MATH 3195 - 003. Fall 2010

Department of Mathematical & Statistical Sciences

College of Liberal Arts and Sciences

University of Colorado Denver

Class Webpages: http://math.ucdenver.edu/~aknyazev/teaching/10/3195/ and CUonline Blackboard

Instructor Information

Name: Andrew Knyazev

Email: Andrew.Knyazev[at]ucdenver.edu

Office: 1250 14th St. UC Denver Dravo Room 644

Office Hours: by appointment

Meetings TR - 1-2:50 PM at room "B" 3rd floor of 1475 Lawrence Street Center (the new Business Building) The actual class time is 1 hour 40 min.

Official Course Description

MATH 3195. Linear Algebra and Differential Equations. Presents the essential ideas and methods of linear algebra and differential equations, emphasizing the connections between and the applications of both subjects. The course is designed for students in the sciences and engineering. Note: No co-credit with MATH 3200 and MATH 3191. Prereq: MATH 2411. Semester Hours: 4 to 4
Section Details - MATH 3195 - 003

Textbooks

Required

Differential Equations and Linear Algebra

by C. Henry Edwards and David E. Penney,
Pearson 2010 (3d edition)

ISBN-10: 0136054250 ISBN-13: 9780136054252

Also available packages:

Package ISBN-10: 0321668464 | ISBN-13: 9780321668462
2010 | Instock
Suggested retail price: $136.67  Buy from myPearsonStore

This package contains:

Edwards & Penney | 2010 | Pearson | Cloth; 792 pp
Edwards | 2010 | Pearson | Paper; 340 pp


Package ISBN-10: 0321689038 | ISBN-13: 9780321689030
2010 | Instock
Suggested retail price: $133.33  Buy from myPearsonStore

This package contains:

Edwards & Penney | 2010 | Pearson | Cloth; 792 pp
Edwards & Penney | 2010 | Pearson | Paper; 250 pp

GRADING

Grading will be based on 3 in-class and 2 take-home quizzes, 10% each, the worst dropped (40% total), and the final in-class test 60%. An optional MATLAB project (due during class time on Dec 9) will add 20% extra credit.

No make-ups or late work, except for extraordinary and documented situations. 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

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. The dates are tentative and may be subject to change.

CHAPTER 1. First-Order Differential Equations
1.1 Differential Equations and Mathematical Models Aug 24
1.2 Integrals as General and Particular Solutions Aug 26
1.3 Slope Fields and Solution Curves Aug 31
1.4 Separable Equations and Applications Sept 2
1.5 Linear First-Order Equations Sept 7

CHAPTER 2. Mathematical Models and Numerical Methods
2.1 Population Models (Optional, independent reading)
2.2 Equilibrium Solutions and Stability (Optional, independent reading)
2.3 Acceleration-Velocity Models (Optional, independent reading)
2.4 Numerical Approximation: Euler's Method Sept 9
In-class Quiz 1. Sept 14

CHAPTER 3. Linear Systems and Matrices
3.1 Introduction to Linear Systems Sept 16
3.2 Matrices and Gaussian Elimination Sept 16
3.3 Reduced Row-Echelon Matrices Sept 21
3.4 Matrix Operations Sept 23
3.5 Inverses of Matrices Sept 28
3.6 Determinants Sept 30
In-class Quiz 2. Oct 5

CHAPTER 4. Vector Spaces
4.1 The Vector Space R3 Oct 7
4.2 The Vector Space Rn and Subspaces Oct 12
4.3 Linear Combinations and Independence of Vectors Oct 14
4.4 Bases and Dimension for Vector Spaces Oct 19
4.5 Row and Column Spaces Oct 21
4.6 Orthogonal Vectors in Rn Oct 26
4.7 General Vector Spaces Oct 28
Take-home Quiz 3. Due Nov 4 during class time

