress in the course.  I strongly recommend you actively ask questions in class or come to my office regularly to discuss your progress.  I will be happy to suggest strategies for helping you succeed, but no strategy provides a quick-fix. You will receive a detailed breakdown of your grade around mid term.  Do not wait until the last few weeks of class to try improving your grade. 

I will be taking attendance on most days.  More than four unexcused absences will automatically lower your end-of-semester grade by one letter.


IMPORTANT:  It is Department policy not to grant withdrawals after the withdrawal deadline has passed, unless circumstances have arisen which make it impossible for you to complete the course.  Late withdrawals must be approved by the Department Chair and often require documentation for the extenuating circumstances.

No one will be exempt from the final.

LOTTERY STATEMENT:   To retain the Tennessee Education Lottery Scholarship eligibility, you must earn a cumulative TELS GPA of 2.75 after 24 and 48 attempted hours and a cumulative TELS GPA of 3.0 thereafter.  A grade of C, D, F, FA, or I in this class may negatively impact TELS eligibility. If you drop this class, withdraw, or if you stop attending this class you may lose eligibility for your lottery scholarship, and you will not be able to regain eligibility at a later time.For additional Lottery rules, please refer to your Lottery Statement of Understanding form ( or contact your MT One Stop Enrollment Counselor (

INCOMPLETES:  An incomplete will be given only in accordance with the University Policy.  If you have a disability that may require assistance or accommodation, or you have questions related to any accommodations  for testing, note takers, readers, etc., please speak with me as soon as possible. Students may also contact the  Office of Disabled Students Services (898-2783) with questions about such services.  

ACADEMIC MISCONDUCT:  Middle Tennessee State University takes a strong stance against academic misconduct.  Academic Misconduct includes, but is not limited to, plagiarism, cheating, and fabrication.  Plagiarism, cheating, fabrication, or facilitating any such act.  For purposes of this section, the following definitions apply:

(1) Plagiarism:  The adoption or reproduction of ideas, words, statements, images, or works of another person as one’s own without proper attribution. This includes self-plagiarism, which occurs when an author submits material or research from a previous academic exercise to satisfy the requirements of another exercise and uses it without proper citation of its reuse.

(2) Cheating:  Using or attempting to use unauthorized materials, information, or study aids in any academic exercise.  This includes unapproved collaboration, which occurs when a student works with others on an academic exercise without the express permission of the professor.  The term academic exercise includes all forms of work submitted for credit or hours.

 (3) Fabrication:  Unauthorized falsification or invention of any information or citation in an academic exercise.

Going online and taking information without proper citations, copying parts of other student’s work, creating information for the purposes of making your paper seem more official, or anything involving taking someone else’s thoughts or ideas without proper attribution is academic misconduct.  If you work together on an assignment when it is not allowed, it is academic misconduct.  If you have a question about an assignment, please come see me to clarify.  Any cases of academic misconduct will be reported to the Office of Academic Affairs for violating the academic honesty requirements in the student handbook.  They will also result in failure for the course.  Remember – ignorance is NOT a defense.   

Students with Disabilities:  Middle Tennessee State University is committed to campus access in accordance with Title II of the Americans with Disabilities Act and Section 504 of the Vocational Rehabilitation Act of 1973.  Any student interested in reasonable accommodations can consult the Disability & Access Center (DAC) website and/or contact the DAC for assistance at 615-898-2783 or

This syllabus is only a guide for your convenience; I reserve the right to make changes as class needs dictate.


Important dates:                                  

January 30 --- Last day to drop without a grade              March 26 --- Last day to drop with a "W"

March 6 - 11 --- Spring Break                                            April 27 --- Study Day (No Classes)                        

April 28 - May 4 --- Finals Week

FINAL EXAM    ---    Section 012 Friday April 28       12:30 - 2:30 PM                  Section 015 Monday May 1       12:30 PM - 2:30 PM

The final exam is comprehensive and multiple choice.  You will NOT need a Scantron sheet.


CLASS SCHEDULE (Subject to change as class needs dictate)  (Investigation handouts will be placed on my webpage.  Problem assignments can be found on the investigation handouts.  Some assignments come from sections in the textbook, while others do not.

Pathways Through Calculus Investigation 1 (Defining Quantities)    

Pathways Through Calculus Investigation 2 (Constant Rate of Change and Linearity)    

Pathways Through Calculus Investigation 3 (Average Rate of Change)    


Pathways Through Calculus Investigation 4 (Local Linearity)

Pathways Through Calculus Investigation 5 (Introduction to Limits)  

Pathways Through Calculus Investigation 6 (Computing with Limits) 


Pathways Through Calculus Investigation 8 (Instantaneous Rate of Change) 

Pathways Through Calculus Investigation 9a (What the Derivative Can Tell Us) 

Pathways Through Calculus Investigation 9b (What the Derivative Can Tell Us) 


Pathways Through Calculus Investigation 9c (The Mean Value Theorem) 

Pathways Through Calculus Investigation 10 (Introduction to Differentiation) 


Pathways Through Calculus Investigation 11 (Product and Quotient Rules) 

Pathways Through Calculus Investigation 12 (Differentiation with Trigonometric Functions) 


Pathways Through Calculus Investigation 13 (The Chain Rule) 

Pathways Through Calculus Investigation 14 (Applying the Chain Rule) 

Pathways Through Calculus Investigation 15 (The Derivative Tests) 


Pathways Through Calculus Investigation 16 (Optimization) 

Pathways Through Calculus Investigation 17 (Antidifferentiation) 


Pathways Through Calculus Investigation 18 (N-Point Accumulations) 

Pathways Through Calculus Investigation 19 (The Net Area Theorem)