
Course Information  information.pdf
The text book will be "Elementary Differential Equations and Boundary Value Problems, 11th edition", by Boyce, DiPrima, & Meade, published by Wiley. However the 10th edition is fine as well for most of the material, however the homework problem numbering is different in different editions. Thus if you use an older edition, you will need to borrow the 11th edition to compare difference in numbering for the homework.Your instructor is Prof. Katrina Barron: Email: kbarron@nd.edu.
Class is held MWF 12:50pm1:40pm in DBRT 317.
Note! Here is our current mask policy: The COVID19 levels in the community are very low now, but are rising. There have been students and faculty on campus who have had COVID cases that are not being reported on the ND dashboard and some of these are severe. It is currently highly recommended that you wear a mask. If cases continue at this pace or rise, we will reinstitute a mandatory (rather than recommended) in class mask policy.
Resources
Office Hours will be Monday and Wednesday, 2:00pm  3:00pm in my office, 276C Hurley, Monday 7:00pm8:00pm on Zoom via our class Zoom link if reserved by appointment prior, and MWF in our classroom before class, 12:25pm12:45pm, or by appointment. Questions via email are also welcomed.The Math Help Rooms and the Math Bunker will by running this semester. More information is available here: Math Help Rooms/Math Bunker
The Math Bunker is running starting Sunday, January 16th in the basement of HayesHealy, and is open for drop in help SundayThursday 7pm9pm with an extra hour (9pm10pm) on Wednesdays.
Course Updates and Announcements
Current mask policy: For now masks are optional but highly recommended. If you are feeling ill at all though or think you may have been exposed to an airborne disease such as COVID or the flu, please get tested and wear your mask or stay home and ask for a recording of class. The COVID19 levels in the community are very low now, but are rising. There have been students and faculty on campus who have had COVID cases that are not being reported on the ND dashboard and some of these are severe. It is currently highly recommended that you wear a mask. If cases continue at this pace or rise, we will reinstitute a mandatory (rather than recommended) in class mask policy.We will have extra office hours during the reading period before Final Exams. Please let me know what times might be best.
Schedule and Homework  Homework is to be turned in at the beginning of class on the day it is due.
Course Schedule, and Reading and Homework Assignments
Date  Reading, Watching & Topics  Assignment  Due Date 
M 1/10 
Read the information sheet linked above. Read Sections 1.11.3: Review from Calc II & Classification of Diff Eqs 
Section 1.1, p. 8: #1, 2. Section 1.2, p. 15: #1. Section 1.3, p. 22: #1, 4, 5, 8, 9, 11, 12, 15. 
HW 1: F 1/21 
W 1/12 
Section 2.1: Linear ODEs & Integrating Factors 
Section 2.1, pp. 3132: #1c, 5c, 7c, 9, 11, 12, 13, 21, 23.  HW 1: F 1/21 
F 1/14 
Section 2.2: Separable ODEs 
Section 2.2, p. 38: #1, 2, 4, 5, 9ac, 11ac, 15ac, 16ac, 19.  HW 1: F 1/21 
M 1/17  MLK Day  No Class  None 
W 1/19 
Examples from Sections 2.1 & 2.2, & Section 2.3 Modeling with 1st order ODEs 
Section 2.3, pp. 4749: #2, 3, 6, 7, 12, 15, 16.  HW 2: F 1/28 
F 1/21 
Section 2.3 Activity 1 on Modeling 
Work on Activity 1 on Modeling in class. Continue to work on problems assigned for Section 2.3. HW 1 due 
HW 2: F 1/28 
M 1/24 
More on Activity 1 & Start Section 2.4 Existence & Uniqueness for Lin. v. Nonlin. 1st order ODEs 
Work more on Activity 1 in class. Extra info given: T(1) = 81.5 degrees Fahrenheit for Part II, murder mystery. Section 2.4, p. 57: #1, 2. 
HW 2: F 1/28 
W 1/26 
Section 2.4 Existence & Uniqueness 
Section 2.4, pp. 5758: #5, 6, 8, 9, 11, 17, 18, 19.  HW 3: F 2/4 
F 1/28 
Sections 2.4 & 2.5 Existence & Uniqueness, & Autonomous ODEs 
Section 2.5, pp. 6768: #2, 4, 5, 6, 8, 15, 18. HW 2 due, and Activity 1 due. 
HW 3: F 2/4 
M 1/31 
Sections 2.5 Autonomous ODEs 
Continue to work on the Homework from Sections 2.4 and 2.5.  HW 3: F 2/4 
W 2/2  No class.  HAPPY SNOW DAY!!  None. 
F 2/4 
Section 2.6 Exact Equations & Integrating Factors & In class Quiz 
Section 2.6, p. 75: #1, 3, 4, 6, 7, 9, 11, 15, 18, 20, 21. We will have a short in class Quiz focusing on HW 12, Sections 1.11.3, & 2.12.4 (first part  Theorem 2.4.1). HW 3 is due. 
HW 4: F 2/18 
M 2/7 
Section 2.6 Integrating Factors for NonExact Equations 
Continue to work on homework assigned for Section 2.6. 
