Course Description for MA 137 (4 credits):

A first course in one-variable calculus. Derivatives and integrals of elementary functions (including trigonometric functions) with applications to the life sciences. Lecture, three hours; recitation, 2 hours per week. Students may not receive credit for MA 113 and MA 137.

Prereq: Math ACT of 27 or above, or math SAT of 620 or above, or a grade of C or better in MA 109 and MA 112, or a grade of C or better in MA 110, or appropriate scores score on math placement test, or consent of the department. Students who enroll in MA 137 based on their test scores should have completed a year of pre-calculus study in high-school that includes the study of the trigonometric functions.
Note: Math placement test recommended.
[Per Senate Rule 4.3.3, students will not be permitted to register for this course for a third time. To request an exception to this rule, visit https://math.as.uky.edu/lower-level-math-overrides.]

Course Outline:

We begin by introducing the notion of a limit, both for sequences and for function of a real variable. Limits are essential to defining derivatives and integrals. By the end of the semester students should know precise definitions of the derivative and the integral and understand the fundamental theorem of calculus which gives the relation between the derivative and the integral. We will illustrate the methods and ideas of calculus by studying several problems from biology. We will study the interpretation of the derivative as a rate of change, and model growth and declines of populations.

1. Chapter 1: Preview and review
       Preliminaries, elementary Functions, and graphing
   
2. Chapter 2: Discrete time models, sequences, and difference equations
       Exponential growth and decay
       Sequences
       More population models
   
3. Chapter 3: Limits and continuity
       Limits
       Continuity
       Limits at infinity
       The Sandwich Theorem and some trigonometric limits
       Properties of continuous functions
   
4. Chapter 4: Differentiation
       Formal definition of the derivative
       The power rule, the basic rules of differentiation, and the derivatives of polynomials
       The product and quotient rules, and the derivatives of rational and power functions
       The chain rule and higher derivatives
       Derivatives of trigonometric functions
       Derivatives of exponential functions
       Derivatives of inverse and logarithmic functions
       Approximations and local linearity
   
5. Chapter 5: Applications of differentiation
       Extrema and the Mean Value Theorem
       Monotonicity and Concavity
       Extrema, inflection points, and graphing
       Optimization
       L'Hospital's rule
       Difference equations: stability
       Antiderivatives
   
6. Chapter 6: Integration
       The definite integral
       The Fundamental Theorem of Calculus
       Applications of integration

After completing this course, students will be able to:

1. apply the methods of calculus in new contexts to solve unfamiliar problems;
2. compute fluently;
3. write correct justifications for their solutions to problems.

Grading:

You will be able to obtain a maximum of 500 points in this class, divided as follows:

       Three 2-hour exams, 100 points each
       Final exam, 100 points
       Homework, 40 points
       Quizzes, 40 points
       Final project, 20 points

Your final grade for the course will be based on the total points you have earned as follows:

       A: 450-500
       B: 400-449
       C: 350-399
       D: 300-349
       E: 0-299

The grading scale might be adjusted at the end of the semester. You will be guaranteed the above letter grade if your score falls within the given range, but the minimum score for each letter grade might be lowered.

Mid-term grades will be posted in myUK by the deadline established in the Academic Calendar.

Calculator:

You may use calculators on the homework and exams. You may not use any machine that has symbolic manipulation capabilities of any sort on any exam. This precludes the use of TI-89, TI-Nspire CAS, HP 48, TI 92, Voyage 200, Casio Classpad or laptop computer. Also, you may not use your mobile phone, iPhone or Blackberry on any exam even if you forget your regular calculator. If it runs Android, GEOS, iOS, Linux, MacOS, PalmOS, Ubuntu, Unix, Windows, or similar operating systems, you cannot use it on the exams. Bald answers will receive little or no credit. A bald answer is one that is simply the output of a calculator routine or a single numerical or symbolic expression that has no supporting work.

Final Project:

As part of the Gen Ed requirements, you are required to submit a final project by the end of the semester (see Final Project for details). Your project paper will be worth at most 20 points. These points will be added to the raw scores (homework, quizzes, midterms and final grades) that will determine your final letter grade.

