LECTURE:
M-Th: 9:00-9:50am
INSTRUCTOR: Dr. Pante
STANICA, 268 Spanagel, 656-2714; pstanica@nps.edu; http://faculty.nps.edu/pstanica/
OFFICE HOURS: M,T,W,Th
10:00-10:40am
(Be aware that office hours are not a substitute for regular class time)
TEXT: Elementary Differential Equations and Boundary Value Problems, 9th edition, Boyce & DiPrima
CALCULATOR POLICY: Using a CAS like Mathematica or Maple can give more insight but it is not required. From time to time we will be using technology tools to get more insight into the topics.
MATERIAL TO BE COVERED (and Objectives for the course�subject to be adjusted along the way):
Depending on how you react, I may spend more or less time on a topic, however, all the topics will have to be covered, which means that you may have to cover some material yourselves, in the comfort of your homes, with me answering your questions the next class. Let us hope it will not be the case.
(Hours to be spent on the topic)-(Total
quarter hours)
1-1 Introduction,
classification of differential equations, linearity 1.1, 1.3
2-3 First-order equations: linear equations, separable equations, existence and uniqueness for linear equations 1.2, 2.1 - 2.2
3-6 Existence and uniqueness for nonlinear equations, exact equations and integrating factors 2.4, 2.6, 2.8
2-8 Applications of first-order equations 2.3, 2.5
3-11 Second-order linear equations: homogeneous constant-coefficient, fundamental solutions, linear independence, the Wronskian 3.1 - 3.3
3-14 Complex roots, repeated roots, reduction of order 3.4 - 3.5
3-17 Nonhomogeneous equations, undetermined coefficients, variation of parameters 3.6 - 3.7
2-19 Oscillations: free and forced 3.8 - 3.9
1-20 Higher-order linear equations (overview) 4.1 - 4.4
1-21 Series solutions: review of power series 5.1
2-23 Ordinary points, regular singular points 5.2 - 5.4
1-24 Euler-Cauchy equations 5.5
2-26 Laplace transforms: definition, initial value problems 6.1 - 6.2
3-29 Step functions and discontinuous forcing, Dirac delta function 6.3 - 6.5
2-31 Laplace convolution 6.6
3-34 Systems of equations: introduction, review of matrices, linear algebraic systems, eigenvalues and eigenvectors 7.1 - 7.3
4-38 Linear first-order differential systems, homogeneous constant-coefficient systems, complex eigenvalues, repeated eigenvalues 7.4 - 7.8
2-40 Nonhomogeneous linear systems 7.9
4-44 Review, exams, holidays
HOMEWORK: You are encouraged to do as many problems as you can from the book. However the standard (default) assignment for each week is to read carefully the indicated sections and to prepare for homework the problems I will assign in class. The homework will not be collected. However the exams may contain problems from the assigned homework.
TESTS: Two midterms will be given (possibly on week 4, and week 8) and a final comprehensive in-class exam in Week 10. Absolutely no collaboration is allowed. Both the midterm and the final exam will contain approx. 5-10 prob/que (each of the prob/que will be worth 5-10 points for a total of 50 points for the midterm and 100 points for the final). I reserve the right to give in-class pop quizzes (1-5pts), which will be used toward the final grade, as an add-on (extra credit) to the final score. No make-up tests/quizzes will be given except in extraordinary circumstances (e.g. illness - present verified doctor's excuse). If there are any changes in schedule or test date/policy, I will announce it in class at least a few days in advance. It is your responsibility to stay informed of such changes.
ACADEMIC HONESTY: Cheating in this course will not be tolerated and will be dealt with as harshly as the University permits. I will report any student behavior that appears contrary to the standards of discipline and academic honesty or violations of the provisions described in the current edition of NPS Student's Catalog.
CLASS ATTENDANCE AND ENVIRONMENT: You should do every attempt to arrive on time and attend each class. You are responsible for the material covered in missed classes. I do not tolerate any rude behavior; however, I encourage constructive comments on the material and/or lecture. We have to maintain a class environment conducive to learning therefore I am against bringing �active� cell phones, pagers, and other similar disruptive devices into the classroom. Children may not be brought into the classroom except in emergency circumstances and with my permission. Do not bring food (drinks are fine) in classroom. When on breaks, please respect other classes in sessions and avoid disturbing them.
NOTES:
* It is a bit of material to be covered at a very fast pace, so, I advise
you not to fall behind.
* If it is necessary, there will be updates of this handout. Make sure you
check my homepage regularly for info on the course.
* Good luck ! I hope you will all master ODE and make good grades!