York College of Pennsylvania
MAT272: Differential Equations
Fall 2022 Syllabus
Instructor
David Kaplan
LS-121
Email:
dkaplan@ycp.edu
Office Phone
717-815-1455
Office Hours
MW 5-6pm HUM15; T/H 3:30-5:00 LS121
MAT272.802 MW 6:30-8:10 HUM15
Welcome!
Differential equations techniques open up an entire world of problem solving capability, for problems commonly found in the applied technical fields. Using differential equations, we can model and find solutions to the most common occurring essential non-static problems in chemistry and engineering. We will learn how to work problems of these types: heating and cooling of buildings, chemical mixing problems, and mass-spring systems such as in the wheel well of ground vehicle. Along with basic differential equations techniques, we will learn the LaPlace transform technique commonly used in applications.
On the first day, the class will be divided into groups of four. Prior to each class, there are videos you will watch that outline the theory and techniques for each class.
At the beginning of each class, we will review the topics for each class that you learned from watching the relevant video(s). Then, each group will given a problem (or problems) to solve. You will write your solution on the board and each group will present their solution to the class.
Official YCP Information about Course
Differential Equations: MAT272:802
The course in Differential Equations covers the standard methods of solving ordinary differential equations and their applications to physics and electrical and mechanical engineering. Topics include methods for solving first-order differential equations; second and higher-order equations; numerical methods for non-linear differential equations; and series solutions. Prerequisite: MAT172.
Course Prerequisites
MAT172
Required Materials
Fundamentals of Differential Equations, Nagle, Saff, and Snider, 9th edition, Pearson, 2017, ISBN-13: 978-0- 321-97706- 9; ISBN-10: 0-321- 97706-8.
Additional items/resources
Videos: https://www.youtube.com/channel/UCAujW12T_yLer7Y9uXv3x-g/videos?sort=da&view=0&flow=list
The Canvas site has
· The detailed course calendar
· A set of online quizzes for every section you will take to ensure that you are making progress throughout the courses
· Any new or updated information about the course
For students to develop understanding and proficiency:
1. Solving first-order DEs and setting up and solving their associated applications
2. Solving second-order linear homogeneous and non-homogeneous DEs and setting up and solving their associated applications
3. Solving first-order DEs numerically using the MathCad language and the Euler, Improved-Euler methods
4. Setting up and solving systems of linear DEs and their associated applications, using matrix methods
5. With the LaPlace transform methods of solution and in setting up and solving associated applications
Here are the components that comprise your final course grade:
· 3 In-class Tests 80%
· Numerical Differential Equation Project 10%
· Homework presented at the board 10%
Homework and In-class Work.
Each class when we are not reviewing for a test, your group will solve homework problems and present the solution you have posted on the board to the class.
Final grades correspond to the following percentages:
4 (Excellent) = 92-100%
3.5 (Very Good) = 87-91%
3 (Good) = 80-86%
2.5 (Above Average) = 76-79
2 (Average) = 68-75%
1 (Below Average) = 60-67%
0 (Failure) 0-59%
4.0 (Excellent): This grade denotes accomplishment that is truly distinctive and decidedly outstanding. It represents a high degree of attainment and is a grade that demands evidence of originality, independent work, an open and discriminating mind, and completeness and accuracy of knowledge, as well as an effective use of the knowledge.
3.5 (Very Good): This grade denotes mastery of the subject matter. It represents very good achievement in many aspects of the work, such as initiative, serious and determined industry, the ability to organize work, and the ability to comprehend and retain subject matter and to apply it to new problems and contexts.
3 (Good): This grade denotes considerable understanding of the subject matter. It represents a strong grasp and clear understanding of the subject matter and the ability to comprehend and retain course content.
2.5 (Above Average): This grade denotes above average understanding of the subject matter. It represents a good grasp of the subject matter and the ability to comprehend and retain course content.
2 (Average): This grade denotes average understanding of the subject matter. It represents the grade that may be expected of a student of normal ability who gives the work a reasonable amount of time and effort.
**1 (Below Average): This grade denotes below average understanding of the subject matter. It represents work that falls below the acceptable standard.
**0 (Failure): This grade denotes inadequate understanding of the subject matter. It signifies an absence of meaningful engagement with the subject matter & that the student is not capable of doing or understanding the work or has made little or no effort to do so.
**In order to fulfill the general education requirement, students must pass 200-level FCOs with a minimum grade of 2.0. If a student earns a final course grade of less than 2.0, it means that the student has failed to complete enough work to demonstrate that they have mastered basic college level communication skills or that the student has not fulfilled the course requirements or policies outlined by the instructor in the syllabus. The student may repeat an FCO course for which less than a 2.0 was earned; it does not affect the student grade-point average.
You are expected to come to every class on time, having completed all assigned readings and homework, and to actively participate in all class activities. You can miss three classes with no penalty; each absence after that will lower your final course grade by one-half a grade point (e.g., four absences will reduce an 4.0 to a 3.5, five absences will reduce it to a 3.0, and so on). If you hit six absences (which equals two weeks of class), I will recommend that you drop the class.
Please do not be late. If you are more than twelve minutes late, I will consider you absent. Given that this class is very much a participation class, one in which significant time will be devoted to you and your peers presenting and discussing your ideas and work. Please show your peers respect and be on time.
