MATH 3200 - 001 Fall 2011
Department of Mathematical & Statistical Sciences
College of Liberal Arts and Sciences
University of Colorado Denver
Class Webpages: http://math.ucdenver.edu/~aknyazev/teaching/11/3200/ and CUonline Blackboard
Instructor Information
Name:
Andrew Knyazev
Email:
Andrew.Knyazev[at]ucdenver.edu
Office Location:
1250 14th St. UC Denver Room 644
Office Hours:
Tue.,Th. 3:30-4:45 PM or by appointment
Class Location:
North 1316
Class Hours:
Tue.,Th. 12:30-1:45 PM
Official Course Description
ELEMENTARY DIFFERENTIAL EQUATIONS
MATH 3200-3. Elementary Differential Equations. First and second order differential equations, Laplace transforms, systems of equations, with an emphasis on modeling and applications.
NO JOINT CREDIT WITH MATH 3195.
Prereq: MATH 2411; coreq is MATH 3191.
Attendance
Students are expected to attend classes, but the attendance will not be checked or enforced. Naturally, attendance of all in-class tests is mandatory. A missed test or quiz results in the zero grade for it.
Homework
It is highly recommended that students solve most problems from the textbook, with the answers provided by the book, as their homework. Homework solutions will not be collected and graded.
Just simply start with the problem number one, and keep working on all odd problems, making sure that you get the correct answers after every problem. All kinds of help is appropriate for this, e.g., solve problems in groups, if you like, consult the Student Solution Manual, ask for help in our MERC lab, try free UC Denver tutoring. If you cannot get the answer right, please ask me in class, and we solve this problem in class.
GRADING
Grading will be based on 4 in-class quizzes, 10% each (40% total), the cumulative final in-class test 50%, and a MATLAB computer project 10%. A linear scale for grades will be used with no curving.
Grading scale for UCD and Metro% / 0-20% / 21-40% / 41-60% / 61-80% / 81-100%
Metro / F / D / C / B / A
% / 0-20% / 21-27% / 28-34% / 35-40% / 41-47% / 48-54% / 55-60% / 61-67% / 68-74% / 75-80% / 81-90% / 91-100%
UCD / F / D- / D / D+ / C- / C / C+ / B- / B / B+ / A- / A
Textbooks
Required
Elementary Differential Equations Bound with IDE CD Package (2nd Edition) (9780321398499): Werner E. Kohler, Lee W. Johnson
Pearson/Addison Wesley; 2 edition 2005, ISBN: 0321398491
Book is required
Optional
Ordinary Differential Equations (9780486649405): Morris Tenenbaum, Harry Pollard
Dover Publications 1985, ISBN: 0486649407
Book is optional
Suggested
Student's Solutions Manual (9780321290458): Werner E. Kohler, Lee W. Johnson
Addison Wesley; 2nd edition 2006 ISBN: 0321290453
Book is suggested. Free download of Chapters 1 and 2 of the Student's Solutions Manual that accompanies your textbook. Other Web student resources from the publisher.
TENTATIVE CONTENTS
The class is planned to follow the outline below, touching on each major topic in a depth that will be determined by the pace of the class.
· 1: INTRODUCTION TO DIFFERENTIAL EQUATIONS
o 1.1 Examples of Differential Equations
o 1.2 Direction Fields
· 2: FIRST ORDER DIFFERENTIAL EQUATIONS
o 2.1 Introduction
o 2.2 First Order Linear Differential Equations
o 2.3 Introduction to Mathematical Models
o 2.4 Population Dynamics and Radioactive Decay
o 2.5 First Order Nonlinear Differential Equations
o 2.6 Separable First Order Equations
o 2.8 The Logistic Population Model (optional, for independent reading)
o 2.9 Applications to Mechanics (optional, for independent reading)
o 2.10 Euler’s Method
· 3: SECOND AND HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS
o 3.1 Introduction
o 3.2 The General Solution of Homogeneous Equations
o 3.3 Constant Coefficient Homogeneous Equations
o 3.4 Real Repeated Roots; Reduction of Order
o 3.5 Complex Roots
o 3.6 Unforced Mechanical Vibrations (optional, for independent reading)
o 3.7 The General Solution of a Linear Nonhomogeneous Equation
o 3.8 The Method of Undetermined Coefficients
· 4: FIRST ORDER LINEAR SYSTEMS
o 4.1 Introduction
o 4.2 Existence and Uniqueness
o 4.3 Homogeneous Linear Systems
o 4.4 Constant Coefficient Homogeneous Systems and the Eigenvalue Problem
o 4.5 Real Eigenvalues and the Phase Plane
o 4.6 Complex Eigenvalues
o 4.7 Repeated Eigenvalues
o 4.8 Nonhomogeneous Linear Systems
· 5: LAPLACE TRANSFORMS
o 5.1 Introduction (optional, if time allows, or for independent reading)
· 6: NONLINEAR SYSTEMS
o 6.1 Introduction (optional, by request if time allows)
ALL GRADED ASSIGMENTS IN THIS CLASS ARE FOR INDIVIDUAL WORK ONLY. NO GROUP WORK OR ANY OTHER HELP IS ALLOWED.
