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Differential Equations |
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Date
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Activities |
| ANN: Exam 1 will cover 1.1-1.4 and 2.1-2.6. ANN: You will see two assignments in MML that are due this upcoming Monday. They are Chapter O (Orientation) Homework which will cover the MML interface including how to enter answers and Chapter 1 Skills Check Homework which, for the first four chapters, will start us on the chapter by reviewing some needed pre-requisite skills. The syllabus will explain how we will usually have MML Homework due the Monday after the week we finish the notes in class. In class, we introduced ourselves to each other and talked over some bits from the syllabus (mainly MyMathLab (MML)) and class policies. Students completed First of Semester Quickie Survey so that I may know a bit of your histories. Most are turning that in on Monday. I also handed out a handout with information from the math tutoring center. We used to tutor your class in the STEM Center on the third floor but they are mostly down in CM 233 this semester. I will announce it if that changes. I handed out a Greek Alphabet List because we will use them a lot. It is a nice reference to keep in the front of your notebook. I also handed out some handouts to be used as cheat sheets for derivatives and integrals. They are http://tutorial.math.lamar.edu/pdf/Common_Derivatives_Integrals.pdf and http://integral-table.com/downloads/Basic-Integral-Table.pdf and http://integral-table.com/downloads/single-page-integral-table.pdf. These are resources that were not written by me so I do not house them on my Website. We started the Class Notes for 1.1, getting through example 1. We will continue next time. | |
| ANN: You will see two assignments in MML that are due tonight. They are Chapter O (Orientation) Homework which will cover the MML interface including how to enter answers and Chapter 1 Skills Check Homework which, for the first four chapters, will start us on the chapter by reviewing some needed pre-requisite skills. ANN: Please do not use Messages in Blackboard; email me at soleary@lc.edu instead. In class, I collected the First of Semester Quickie Survey. We finished the Class Notes for 1.1 and then started the Class Notes for 1.2, getting through page 3. | |
Jan. 29 |
[January 31 is the last day to drop and receive a full refund.] ANN: Since we will finish the Class Notes for sections 1.1-1.3 this week, those homework sections in MML will come due next Monday. You will also see Chapter 2 Skills Check in MML coming soon, due Feb. 10. In class, we finished the Class Notes for 1.2. We then covered the Class Notes for 1.3. The 1.3 worksheet Direction Fields Worksheet will be collected Monday. |
| ANN: I explained the late policy for worksheets. If you turn in a worksheet after I collect it at the beginning of class, the grade will start at 8/10 after a late penalty. If you are absent when a worksheet is due, email me a picture of it to get full credit and then turn in the paper when you return. ANN: I will not announce MML due dates. Just know that if we finish a set of notes, the MML homework will be due the following Monday. The exception will be when I curtail due dates to accommodate an exam. In class, I collected the 1.3 worksheet Direction Fields Worksheet. We covered most of the Class Notes for 1.4, getting through page 5. The 1.4 worksheet Euler’s Method for Approximating Function Values is due Wednesday. [After class, a student pointed out that the Section 1.3 homework in MML did not appear on the list of MML assignments. That is because I had not "assigned" it. Oops. I have since fixed that and set the due date for Feb. 10. Please get it done as soon as you can but know that the due date is pushed back (from an intended Feb. 3) to give you time.] | |
Feb. 5 |
ANN: I will not announce MML due dates. Just know that if we finish a set of notes, the MML homework will be due the following Monday. The exception will be when I curtail due dates to accommodate an exam. ANN: I explained the late policy for worksheets. If you turn in a worksheet after I collect it at the beginning of class, the grade will start at 8/10 after a late penalty. If you are absent when a worksheet is due, email me a picture of it to get full credit and then turn in the paper when you return. ANN: As a reminder, you can do late MML work for half credit. There is a strict deadline of March 14. In class, I collected the 1.4 worksheet Euler’s Method for Approximating Function Values (after discussing it a bit) and we finished the Class Notes for 1.4. We then covered the Class Notes for 2.1, which is really only one page introducing the chapter (stapled to Class Notes for 2.2 in class but separate if gotten from Website) and the first two pages of the Trig handout http://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf. We then started the Class Notes for 2.2, getting halfway through example 3. |
| I realized that the photocopied notes for 2.2 did not include pages 6 and 7 so I gave out those pages and had students staple. In class, we finished the Class Notes for 2.2 and then started the Class Notes for 2.3, getting through page 2. I will collect the 2.2/2.3 worksheet Separable and Linear Differential Equations Practice next Monday. | |
Feb. 12 |
No class, snow day. Due dates will get pushed back. |