HW 4: F 2/18 
W 2/9 
In class will be a nonmandatory Q&A on Exam I 
Exam I will focus on material from HW 13, up through and including Section 2.5. Class time will be for questions and answers on the exam material. The exam will be scheduled outside of class time on Thursday. 
None. 
Th 2/10 
Exam I 3:305:15pm DBRT 318 6:008:15pm HayesHealy 117 
Exam I will focus on material from HW 13, up through and including Section 2.5. You may come at any time to either session, and may stay for up to 1 hour and 45 minutes if you wish. 
None. 
F 2/11 
Activity 3 & Section 3.1 2nd Order Linear Homogeneous ODEs with Constant Coefficients 
We will have an in class activity on the epidemiology of small pox. Section 3.1, p. 109: #1, 4, 7, 9, 10, 13, 16, 17. 
HW 4: F 2/18 
M 2/14 
Sections 3.1 & 3.2 Finding a complete set of solutions Existence and Uniqueness Theorem 
Finish Activity 3 for Wednesday. Continue to work on Homework for Section 3.1. 
HW 4: F 2/18 
W 2/16 
Section 3.2 The Wronskian 
Section 3.2, p. 119: #1, 3, 4, 6, 7, 8, 11, 14, 17, 19, 20, 23, 25, 27, 29. Activity 3 is due. 
HW 5: F 2/25 
F 2/18 
Sections 3.2 & 3.3 Abel's Theorem & Complex Roots 
Section 3.3, pp. 125126: #1, 2, 4, 5, 6, 9, 12, 13, 14, 21, 23. HW 4 is due. 
HW 5: F 2/25 
M 2/21 
Sections 3.2, 3.3, & 3.4 More on Abel's Thm. & Complex roots & start Repeated roots. 
Continue to work on Homework for Sections 3.2 & 3.3.  HW 5: F 2/25 
W 2/23 
Sections 3.4 & 3.5 Repeated roots & Reduction of Order, & Intro to Nonhomogen. Eqn. 
Section 3.4, pp. 132133: #1, 4, 6, 9, 10, 12, 14, 20, 21, 22.  HW 6: F 3/4 
F 2/25 
Section 3.5 Nonhomog. Eqns. & Method of Undetermined Coeffs. 
Section 3.5, p. 141: #4, 5, 7, 8, 11, 13, 14, 16, 18. Also HW 5 is due. 
HW 6: F 3/4 
M 2/28 
Section 3.6 Nonhomog. Eqns. & Method of Variation of Parameters 
Section 3.6, p. 146: #1, 3, 4, 6, 8, 9, 10, 12, 13.  HW 6: F 3/4 
W 3/2 
Activity 5 on Change of Variables In class Quiz. 
We will have a short in class Quiz on HW 4 & 5, Sections 2.6, & 3.13.3. We will also start an Activity on Change of Variables. 
None. 
F 3/4  More on Activity 5 
We will finish most of Activity 5 in class. This activity will be due on Wed. 3/16. Also HW 6 is due. 
Act 5: W 3/16 
M 3/7  Spring Break!  No class!  None. 
W 3/9  Spring Break!  No class!  None. 
F 3/11  Spring Break!  No class!  None. 
M 3/14.159.... 
Section 3.7 Mechanical & Electrical Vibrations 
Section 3.7, pp. 157158: #1, 2, 3, 4, 6, 7, 12, 13, 14, 17.  HW 7: F 3/25 
W 3/16  Exam II Q&A in class  Exam II will focus on material from HW 46, Sections 2.6, & 3.13.6. In class I will answer questions on the material. In addition: Activity 5 is due. 
None. 
W 3/16 
Exam II 6:00pm  8:30pm HayesHealy 129 
You may come anytime during the blocks of time set aside to take Exam II on Wed and Thurs. Suggested amount of time you should budget for is 50 minutes to 1 hour and 45 minutes depending on how fast you want to work and how much you want to double check your work.  None. 
TH 3/17 
Exam II 4:30pm  7:00pm HayesHealy 117 
You may come anytime during the blocks of time set aside to take Exam II on Wed and Thurs. Suggested amount of time you should budget for is 50 minutes to 1 hour and 45 minutes depending on how fast you want to work and how much you want to double check your work.  None. 
F 3/18 
Section 3.8 Forced Mechanical & Electrical Vibrations 
Section 3.8, pp. 167168: #1, 2, 4, 6, 7, 13, 14.  HW 7: F 3/25 
M 3/21 
Video for Section 4.1 nth Order Linear ODEs 
You are assigned the video for Section 4.1 on Sakai panopto. There is no in person class. Section 4.1, pp. 173174: #1, 2, 3, 5, 7, 8, 9, 10, 12, 14, 15. 
HW 7: F 3/25 
W 3/23 
Video for Section 4.2 Homogeneous nth Order Lin. ODEs with Constant Coefficients 
You are assigned the video for Section 4.2 on Sakai. There is no in person class. Section 4.2, pp. 180181: #8, 14, 17, 20, 29. 
