Math 242, Spring 2024, Professor Kustin

Announcements

• Class Notes .

• Solutions to Final Exam
  
  
• In class on Monday, April 22 we did the example on pages 75-77 (of the class notes) and the calculation of the Laplace Transform of the derivative of f on pages 79-80 (of the class notes).
  
  
• The final exam is Monday, April 29, from 12:30 PM to 3 PM in our usual classroom. The final is comprehensive: it covers the whole course from the first class until the last class. In particular, the final exam covers:
  • Chapter 1, Sections: 1, 2, 3, 4, 5, 6.
  • Chapter 2, Sections: 1, 2, 3, 4.
  • Chapter 3, Sections: 1, 2, 3, 4, 5.
  • Chapter 7, Sections: 1, 2, 3.
  Notes about the Final Exam.
  
  
• Solutions to Exam 3.
  
  
• When you do Homework problem 31 in section 7.2, use the formula for the Laplace transform of t cos(kt) and the formula for the Laplace transform of sin (kt). (We will have established these formulas in class.) You will not have to do anything hard.
  
  
• When you do Homework problem 33 in section 7.3, you may use the results of Homework 23-26 in 7.3.
  
  
• Laplace Transform Facts. I will give you a copy of these facts, in this format, when you take Quiz 7 and when you take the final exam.
  
  
• Solutions to some homework problems.
  
  
• This website is up-to-date as of April 23, 2024 at 12:44 AM.

Syllabi

• Syllabus for Spring 2024. (I expanded the syllabus on Jan. 7, 2024 at 4:52 PM.)
  
  
• The assigned homework problems for Spring 2024: .pdf format.
  
  

Other Resources

• Old Exams
• Solutions to Old Exams
• Quiz Solutions
• Old Notes about Exams

Tutoring

• Here is the link to the Math Tutoring Center. This center is not set-up to help Math 242 students; nonetheless, I offer this link in case there is something on the website that might be of use to you. The Math Tutoring Center is in room 102 LeConte and is open 10AM-4PM Monday--Thursday.
  
  
• Tutoring for Math 242 is offered through the Student Success Center. You can call the Student Success Center at 803-777-1000.

Old Announcements

• In class on Monday, January 8, we covered pages 2--5 of the class notes.
• In class on Wednesday, January 10, we covered pages 5--12 of the class notes.
• Quiz 1 is on Wednesday, January 17. The quiz is one of the assigned homework problems from sections 1.1 or 1.2.
• In class on Wednesday, January 17, we did three homework problems 1.2/32 (This problem is also on page 15 of the class notes), problem 1.2/33, and problem 1.1/30.
• In class on Monday, January 22 we checked our answer to problem 30 in 1.1. Then we covered pages 11 and 12 from the class notes.
• Quiz 2 is on Wednesday, January 24. The quiz is one of the assigned homework problems from sections 1.3, 2.4, 1.4. (I removed 2.3 from the list of problems that might be on Quiz 2.)
• In class on Wednesday, January 24 we did problems 13 and 15 from section 1.3, and problems 24, 9, 13 from section 1.4.
• On Monday, January 29, I said a little more about section 1.3, numbers 13 and 15. I did section 1.4, number 35 and section 1.4, number 21. I started 1.1 number 46. This problem and 1.1, number 45 are solved on pages 15-20 of the class notes. (These problems could be in 2.3.)
• Exam 1 is Wednesday, January 31. The exam covers Sections 1, 2, 3, and 4 of Chapter 1 and Sections 3 and 4 of Chapter 2. Here are Notes about Exam 1.
• On Monday, Feb. 5 we covered pages 21-22 of the class notes.
• Solutions to Exam 1.
• On Wednesday, Feb. 7 we covered pages 22-24 of the class notes.
• Quiz 3 is on Wednesday, Feb. 14. The quiz is one of the assigned Homework problems from section 1.5 or 1.6.
• On Wednesday, Feb. 14 we covered page 24 of the class notes, we also did problem 1 in section 1.6, and problem 25 in section 1.5.
• Quiz 4 is on Wednesday, Feb. 21. The quiz is one of the assigned Homework problems from section 1.5, 1.6, or 2.1.
• On Monday, Feb. 19, we covered pages 29 -- 33 of the class notes.
• On Wednesday, Feb. 21, we covered pages 33 -- 38 of the class notes.
• On Monday, Feb. 26, we covered pages 25 -- 26 of the class notes; we did problem 1.3 in section 1.6; we made up a solution problem; and we started to solve the solution problem.
• Exam 2 is Wednesday, Feb. 28. The exam covers
  • Chapter 1: Sections 1,2,3,4,5, 6
  • Chapter 2: Sections 1, 3,4
  Here are notes about exam 2.
• In class on Monday, March 11, we covered pages 39-43 of the class notes.
• In class on Wednesday, March 13, we covered pages 43-47 of the class notes.
• In class on Monday, March 18, we covered pages 46-49 of the class notes. We also did problem 21 of section 3.2 and problem 7 of section 2.2. The solution to those two problems are posted in
• Solutions to some homework problems.
• Solutions to Exam 2.
• Quiz 5 is Wednesday, March 20. The quiz will be one of the assigned homework problems from sections 2.2, 3.1, 3.2, or 3.3.
• In class on Wednesday, March 20, I answered questions (complete solutions to all Homework questions from sections 2.2, 3.1, 3.2, and 3.3 are available in Solutions to some homework problems ); I stated Euler's Identity (page 49 of the class notes); and I gave a quiz.
• In class on Monday, March 25, we covered pages 49-58 from the class notes.
• Quiz 6 is Wednesday, March 27. The quiz will be one of the assigned homework problems from section 3.4. (The quiz will not include any problems from Section 3.5.)
• In class on Wednesday, March 27, we covered pages 59-60 from the class notes; we did Homework problem 21 from Section 3.4; and we had a quiz.
• In class on Monday, April 1, we did Examples (c), (d), and (e) from page 59 of the class notes; we did Homework problem 33 from section 3.5; and we set up a Newton's Law of cooling problem.
• Exam 3 is Wednesday, April 3. The exam covers everything from Section 1.1 until 3.5. If you had trouble with some topic from Exam 2, I will surely ask about it again. Please get it right the next time. Notes about Exam 3.
• In class on Wednesday, April 10, we covered pages 63-69 of the class notes.
• Quiz 7 is Monday, April 15. The quiz will be one of the assigned Homework problems from section 7.1.
• In class on Monday, April 15, we did three Homework problems (numbers 11, 17, 25 from section 7.1); then we covered pages 71-72 of the class notes; and then we had a quiz.
• In class on Wednesday April 17, we discussed Facts 2, 3, 4 on the first page of the Laplace transform sheet. We did the problem that starts on the bottom of page 73 of the class notes, we did the problem that starts on the bottom of page 74 of the class notes, and we did a problem like the problem that starts on the bottom of page 80 in the class notes.