Fundamentals of Calculus I Syllabus
Math 019, Section G (95359) Fall 2019

Logistical Information:
Instructor: Susan Ojala (pronounced O’ juh luh)
Office:  E-415 Innovation Hall
Phone:  Office: 802-656-4335; Cell: 802-279-3801
Email:  sojala@uvm.edu
Web Page:  www.uvm.edu/~sojala
Office Hours: Tuesdays, 1:30-2:30; Thursdays, 9-10 and 1:30-2:30, or by appointment (Tues/Thurs only, I am not on campus any other days)
Class Time:  T/TH 2:50-4:05, Lafayette Hall L102

Course Description: Fundamentals of Calculus I is the first course in our two-course applied calculus sequence. The follow-up course is Math 020—Fundamentals of Calculus II.

Fundamentals of Calculus I is an introduction to the calculus of functions of one variable. This will include an understanding of the concepts of limits, continuity, the definition of the derivative, the Fundamental Theorem of Calculus, techniques and applications of differentiation, basic integration including substitution, and assorted applications of integration. This course covers chapters 2-5 in the textbook. Topics will be presented with a level of depth and rigor appropriate for students pursuing degrees in business, economics, social and life sciences. Please speak to me or someone in the Department of Mathematics and Statistics if you are unsure if you are taking the correct calculus course.

The course will be presented primarily in a lecture-style format interspersed with occasional periods of active learning (students work on problems alone or in groups).

Learning Objectives:

After completing this course, the student will be able to:

• Understand what a limit is and to calculate limits using a variety of methods
• Determine the intervals where a function is continuous
• Understand that the derivative is the limit of the difference quotient as the difference in the x values approaches 0; and be able to demonstrate this graphically
• Compute the derivative using the difference quotient (algebraic method)
• Compute the derivative of polynomial function using the Power Rule
• Find derivatives of exponential and logarithmic functions
• Find derivatives of products, quotients and composite functions
• Use implicit differentiation for equations that cannot be solved for y
• Solve related rate problems
• Find local extrema using the first derivative

• Use the first and second derivative to determine where a function is increasing or decreasing and where a function is concave up or concave down
• Sketch graphs of a variety of functions using curve-sketching techniques
• Solve optimization problems
• Find antiderivatives of basic functions
• Determine the area under a curve using the definite integral
• Understand the Fundamental Theorem of Calculus and how it relates differentiation and integration
• Use the Fundamental Theorem of Calculus to solve problems

Anticipated Course Schedule:

The following schedule is anticipated, but some adjustments may be made as the course progresses.

Tuesdays	Thursdays
8/27 Welcome and 2.1	8/29 2.2
9/3 2.3	9/5 Quiz 1; 2.4 9/9 is add/drop deadline
9/10 2.5	9/12 2.6
9/17 Quiz 2; 2.7	9/19 3.1
9/24 3.2	9/26 Quiz 3; 3.3
10/1 3.4 and review for exam	10/3 First midterm exam
10/8 3.5	10/10 3.6
10/8 3.5	10/10 3.6
10/15 Quiz 4; 3.7	10/17 4.1
10/22 4.2	10/24 Quiz 5; 4.3 10/28 is last day to withdraw
10/29 4.4	10/31 4.5
11/5 Quiz 6; 4.6	11/7 5.1 and review for exam
11/12 Second midterm exam	11/14 5.2
11/19 5.3	11/21 Quiz 7; 5.4
11/26 Thanksgiving Break	11/28 Thanksgiving Break
12/3 5.5	12/5 Last class—Review for Final
	12/12 Final Exam 1:30—4:15

Required Course Materials:

Textbook: Calculus for Business, Economics, Life Sciences and Social Sciences, 14^th Edition, Barnett. Please note that you will need the MyMathLab Supplement that comes packaged with the textbook. You may wish to only purchase the MyMathLab access code which includes an e-book or electronic version of the textbook. The UVM Bookstore offers both options.

Important: You will need to purchase either a new book or the e-book with access code. Used books do not have access codes for the online homework program we will be using.

