MAT284 (Business Calculus) Syllabus PDF

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MAT284 (Business Calculus) Syllabus and Course Descriptions...

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Departmental Syllabus: MAT 284 (Business Calculus) Spring 2022 This is the common syllabus for MAT 284 sections M100, M200, M300. Sections & Instructors: Class # 30814 32516 32517

Section SEC-M100 SEC-M200 SEC-M300

Days & Times MWF 9:30AM – 10:25AM TuTh 9:30AM – 10:50AM TuTh 12:30PM – 1:50PM

Room Stolkin Auditorium, Physics Grant Auditorium, Falk Gifford Auditorium, HBC

Instructor L. Kovalev M. Alan M. Alan

M100 instructor & course supervisor: Leonid Kovalev, email: [email protected] M200 & M300 instructor: Muhammed Alan, email: [email protected] Each recitation instructor will provide their own contact information. Contact information (all math faculty and TAs) can be found at: o https://thecollege.syr.edu/mathematics/mathematics-people/ Each section lecture instructor may provide additional information for their individual section(s). Please make sure that you are familiar with both the common syllabus as well as your section specific information. • • • •

Please inform your instructor of any problems that you are having with the course. Problems that are not satisfactorily resolved with your instructor should be brought to the attention of the course supervisor immediately. Course Description: MAT 284 Business Calculus (4 credits). One-variable differential and integral calculus. Applications to business and economics. MAT 284 may not be taken for credit after successful completion of MAT 285 or MAT 295. Liberal Arts Core: The sequence MAT 183–284, taken in either order, satisfies the Quantitative Skills requirement of the Liberal Arts Core in the College of Arts and Sciences. Recitations: Each student enrolled in a lecture section must also be enrolled in a recitation section. Recitation instructors will go over homework problems in the recitations and that is the primary place to get questions answered. You must attend the recitation for which you are registered. Switching recitation sections is not allowed unless it is done through MySlice. Mathematics Prerequisite: Although there are no formal prerequisites, knowledge of pre-calculus material at the level of MAT 194 is essential for success in this course. In particular, the facility with solving linear and quadratic equations, factoring and multiplying polynomials, and manipulating polynomial, rational, exponential, and logarithmic functions are essential. Textbooks: Introductory Mathematical Analysis by Haeussler, Paul, and Wood, 13th ed. Pearson, ISBN: 9780321643728 (Can substitute custom edition for SU. ISBN: 978-1323262030). Only the textbook is required. Used copies are fine. The course will cover most of chapters 1–4 and 10–14. Calculator: A TI-83 or TI-84 calculator is required. No other graphing calculators, e.g., TI-Nspire with/or without TI-84 keypad, are to be used on tests or quizzes. Further, calculators are not to be shared during exams and quizzes. Less powerful non-graphing calculators may also be used.

