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Math 240: Elementary Differential Equations

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Page 1: Math 240: Elementary Differential Equations

Math 240: Elementary Differential EquationsSummer 2016

Coordinator & Instructor: Misty OstergaardLecture Time and Place: MTWUF 10:20am – 11:35am in Cardwell 120Office: Cardwell 126E-mail: [email protected]

Instructor: Ashok AryalLecture Time and Place: MTWUF 8:00am – 9:15am in Cardwell 130Office: Cardwell 123E-mail: [email protected]

Substitute Instructor: Xinli XiaoOffice: Cardwell 128E-mail: [email protected]

Course Webpage: http://www.math.ksu.edu/math240Online Textbook: http://www.math.ksu.edu/math240/bookOnline Homework: http://www.math.ksu.edu/onlinehw/m240/

Homework : Written homework will be assigned weekly and is due in the homework box for your lecture by 5:00pmon the due date. Your name, the assignment number, and your lecturer’s name should be written on each assignment youhand in. Late homework will not be accepted. The lowest written homework score for each student will be dropped at theend of the semester before final grades are determined.

There will also be regular online homework assignments. These assignments will be computer graded with immediate feedback.The problems are randomly generated for each student, and you may try an assignment as many times as you want before11:00pm on the due date. No late online homework assignments will be accepted. You will receive your highest score ofall of your attempts on each assignment. The lowest two online homework scores for each student will be dropped at the endof the semester before final grades are determined.

Labs: On most Wednesdays, we will meet in Cardwell 145 to work on the lab assignments. You will need to attendthe lab session to get specific instructions and help on carrying out the labs. You can continue to work on the labs from anycomputer with a web browser (that supports Java) to finish your work. Written lab reports will be due in the lab box foryour section by 5:00pm on the due date. No late labs will be accepted. Please be careful to turn homework into thehomework box and labs into the lab box! Failure to do so may result in your assignment being counted as late, and you mayreceive a zero for the assignment. The lowest lab score for each student will be dropped at the end of the semester beforefinal grades are assigned.

Exams: The midterm exams for this course will be during the regular course time, tentatively on the following days:June 17, July 12, July 29. Exams may include material from lectures, homework, and labs. The final exam will becomprehensive; it will take place on July 29 during your regular class time. Exams will be closed book. No notes may beused during exams. Calculators are not permitted during exams. There will be no make-up exams. After each exam isgraded, a scale will be made listing the minimum scores for an A, B, C, and D on that exam.

Let your instructor know as soon as possible if you must miss an examination. You must contact your instructor in advanceif you must miss an exam unless your missing the exam is due to an emergency. If an emergency does occur that causesyou to miss an exam, contact your instructor as soon as possible afterward. Failure to be excused from a midterm exammay result in a score of zero for that exam. If your instructor excuses your absence from a midterm exam, then your finalgrade will be based on your remaining scores. There will be no make-up exams. If you miss both midterm exams or the finalexam, for verifiable personal emergencies, then it is possible to receive the grade of ”incomplete” for the course. It is yourresponsibility to work out the details with your instructor before final grades are assigned.

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A picture ID must be brought to the exam and shown when turning in your exam paper. No books, notes, calculators, orelectronic devices may be used in the exam. Students should follow the proctor’s instructions during the exam and sit atleast one seat apart if possible. Write clearly and show all of your work. A correct answer alone may not receiveany credit. If there is a mistake or oversight in the grading, see your instructor first. Your instructor has the authority tochange blatant errors in the grading. If the error is subtle, your instructor will contact the grader of that problem to check onthe score. You should contact your instructor within two weeks of the graded exam being returned for any requestto have problems looked over again.

Grading : The following describes the points allotted in this course. Note that the total raw scores for the written homework,online homework, or labs may exceed 50 points each, and in this case these components will each be scaled down to 50 points.

Written homework: 50 pointsOnline homework: 50 pointsLabs: 50 pointsMidterm Exam 1: 110 pointsMidterm Exam 2: 110 pointsFinal Exam: 130 pointsTotal: 500 points

Also recall that the lowest written homework score, the lowest lab score, and the lowest two online homework scores for eachstudent will be dropped before the final grades are determined.

Canvas will always display your raw point score on all assignments. Canvas will never have the curves put in. In light ofthis fact, please do not email your instructor or the coordinator asking why you don’t see the curves on Canvas. We take allcurves into account when computing final grades. Your final grade will appear in KSIS a week after your final exam.

Help Sessions: Help sessions will be held Monday through Friday in Cardwell Hall. A help session schedule with specifictimes and locations will be posted across from the Math office in Cardwell and at https://www.math.ksu.edu/courses/

help/helpsche.pdf. Several instructors will be present to assist you. Help sessions begin on June 6th and end on July29th. In particular, you can get help for the labs or online homework for Math 240 Monday through Thursday, 3pm–4pm inCardwell 145.

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Statement Regarding Academic Honesty : Kansas State University has an Honor System based on personal integrity, which ispresumed to be sufficient assurance that, in academic matters, one’s work is performed honestly and without unauthorizedassistance. Undergraduate and graduate students, by registration, acknowledge the jurisdiction of the Honor System. Thepolicies and procedures of the Honor System apply to all full and part-time students enrolled in undergraduate and graduatecourses on-campus, off-campus, and via distance learning. The honor system website can be reached via the following URL:www.k-state.edu/honor. A component vital to the Honor System is the inclusion of the Honor Pledge which applies to allassignments, examinations, or other course work undertaken by students. The Honor Pledge is implied, whether or not itis stated: ”On my honor, as a student, I have neither given nor received unauthorized aid on this academic work.” A gradeof XF can result from a breach of academic honesty. The F indicates failure in the course; the X indicates the reason is anHonor Pledge violation.In this class, you are authorized to work together on homework and labs, as you see fit unless otherwise instructed on thatparticular assignment. You will be asked to sign the honor pledge on assignments where you are required to work alone, suchas exams.

