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Section: 31355
Time: 9:50 - 10:50 am Days: Daily Room: Jabara Building (JB) 336 |
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Instructor Information:
Instructor: Justin M. Ryan
Office: Jabara Building (JB) 333
Phone: (316) 978 - 3958
Email: ryan@math.wichita.edu
Webpage: http://www.geometerjustin.com
Office Hours: 8:00 - 8:40 am and 10:50 - 11:30 am, Tuesdays and Thursdays
Basic Course Information
Prerequisites:Math 243 with a grade point of 2.000 or better, or departmental consent.
Course Description:
A study of first order equations including separation of variables and exact equations, second order equations including the general theory of initial value problems, constant coefficients, undetermined coefficients, variation of parameters and special methods of solution using power series and the Laplace transform methods. A standard course in differential equation for students in the sciences and engineering.
Required Resources:
The main reference for this course is:
Elementary Differential Equations, 11th edition, Boyce, DiPrima, and Meade, John Wiley & Sons, Inc., 2017.
Class Protocol:
Attendance is required, but will not be factored into students' grades. If students are not present, they will not be able to complete the activities that correspond to that day's discussion and work in class. Students are asked to be on time, and to notify the instructor if they will be absent. They are asked to observe common norms of civility in class and in interactions with the instructor and with classmates outside of class.
Detailed Course Information
Course Content:Graded coursework will cover most of Chapters 1-6 and small sampling of Chapter 8 of the required text listed above.
Assignments and Coursework:
The coursework for this class will be divided into four categories.
Recommended Exercises (0%):
For each section of the book that we cover, there is a list of recommended exercises (or RE). The list of all RE for this course can be found near the end of this syllabus. There is also a list of RE for each section at the end of each section's lecture notes. These exercises will never be collected nor graded, but success in this course will depend heavily on their completion.
Good Problems (70%):
There will be in-class quizzes (called Good Problems) every Friday, except for the last week of the semester. The Good Problems will consist of problems similar to the RE for the sections covered in class that week. Each Good Problem set will be worth 10% of your final grade.
Numerical Project (10%):
There will be a project using Excel or a similar program/language to approximate solution curves to first order initial value problems. The project is designed to cement the ideas of Chapters 1 and 2 of the text, and to see how most students will use the knowledge of this course in practice.
Comprehensive Final Exam (20%):
The final exam will cover material from the entire semester. The final exam must be taken during the scheduled final exam period determined by the university. See below.
See the Course Schedule below for the exact dates of the Good Problems, Numerical Project, and Final Exam.
Grading:
Students' final letter grades will be calculated according to the following table. Final percentage grades will not be rounded up, and there will be no extra credit.
| Letter Grade | Numerical Percentage | Grade Points | Comments |
| A | 90 - 100 | 4.0 | The A range denotes excellent performance |
| A- | 88 - 89.99 | 3.7 | |
| B+ | 86 - 87.99 | 3.3 | |
| B | 80 - 85.99 | 3.0 | The B range denotes good performance |
| B- | 78 - 79.99 | 2.7 | |
| C+ | 76 - 77.99 | 2.3 | |
| C | 70 - 75.99 | 2.0 | The C range denotes satisfactory performance |
| C- | 68 - 69.99 | 1.7 | |
| D | 60 - 67.99 | 1.0 | The D range denotes unsatisfactory performance |
| F | < 60 | 0.0 | The F range denotes failing performance |
Measurable Student Learning Outcomes
Upon successful completion of this course, students will be able to:|
a.) Classify differential equations and initial value
problems. b.) Model simple physical systems to obtain a differential equation (DE) or initial value problem (IVP). c.) Visualize solutions to first order DE's using direction fields and approximating solutions with Euler's method. d.) Determine and classify critical points of a first order autonomous equation; use them to describe the behavior and stability of solutions. e.) Understand the basic notions of linearity, superposition, existence and uniqueness of solutions when solving a linear DE. f.) Demonstrate proficiency solving DE's using the characteristic equation, undetermined coefficients, variation of parameters, elimination, complex arithmetic, power series at analytic and near singular points, recurrence relations, indicial equations, Laplace transform, convolution integrals, transfer functions, integrating factors and integration by parts. g.) Determine the interval or region of existence, uniqueness and stability of a solution to a DE or IVP. |
University Policies and Procedures
Academic Honesty:Students are responsible for knowing and following the Student Code of Conduct and the Student Academic Honesty policy.