Departmental Syllabus: MAT 284 (Business Calculus) Spring 2022

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Exams: There will be 2-3 midterm examinations (2 in TuTh sections, 3 in MWF section), and a cumulative (comprehensive) final exam. The specific dates of the midterm exams for each section will be decided and announced by the lecture instructor at the beginning of the semester. Bring your SUID card to every exam: the instructor will check the IDs. How much is covered by each exam may differ from section to section. Your instructor will make clear what topics will be covered on each exam. Final Exam: The final exam will be cumulative and comprehensive. All students must take the final exam at the scheduled time which will be during the mathematics final exam block on Wednesday May 11, 2022. There will be no exceptions, and so you should not make any other plans on Wednesday May 11, 2022 before 2:30 p.m. Make-up Policy: A missed exam will count as a zero unless it is due to a documented religious observance, University-sponsored event, or documented emergency. For religious observances and for Universitysponsored events, this documentation must be submitted in advance. For emergencies, you must present documentation from a physician or from the Dean’s Office as soon as you are able to resume attending classes. In such cases, at instructor’s discretion, you will either be given an opportunity to take an alternate exam, or to have the final exam counted in place of the missed exam. Please consult with your course instructor. Quizzes: Starting from the second week of classes, there will be a quiz in most recitation meetings. If your absence is excused, the missed quiz will be exempted with no penalty. In addition, the lowest quiz score will be dropped. Homework: Homework will be done online using WeBWorK, an open-source homework system. The number of attempts is unlimited. Problems can be done in any order. You do not have to do them all at once. Two lowest WeBWorK scores will be dropped. Your instructor will announce the due dates of online homework. WeBWorK access information: • Go to https://webwork.syr.edu/ • Click on the class name “MAT_284_Spring_2022_xxxx” (depending on your lecture instructor's last name). • Your username is your NetID in lower case letters (for example, “jqpublic”). • Your password is initially set to be your 9-digit SUID (do not include the 10th digit on the actual ID card). You should change it after logging in for the first time. Also, note that even if you used WeBWorK before for another course, the password is reset to the 9-digit student id number. Extra WeBWorK Credit: You will receive 33% extra credit for correct answers submitted at least 7 days (168 hours) before the due date. This will be handled by setting full credit at 75%, so any score over 75% contains extra credit. In effect, your WeBWorK score will be multiplied by 4/3 at the end of semester. No Homework Extensions: No homework extension will be given in any circumstances. If you have a valid excuse, you may be exempted from that homework, as long as your excuse covers the entire homework period – not just the due date only. In particular, do not wait until the due date to do your homework. “Internet problems,” “Broken laptops,” “WeBWorK down on due date,” etc. are not valid excuses. However, if there is a persistent WeBWorK Server problem which is longer than a day (24 hours), then homework due time may be changed.

Departmental Syllabus: MAT 284 (Business Calculus) Spring 2022

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Grading: Your final grade will be based on midterm exams (48% total), final exam (27%), weekly quizzes (15%), and homework (10%). Final letter grades will be given according to the following scale: Raw Grade 93 ≤ x ≤ 100 90 ≤ x < 93 87 ≤ x < 90 83 ≤ x < 87 80 ≤ x < 83

Letter Grade A AB+ B B-

Raw Grade x 77 ≤ x < 80 73 ≤ x < 77 70 ≤ x < 73 60 ≤ x < 70 0 ≤ x < 60

Letter Grade C+ C CD F

Attendance: You are expected to attend every class, every exam, and the final exam. If you miss a class, it is your responsibility to obtain a copy of the lecture notes for that class from another student. You are also responsible for any announcements about changes to the course schedule, the exam schedule, or the course requirements that were made during that class. Available Student Assistance: Your lecture instructor and your recitation instructor will hold regular office hours. In addition, the Department of Mathematics offers regular free math and calculus clinics, which will be set up by the second week of the semester. A schedule of the clinics will be available online at math.syr.edu. You should visit the office hours of your recitation instructor or your class instructor for questions requiring explanations about problems, concepts, etc.; such questions cannot be taken care of by email. Free tutoring for MAT 284: I encourage you to attend the free small-group tutoring sessions for MAT 284 available through the Center for Learning and Student Success (CLASS). Several tutoring sessions for MAT 284 will be offered each week. The tutors will be trained undergraduate and graduate students who have access to our course information and can help you study efficiently and effectively. Tutoring sessions will be geared to each week's assignments. Visit https://myt.syr.edu/ to sign up. Academic Integrity: Syracuse University’s Academic Integrity Policy reflects the high value that we, as a university community, place on honesty in academic work. The policy holds students accountable for the integrity of all work they submit and for upholding course-specific, as well as university-wide, academic integrity expectations. The policy governs citation and use of sources, the integrity of work submitted in exams and assignments, and truthfulness in all academic matters, including course attendance and participation. The policy also prohibits students from: 1) submitting the same work in more than one class without receiving advance written authorization from both instructors and, 2) using websites that charge fees or require uploading of course materials to obtain exam solutions or assignments completed by others and present the work as their own. Under the policy, instructors who seek to penalize a student for a suspected violation must first report the violation to the Center for Learning and Student Success (CLASS). Students may not drop or withdraw from courses in which they face a suspected violation. Instructors must wait to assign a final course grade until a suspected violation is reviewed and upheld or overturned. Upholding Academic Integrity includes abiding by instructors’ individual course expectations, which may include the protection of their intellectual property. Students should not upload, distribute, or otherwise share instructors’ course materials without permission. Students found in violation of the policy are subject to grade sanctions determined by the course instructor and non-grade sanctions determined by the School or College where the course is offered, as described in the Violation and Sanction Classification Rubric. Students are required to read an online summary of the University’s academic integrity expectations and provide an electronic signature agreeing to abide by them twice a year during pre-term check-in on MySlice