Statement Regarding Students with Disabilities: Students with disabilities who need classroom accommodations, access totechnology, or information about emergency building/campus evacuation processes should contact the Student Access Centerand/or their instructor. Services are available to students with a wide range of disabilities including, but not limited to,physical disabilities, medical conditions, learning disabilities, attention deficit disorder, depression, and anxiety. If youare a student enrolled in campus/online courses through the Manhattan or Olathe campuses, contact the Student AccessCenter at [email protected], 785-532-6441; for Salina campus, contact the Academic and Career Advising Center [email protected], 785-826-2649.

Statement Regarding Expectations for Classroom Conduct : All student activities in the University, including this course,are governed by the Student Judicial Conduct Code as outlined in the Student Governing Association By Laws, Article V,Section 3, number 2. Students who engage in behavior that disrupts the learning environment may be asked to leave theclass.

Statement for Copyright Notification: This syllabus and all lectures and class materials are copyrighted. During this coursestudents are prohibited from selling notes to or being paid for taking notes by any person or commercial firm without theexpress written permission of the professor teaching this course.

Campus Safety Statement : Kansas State University is committed to providing a safe teaching and learning environment forstudent and faculty members. In order to enhance your safety in the unlikely case of a campus emergency make sure thatyou know where and how to quickly exit your classroom and how to follow any emergency directives. To view additionalcampus emergency information go to the University’s main page, http://www.k-state.edu, and click on the EmergencyInformation button.

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Math 240, Summer 2016Tentative Course Schedule

Day Lecture/Lab Topic Written HW (Due Date) Online HW (Due Date)

Week 1

Mon, June 6 Introduction & Separable Equations& Initial Value Problems HW1 # 1, 2, 8, 14, 16 (June 13) Separable (June 9)

Tue, June 7 Exact Equations Exact(June 9)Wed, June 8 Lab: Geometric Interpretation Lab # 1, 5-8 (June 14)Thu, June 9 Linear Equations HW2 # 2, 3, 4, 8, 10 (June 13) Linear (June 13)Fri, June 10 Change of Variables HW3 # 2, 4, 6 (June 13) Bernoulli & Homogeneous (both June 13)

Week 2

Mon, June 13 Long-term Behavior of Solutions HW3 # 14, 16, 18, 20 (June 20)Tue, June 14 Population ModelsWed, June 15 Lab: Autonomous Equations Lab: All problems (June 21) Autonomous Equations (June 16)Thu, June 16 Theory of First Order Equations

& ReviewFri, June 17 Exam 1

Week 3

Mon, June 20 Complex Variables & Complex Arithmetic (Optional, No credit)Geometry of Complex Numbers HW4 # 2, 4, 8, 14, 18 (June 27) Complex Variables (June 23)

Tue, June 21 Theory of Linear Equations HW5 # 4, 8, 14, 20 (June 27)Wed, June 22 Lab: Complex Graphs, Grapher Lab # 3-7 (June 28)Thu, June 23 Homogeneous Equations Homogenous (June 27)

& Supplement to TextFri, June 24 Inhomogeneous Equations Inhomogenous (June 27)

Week 4

Mon, June 27 Free Motion HW6 # 2, 4, 12, 22, 28, 29Tue, June 28 Forced Motion (July 5) Spring-Mass Systems (Optional, No credit)Wed, June 29 Lab: Free and Forced Motion Lab Lab # 1-6 (July 5)Thu, June 30 Variation of ParametersFri, July 1 Laplace Transforms, Laplace Transforms (July 5)

Table of Laplace Transforms, &Solving Diff. Eqns. with L. T.s HW7 # 2, 4 (July 5)

Week 5

Mon, July 4 Holiday! Inverse Laplace Transforms (July 7)Tue, July 5 Impulse Functions & Convolutions HW7 # 6, 16, 18, 20 (July 11) Impulse Functions (July 7)Wed, July 6 Lab: Numerical Methods Lab # 5, 11, 17 (July 12)Thu, July 7 Systems of Equations Linear Systems (July 11)Fri, July 8 Non-linear Systems &

Geometric Methods for 2D Systems HW8 # 2, 4, 6, 11, 12 (July 11)

Week 6

Mon, July 11 ReviewTue, July 12 Exam 2Wed, July 13 Lab: Systems Lab Lab # 1-4 (July 19)Thu, July 14 Power SeriesFri, July 15 Series Solutions HW9 # 2, 4, 8, 12 (July 18) Series Solutions (July 18)

Week 7

Mon, July 18 Radius of Convergence Radius of Convergence (July 21)Tue, July 19 Euler Equations HW9 # 14, 15 (July 25) Euler Equations (July 21)Wed, July 20 Lab: Series Solutions Lab # 1-5 (July 26)Thu, July 21 Regular Singular Points &

Series Solutions About RSPsFri, July 22 Convergence of Series About RSPs HW10 # 2, 6, 10, 16, 18 (July 25)

Week 8

Mon, July 25 Boundary Value ProblemsTue, July 26 Separation of VariablesWed, July 27 ReviewThu, July 28 ReviewFri, July 29 Final!