Definition of a Credit Hour:
Success in this three-credit-hour course is based on the expectation that students will spend, for each unit of credit, a minimum of forty-five (45) hours over the length of the course (normally three hours per unit per week, with one of the hours used for lecture) for instruction and preparation/studying or course related activities for a total of 135 hours. Read this to learn about the policy and examples of different types of courses and credit hour offerings.
Important Academic Dates:
Wichita State University's full academic calender can be found here.
Disabilities:
If you have a physical, psychiatric/emotional, or learning disability that may impact on your ability to carry out assigned course work, I encourage you to contact the Office of Disability Services (DS). The office is located in Grace Wilkie Annex, Room 150, 316-978-3309 (voice/tty) and 316-854-3032 (videophone). DS will review your concerns and determine, with you, what academic accommodations are necessary and appropriate for you. All information and documentation of your disability is confidential and will not be released by DS without your written permission.
Title IX:
Title IX of the Educational Amendments of 1972 prohibits discrimination based on sex in any educational institution that receives federal funding. Wichita State University does not tolerate sex discrimination of any kind including: sexual misconduct; sexual harassment; relationship/sexual violence and stalking. These incidents may interfere with or limit an individuals ability to benefit from or participate in the Universitys educational programs or activities. Students are asked to immediately report incidents to the University Police Department, (316) 978-3450 or the Title IX Coordinator (316) 978-5177. Students may also report incidents to an instructor, faculty or staff member, who are required by law to notify the Title IX Coordinator. If a student wishes to keep the information confidential, the student may speak with staff members of the Counseling and Testing Center (316) 978-3440 or Student Health Services (316)978-3620. For more information about Title IX, click here.
Counseling and Testing:
The Wichita State University Counseling and Testing Center provides professional counseling services to students, faculty, and staff; administers tests and offers test preparation workshops; and presents programs on topics promoting personal and professional growth. Services are low cost and confidential. They are located in Room 320 of Grace Wilkie Hall, and their phone number is 316-978-3440. The Counseling and Testing Center is open on all days that the university is officially open. If you have a mental health emergency during the times that the Couseling and Testing Center is not open, please call COMCARE Crisis Services at 316-660-7500.
Diversity and Inclusion:
Wichita State University is committed to being an inclusive campus that reflects the evolving diversity of society. To further this goal, WSU does not discriminate in its programs and activities on the basis of race, religion, color, national origin, gender, age, sexual orientation, gender identity, gender expression, marital status, political affiliation, status as veteran, genetic information or disability. The following person has been designated to handle inquiries regarding non-discrimination policies: Executive Director, Office of Equal Employment Opportunity, Wichita State University, 1845 Fairmount, Wichita, KS, 67260-0138; telephone 316-978-3186.
Intellectual Property:
Wichita State University students are subject to Board of Regents and University policies regarding intellectual property rights. Any questions regarding these rights and any disputes that arise under these policies will be resolved by the President of the University, or the President's designee, and such decision will constitute the final decision.
Shocker Alert System:
Get the emergency information you need instantly and effortlessly! With the Shocker Alert System, we will contact you by e-mail the moment there is an emergency or weather alert that affects the campus. Sign up at the Shocker Alert web page.
Concealed Carry Policy:
The Kansas Legislature has legalized concealed carry on public university campuses. Guns must be out of view, concealed either on the body of the carrier, or backpack, purse or bag that remains under the immediate control of the carrier. Gun owners must familiarize themselves with WSU's Concealed Carry Policy and the Kansas Board of Regents' policy. If you believe that there has been a violation of this policy, please contact the University Police Department at 316 978-3450.
