DIFFERENTIAL EQUATIONS SECTION 2 FALL 2022 UPDATE PAGE
SITARAMAN
Here you will see information on what was covered in class, upcoming quizzes, and solutions to exams
CHECK HERE EVERYDAY !
COURSE PAGE WITH SYLLABUS, GRADING SCHEME, ETC.,
SCROLL DOWN BELOW TO SEE SOLUTIONS OF TESTS AND QUIZZES FROM THIS COURSE
OPTIONAL: It will be useful to have access the online homework website Webassign.
CLASS KEY: HOWARD 7741 9264.
You will also need access code that you got when you bought book or e-book.
SYLLABUS
Will try to stick to this schedule as much as possible.
OLD
FINAL EXAMS
HOMEWORK PROBLEMS ARE ALMOST 1/3 OF GRADE.
TRY PROBLEMS EVERY DAY!
EXAMS WILL BE ANNOUNCED BELOW
PLEASE READ ALL INSTRUCTIONS ABOVE AND KEEP UP WITH CLASS.
12/13/2022 TUESDAY
Grades have been posted on banner. Please wait until it gets published.
Please read solutions for Final exam given below.
Final exam solutions
Final exam problems
Enjoy the break!
FINAL EXAM FRI DEC 9, 2-4pm, SAME ROOM.
Study practice tests, class notes, quiz and test solutions, and old final exams (see link above)
REVIEW WEDNESDAY AT 2PM IN USUAL CLASS ROOM, THU 11 to 12.30 ON ZOOM.
ADDITIONAL PRACTICE PROBLEMS.
IF YOU HAVE ACCESS TO WEBASSIGN, YOU CAN DO THIS THERE, AND MAKE USE OF ADDITIONAL FEATURES.
On Webassign, go to "Past Assignments" and click on "Additional Problems Final."
12/5/2022 MONDAY
TOTAL UPTO 12/5 POSTED ON BLACKBOARD. SEE "CONTENTS."
I have dropped lowest 2 tests and 2 quizzes.
11/30/2022 WEDNESDAY
Please read solutions for Test III given below.
TEST III solutions
TEST III problems
We will start reviewing for final exam friday.
TEST 3, WED, NOV 30.
TEST 3 WILL COVER 5.1, 6.1, 6.2, 7.1, 7.2.
PLEASE STUDY CLASS NOTES, QUIZ SOLUTIONS AND PRACTICE PROBLEMS FROM TEXTBOOK.
TEST III PRACTICE.
IF YOU HAVE ACCESS TO WEBASSIGN, YOU CAN DO THIS THERE, AND MAKE USE OF ADDITIONAL FEATURES.
On Webassign, go to "Past Assignments" and click on "Test 3 Practice."
11/28/2022 MONDAY
Today we talked about solving systems of linear equations using matrices.
Notes for today on chapter 8 Solving systems of ODE's using matrices.
Practice problems: 8.2 problems: 3, 5, 13.
TOMORROW REVIEW FOR TEST 3.
11/22/2022 TUESDAY
Today we talked about solving 2nd order linear equations using Laplace transforms.
Notes for today on chapter 7 (Refresh browser!) Solving ODE's using Laplace transform
PLEASE REVIEW INTEGRATION BY PARTS AND IMPROPER INTEGRALS FROM CALCULUS II.
Practice problems: 7.2 problems 19, 21, 23, 39, 41.
11/22/2022 MONDAY
Quiz 9 solutions
Notes for yesterday on chapter 7 (Refresh Browser!) Solving ODE's using Laplace transform
PLEASE REVIEW INTEGRATION BY PARTS AND IMPROPER INTEGRALS FROM CALCULUS II.
Practice problems: 7.1 problems 1, 3, 5, 11, 13, 18.
7.2: 1, 9, 11, 13, 37.
11/18/2022 FRIDAY
Please do Quiz 9 given below at home and bring it class no later than monday.
Quiz 9 problems
We will start 7.2 monday.
11/17/2022 THURSDAY
Please note the correction in the notes below, in the section on Fourier transform. I should have used the cosine function.
Notes for yesterday on chapter 7 Solving ODE's using Laplace transform
PLEASE REVIEW INTEGRATION BY PARTS AND IMPROPER INTEGRALS FROM CALCULUS II.
Practice problems: 7.1 problems 7, 19, 23. 27. 31.