Academic Integrity is Fully Expected: Academic dishonesty is a serious offense at the University because it diminishes the quality of scholarship and the learning experience for everyone on campus. An act of Academic Dishonesty may lead to sanctions including a reduction in grade (up to and including a permanent F for the course), probation, suspension, or expulsion. Academic dishonesty includes cheating, fabrication, plagiarism, submitting the same paper or work for more than one class, and facilitating academic dishonesty. For definitions and more information, see the CLAS website: http://www.ucdenver.edu/academics/colleges/CLAS/faculty-staff/policies/Pages/AcademicIntegrity.aspx
Getting Help
· Our Math Education Resource Center (MERC Lab)
· Free tutoring at the UC Denver Learning Resources Center
· Technology Manuals by the textbook publisher
View the free MATLAB® technology manual to accompany your textbook.
· MATLAB Tutorial and MATLAB & Simulink Student Version by the MathWorks.
CLAS Incomplete (IW/IF) Policy
The faculty in the College of Liberal Arts and Sciences passed the following policy relating to the awarding of incomplete grades. This CLAS policy is consistent with the UC Denver campus policy.
Incomplete grades (IW or IF) are NOT granted for low academic performance. To be eligible for an Incomplete grade, students MUST:
- Successfully complete a minimum of 75% of the course
- Have special circumstances beyond their control that preclude them from attending class and completing graded assignments
- Make arrangements to complete missing assignments with the original instructor. Verification of special circumstances is required.
Completion of a CLAS Course Completion Agreement is strongly suggested. Incompletes cannot be awarded that stipulate: (1) a student may repeat the entire course, (2) repeat or replace existing grades, (3) allow the student an indeterminate period of time to complete a course, or (4) allow the student to repeat the course with a different instructor.
The CLAS Course Completion Agreement is available from the CLAS Advising Office, NC 4002.
Disability Accommodations
The faculty at the University of Colorado system have both a legal and moral obligation to provide reasonable accommodations to students with disabilities. To be eligible for accommodations, students must be registered with the UC Denver Office of Disability Resources and Services (DRS) -- North Classroom 2514; 303-556-3450, 303-556-4766 TDD). The DRS staff has experience to assist faculty in determining reasonable accommodations and to coordinate these accommodations. If a student is given accommodations, they must be followed. If a student chooses not to accept the accommodations set forth by the DRS, they MUST complete all assignments and do all course work in the same manner as all other students. No exceptions or alternate forms of evaluation can be used except those mandated by the DRS. Faculty cannot arbitrarily decide to give a student extra time, extra assistance or other forms of aid unless it is formally mandated by the DRS.
Class Sessions Policy
· Learning and teaching mathematics requires great concentration. This class sessions policy is indented to maintain an organized and professional learning environment.
· All classes begin and end on time. Students are expected to arrive on time and not interrupt the class flow. Students should not enter late after 10 minutes without instructor permission. Students should not leave earlier unless given instructor approval in advance.
· No food or drinks allowed in the room during class time except for water.
· No disturbing sound or noise is allowed, including, but not limited to, cell phone use.
· It is highly recommended (and mandatory for open-book tests) to have the textbook during the class time.
Fall 2011 CLAS Academic Policies
The following policies pertain to all degree students in the College of Liberal Arts and Sciences (CLAS).
· Schedule verification: It is each student’s responsibility to verify online that his/her official registration is correct: verify before classes begin and prior to the drop/add deadline. Failure to verify schedule accuracy is not sufficient reason to justify a late add or drop.
· E-mail: Students must activate and regularly check their official student e-mail account for CU Denver business: http://www.ucdenver.edu/student-services/Pages/WebMail.aspx. Those who forward email to a private account are still responsible for checking their official student e-mail account for messages not automatically forwarded.
· Waitlists:
· Students are not automatically notified if they are added to a class from a waitlist. Students are not automatically dropped from a class if they never attended, stopped attending, or do not make tuition payments.