Policies:

Attendance and Excused Absences. Attendance in MA137 is strongly recommended. Regular attendance greatly helps you keep up with the coursework and helps to give important structure to the course. Be on time and remain until dismissed. Do not leave in the middle of class. Whenever possible, please notify your instructor of absences prior to class.
Senate Rules 5.2.5.2.1 defines the following as acceptable reasons for excused absences: (a) significant illness, (b) death of a family member, (c) trips for members of student organizations sponsored by an educational unit, trips for University classes, and trips for participation in intercollegiate athletic events, (d) major religious holidays, (e) interviews for graduate/professional school or full-time employment post-graduation, and (f) other circumstances found to fit "reasonable cause for nonattendance" by the instructor of record. Students should notify the professor of absences prior to class when possible.
If a student's total EXCUSED absences exceed 1/5 (or 20%) of the required interactions for the course, the student shall have the right to request and receive a "W," or the Instructor of Record may award an "I" for the course if the student declines a "W." (Senate Rules 5.2.5.2.3.1)

Religious Observances. Students anticipating an absence for a major religious holiday are responsible for notifying the instructor in writing of anticipated absences due to their observance of such holidays. Senate Rules 5.2.5.2.1(4) requires faculty to include any notification requirements within the syllabus. If no requirement is specified, two weeks prior to the absence is reasonable and should not be given any later. Information regarding major religious holidays may be obtained through the Ombud's website or calling 859-257-3737.

Verification of Absences. Students may be asked to verify their absences in order for them to be considered excused. Senate Rule 5.2.5.2.1 states that faculty have the right to request appropriate verification when students claim an excused absence due to: significant illness; death in the household, trips for classes, trips sponsored by an educational unit and trips for participation related to intercollegiate athletic events; and interviews for full-time job opportunities after graduation and interviews for graduate and professional school. (Appropriate notification of absences due to University-related trips is required prior to the absence when feasible and in no case more than one week after the absence.)

Make-Up Work. Students missing any graded work due to an excused absence are responsible: for informing the Instructor of Record about their excused absence within one week following the period of the excused absence (except where prior notification is required); and for making up the missed work. The instructor must give the student an opportunity to make up the work and/or the exams missed due to the excused absence, and shall do so, if feasible, during the semester in which the absence occurred. In particular, if you have university excused absences or have university-scheduled class conflicts with uniform examinations you may arrange with their instructor to take the exam at an alternate time. Generally these make-up exams will be scheduled on the day of or on the day after the regularly scheduled exam. Work-related conflicts are neither university excused absences nor university-scheduled absences.
The instructor shall provide the student with an opportunity to make up the graded work and may not simply calculate the student's grade on the basis of the other course requirements, unless the student agrees in writing. According to SR 5.2.5.2.2, if a student adds a class after the first day of classes and misses graded work, the instructor must provide the student with an opportunity to make up any graded work.

Excused Absences for Military Duties. If a student is required to be absent for one-fifth or less of the required course interactions (e.g., class meetings) due to military duties, the following procedure (per SR 5.2.5.2.3.2) shall apply:

• Once a student is aware of a call to duty, the student shall provide a copy of the military orders to the Director of the Veterans Resource Center. The student shall also provide the Director with a list of his/her courses and instructors.
• The Director will verify the orders with the appropriate military authority, and on behalf of the military student, notify each Instructor of Record via Department Letterhead as to the known extent of the absence.
• The Instructor of Record shall not penalize the student's absence in any way and shall provide accommodations and timeframes so that the student can make up missed assignments, quizzes, and tests in a mutually agreed upon manner.

Classroom behavior. Electronic devices such as mobile phones, laptops and tablets should be put away or used only as part of class activities during lectures and recitations. Mobile phones, laptops, and computers may not be used during exams.

Accommodations Due to Disability. In accordance with federal law, if you have a documented disability that requires academic accommodations, please inform your instructor as soon as possible during scheduled office hours. In order to receive accommodations in a course, you must provide your instructor with a Letter of Accommodation from the Disability Resource Center (DRC). The DRC coordinates campus disability services available to students with disabilities. It is located on the corner of Rose Street and Huguelet Drive in the Multidisciplinary Science Building, Suite 407. You can reach them via phone at (859) 257-2754, via email (drc@uky.edu) or visit their website (uky.edu/DisabilityResourceCenter). DRC accommodations are not retroactive and should therefore be established with the DRC as early in the semester as is feasible. DRC requires at least a seven day notice to arrange for accomodations.