Course Schedule
We will attempt to keep to this schedule as closely as possible. The dates of the Good Problems, Numerical Project due date, and Final Exam are fixed. If necessary, the topics covered by a given assignment will be adjusted to fit the schedule.| Week | Dates | Monday | Tuesday | Wednesday | Thursday | Friday |
| 1 | 3-7 June | Intro., Ch. 1 | Ch. 1, §2.2 | §2.1 | §2.3 | Good Problems 1 Ch.1 & §2.1-2 |
| 2 | 10-14 June | §2.6 | §2.4, 8 | §2.8 | §2.7, 8.1-3 Num. Project |
Good Problems 2 §2.4,6,8 |
| 3 | 17-21 June | §2.5 | §3.1, 4.1 | §3.2, 4.1 | §3.3, 4.1 | Good Problems 3 § 2.7, 2.5, 3.1, 3.2 & Project Due |
| 4 | 24-28 June | §3.4, 4.2 | §3.5, 4.3 | §4.4, 3.6 | Ch. 3 & 4 Loose Ends |
Good Problems 4 §3.1-5 |
| 5 | 1-5 July | Examples and/or start Ch. 5 |
§5.1 | §5.2 | NO CLASS |
Good Problems 5 §3.4-6, 5.1 |
| 6 | 8-12 July | §5.2, 5.3 | §5.3 | §5.4 | §5.5, 5.6 | Good Problems 6 §5.2-4 |
| 7 | 15-19 July | Ch. 5 Wrap Up |
§6.1 | §6.2, 6.3 | §6.4, 6.5 | Good Problems 7 §5.5-6,6.1-3 |
| 8 | 22-26 July | §6.5, 6.6 | Ch. 6 Wrap Up | Review | Final Exam, part I Ch. 1 - 4 |
Final Exam, part II Ch. 5 & 6 |
Recommended Exercises
The Recommended Exercises for each section of the book that we cover are listed below.Key:
& : exercises are linked and should be regarded as one single exercise
! : exercise is especially worth doing
? : it's not clear if the exercise is worth doing completely, but definitely think about it.
Unit I: First Order DEs (Chapters 1 and 2)
§1.2: 1, 3!, 5!, 7, 11, 14
§1.1: 1-9 odd, 11-16 all, 17, 19, 23
§1.3: 1-4 all, 5, 7, 11, 13, 15, 19
§2.2: 1, 3, 5, 11, 13, 17, 19, 25! & (27, 29)
§2.1: 1-13 odd, 21, (28 & 29)!
§2.6: 1-11 odd, 13!, 14!, 15, 17 & 19
§2.4: 1-15 odd, 17!, 19, 21!, 23,25, 27
§2.8: 1, 3, 5, 7, 11, 17?
§2.3: 1, 3, 5, 11, 13, 15, 19, 23, 24
§2.5: 1-9 odd, 17
Numerical Project: Selections from Chapters 2 and 8
§2.7: 1-13 odd, (15 & 17)!
§8.1: 3--12 all, 13, 20?
§8.2: 2--11 all, 12?, 14, 15, 20! & (21--24 all)
§8.3: 2--11 all
Unit II: Higher Order Linear DEs (Chapters 3 and 4)
§3.1: 1-15 odd, 19, 21!
§3.2: 1, 3, 5, 7, 11, 15, 16, 25, 27, 29, (31 & 33)!, 35
§3.3: (1-4 all)!, 5-15 odd, 19!, 21!, 23!, 25! & (27, 29, 31)
§3.4: 1-11 odd, 15-21 odd, (24 & 25), 31, 33
§3.5: 1-15 odd, (17, 19, 21)a, 23, (27 & 29)!
§3.6: 1-7 odd, 9!, 11, (17 & 19 & 20 & 21 & 22 & 23)! & 25!
§4.1: 1, 3, 9, 11, (15d? & 17)
§4.2: 9-17 odd, 27
§4.3: 1, 3, 5, 11, 13, (15 & 16 & 17)
§4.4: 1-11 odd
Unit III: Series Solutions (Chapter 5)
§5.1: ALL!
§5.2: 1, 3, 7, 11, 13, 15, 17, 18!
§5.3: 1-7 odd, 8!, 9, 11, 13, 16, 21
§5.4: 1-9 odd, 13, 15, 21, 32! & (33, 35)
§5.5: 1-7 odd
§5.6: 1, 3
Unit IV: Laplace Transforms (Chapter 6)
§6.1: 1, 3, 4!, 5-11 all, 13, 17, 23
§6.2: 1-17 odd, 20ab?
§6.3: 1-13 odd, 17
§6.4: 1-9 odd
§6.5: 1-9 odd
§6.6: 1, 5, 7, 9, 11, 17, 22!?
Don't have the 11th edition of the book? Here are recommended exercises from a past course that used the 10th edition of the book.