| ANN: Look for an email from me (to your LC email address) when LC says college is closed due to weather. I may opt to hold a Zoom meeting or tell you to watch my prerecorded videos so we do not fall further behind. In class, we finished the Class Notes for 2.3. I will collect the 2.2/2.3 worksheet Separable and Linear Differential Equations Practice Wednesday. We then started the Class Notes for 2.4, getting through page 1. | |
Feb. 19 |
We Zoomed class due to snow day. ANN: The 2.2/2.3 worksheet Separable and Linear Differential Equations Practice will be collected Monday. We covered the rest of the Class Notes for 2.4. |
| ANN: Exam 1 over chapters 1 and 2 is scheduled for Wed., Mar. 5. Bring Class Notes, homework notebook, and calculator. We will finish Section 2.6 next Monday and the MML Homework will be due Tues., Mar. 4 which is a quick turnaround. You will want to start that homework the end of this week after we start the Class Notes. In class, I collected the 2.2/2.3 worksheet Separable and Linear Differential Equations Practice. We then mostly covered the Class Notes for 2.5, getting through the start of example 3. I will not be collecting the 2.5 worksheet Integrating Factors Worksheet. If you do it, I will show you mine and you can check your answers. | |
Feb. 26 |
ANN: Exam 1 over chapters 1 and 2 is scheduled for Wed., Mar. 5. Bring Class Notes, homework notebook, and calculator. We will finish Section 2.6 next Monday and the MML Homework will be due Tues., Mar. 4 which is a quick turnaround. You will want to start that homework the end of this week after we start the Class Notes. In class, we started today with a discussion of using AI for help and the MML help. I got an Ask My Instructor question the other day and used AI to get an integration formula (and learned a cool technique on the way). I encourage you to use AI for that but beware, it is really just searching the internet better than we can; it is not intelligent. I then noticed that the MML help has steps in it that we skip in our procedures for linear equations. Be aware that some of the help will be different from what we do in class. We then finished the Class Notes for 2.5. To repeat, I will not be collecting the 2.5 worksheet Integrating Factors Worksheet. If you do it, I will show you mine and you can check your answers. We started the Class Notes for 2.6, getting partway through example 2. (We know it's homogeneous and now we need to solve it.) I will collect the 2.6 worksheet Categorizing Differential Equations and Using Substitutions next Wednesday. I do not think I mentioned that. |
| ANN: Exam 1 over chapters 1 and 2 is going to move to Mon., Mar. 10. Bring Class Notes, homework notebook, and calculator. We will finish Section 2.6 this week and the MML Homework will be due Sun., Mar. 9. ANN: I explained the late policy for worksheets. If you turn in a worksheet after I collect it at the beginning of class, the grade will start at 8/10 after a late penalty. If you are absent when a worksheet is due, email me a picture of it to get full credit and then turn in the paper when you return. ANN: As a reminder, you can do late MML work for half credit. There is a strict deadline of March 14 for chapter 1 and 2. In class, we worked on the Class Notes for 2.6, getting halfway through example 4. I will collect the 2.6 worksheet Categorizing Differential Equations and Using Substitutions next Monday. | |
Mar. 5 |
ANN: I explained the late policy for worksheets. If you turn in a worksheet after I collect it at the beginning of class, the grade will start at 8/10 after a late penalty. If you are absent when a worksheet is due, email me a picture of it to get full credit and then turn in the paper when you return. ANN: As a reminder, you can do late MML work for half credit. There is a strict deadline of March 14 for chapter 1 and 2. In class, I previewed the exam telling students what to expect. I also wanted to mention (because a MML homogeneous equation and the notes example were so similar) that you do not always multiply an equation by y/x^3 as we see on page 3 of the notes and number 3 in MML homework. It just happened that the two equations are the same except for coefficients. You have to use the fraction (like y/x^3) such that makes the right side of the equation be in terms of (y/x) alone. A bit of algebra work may be required to figure that out. In class, we finished the Class Notes for 2.6. The 2.6 worksheet Categorizing Differential Equations and Using Substitutions is due Monday. |
| I collected the 2.6 worksheet Categorizing Differential Equations and Using Substitutions. We took Exam 1. | |
Mar. 12 |
[No school March 17-22 for Spring Break.] ANN: Exam 2 will cover 3.1-3.5, 4.1, and 4.2. It will be held mid-April. In class, we started the Class Notes for 3.2, getting through page 6. Section 3.1 is covered briefly at the beginning of these Notes. I also handed out http://integral-table.com/downloads/ODE-Summary.pdf. |
I gave out an Exam Review (not available online) for you to complete as you review your exam. It is optional but I particularly encourage you to complete it if you did worse than what you wanted. I did take the exam out of 27 to give a curve due to the timing (daylight savings time change) and the length. In other news, I found a cool thing about the integral of "sin(x)cos(x)" which occurred in number 4 on the exam. Using u-substitution with different things being taken as u will actually result in different results. I was floored when I realized it when grading. In class proper, we finished the Class Notes for 3.2 and then we started the Class Notes for 3.3, getting halfway through example 2. |
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Mar. 26 |
I collected the Exam Review sheets. Thanks for working on that; I will read them later today. In class, we finished the Class Notes for 3.3. We then went on to start the Class Notes for 3.4, getting through example 1. |