11/15/2022 TUESDAY
Notes for today on chapter 6 Solving ODE's using power series
PLEASE REVIEW POWER SERIES FROM CALCULUS II.
Practice problems: 6.2 problems 3, 7, 9, 11, 19.
11/14/2022 MONDAY
Notes for today on chapter 6 Solving ODE's using power series
PLEASE REVIEW POWER SERIES FROM CALCULUS II.
Practice problems: 6.1 problems 1, 3, 5, 7, 13, 15, 17, 31, 33, 35, 37.
11/9/2022 WEDNESDAY
Please read solutions for Quiz 8 given below.
Quiz 8 solutions
Quiz 8 problems
We will start 6.1 monday.
11/8/2022 TUESDAY
Next quiz will be on wednesday, 11/9, on all of 5.1.
Notes for today on chapter 5 (Updated -- Refresh browser!) Models using Higher Order ODE's
Practice problems: 5.1 problems 33, 35.
11/7/2022 MONDAY
Next quiz will be on wednesday, 11/9, on all of 5.1.
Notes for today on chapter 5 (Updated -- Refresh browser!) Models using Higher Order ODE's
Practice problems: 5.1 problems 25, 27, 29.
11/4/2022 FRIDAY
Next quiz will be on wednesday, 11/9.
Notes for today on chapter 5 Models using Higher Order ODE's
Practice problems: 5.1 problems 1, 3, 5, 9.
11/1/2022 TUESDAY
Please read solutions for Test II given below.
TEST II solutions
TEST II problems
We will continue with 5.1 tomorrow - wednesday.
TEST 2 ON TUE NOV 1. WILL COVER 2.6 to 4.4.
PLEASE STUDY CLASS NOTES, QUIZ SOLUTIONS AND PRACTICE PROBLEMS FROM TEXTBOOK.
TEST II PRACTICE.
IF YOU HAVE ACCESS TO WEBASSIGN, YOU CAN DO THIS THERE, AND MAKE USE OF ADDITIONAL FEATURES.
CURRENT TOTAL (1 TEST, 5 QUIZZES, TOTAL 250) POSTED ON BLACKBOARD.
10/29/2022 SATURDAY
Because I am running in the Marine Corps marathon on sunday, monday's class (test 2 review) will be on zoom.
Notes for yesterday on chapter 4 (Updated -- Reload this page first) Basics of Higher Order ODE's
Practice problems: See test 2 practice.
10/26/2022 WEDNESDAY
Notes for today on chapter 4 (Updated -- Reload this page first) Basics of Higher Order ODE's
Practice problems: 4.4 problems 1, 5, 7, 31.
We will finish 4.4 friday.
10/25/2022 TUESDAY
Please read solutions for Quiz 7 given below.
Quiz 7 solutions
Quiz 7 problems
We will start 4.4 wednesday.
10/24/2022 MONDAY
Notes for today on chapter 4 (Updated -- Reload this page first) Basics of Higher Order ODE's
Practice problems: 4.3 problems 3, 6, 9, 13.
10/21/2022 FRIDAY
Notes for today on chapter 4 (Updated -- Reload this page first) Basics of Higher Order ODE's
Practice problems: 4.1 problems 31, 33 ; 4.2 problems 1, 3, 7, 9, 17, 19.
10/19/2022 WEDNESDAY
FRIDAY'S CLASS WILL BE ON ZOOM.
Notes for today on chapter 4 (Updated -- Reload this page first) Basics of Higher Order ODE's
Practice problems: 4.1 problems 23, 25, 27.
10/18/2022 TUESDAY
QUIZ 7 next tuesday.
CURRENT TOTAL (1 TEST, 5 QUIZZES, TOTAL 250) POSTED ON BLACKBOARD.
Notes for today on chapter 4 (Updated -- Reload this page first) Basics of Higher Order ODE's
Practice problems: 4.1 problems 3, 9, 13, 15, 17, 19, 21.
10/17/2022 MONDAY
Please read solutions for Quiz 6 given below.
Quiz 6 solutions
Quiz 6 problems
We will continue 4.1 monday.
10/14/2022 FRIDAY
QUIZ MONDAY ON 3.2,3.3, 4.1
CURRENT TOTAL (1 TEST, 5 QUIZZES, TOTAL 250) POSTED ON BLACKBOARD.