· Waitlists are purged after the 1st week of classes, after which a paper Schedule Adjustment Form (drop/add form) is required. It is the student's responsibility to get the form (online or at the Advising Office, NC 4002), have it signed, deliver it to the Registrar (Annex 100) or the Student Services Center (NC 1003), and verify her/his schedule online.
· Late adds (after 7 September) will be approved only when circumstances surrounding the late add are beyond the student’s control. This will require a written petition and verifiable documentation. Petition forms are available in NC 4002. The signature of a faculty member on a Schedule Adjustment Form does not guarantee that a late add petition will be approved.
· Late drops (after 14 November) will be approved only when circumstances surrounding the late drop have arisen after the published drop deadline and are beyond the student’s control. This will require a written petition and verifiable documentation. The signature of a faculty member does not guarantee that a late drop petition will be approved.
· Tuition: Students are responsible for completing arrangements with financial aid, family, scholarships, etc. (depending on tuition plan selected) to pay their tuition prior to Census Date (7 September). Students who drop after that date are (1) financially responsible for tuition and fees, (2) academically responsible and will receive a "W" grade, and (3) are ineligible for a refund of COF hours or tuition.
· Graduation:
· Undergraduate students wishing to graduate in fall 2011 must complete the online Intent to Graduate Form and meet with their academic advisor to obtain a graduation application. This application must be submitted by Census Date (7 September). You can obtain an application only after meeting with your advisor. There are no exceptions to this policy.
· Graduate students wishing to graduate in fall semester 2011 must complete the online Intent to Graduate form and have a Request for Admissions to Candidacy on file with the CU Denver Graduate School (Lawrence Street Center) no later than 5 PM, September 7, 2011.
Important Dates and Deadlines
· August 22, 2011: First day of classes.
· August 28, 2011: Last day to add a class or be added to a waitlist using the UCD Access student portal. After this date, you must use a Schedule Adjustment Form to change, add, or drop.
· August 29, 2011: LAST DAY TO DROP WITHOUT DROP CHARGE THIS INCLUDES SECTION CHANGES.
· August 29, 2011: Waitlists are dropped. Any student not added to a course automatically from the waitlist by this date MUST complete a Schedule Adjustment Form to be added. Students are NOT automatically added to the class from the waitlist after this date and time. If your name is not on the official student roster, you are not registered for the course.
· August 30-September 7, 2011: Students are responsible for verifying an accurate fall 2011 course schedule via the UCDAccess student portal. Students are NOT notified of their waitlist status by the University. All students must check their schedule prior to 9/7 for accuracy.
· August 30, 2011: First day instructor may approve request to add a student to a course with a Schedule Adjustment Form.
· September 7, 2011: Census date.
· 9/7/11, 5 PM: Last day to add structured courses without a written petition for a late add. This is an absolute deadline and is treated as such. This deadline does not apply to independent studies, internships, project hours, thesis hours, dissertation hours, and late-starting modular courses.
· 9/7/11, 5 PM: Last day to drop a fall 2011 course or completely withdraw from all fall 2011 courses using a Schedule Adjustment Form and still receive a tuition refund, minus the drop fee. After this date, tuition is forfeited and a "W" will appear on the transcript. This includes section changes. This is an absolute deadline and is treated as such.
· 9/7/11, 5 PM: Last day to request pass/fail or no-credit option for a course.
· 9/7/11, 5 PM: Last day for a graduate student to register for a Candidate for Degree.
· 9/7/11, 5 PM: Last day for a Ph.D. student to petition for a reduction in hours.
· 9/7/11, 5 PM: Last day to apply for fall 2011 graduation. You must make an appointment and see your academic advisor before this date to apply for graduation if you are an undergraduate; you must complete the Intent to Graduate and Candidate for Degree forms if you are a graduate student.
· September 19-28, 2011: Faculty can use the Early Alert system.
· October 31, 2011, 5 PM: Last day for non-CLAS students to drop or withdraw without a petition and special approval from the academic dean. After this date, a dean’s signature is required.
· November 14, 2011, 5 PM: Last day for CLAS students to drop or withdraw with signatures from the faculty and dean but without a full petition. After this date, all schedule changes require a full petition. Petitions are available in NC 4002 for undergraduates and in the CU Denver Graduate School offices for graduate students.
· November 21-27, 2011: Fall break (no classes; campus closed). Be thankful.
· December 12-17, 2011: Finals Week. No schedule changes will be granted once finals week has started. There are NO exceptions to this policy.
· December 27, 2011: Fall final grades available on UCD Access (tentative).