If you know you are going to miss class ahead of time, please let me know so we can figure what you should do and by when. Unless we make other arrangements, you are responsible for whatever work is due, even if you are not in class. If you have a true, documentable emergency or illness that will keep you out of class at an extended time, contact me as soon as possible; I will ask for your documentation.
If you miss a class, it is your responsibility to contact your peers to find out what you missed.
You will have the opportunity to rework the errors on your exams by submitting revisions within one week after they are returned. This work will allow you to earn back 3-5 points of the points missed out of 100 points.
Students are encouraged to enhance their learning by meeting with the tutors and the study skills coaches in the Center for Teaching and Learning (CTL) and in the Writing Center. The CTL and Writing Center offers one-on-one sessions with peer and professional tutors who will provide feedback and suggestions for assignments in every course. Contact the CTL to make an appointment by calling 815-1216 or stopping by HUM Room 01.
If you will be absent, please submit any assignments electronically before class begins. If you are sick you are responsible for completing the work that your group completed and turning it to me electronically within one week after your return to class.
York College recognizes the importance of effective communication in all disciplines and careers. Therefore, students are expected to competently analyze, synthesize, organize, and articulate course material in papers, examinations and presentations. In addition, students should know and use communication skills current to their field of study, recognize the need for revision as part of their writing process, and employ standard conventions of English usage in both writing and speaking. Students may be asked to further revise assignments that do not demonstrate effective use of these communication skills.
While York College recognizes student need for educational and emergency-related technological devices such as laptops, mobile devices, cellular phones, etc., using them unethically or recreationally during class time is never appropriate. The College recognizes and supports the authority of faculty members to regulate in their classrooms student use of all electronic devices.
In accordance with the provisions of Section 504 of the Rehabilitation Act of 1973, and the Americans with Disabilities Act of 1990, York College and its faculty are happy to make reasonable accommodations for students with disabilities. If you are a student with a disability in need of classroom accommodations and have not already registered with Student Accessibility Services, please contact the office to discuss policies and procedures related to disability services and to establish the accommodations for which you are eligible.
York College of Pennsylvania, as an institution of higher education, serves to promote and sustain the creation, acquisition, and dissemination of knowledge. In order to fulfill this purpose, an environment of integrity, dependability and honesty must be maintained by all members of the York College community. Without a foundation based on intellectual honesty and integrity, the very ability to uphold the academic endeavors that York College strives to pursue is inhibited. The Spartan Oath embodies the expectation that all members of the York College community foster an environment of integrity and responsibility. Recognize that adhering to an ethical standard of honesty leads to professional, mature and responsible citizens, and enables society at large to trust our scholarship, research, and conferred degrees. Thus, each member of the York College community must be truthful, honest, personally and professionally responsible, and respect the intellectual contributions of others.
Engaging in academic dishonesty is a violation of the College academic integrity policy and is not tolerated at York College. Examples of academic dishonesty include, but are not limited to, cheating on assignments or examinations, plagiarism (i.e. passing off the words or ideas of someone else as your own work, without proper attribution), improper paraphrasing, fabricating research, falsifying academic documents, handing in material completed for another course, and submitting work not done independently (unless part of an explicitly collaborative project).
· When a faculty member believes a student has violated the Academic Integrity Policy, the faculty member is encouraged to discuss the incident in person with the student promptly, identifying the sanction he or she is going to apply. The faculty member should then reiterate the charge and sanction in writing to the student.
· The faculty member has full discretion to determine a suitable sanction, such as a 0 on the assignment in question, up to a course grade of 0. In the case of an egregious first offense, the faculty member may request that the Student Welfare Committee conduct a hearing and determine a sanction, which may involve academic probation, suspension, or dismissal from the College.
· The faculty member has ten days from the written notification to the student to report the incident to the Department Chair and Associate Provost of Academic Services. The faculty member must submit as part of the report: 1) a detailed description of the incident, 2) a course syllabus, 3) an assignment sheet or assignment instructions, 4) the assignment in question, and 5) supporting documentation, such as copied material. The documentation will be kept on file in the student permanent record.
· Students cannot withdraw from a course in which they have been accused of academic dishonesty, until the accusation is withdrawn by the faculty member, or is overturned by the Student Welfare Committee or the Associate Provost of Academic Services. Academic Integrity Procedure-Appeals
· Students who believe they have been unjustly charged or sanctioned have ten days after receiving written notification from their instructor regarding the incident to file an appeal with the Student Welfare Committee by submitting a formal letter to the Associate Provost of Academic Services.
· If an appeal is filed, the Student Welfare Committee will schedule a hearing which includes inviting the student and faculty member to attend to provide additional information or clarity regarding the incident. The Student Welfare Committee will then review the charge and/or sanction.
· If the Associate Provost of Academic Services determines that the incident of academic dishonesty is the second or subsequent offense of a student, he or she will provide written documentation to the student, faculty member, and Department Chair. The Student Welfare Committee will automatically conduct a hearing to review the charge and decide on an appropriate sanction: academic probation, suspension or dismissal from the College.
· Academic Services will receive written notification of the decision of the Student Welfare Committee. Students who are unsatisfied with the decision may submit a second and final written appeal to the Associate Provost of Academic Services within 72 hours of receiving notification of the decision of the Student Welfare Committee. All decisions made by the Associate Provost of Academic Services will be final.
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· Course Topics and Schedule
· Detailed course calendar on Moodle page.
I reserve the right to change this schedule; any changes will be announced and posted on Moodle.