We discussed a modified logistic modeling for population growth involving non-linear ODE (3.2).
Notes for today on chapter 4 introduction Basics of Higher Order ODE's
Notes for today on systems of linear equations : (Updated -- Reload this page first) Modeling with First order ODE's
Practice problems: 3.3 problems 1, 2 AND 4.1 problems 1, 7.
10/12/2022 WEDNESDAY
We discussed a modified logistic modeling for population growth involving non-linear ODE (3.2).
Notes for today : (Updated -- Reload this page first) Modeling with First order ODE's
Practice problems: 3.2 problems 5, 6.
10/11/2022 TUESDAY
We discussed logistic modeling for population growth involving non-linear ODE (3.2).
Notes for today : (Updated -- Reload this page first) Modeling with First order ODE's
Practice problems: 3.2 problems 1, 3.
10/7/2022 FRIDAY
Please read solutions for Quiz 5 given below.
Quiz 5 solutions
Quiz 5 problems
We will start 3.3 monday.
10/5/2022 WEDNESDAY
We finished discussing modeling with first order ODE's (3.1).
Notes for today : (Updated -- Reload this page first) Modeling with First order ODE's
Practice problems: 3.1 problems 13, 15, 17, 21, 25, 35.
10/4/2022 TUESDAY
We discussed modeling with first order ODE's (3.1).
Notes for today : Modeling with First order ODE's
Practice problems: 3.1 problems 1, 3, 5, 9, 11.
10/3/2022 MONDAY
We discussed numerical methods, mainly Euler's (2.6).
Notes for today (updated -- please reload) : First order ODE's
Practice problems: 2.6 problems 1 and 3.
9/30/2022 FRIDAY
Please read solutions for Test 1 given below.
TEST I solutions
TEST I problems
We will continue with 2.6 monday.
TEST I ON FRIDAY SEP 30. WILL COVER ALL UP TO 2.5.
PLEASE STUDY CLASS NOTES, QUIZ SOLUTIONS AND PRACTICE PROBLEMS FROM TEXTBOOK.
TEST I PRACTICE.
IF YOU HAVE ACCESS TO WEBASSIGN, YOU CAN DO THIS THERE, AND MAKE USE OF ADDITIONAL FEATURES.
9/27/2022 TUESDAY
We did problems on solving using substitution, for homogenous and Bernoulli equations (2.5).
Notes for today (updated -- please reload) : First order ODE's
Practice problems:
Same as yesterday.
9/26/2022 MONDAY
We discussed solutions using substitution, for homogenous and Bernoulli equations (2.5).
Notes for today (updated -- please reload) : First order ODE's
Practice problems:
2.5: 1, 7, 11, 15, 25..
9/25/2022 SUNDAY
Please read solutions for Quiz 4 given below.
QUIZ IV solutions
QUIZ IV problems
We will continue with 2.5 tomorrow.
9/21/2022 WEDNESDAY
We discussed solutions of exact equations (2.4).
Notes for today (updated -- please reload) : First order ODE's
Practice problems:
2.4: 1, 3, 9, 13, 21..
9/20/2022 TUESDAY
We discussed solutions of linear equations (2.3).
Notes for today (updated -- please reload) : First order ODE's
Practice problems:
2.3: 1, 3, 9, 17, 25.
9/19/2022 MONDAY
We discussed quiz 3 and singular and integral solutions of separable equations (2.2).
Notes for today (updated -- please reload) : First order ODE's
Practice problems:
2.2: 21, 23, 25, 29, 31.
9/16/2022 FRIDAY
Please read solutions for Quiz 3 given below.
QUIZ III solutions
QUIZ III problems
We will continue with 2.2 monday.
9/14/2022 WEDNESDAY
FRIDAY QUIZ 3 WILL HAVE PROBLEMS FROM 1.3, 2.1 AND 2.2.
STUDY CLASS NOTES AND PRACTICE PROBLEMS FROM TODAY, TUESDAY AND MONDAY.
We discussed direction fields and solution curves of autonomous equations and separable equations(2.1 and 2.2).
Notes for today on 2.1 and 2.2 (updated -- please reload) : Direction fields and solution curves
Practice problems: 2.1 : 19, 21, 39.
2.2: 1, 3, 5, 7, 17.
9/13/2022 TUESDAY
We discussed problems on mixing from 1.3 and also talked a bit about direction fields and solution curves (2.1).
