DIFFERENTIAL EQUATIONS SECTION 4 SPRING 2023 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 7336 6935.
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.

You can see everything we did last semester in this course here:Fall 2022 Differential Equations Notes and Tests.

OLD FINAL EXAMS

TRY PROBLEMS EVERY DAY!
EXAMS WILL BE ANNOUNCED BELOW






PLEASE READ ALL INSTRUCTIONS ABOVE AND KEEP UP WITH CLASS.




ZOOM LINK FOR VIRTUAL MEETINGS, VIRTUAL OFFICE HOURS ETC., HAS BEEN POSTED ON CANVAS.

1/30/23 MONDAY
Today we did some more problems involving separable differential equations.
Notes (Updated ;Please reload page) : Solving first order Differential Equations.
Please try the following from 2.2:
2.2: problems 23, 31, 33, 37.



1/27/23 FRIDAY
LINK FOR WATCHING VIDEO WILL BE POSTED ON CANVAS
Today we looked at solving separable differential equations.
Notes (Updated ;Please reload page) : Solving first order Differential Equations.
Please try the following from 2.2:
2.2: problems 1, 3, 7, 9, 17, 19, 21.



1/26/23 THURSDAY
TOMORROW, FRIDAY, NO IN PERSON CLASS
I WILL BE RECORDING ON ZOOM AROUND 11 AM
YOU ARE WELCOME TO JOIN OR WATCH VIDEO LATER.
BOTH ZOOM LINK AND VIDEO LINK WILL BE POSTED ON CANVAS.

Please read solutions for Quiz 2 given below.
QUIZ II solutions

QUIZ II problems

We will start 2.2 tomorrow.



1/25/23 WEDNESDAY
QUIZ II THURSDAY ON 1.3 AND 2.1.
Sample problems in Quiz 2 and Quiz 3 of last semester (except you won't need to do any integration).
Today we looked at direction fields and phase portraits and what they tell us about differential equations.
Notes : Solving first order Differential Equations.
Please try the following from 2.1:
2.1: problems 1, 3, 19, 21, 23.



1/24/23 TUESDAY
QUIZ II THURSDAY ON 1.3 AND 2.1.
Yesterday we continued to discuss how to write differential equations for various real world situations.
Notes : Differential Equations as Models
Please try the following from 1.3 in addition to the ones from friday:
1.3: problems 9, 11, 23.



1/20/23 FRIDAY
Today we discussed how to write differential equations for various real world situations.
Notes from Today : Differential Equations as Models

Please try the following:
1.3: problems 1, 3, 7, 17, 21.



1/18/2023 THURSDAY
Please read solutions for Quiz 1 given below.
QUIZ I solutions

QUIZ I problems

We will start 1.3 tomorrow.



1/18/23 WEDNESDAY
QUIZ I THURSDAY BASED ON ALL 1.1 AND 1.2 PRACTICE PROBLEMS ASSIGNED SO FAR.

Today we discussed interval of definition, explicit and implicit solutions and existence and uniqueness of solutions of differential equations.
Notes from Today (with more worked examples -please reload!): Definitions and existence of solutions

Please try the following:
1.1: problem 15, 17, 19, 21, 23.
1.2: problems 15, 17, 21, 25, 27.
Apologize for typo on friday. Problems from friday are in 1.1.



1/13/23 FRIDAY
QUIZ I THURSDAY BASED ON 1.1 AND 1.2 PRACTICE PROBLEMS.

Today we discussed numerical solutions, interval of definition, normal form (using differentials) and explicit and implicit solutions of differential equations.
Notes from Today (with more worked examples): Introduction to Differential Equations and Definitions and different types of solutions to Differential Equations.
The notes are slightly modified from last semester. For example I added the solution of 1.1 problem 16 in the second powerpoint.

Please try the following:
1.1: problem 15, 17, 19, 21, 23.



1/12/23 THURSDAY
Today we continued to discuss the basics of differential equations using the example of the equations relating to motion of an object under gravity.
Notes from Monday, Wednesday and Today: Introduction to Differential Equations.
Please try the following:
1.1: problems 7, 9.
1.2: problem 1.



1/12/23 THURSDAY
Yesterday we discussed the basics of differential equations using the example of the equations relating to motion of an object under gravity.
I will post updated notes soon, but meanwhile please check out the "Introduction to Differential Equations" notes from 8/22/2022.
You can get there by clicking on "Fall 2022 notes and tests" above.
Please try the following:
1.1: problems 1, 3, 5, 7.
1.2: problems 9, 11, 13.



1/10/2023 TUESDAY
Here is the article about "supertall" skyscrapers that I talked about:HOW TALL IS TOO TALL?

Here is a nice article about the origins of the theory of gravity:University of Virginia Physics Lecture Notes on Gravity

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.