| ANN: Exam 2 will cover 3.1-3.5, 4.1, and 4.2. It is set for Monday, April 14. You are allowed to use notes, homework, and calculator. ANN: In MML, Chapter 4 Skills Check is due next Monday, April 6. ANN: IDOT is hiring Engineering Technicians from the student body. More information can be gotten from emailing Jennifer.Boster@Illinois.gov or visiting their Commons Cafe table on April 3 anytime from 10 am - 2 pm. In class, I responded to some comments from the Exam Reviews and we finished the Class Notes for 3.4. I also discussed an issue with the 4th problem in MML 3.4 Homework. Since the object is moving upward and forces in the opposite direction are considered negative, we have to assign gravity and air resistance to be negative. Hence, the formula is slightly different. I showed my work for a similar problem (number 12 in book) and talked about how it might be best to derive it fully. Do not use the formula for v(t) from page 2 of the 3.4 Notes. We then started the Class Notes for 3.5, getting halfway through page 2. | |
Apr. 2 |
ANN: Exam 2 will cover 3.1-3.5, 4.1, and 4.2. It is set for Monday, April 14. You are allowed to use notes, homework, and calculator. ANN: In MML, Chapter 4 Skills Check is due next Sunday, April 6. In class, we finished the Class Notes for 3.5. |
| ANN: Exam 2 will cover 3.1-3.5, 4.1, and 4.2. It is set for Monday, April 14. You are allowed to use notes, homework, and calculator. In class, we covered the Class Notes for 4.1. We then started the Class Notes for 4.2, getting through example 2. The 4.2 worksheet Solving Homogeneous Linear Equations with Real Roots will not be collected. We are skipping Section 4.3 which covers the case when the root of the auxiliary equation is complex. | |
Apr. 9 |
272: ANN: Exam 2 will cover 3.1-3.5, 4.1, and 4.2. It is set for Monday, April 14. You are allowed to use notes, homework, and calculator. In class, I reviewed for the exam giving details. We finished the Class Notes for 4.2. I also showed work for number 7 (MML) which is a third-order diff. eq. which is not factorable. I showed how to use polynomial long division to work that out. There is a posted page about that under Class Notes. |
| We took Exam 2. If you missed, look for an email from me. | |
Apr. 16 |
ANN: Exam 3 will be held Wed., May 14 and cover 4.4, 4.5, 5.1, 5.2, 6.1, and 7.1-7.5. ANN: You can do late MML work for half credit. In class, we started the Class Notes for 4.4, getting through example 3. |
| We finished the Class Notes for 4.4 and started the Class Notes for 4.5. We got through page 2. | |
Apr. 23 |
[April 25 is the last day to withdraw and receive a grade of W.] I had to cancel class due to personal reasons. You were asked to finish 4.5 on your own and to cover 5.1 by reading the book and doing the Class Notes for 5.1. You were to then start 5.2 by looking at the book and starting the Class Notes for 5.2. |
| Students asked questions over 4.5 but none were asked over 5.1. We worked on the Class Notes for 5.2, getting through example 4. | |
Apr. 30 |
We finished the Class Notes for 5.2. We then started the Class Notes for 6.1. We only started example 1 and must start from there next time. |
| ANN: Exam 3 over 4.4-4.5, 5.1, 5.2, 6.1, and 7.1-7.5 will be held Wed., May 14. That is the last day we will have class. (The last day of the semester is May 16. You can do late MML work through midnight for half credit.) You may use your notes, calculator, and homework notebook. In class, I briefly discussed number 5.2.3 from the 5.2 Homework as it required steps d and e of the method from page 3 of 5.2 Notes. I also investigated Austin's idea of solving for the second variable (in this case x) by using integration instead of following the method in the Notes. This seemed to work on this problem. We then worked on the Class Notes for 6.1. I handed out pages 1 and 3-5 of my College Algebra (Section 8.2) Notes which discuss matrices and how to solve them on the calculator. In the Class Notes for 6.1, we got halfway through example 5. | |
May 7 |
ANN: Exam 3 over 4.4-4.5, 5.1, 5.2, 6.1, and 7.1-7.3 will be held Wed., May 14. That is the last day we will have class. (The last day of the semester is May 16. You can do late MML work through midnight for half credit.) You may use your notes, calculator, and homework notebook. I made a change. We will not be covering 7.4 or 7.5. The exam will cover only through 7.3. ANN: Late MML work can be done for half credit through May 16. In class, we finished the Class Notes for 6.1. We then started the (combined) Class Notes for 7.1 and 7.2, getting through page 2. I gave out a Paul Dawkins handout for limit properties (https://tutorial.math.lamar.edu/pdf/calculus_cheat_sheet_limits.pdf). |
| ANN: Exam 3 over 4.4-4.5, 5.1, 5.2, 6.1, and 7.1-7.3 will be held Wed., May 14. That is the last day we will have class. (The last day of the semester is May 16. You can do late MML work through midnight for half credit.) You may use your notes, calculator, and homework notebook. I made a change. We will not be covering 7.4 or 7.5. The exam will cover only through 7.3. ANN: Late MML work can be done for half credit through May 16. In class, we finished the Class Notes for 7.1 and 7.2. We then covered the first two examples in the Class Notes for 7.3 but got cut off on example 3. [I sent an email to all students today with a small review for the exam.] | |
May 14 |
[Friday, May 16 is the last day of the semester.] ANN: You have through May 16 to pick up any late work points in MML. In class, we took Exam 3. |