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Time:      MWF period 4 

Place:     MAT 7

Phone:    352-294-2339

Office:     438 Little Hall

Email:     avince@ufl.edu

 

Textbook:  Fundamentals of Differential Equations (7th edition)

                    by Nagle, Saff, Snider

 

 

                                            

Course instructions starting on Monday, March 16:

The course is now on canvas. 
Online lectures are located in Module 4 (Laplace Transform Methods) and 
    Module 5 (Series Methods). 
There are 12 lectures. I suggest pacing it so that you finish before April 20. 

I will post homework assignments (with due dates) on our class web page and on 
canvas (under assignments). 
Homework can be submitted in pdf format via canvas or by email. 
You can ignore the homework assignments, quizes, etc., posted on canvas.
They do not pertain to our section. 

Our last exam (Exam 3) will be given on April 20, as originally scheduled. 
I am not yet sure exactly how - details forthcoming. 

Office hours will take place via Zoom conferencing on MF at 10:30 am (our usual class time).
This can be accessed via canvas. This will start on Wednesday, March 18. 

I will communicate with you via canvas.
So please check every now and then.

 

Links

 

Homework

Page 5 #1-16 odd
Page 13  #3,9,15,23,25,27
Page 21  #2,3
   due Monday 13 Jan 
       	
Page 46  #17-25 odd, 33,34
Page 54  #7-11 odd, 17-21 odd 
Page 64  #9-19 odd, 21-25 odd
Page 76  #9,11,13,17,19,21,23
   due Wed 22 Jan
       
Page 100 #3,19,21,25 
Page 107 #2 
Page 115 #1,6
    due Wed 29 Jan
    
Page 28 (1.4) #5
Page 130 #7
Problem on the definition of linear (from class)
    due Fri 7 Feb

Page 164 (4.2) #1,5,13,17,26,37
Page 173 (4.3) #9,11,13,21,23,28,32,33  
Page 220 (4.9) #1,3,9  
     due Fri 21 Feb
        
Page 180 (4.4) #11,15,29,31    
Page 185 (4.5) #7,19,27        
Page 191 (4.6) #1,3,5 
Page 200 #41,45        
      due Mon 9 March
          
Page 360 (7.2) #9,17,18,23,24,29bcd  
Page 365 (7.3) #1-20 (as many as you need)  
Page 374 (7.4) #7,8,21,23,24  
Page 382 (7.5) #1-21 (as many as you need),25,35,36  
due March 28
     
Page 390 (7.6) #3,9,21,23,27,29,30
Page 396 (7.7) #5,7 
Page 404 (7.8) #1,2,8,9           
Page 410 (7.9) #4,10,14,29 
due April 9
        
Page 425 (8.1) #1-6,9abc
Page 433 (8.2) #1-5,9,11,17,18,21-24,27
Page 443 (8.3) #1-10 (any 5), 11-18 (any 3), 19-24(any 2), 25-28 (any 2)
Page 449 (8.4) #1,3,5,7,9,13,15,17
due April 20

Ignore the following:
Page 271 (5.4) #1,5,7,13,28               
Page 500 (9.1) #1,6               
Page 513 (9.3) #21,27,35          
Page 531 (9.5) #11,12,17,31,32     

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Topics

Introduction     

      What is a differential equation  
      Ordinary – partial; linear – nonlinear     
      Order of a differential equation     
      Exact vs numerical solutions to a differential equation     
      Existence and uniqueness of first order ODEs     
      Direction fields Euler’s method 

First Order Differential Equations      

      Separable DEs     
      Linear DEs     
      Exact DEs     
      Bernoulli equation      
      Substitution

Modeling with First Order Equations     

      Population models – logistic equation
      Mixing problems
      Newtonian mechanics
      Heating and cooling

Linear Second Order Equations     

      Spring problems     
      Constant coefficients – homogeneous     
      Constant coefficients – non-homogeneous     
      Variation of parameters     
      Undetermined coefficients

Laplace transform methods     

       Laplace transform and the inverse     
      Solving initial value problems     
      Laplace transform of discontinuous functions, periodic functions, Dirac Delta function
      Convolutions

Systems of Equations         

      Phase plane, equilibrium solutions, trajectories
      Classification of critical points
      Matrix methods for linear systems

 

Messages

Welcome to Differential Equations

Free tutoring at the Teaching Center, SW Broward Hall. Check Teaching Center for the time schedule.

Students with disabilities requesting accommodations should first register with the Disability Resource Center (352-392-8565) by providing appropriate documentation. Once registered, students will receive an accommodation letter which must be presented to the instructor when requesting accommodation. Students with disabilities should follow this procedure as early as possible in the semester.

The course will be conducted in accordance with the academic honesty policy, and policy regarding the use of copyrighted material.

“Requirements for class attendance and make-up exams, assignments, and other work in this course are consistent with university policies that can be found at: attendance policies.

Information on current UF grading policies for assigning grade points may be found at: grades.

Students are expected to provide feedback on the quality of instruction in this course by completing a course evaluation online via GatorEvals. Guidance on how to give feedback is available at https://gatorevals.aa.ufl.edu/students/. Students will be notified when the evaluation period opens and can complete evaluations through the email they receive from GatorEvals, in their Canvas course menu under GatorEvals, or via https://ufl.bluera.com/ufl/. Summaries of course evaluations results are available to students at https://gatorevals.aa.ufl.edu/public-results/.

Grades

 

Honorlock will proctor your the last exam this semester. Honorlock is an online proctoring service that allows you to take your exam from the comfort of your home. You DO NOT need to create an account, download software or schedule an appointment in advance. Honorlock is available 24/7 and all that is needed is a computer, a working webcam, and a stable Internet connection.

To get started, you will need Google Chrome and to download the Honorlock Chrome Extension. You can download the extension at www.honorlock.com/extension/install 

When you are ready to test, log into Canvas, go to your course, and click on your exam. Clicking “Launch Proctoring” will begin the Honorlock authentication process, where you will take a picture of yourself, show your ID, and complete a scan of your room. Honorlock will be recording your exam session by webcam as well as recording your screen. Honorlock also has an integrity algorithm that can detect search-engine use, so please do not attempt to search for answers, even if it’s on a secondary device.         

Honorlock support is available 24/7/365. If you encounter any issues, you may contact them by live chat, phone (855-828-4004), and/or email (support@honorlock.com). 

More information at:  https://dce.ufl.edu/media/dceufledu/pdfs/Honorlock-Student-Exam-Preparation-Information.pdf

Three exams: 30% each

  Exam 1:  Feb 5

  Exam 2:  March 13

  Exam 3:  April 20   

Homework: 10%

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(not the recommended method for remembering formulas)