HW 8: F 4/1 
F 3/25 
Video for Sections 4.3 & 4.4 Nonhomogeneous nth Order Lin. ODEs Method of Undetermined Coefficients & Variation of Parameters 
You are assigned the video for Sections 4.2 & 4.3 on Sakai. There is no in person class. Method of Undetermined Coefficients: Section 4.3, p. 184: #1, 2, 5, 10, 11, 12. Method of Variation of Parameters: Section 4.4, p. 188: #1, 2, 3, 5, 9. HW 7 due in Prof. Barron's Math Dept mailbox 255 Hurley by 2pm. Please put it in the pink plastic folder. 
HW 8: F 4/1 
M 3/28 
Section 7.1 Intro to Systems of ODEs 
We resume in person class. Please come with questions on Chapter 4 . Section 7.1, pp. 284285: #1, 2, 4, 6, 8. 
HW 8: F 4/1 
W 3/30 
Sections 7.2, 7.3 & 7.4 Review of Linear Algebra & Basic Theory of 1st Order Linear Systems 
Section 7.2, pp. 293294: #1, 9, 11, 12, 13, 14, 16, 17, 19. Section 7.3, pp. 303304: #1, 2, 5, 6, 8, 11, 13, 14, 15, 19. 
HW 9: F 4/8 
F 4/1 
Sections 7.4 & 7.5 Basic Theory of 1st Order Lin. Systems & Homogeneous with Constant Coeff. Intro 
Section 7.4, pp 308309: #1, 3, 5, 8(a)(c), 9, 11, 12. Note: There is a typo in the text in 5(d). You should let t = 2 not t = 0, so that x(2) = (1,2)^T. 
HW 9: F 4/8 
M 4/4 
Sections 7.4 & 7.5 Basic Thry & Homogen. Constant Coeff. Real Eigenvalues 
Section 7.5, p. 318: #2b, 3b, 5b, 7, 10, 12, 18, 19.  HW 9: F 4/8 
W 4/6 
Section 7.5 Basis of Real Eigenvalues Quiz 6 
We will have a shortquiz in class on HW 78, Sections 3.7, 3.8, Chapter 4, and Section 7.1.  None. 
F 4/8 
Sections 7.6 & 7.7 Complex Eigenvalues & Fundamental Matrices 
Section 7.6, pp. 327329: #1b, 3b, 5, 7, 25(a)(c).  HW 10: F 4/22 
M 4/11 
Exam III Q & A in class 
Bring your questions on Exam III material to class. Exam III will be offered outside of class time on Tuesday and Wednesday outside of class time. The exam will focus on HW 79, Sections 3.7, 3.8, Chapter 4, & Sections 7.17.5. Also, in addition to usual office hours 2pm3pm today, there will be office hours on Zoom at 7pm, and office hours tomorrow (Tuesday) 1:30pm2:30pm. 
None. 
T 4/12 
Exam III 5:00pm  7:00pm DBRT 318 
Exam III will be offered today and Wednesday. The exam will focus on HW 79. The exam will focus on HW 79, Sections 3.7, 3.8, Chapter 4, & Sections 7.17.5. You may take as much as twice the 50 minute time for the exam during this time period.  None. 
W 4/13 
Sections 7.6, & 7.7. Nonhomeogeneous systems with Complex Eigenvalues & Fundamental Matrices 
Section 7.7, p. 336: #1, 3, 4, 7, 9.  HW 10: F 4/22 
W 4/13 
Exam III 5:30pm  8:30pm DBRT 215 
Exam III offered again.  None. 
F 4/15  Good Friday  No class!  None. 
M 4/18  Easter Monday  No class!  None. 
W 4/20 
Sections 7.8 Generalized Eigenvectors & Nonhomogeneous Linear Systems 
Section 7.8, pp. 342344: #1, 2, 4, 9(a) and 9(c), 17(a)(e).  HW 11: T 4/26 
F 4/22 
Section 7.9 Nonhomogeneous Linear Systems 
Section 7.9, pp. 351352: #1, 4, 5, 6, 10. Also HW 10 is due. 
HW 11: T 4/26 
M 4/25  Activity 7  We will have an in class activity on modeling of flow between reservoirs.  Activity 7: T 4/26 
T 4/26  More in class activities.  Since MLK Day was added as a day when classes do not meet, the administration added this day as an extra day for MWF classes. So we will meet. Also HW 11 is due and we will finish Activity 7.  None. 
W 4/27 
Extra Office Hours 2pm  3pm 
Drop in Office Hours 276C Hurley  None 
F 4/29 
Extra Office Hours 1pm  2pm 
Drop in Office Hours 276C Hurley  None 
M 5/2 
Extra Office Hours 2pm  3pm 
Drop in Office Hours 276C Hurley  None 
W 5/4 
Final Exam 8:00am  10:00am DBRT 317 
The final exam will cover all course material covered by homework assignments but will focus a little more on the material from HWs 10 & 11. You will have the same sheet of formulas as you had for Exam III. Also if you are doing any part of Extra Credit Activity 8, you should hand it in at the final exam or earlier in my Math Department mailbox. 
None 
Last updated April 29, 2022.