Notes for today on direction fields : Direction fields and solution curves
Notes for today on mixing problems : Differential Equations and modeling
Practice problems: 1.3 : 11, 12, 23, 27.
9/12/2022 MONDAY
We discussed the quiz problems and also talked a bit about direction fields and solution curves (2.1).
Notes for today : Direction fields and solution curves
Practice problems: 2.1 : 1, 3, 15.
9/9/2022 FRIDAY
Please read solutions for Quiz 2 given below.
QUIZ II solutions
QUIZ II problems
We will continue with 1.3 monday.
9/7/2022 WEDNESDAY, 10pm
Today we discussed problems 2, 7 from 1.3 and the general process of modeling using ODE's.
Practice problems for quiz 2 friday sep 9 (please also study all class notes):
1.3: 3, 8, 17 (problem 17 worked out in notes. Please try first!)
1.2: 17, 19, 23, 29, 35. Problem 29 is worked out in notes below for yesterday (please try first!)
1.1: 34, 35, 37, 39.
Notes for today : Differential Equations and modeling
9/7/2022 WEDNESDAY
Yesterday we discussed problems 21 and the theorem on existence and uniqueness of solutions of first order ODE's from 1.2.
Some Practice problems for quiz 2 friday sep 9:
1.2: 17, 19, 23, 29, 35.
Problem 29 is worked out in notes below (please try first!)
(Updated -- reload page!) Notes for yesterday : Definition of Differential Equations and their solutions
We will do 1.3 today. Quiz 2 will include problems from 1.1, 1.2 and 1.3.
8/31/2022 WEDNESDAY
Today we discussed problems 29,30, and 33 from 1.1 and then started on existence and uniqueness of solutions of first order ODE's.
Some Practice problems for quiz 2 friday sep 9:
1.1: 34, 35, 37, 39.
(Updated -- reload page!) Notes for today : Definition of Differential Equations and their solutions
8/30/2022 TUESDAY
Today we discussed quiz problems and problem 15 from 1.1.
Will post practice problems starting tomorrow for quiz 2 friday sep 9.
(Updated -- reload page!) Notes for today : Definition of Differential Equations and their solutions
8/29/2022 MONDAY
Please read solutions for Quiz 1 given below.
QUIZ I solutions
QUIZ I problems
We will continue with 1.1 and 1.2 tomorrow.
8/26/2022 FRIDAY
Today we talked about explicit and implicit solutions and differential forms.
(Updated) Notes for today : Definition of Differential Equations and their solutions
We did problem 9,13 of 1.1 from book and some other example problems
Please try 10, 14 and 19 in same section (1.1) in addition to the ones assigned from 1.1 below.
Quiz on monday will be based on problems done in class and all practice problems from 1.1 and 1.2 assigned so far.
We will review some of them before the quiz on Monday.
8/24/2022 WEDNESDAY
Today we talked about examples of differential equations and some basic definitions.
Notes for today : Definition of Differential Equations and their solutions
We did problem 5 of 1.1 from book and some other example problems
Please try 1, 3, 7, 11, 13, 21, 23, 31, 41 in same section (1.1).
Quiz on monday will be based partly on these practice problems done in class and assigned here.
We will continue talking about basic definitions and theorems of differential equations friday.
8/23/2022 TUESDAY
Today we talked about applications of differential equations, vector fields, and initial value problems.
Notes (continued from yesterday) : Introduction to Differential Equations
We did problem 7 of 1.2 from book; Please try 8,9, and 10 in same section.
Quiz on friday or monday will be based on these practice problems done in class and assigned here.
We will start talking about basic definitions and theorems of differential equations tomorrow.
Please watch the video and the notes posted below (under 8/10/2022) for more about applications and the relationship of integration to differentiation.
8/22/2022 MONDAY
Today we had introductions of each other and to differential equations.
Introduction to Differential Equations
We will continue with the introductions tomorrow. Please watch the video and the notes posted below (under 8/10/2022).
8/10/2022 WEDNESDAY
Please study following to prepare for class:
Watch this video on coronavirus, exponential growth, and differential equations
REVIEW MATERIAL FROM CALCULUS I:
Powerpoint on integration basics
Notes from Fall 2020 on definite integrals.
A Brief Introduction to Calculus from Spring 2021.