(C) 2017/2018 Igor Zelenko, all rights reserved.

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Math 308: 519&521

 Daily Schedule, Lecture Notes, Announcements, Homework assignments

  • Lecture notes will be posted as they become available.
  • This schedule is tentative and subject to change.

  Date Homework assignments
Sections covered in class
Announcements&Recommendations Lecture Notes
Week 1


8/30
Homework assignment 1
due 09//06
Syllabus

1.2

  • Read syllabus
Lecture  notes with spaces
without spaces   


      9/01

2.2

Lecture notes with spaces
without spaces

Enrichment 1
9/04
2.2 (continued), 2.1 (started)

solution of item 5 of the notes of 9/01



Week 2





9/06 Homework assignment 2 is posted on eCampus, due September 13 at the beginning of class
2.1 (continued), 2.3 (model of mixing), 2.6 (started)
    Lecture notes with spaces
    without spaces
    Enrichment 2
    9/08

    2.6(continued), 1.1 (started)
    Solutions of homework#1 are posted on eCampus
    Lecture notes on direction fields with spaces without spaces

    Lecture notes on existence and uniqueness with spaces without spaces

    Enrichment 3
    9/11

    1.1 (continued), 2.4

    Lecture notes  with spaces without spaces

    Week 3
    9/13

    2.4 (continued), 2.5

    9/15
    Homework assignment 3 is posted on eCampus, due September 20 at the beginning of class 2.5 (continued)

    Lecture notes on systems of ODEs
    with spaces, without spaces UPDATED with phase portraits
    Lecture notes on linear systems and matrix arithmetics
    with spaces, without spaces
    9/18

    2.5(continued), 7.1
    Submission of homework#3 is postponed to Friday, September 22
    Office hour on Tuesday, Sep 19 are postponed to Thursday, Sep 21, 1-2 pm


    Week 4

    9/20

    7.2
    Submission of homework#3 is postponed to Monday, September 25

    Midterm exam 1 is postponed to October 5



    9/22

    7.4
    Solutions of homework 2 is posted on eCampus
    Lecture notes on determinants and fundamental set of solutions with spaces, without spaces
    9/25
    Homework assignment 4 is posted on eCampus, due October 4 at the beginning of class Properties of determinants
    The lecture notes posted for this date is the last material for midterm 1
    Lecture notes on the role of eigenvalues and eigenvectors, case of distinct real eigenvalues, examples for $n=2, and application to equations of second order with spaces, without spaces
    Week 5


    9/27

    7.4 again
    The file with topics to know for the midterm exam 1 together with the list of suggested practice problems from the homework assignments of the previous semesters is posted on eCampus
    Lecture notes on Gauss elimination and example of case n=3, distinct real eigenvalues with spaces, without spaces
    9/29
    Problem 4 of homework assignment 4 is postponed to next homework. You do not need to submit this problem  on Wednesday, October 4.
    7.5 and 7.3 (eigenvalues and eigenvectors}
    The room for the midterm exam is  Blocker 169. Again the test is on October 5 , 8-10 pm. Bring your ID
    I also updated the file of topics to know: systems of 3 equations (section 14 of the notes)  are excluded  from the topics for this exam.
    Solutions of homework #3 are posted on eCampus.
    Completed notes of sections 12 and 13 (Updated)

    Enrichment 4 (Abel's theorem)
    10/02




    Week 6

    10/04


    Special office hours before the test will be on Thursday, October 5, 11:30 am-3:30 pm.
    Solutions of homework #4 are posted on eCampus.
    Lecture notes on the case of complex eigenvaues with spaces, without spaces

    10/06
    Homework assignment 5 is posted on eCampus, due October 13 at the beginning of class


    10/09


     


    Week 7

    10/11


    Submission of homework#5 is postponed to Monday, October 16 Lecture notes on undamped and dumped unforced vibratons with spaces, without spaces
    10/13




    10/16
    Homework assignment 6 is posted on eCampus, due October 23 at the beginning of class
    Solutions of homework #4 are posted on eCampus. Lecture notes on repeated roots and matrix exponential  with spaces, without spaces
    Week 8



    10/18



    Enrichment 5 (Euler's equations)
    Enrichment 6 (factoring differential operator+reduction of order)
    Lecture notes on algebraic and geometric multiplicity, generalized eigenvectors with application to  the case n=2 with spaces, without spaces
    10/20


    Submission of homework#6 is postponed to Wednesdday, October 25
    10/23



    Lecture notes on general case of repeated eigenvalues  with application to  the case n=3 with spaces, without spaces

    Week 9

    10/25
    Homework assignment 7 is posted on eCampus, due November 1 at the beginning of class


    10/27



    Enrichment 7
    (the case of eigenvalue with algebraic multiplicity 3);
    Lecture notes on method of variation of parameters with spaces, without spaces
    10/30


      Solutions of homework #6 are posted,
    Midterm exam 2 will take place on November 9, 8-10 pm

    Week 10

    11/01
    Homework assignment  8 is posted on eCampus, due November 8 at the beginning of class
    Concepts to know for exam 2 are posted on eCampus
    Lecture notes on  method of undetermined coefficients with spaces, without spaces
    11/03



    Lecture notes on basic Laplace transform with spaces, without spaces

    Beamer presentation on partial fraction decomposition for inverse Laplace transform of a rational fanction
    Enrichment 8 (about partial fraction decomposition over  complex numbers)
    11/06

    Solutions of homework #7 are posted,

    Week 11 11/08


    Midterm exam 2 will take place in Blocker 166 on November 9, 8-10 pm Lecture notes on step functions and differential equations with discontinuous forcing functions with spaces, without spaces,

    11/10
    Homework assignment #9 is posted on eCampus, due November 20



    11/13



    Lecture notes on impulse function and convolution integrals,
    with spaces, without spaces
    Week 12

    11/15



    Lecture notes on power series
    with spaces, without spaces
    11/17



    completed notes of section 23
    completed notes of section 24
    Lecture notes  on Series of Solutions near an ordinary point
    with spaces, without spaces
    11/20
    Homework assignment #10 is posted on eCampus , due November 29

    completed notes of section 25
    Week 13

    11/27


    Solution of homework #9 is posted in eCampus
    completed notes of section 26
    11/29



    Lecture notes  on Phase Plane: Linear System
    with spaces, without spaces

    Completed handwritten notes on this topic part 1 ,part2 (updated)
    12/01
    Bonus Homework assignment  #11 is posted on eCampus, due December 8, 2 pm to my mailbox, Blocker 226.

    Notes of extra class of the evening of November 30 on  Step function, Convolution, and Power series
    Week 14

    12/04


    Please complete Course evaluation of my teaching. Go to
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    title: Course Evaluations - Fall Semester 2017, and a link to follow;
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            Notes on stability of critical points and nonlinear systems  with spaces   without spaces                                           

    12/06

    Last day of classes

    Handwritten completed notes of section 28
    Enrichment 9




    Notes of extra class of December 6 on Series Solutions, critical points, stability, and phase plane of linear and nonlinear systems
    pages 1-14
    page 15 (sketch of the phase portrait for the last problem)
    Final Exam
    Section
    Day
    Time
    Location
    519
        Monday, Dec. 11
    8-10 am
    Block 149
    521
         Wednesday, Dec 13
    10:30 am-12:30 pm
    Block 149