Departmental Syllabus: MAT 284 (Business Calculus) Spring 2022

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The Violation and Sanction Classification Rubric establishes recommended guidelines for the determination of grade penalties by faculty and instructors, while also giving them discretion to select the grade penalty they believe most suitable, including course failure, regardless of violation level. Any established violation in this course may result in course failure regardless of violation level. Related link: https://class.syr.edu/academic-integrity/policy/ Student Mental Health: Mental health and overall well-being are significant predictors of academic success. As such it is essential that during your college experience you develop the skills and resources effectively to navigate stress, anxiety, depression, and other mental health concerns. Please familiarize yourself with the range of resources the Barnes Center provides (https://ese.syr.edu/bewell/) and seek out support for mental health concerns as needed. Counseling services are available 24/7, 365 days, at 315443-8000. Use of Class Materials and Recordings: Original class materials (handouts, assignments, tests, etc.) and recordings of class sessions are the intellectual property of the course instructor. You may download these materials for your use in this class. However, you may not provide these materials to other parties (e.g., web sites, social media, and other students) without permission. Doing so is a violation of intellectual property law and of the student code of conduct. Discrimination or Harassment: Federal and state law, and University policy prohibit discrimination and harassment based on sex or gender (including sexual harassment, sexual assault, domestic/dating violence, stalking, sexual exploitation, and retaliation). If a student has been harassed or assaulted, they can obtain confidential counseling support, 24-hours a day, 7 days a week, from the Sexual and Relationship Violence Response Team at the Counseling Center (315-443-8000, Barnes Center at The Arch, 150 Sims Drive, Syracuse, New York 13244). Incidents of sexual violence or harassment can be reported non-confidentially to the University’s Title IX Officer (Sheila Johnson Willis, 315-443-0211, [email protected], 005 Steele Hall). Reports to law enforcement can be made to the University’s Department of Public Safety (315-443-2224, 005 Sims Hall), the Syracuse Police Department (511 South State Street, Syracuse, New York, 911 in case of emergency or 315-435-3016 to speak with the Abused Persons Unit), or the State Police (844-845-7269). I will seek to keep information you share with me private to the greatest extent possible, but as a professor I have mandatory reporting responsibilities to share information regarding sexual misconduct, harassment, and crimes I learn about with the University’s Title IX Officer to help make our campus a safer place for all. Religious Observances Policy: Syracuse University’s Religious Observances Policy recognizes the diversity of faiths represented in the campus community and protects the rights of students, faculty, and staff to observe religious holy days according to their tradition. Under the policy, students are provided an opportunity to make up any examination, study, or work requirements that may be missed due to are religious observance provided they notify their instructors before the end of the second week of classes. An online notification process is available through MySlice (Student Services → Enrollment → My Religious Observances) from the first day of class until the end of the second week of classes. Students with Disabilities: Syracuse University values diversity and inclusion; we are committed to a climate of mutual respect and full participation. There may be aspects of the instruction or design of this course that result in barriers to your inclusion and full participation in this course. I invite any student to contact me to discuss strategies and/or accommodations (academic adjustments) that may be essential to your success and to collaborate with the Center for Disability Resources (CDR) in this process.

