MATH 3200 - 001
College of Liberal Arts and Sciences
Fall 2010
Instructor Information
Name:
Andrew Knyazev
Email:
Andrew.Knyazev[at]ucdenver.edu
Web:
http://math.ucdenver.edu/~aknyazev/teaching/10/3200/
and Blackboard
Office:
1250 14th St. UC Denver Room 644
Office Hours:
Tue.,Th. 2:30-4PM, or by appointment.
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.
Section Details - MATH 3200 - 001
NO JOINT CREDIT WITH MATH 3195.
Prereq: MATH 2411; coreq is MATH 3191.
Meetings
T R - 4:00PM to 5:15PM at WC 146
Attendance and Homework
Students are expected to attend classes, but the attendance will not be checked or enforced.
It is highly recommended that students solve most problems from the textbook, with the answers provided by the book, as their homework.
This work will not be collected and graded.
GRADING
Grading will be based on 4 in-class quizzes, 15% each (60% total), the cumulative final in-class test 40%, and a MATLAB computer project 20% (extra credit).
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
by Amazon.com
Addison Wesley; 2 edition (October 8, 2005)
Book is required
It is the same as ISBN 0321290445, except that it comes with West, Cantwell, McDill, Strogatz & Hohn, Interactive Differential Equations CD, 2/E (2006). Either one can be used.
Optional
Ordinary Differential Equations (9780486649405): Morris Tenenbaum, Harry Pollard
by Amazon.com
Dover Publications (October 1, 1985)
Book is optional
Suggested
Student's Solutions Manual (9780321290458): Werner E. Kohler, Lee W. Johnson
by Amazon.com
Addison Wesley; 2nd edition (March 4, 2006)
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 Jan 26
- 1.1 Examples of Differential Equations
- 1.2 Direction Fields
-
2: FIRST ORDER DIFFERENTIAL EQUATIONS
-
2.1 Introduction Jan 28
-
2.2 First Order Linear Differential Equations Feb 2
-
2.3 Introduction to Mathematical Models Feb 4
-
2.4 Population Dynamics and Radioactive Decay Feb 4
-
2.5 First Order Nonlinear Differential Equations Feb 9
-
2.6 Separable First Order Equations Feb 11 Quiz 1 Feb 16
-
2.8 The Logistic Population Model (optional, for independent reading)
-
2.9 Applications to Mechanics (optional, for independent reading)
-
2.10 Euler’s Method Feb 18
-
3: SECOND AND HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS
-
3.1 Introduction Feb 23
-
3.2 The General Solution of Homogeneous Equations Feb 25
-
3.3 Constant Coefficient Homogeneous Equations March 2
-
3.4 Real Repeated Roots; Reduction of Order March 4
-
3.5 Complex Roots March 9 Quiz 2 March 11
-
3.6 Unforced Mechanical Vibrations (optional, for independent reading)
-
3.7 The General Solution of a Linear Nonhomogeneous Equation March 16
-
3.8 The Method of Undetermined Coefficients March 18
March 22-28, 2010: Spring break (no classes)
-
4: FIRST ORDER LINEAR SYSTEMS
-
4.1 Introduction March 30
-
4.2 Existence and Uniqueness April 1
-
4.3 Homogeneous Linear Systems April 6 Quiz 3 April 8
-
4.4 Constant Coefficient Homogeneous Systems and the Eigenvalue Problem
April 13
-
4.5 Real Eigenvalues and the Phase Plane April 15
-
4.6 Complex Eigenvalues April 20
-
4.7 Repeated Eigenvalues April 22
-
4.8 Nonhomogeneous Linear Systems April 27 Quiz 4 April 29
-
5: LAPLACE TRANSFORMS
-
5.1 Introduction (optional, if time allows, or for independent reading)
-
6: NONLINEAR SYSTEMS
-
6.1 Introduction (optional, by request if time allows)
Getting Help
Spring 2010 Semester -- Key Dates
JANUARY 19, 2010: First day of Class
JANUARY 24, 2010:
Last day to be added to a wait list using the SMART system.
Last day to add a course using the SMART system.
JANUARY 25, 2010:
LAST DAY TO DROP WITHOUT DROP CHARGE – THIS INCLUDES SECTION CHANGES. NO ADDS PERMITTED TODAY.
Wait Lists are dropped. Any student who was not added to a course automatically from the wait list by this date and time MUST complete a drop/add form to be added to the class. Students are NOT automatically added to the class from the wait list after this date and time. If your name is not on the official student roster, you are not registered for the course.
JANUARY 26, 2010: First day instructor may approve request to add a student to a full course using a Schedule Adjustment Form. Independent study, internship, thesis and dissertation credit, and candidate for degree may be added with required signature approvals using a Special Processing Form.
JANUARY 26-February 3, 2010: Students are responsible for verifying an accurate spring 2010 course schedule via the SMART registration system. Students are NOT notified of their wait-list status by the university. All students must check their scheduled prior to February 3, 2010 for accuracy.
FEBRUARY 3, 2010 at 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 study, internships, project hours, thesis hours, dissertation hours, and late-starting modular courses.
Last day to drop a spring 2010 course with a tuition adjustment minus the drop charge and no transcript notation – this includes section changes. Drops after this date will appear on your transcript. This is an absolute deadline and is treated as such.
Last day to completely withdraw from all spring 2010 courses with a tuition adjustment and no transcript notation. Drop charge applies. Drops after this date will appear on your transcript. This is an absolute deadline and is treated as such.
- Last day to request pass/fail option for a course.
- Last day to request a no credit option for a course.
- Last day to petition for a reduction in thesis or dissertation hours.
- Last day to submit faculty/staff tuition waiver forms.
- Last day to apply for spring 2010 graduation (submit the online Intent to Graduate and graduation paperwork). You must make an appointment and see your academic advisor before this date to apply for graduation.
FEBRUARY 15-24, 2010: Faculty can use the early alert system.
MARCH 22-28, 2010: Spring Break.
APRIL 2, 2010 at 5 PM: Last day for non CLAS students to drop or withdraw from all classes without a petition and special approval from the student’s academic Dean. This is treated as an absolute deadline.
APRIL 16, 2010 at 5 PM: Last day for CLAS students to drop or withdraw from all classes without a petition and special approval from the student’s academic Dean. Students still need signatures from the faculty and Dean. This is treated as an absolute deadline.
After April 16, 2010 all schedule changes require a petition. Petitions are available in NC 4011.
No schedule changes will be granted once finals week has started. There are NO exceptions to this policy.
May 10-15, 2010: Finals Week.
May 15, 2010: Last day of spring semester.
May 15, 2010: Commencement: Auraria Playing Fields, 9 a.m.
May 26, 2010: Spring final grades available on S.M.A.R.T.
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.
Academic ethics policies: ALL TESTS, PROJECTS AND OTHER ASSIGNMENTS ARE FOR INVIDUAL WORK ONLY.
Any cases of Academic Dishonesty will be treated accoring to
Academic Integrity and
Handling Academic Dishonesty
regulations, see also
Student Code of Conduct.
Required course syllabus information from UC Denver and CLAS: