**MATH 1910 COURSE SYLLABUS**

Fall 2017

COURSE MATERIALS PROVIDED BY INSTRUCTOR

*Optional
Text --- 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. I will provide all needed course materials on my webpage (http://capone.mtsu.edu/jhart). You are expected to bring to class a printed copy of each day's investigation.

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

- explore the notion of a limit from a computational and motivational perspective
- develop a conceptual understanding of the derivative process for functions and develop fluency in computing derivatives
- work with applications of the derivative
- explore the notion of the definite and indefinite integral from a computational and motivational perspective
- develop some facility working with and computing definite and indefinite integrals (these topics are thoroughly explored in Calculus II).

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

**TI
Instruction Manual****s****:** http://education.ti.com/en/us/guidebook/search

**TI
84 Tutorial:**
http://www.atomiclearning.com/ti_84

**TI-83 and TI-84 Tutorial:**
http://hotmath.com/graphing_calculators/ti84_movie_index.html

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

- breaking big problems into small, simple steps
- learning problem solving "rubrics" and patterns
- checking the reasonableness of your solutions

**
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 course materials, 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 majority of Investigations 1
- 28 provided on my webpage. Most investigations come with a short
homework assignment. You are expected to work every problem in each
homework assignment. For your convenience, an answer key is provided for
each assignment. 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. For the most part, I gather enough summative
data on you to be confident your numeric score accurately reflects your class
performance; however, rare exceptions do occur. For these exceptions, I
reserve the right to assign a grade of A-, B+/-, C+/- , or
D+/-. A grade of A- or B+ might be assigned
to scores between 89.0 and 91.0; likewise a grade of B- or C+ might
be assigned to scores between 79.0 and 81.0, and a C- or D+ might
be assigned to scores between 69.0 and 71.0. Assigning these grades is a rare
occurrence and depends on exceptional individual circumstances. There is
no guarantee you will receive this grade if your score falls in one of these
ranges.

**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.**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.**Quizzes:**There will be a very brief homework quiz after most investigations. These quizzes will consist of one problem taken from the homework assignment (or very similar to a problem in the assignment). You will be given about five minutes to work the problem (you are expected to have worked all of the homework problems prior to the quiz). Homework quizzes will be administered one or two days after class completion of an investigation and will count 15% of your final grade.**Algebra Review:**Algebra skills are crucial to this course. You will be given a short algebra readiness test at the beginning of the semester. If you score 80% or better on the exam, you are done with the algebra review. However, if you score below 80%, you will be required to complete the eight-unit algebra review posted on my webpage and then retake the exam. You must complete the review no later than Week 7 of the semester; if you do not, then you will not be able to retake the exam. To help you move through the review, there is a mandatory quiz at the end of each unit. A student assistant will be available outside of class twice a week to assist you as work through the review, and algebra manipulation will be kept to a minimum in class until midterm. This assistant will administer the quizzes when you are ready to take them. At midterm, the assistant will administer a second algebra skills exam; your score on this exam will replace the score from the first exam. There will be a two-week window for you to retake the exam; you may take the second exam only after you at score least 75% on each unit quiz. You may take a version of each unit quiz more than once. (If you scored above 80% on the first exam, you can opt to work through the review and retake the exam as well.)

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) **

where

- E denotes your cumulative exam score, and e denotes the highest cumulative exam score in the class
- F denotes your final exam score, and f denotes the highest final exam score in the class
- Q denotes your cumulative quiz score, and q denotes the highest cumulative quiz score in the class

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. If you don't follow this procedure, you will not be able to make up
the graded activity. *

*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.

**THERE ARE NO OPPORTUNITIES FOR EXTRA CREDIT IN THIS COURSE. **

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:**

**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 dacemail@mtsu.edu.

**Title IX (Harrassment)**:
If you believe you have been
harrassed, disciminated against, or have been the victim of sexual assault,
dating or domestic violence, or stalking, please contact a Title IX Deputy
Coordinator at 615-898-2185 or 615-898-2750 or visit http://www.mtsu.edu/titleix/
for resources. As a faculty member, I am legally obligated to share
reports of such incidents with the MTSU Title IX coordinator.

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

**Important dates:**

September 10 --- Last day to drop without a grade November 1 --- Last day to drop with a "W"

October 14 - 17 --- Fall Break November 22 - 25 --- Thanksgiving Break

December 7 --- Study Day (No Classes) December 8 - 14 --- Finals Week

**FINAL EXAM ---
Wednesday December 13 3:00 - 5:00 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. **

**Pathways Through Calculus
Investigation 1 (Defining Quantities) **

**Pathways Through
Calculus Investigation 2 (Functions) **

**Pathways Through
Calculus Investigation 3 (Limits) **

**Pathways Through
Calculus Investigation 4 (Classifying Discontinuities)**

**Pathways Through
Calculus Investigation 5 (Linear Functions) **

**Pathways Through
Calculus Investigation 6 (Average Rate of Change) **

**Pathways Through
Calculus Investigation 7 (Applying Average Rate of Change) **

**EXAM
NUMBER I**

**Pathways Through
Calculus Investigation 8 (The Derivative) **

**Pathways Through
Calculus Investigation 9 (Differentiability) **

**Pathways Through
Calculus Investigation 10 (Local Linearity) **

**Pathways Through
Calculus Investigation 11 (Mean Value Theorem) **

**Pathways Through
Calculus Investigation 12 (Interpreting Derivatives) **

**Pathways Through
Calculus Investigation 13 (The Second Derivative) **

**Pathways Through
Calculus Investigation 14 (Sum and Constant Multiple Rules) **

**EXAM
NUMBER II**

**Pathways Through
Calculus Investigation 15 (Exponential Functions) **

**Pathways Through
Calculus Investigation 16 (Sine and Cosine Functions) **

**Pathways Through
Calculus Investigation 17 (The Product Rule) **

**Pathways Through
Calculus Investigation 18 (The Quotient Rule) **

**Pathways Through
Calculus Investigation 19 (Average Rate of Change for Composite Functions) **

**Pathways Through
Calculus Investigation 20 (The Chain Rule) **

**Pathways Through
Calculus Investigation 21 (Implicit Differentiation) **

**EXAM
III**

**Pathways Through
Calculus Investigation 22 (Related Rates) **

**Pathways Through
Calculus Investigation 23 (Optimization) **

**Pathways Through
Calculus Investigation 24 (Antidifferentiation) **

**Pathways Through
Calculus Investigation 25 (Substitution) **

**Pathways Through
Calculus Investigation 26 (Net Area) **

**Pathways Through
Calculus Investigation 27 (Riemann Sums) **

**Pathways Through
Calculus Investigation 28 (The Net Area Theorem) **

**EXAM
IV**