**Instructor Course ID for MyLab (register at www.pearson.com/mylab): ojala62952

Calculator: You will need to have a scientific or graphing calculator for this course. Cell phone calculators will not be allowed for quizzes or exams.

Grading Criteria:

The grading system for this course is as follows:

• MyMathLab homework assignments:  (20%)  Homework will be assigned after each class on the material covered that day and will be posted on Blackboard.  Homework will be discussed at the beginning of each class. You may complete homework after the due date, but it will result in a 20% grade reduction. At the end of the semester I will drop the two lowest homework grades.
• Quizzes: (25%)  Quizzes will be given generally every week and a half and will be announced in advance. If you have an excused absence you may set up another time to take the quiz that you missed. If you are not happy with your grade on a quiz you can talk with me about retaking it. You may not retake more than one quiz per day. No retakes for unexcused absences.

At the end of the semester I will drop the lowest quiz grade.

• Midterms:  (30%)  There will be two midterm exams, each worth 15% of your grade. All exams are closed notebook, but you may use a calculator. You may not retake a midterm exam.
• Final:  (25%)  A cumulative final exam will be given on December 12th from 1:30 to 4:15 p.m. in our classroom. All students must take the exam at the same time—do not ask to take the exam early; you will need to work your travel plans around this date.

Final grades for the course will be assigned per the following table:

A+	97-100	B+	87-89	C+	77-79	D+	67-69
A	93-96	B	83-86	C	73-76	D	63-66
A-	90-92	B-	80-82	C-	70-72	D-	60-62

Attendance & Classroom Expectations

I will take attendance during each class. A maximum of two excused absences is allowed. An excused absence is one in which you have notified me in advance of the absence and stated the reason for the absence. Any additional absences may negatively impact your overall course grade.

Students are expected to keep up with the online homework, to read the relevant sections in the textbook or e-book, and to ask for help when needed.

Turn off all electronic devices, cell phones, pagers, iPods, iPads, laptops, etc. during class. Do not text during class--it is disruptive to your classmates and disrespectful to the teacher.

Statement about Academic Integrity

UVM takes academic honesty very seriously and those standards will be enforced in this class. Offenses against the Code of Academic Integrity affect the entire university community. Any suspected violations of this code will be forwarded to the Center for Student Ethics and Standards for further investigation. Academic dishonesty includes not only “cheating”, but also fabrication, plagiarism and collusion. You are strongly encouraged to read the Code itself, which can be found at:

https://www.uvm.edu/policies/student/acadintegrity.pdf

Statement on Alcohol and Cannabis in the Academic Environment

As a faculty member, I want you to get the most you can out of this course. You play a crucial role in your education and in your readiness to learn and fully engage with the course material. It is important to note that alcohol and cannabis have no place in an academic environment. They can seriously impair your ability to learn and retain information not only in the moment you may be using, but up to 48 hours or more afterwards. In addition, alcohol and cannabis can:

· Cause issues with attention, memory and concentration

· Negatively impact the quality of how information is processed and ultimately stored

· Affect sleep patterns, which interferes with long-term memory formation

It is my expectation that you will do everything you can to optimize your learning and to fully participate in this course.

Statement on Students with Disabilities

In keeping with University policy, any student with a documented disability interested in utilizing accommodations should contact SAS, the office of Disability Services on campus.  SAS works with students and faculty in an interactive process to explore reasonable and appropriate accommodations, which are communicated to faculty in an accommodation letter.   All students are strongly encouraged to meet with their faculty to discuss the accommodations they plan to use in each course. A student's accommodation letter lists those accommodations that will not be implemented until the student meets with their faculty to create a plan. Contact SAS: A170 Living/Learning Center; 802-656-7753; access@uvm.edu; or www.uvm.edu/access

Statement on Religious Holidays

Students have the right to practice the religion of their choice. Each semester students should submit in writing to their instructors by the end of the second full week of classes their documented religious holiday schedule for the semester. An arrangement can then be made to make up the missed work.

Statement on Student Athletes

In order to be excused from classes, student athletes should submit appropriate documentation to the Professor in advance of all scheduling conflicts within the first two weeks of class. Those missing class are expected to submit make-up assignments within a reasonable time period.