Statement on Diversity, Equity, and Inclusion (DEI). The University of Kentucky is committed to our core values of diversity and inclusion, mutual respect and human dignity, and a sense of community (Governing Regulations XIV). We acknowledge and respect the seen and unseen diverse identities and experiences of all members of the university community (https://www.uky.edu/regs/gr14). These identities include but are not limited to those based on race, ethnicity, gender identity and expressions, ideas and perspectives, religious and cultural beliefs, sexual orientation, national origin, age, ability, and socioeconomic status. We are committed to equity and justice and providing a learning and engaging community in which every member is engaged, heard, and valued.
We strive to rectify and change behavior that is inconsistent with our principles and commitment to diversity, equity, and inclusion. If students encounter such behavior in a course, they are encouraged to speak with the instructor of record and/or the Office of Institutional Equity and Equal Opportunity. Students may also contact a faculty member within the department, program director, the director of undergraduate or graduate studies, the department chair, any college administrator, or the dean. All of these individuals are mandatory reporters under University policies.

Non-discrimination and Title IX policy. In accordance with federal law, UK is committed to providing a safe learning, living, and working environment for all members of the University community. The University maintains a comprehensive program which protects all members from discrimination, harassment, and sexual misconduct. For complete information about UK's prohibition on discrimination and harassment on aspects such as race, color, ethnic origin, national origin, creed, religion, political belief, sex, and sexual orientation, please see the electronic version of UK's Administrative Regulation 6:1 ("Policy on Discrimination and Harassment") (https://www.uky.edu/regs/ar6-1). In accordance with Title IX of the Education Amendments of 1972, the University prohibits discrimination and harassment on the basis of sex in academics, employment, and all of its programs and activities. Sexual misconduct is a form of sexual harassment in which one act is severe enough to create a hostile environment based on sex and is prohibited between members of the University community and shall not be tolerated. For more details, please see the electronic version of Administrative Regulations 6:2 ("Policy and Procedures for Addressing and Resolving Allegations of Sexual Assault, Stalking, Dating Violence, Domestic Violence, and Sexual Exploitation") (https://www.uky.edu/regs/ar6-2). Complaints regarding violations of University policies on discrimination, harassment, and sexual misconduct are handled by the Office of Institutional Equity and Equal Opportunity (Institutional Equity), which is located in 13 Main Building and can be reached by phone at (859) 257-8927. You can also visit Institutional Equity's website (https://www.uky.edu/eeo).
Faculty members are obligated to forward any report made by a student related to discrimination, harassment, and sexual misconduct to the Office of Institutional Equity. Students can confidentially report alleged incidences through the Violence Intervention and Prevention Center (https://www.uky.edu/vipcenter), Counseling Center (https://www.uky.edu/counselingcenter), or University Health Service (https://ukhealthcare.uky.edu/university-health-service/student-health).
Reports of discrimination, harassment, or sexual misconduct may be made to Institutional Equity here.

Academic Honesty:

Cheating or plagiarism is a serious offense and will not be tolerated. It will be thoroughly investigated, and might lead to failure in the course or even to expulsion from the university. See http://www.uky.edu/StudentAffairs/Code/part2.html (Sections 6.3.1 and 6.3.2) for information on cheating, plagiarism, and penalties.
A summary of recent changes to rules on cheating can be found at the Academic Ombud website:
http://www.uky.edu/Ombud

Inclement Weather Policy. The University of Kentucky Severe Weather Policy can be found at http://www.uky.edu/PR/News/severe_weather.htm. The UK Infoline at (859) 257-5684, UK TV Cable Channel 16 and 19, or the UK Web site are the best places to find the most up-to-date situation. If you feel that travel during inclement weather would be hazardous, then try to inform your instructor as soon as safely possible. You will be given the opportunity to make up any work missed or due on that day. As always, each student is responsible for any work missed and will be expected to get the notes from another student or from the web.