CHAPTER 5. Higher-Order Linear Differential Equations
5.1 Introduction: Second-Order Linear Equations Nov 2
5.2 General Solutions of Linear Equations Nov 4
5.3 Homogeneous Equations with Constant Coefficients Nov 9
5.4 Mechanical Vibrations (Optional, independent reading)
5.5 Nonhomogeneous Equations and Undetermined Coefficients Nov 9
Take-home Quiz 4. Due Nov 18 during class time

CHAPTER 6. Eigenvalues and Eigenvectors
6.1 Introduction to Eigenvalues Nov 11
6.2 Diagonalization of Matrices Nov 11

CHAPTER 7. Linear Systems of Differential Equations
7.1 First-Order Systems and Applications Nov 16
7.2 Matrices and Linear Systems Nov 16
7.3 The Eigenvalue Method for Linear Systems Nov 18
7.4 Second-Order Systems and Mechanical Applications (Optional, independent reading)
7.5 Multiple Eigenvalue Solutions Nov 30
7.6 Numerical Methods for Systems Nov 30

CHAPTER 10. Laplace transform (Optional, on-demand)
In-class Quiz 5. Dec 2

Last week before finals, no new material covered: Dec 6-10. Extra credit computer project is due during class time on Dec 9.
Final in class: Dec 14

Frequently Asked Questions

Classroom rules:

Learning and teaching mathematics requires high levels of concentration both for students and the teacher. No activity in the classroom, which may disrupt the learning process, is allowed. This includes, but not limited to, using cell phones, unrelated speaking, eating food, making noises, walking in and out without prior permission by the instructor.

Please have in mind that teaching is a performance art, so unnecessary and unrelated disturbances may negatively affect the performance quality. Also, teaching is an interactive performance art, where participation of students is expected. If you have any questions, please do not be shy - raise your hand and ask! Students, who ask good questions or participate in creating a better learning environment in other ways, may be eligible for extra credit. Most of the time, if one student has a question, the answer is of interest for all students. Do not wait for office hours - ask your questions in class!

How to do well in this class:

You should expect to spend at least 10 hours/week preparing for class and solving the problems from the textbook. You will not gain the skills necessary to succeed in this class by only listening to lectures or reading the book. You should read the section to be covered before the class. Even if you may not understand everything, you will find it makes the class much easier.

Every student is expected to attend all classes, although the attendance is not checked or enforced.

Communication:

Students must read timely their official UCD email. Announcements and grades will posted on Blackboard.

Getting Help Outside

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 CLAS Academic Integrity and UC Denver Code of Conduct regulations, see also Student Code of Conduct. Cheating of any kind will be reported to the department and will result in a course grade of F and a possible expulsion from the University. Bring your ID, because IDs may be randomly checked before quizzes and exams.

Required Information from CLAS

Fall 2010 CLAS Academic Policies


The following policies pertain to all students and are strictly adhered to by the College of Liberal Arts and Sciences (CLAS).

  • Every student MUST check and verify their schedule prior to the published drop/add deadlines. Failure to verify a schedule is not sufficient reason to justify a late add or drop later in the semester.

  • CLAS students must use their email.ucdenver.edu email address. Email is the official method of communication for all University of Colorado Denver business. All email correspondence will take place using your UCDHSC email address. Go to http://www.ucdenver.edu/student-services/resources/registrar/students/policies/Pages/EmailPolicy.aspx to activate your email address.

  • Students are NOT automatically added to a course off a wait list after wait lists are dropped. If a student is told by a faculty member that they will be added off the wait list, it is the responsibility of the student to complete the proper paperwork to add a course.

  • Students are not automatically notified if they are added to a class from a wait-list. Again, it is the responsibility of the student to verify their schedule prior to any official dates to drop or add courses.

  • Students must complete and submit a drop/add form to make any schedule changes. Students are not automatically dropped from a class if they never attended, stopped attending or do not make tuition payments.