Departmental Syllabus: MAT 284 (Business Calculus) Spring 2022

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If you would like to discuss disability-accommodations or register with CDR, please visit their website (https://disabilityresources.syr.edu). Please call (315) 443-4498 or email [email protected] for more detailed information. The CDR is responsible for coordinating disability-related academic accommodations and will work with the student to develop an access plan. Since academic accommodations may require early planning and generally are not provided retroactively, please contact CDR as soon as possible to begin this process. Making arrangements with CDR takes time. Please do not wait until just before the first exam. Learning Goals: Students will be expected to • • • •

use and understand basic mathematical notation; select and apply an appropriate mathematical model for a given business/ economics problem; do hand calculations accurately and appropriately; and do calculations with the aid of appropriate hardware and/or software.

Tips for success in this course: •

• • • • •

It is essential that you understand how to solve all the assigned problems. Once you understand how to solve a problem, write your solution down neatly and in full detail with explanations that make your reasoning clear. Don't fall behind. If you are having difficulties keeping up with the material, see me immediately to discuss the problem. Take advantage of office hours (or of instant messaging for quick questions). Discussing problems with a classmate is very useful. Questions in class and recitations are strongly encouraged. Expect to work hard. Don't get discouraged if you find some of the material difficult. Be persistent and patient.

Important dates Dates Monday, February 14 Sunday, March 13 – Sunday, March 20 Tuesday, April 19 Wednesday, May 4 Wednesday, May 11

Deadline Drop Deadline & Religious Observance Notification Deadline Spring Break Withdrawal Deadline Last day of classes Final exam

Departmental Syllabus: MAT 284 (Business Calculus) Spring 2022

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Topics and practice problems from the textbook Topic Applications of equations Applications of inequalities

Section 1.1 1.3

Textbook Problems 11, 17, 29, 33, 40 1, 3, 5, 7, 9

Functions Special functions Combinations of functions Graphs in rectangular coordinates Lines Applications and linear functions Applications of systems of equations Exponential functions Logarithmic functions Properties of logarithms

2.1 2.2 2.3 2.5 3.1 3.2 3.6 4.1 4.2 4.3

5, 13, 23, 31, 39 1, 3, 11, 32, 33 3, 7, 11, 15, 17 3, 9, 16, 18, 39 23, 27, 39, 55, 61 5, 15, 17, 21, 23 1, 9, 17, 19, 21 3, 7, 9, 11 3, 9, 19, 31, 59 5, 21, 35, 45, 47

Limits More on limits: one-sided, at infinity Continuity Derivatives Rules for derivatives Derivative as a rate of change Product rule and quotient rule Chain rule Derivatives of logarithmic functions

10.1 10.2 10.3 11.1 11.2 11.3 11.4 11.5 12.1

3, 11, 15, 25, 33 13, 21, 23, 33, 41 1, 5, 9, 12, 25 3, 5, 7, 12, 15 17, 25, 33, 45, 47 13, 19, 21, 23, 30 3, 15, 21, 27, 33 1, 7, 11, 19, 25 3, 5, 11, 25, 43

Derivatives of exponential functions Elasticity of demand Higher-order derivatives Relative extrema Absolute extrema on a closed interval The second-derivative test Applied maxima and minima Indefinite integral Integration with initial conditions

12.2 12.3 12.7 13.1 13.3 13.4 13.6 14.2 14.3

3, 5, 11, 13, 25 3, 5, 15, 17, 19 1, 3, 5, 9, 11 1, 3, 35, 57, 71 7, 9, 29, 35, 63 3, 5, 8 17, 19, 27, 32, 33 3, 5, 9, 15, 21 1, 11, 13, 15, 21

Departmental Syllabus: MAT 284 (Business Calculus) Spring 2022

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