  • Late adds will be approved only when circumstances surrounding the late add are beyond the student’s control and can be documented independently. This will require a petition and documentation from the student. Please note that the signature of a faculty member on an add form does not guarantee that a late add petition will be approved. Undergraduates should contact the Advising office and Graduate students should contact the Dean’s office to petition for a late add.

  • Late drops will be approved only when circumstances surrounding the late drop have arisen after the published drop deadlines, are beyond the student’s control, and can be documented independently. This will require a petition and documentation from the student. Pre-existing circumstances (circumstances that existed prior to the published drop deadlines) regarding illness, work, family, or other confounding issues will not be considered adequate reason to drop or withdraw from courses after the published University and/or College drop deadlines. Please note that the signature of a faculty member does not guarantee that a late drop petition will be approved. Undergraduates should contact the Advising office and Graduate students should contact the Dean’s office to petition for a late drop.

  • Undergraduate students wishing to graduate in fall of 2010 must meet with their academic advisor and complete their graduation application and intent to graduate form by 5 PM on September 8, 2010. You can obtain an application ONLY after meeting with your academic advisor so make your appointment early. There are no exceptions to this policy or date.

  • Graduate students wishing to graduate in fall semester 2010 must complete their Intent to Graduate form and have a Request for Admissions to Candidacy on file with the CLAS Dean’s office no later than 5 PM, September 8, 2010.

  • Students are responsible for completing financial arrangements with financial aid, family, scholarships, etc. to pay their tuition. Students will be responsible for all tuition and fees for courses they do not officially drop using proper drop/add procedures and forms.

Students who drop after the published drop/add period will not be eligible for a refund of the COF hours or tuition.

Important Dates


  • August 23, 2010: First day of Class

  • August 29, 2010: Last day to add a class or be added to a wait list for a class using the UCDAccess portal. Please note that if your course does not appear as “enrolled” on your schedule you are not enrolled in the class.

  • August 30, 2010: LAST DAY TO DROP WITHOUT DROP CHARGE – THIS INCLUDES SECTION CHANGES.

  • August 30, 2010: 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 schedule adjustment 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.

  • August 31, 2010: First day instructor may approve request to add a student to a course with a Schedule Adjustment Form. (Late start classes may be added up until the day the class starts).

  • September 8, 2010: Census date.

  • September 8, 2010 at 5 PM: Last day to add structured courses using a schedule adjustment form with instructor signature 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.

  • September 8, 2010 at 5 PM: Last day to drop a fall 2010 course or completely with draw from all fall 2010 courses 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. Drops will require instructor approval and withdraw from all classes requires a dean’s signature. This is an absolute deadline and is treated as such.

  • September 8, 2010 at 5 PM: Last day to request pass/fail or no credit option for a course.

  • September 8, 2010 at 5 PM: Last day to for a graduate student to register for a Candidate for Degree.

  • September 8, 2010 at 5 PM: Last day for a Ph.D. student to petition for a reduction in hours.

  • September 8, 2010 at 5 PM: Last day to apply for fall 2010 graduation. Undergraduates must make an appointment and see your academic advisor before this date to apply for graduation if you are an undergraduate; graduate students must complete the intent to graduate and candidate for degree form.

  • September 6, 2010: Labor Day (campus closed/ no classes)

  • September 20-29, 2010: Faculty can use the early alert system.

  • November 1, 2010 at 5 PM: Last day for students to drop or withdraw from all classes without approval from the student’s academic Dean.

  • November 15, 2010 at 5 PM: Last day for CLAS students can obtain dean’s permission to drop or withdraw without a full petition. This is treated as an absolute deadline.

  • After November 15, 2015 all schedule changes require a full petition. Undergraduates should contact their CLAS advisor, graduate students should contact the dean’s office.

  • November 25, 2010: Thanksgiving Day Holiday (campus closed)

  • No schedule changes will be granted once finals week has started. There are NO exceptions to this policy.