This webpage contains information related to the course and is updated frequently. For more imformation, go to the course webpage set up by the Mathematics Department.
Course code: Math 252 Section B6 (01:640:252:B6)
Lecturer: Humberto Montalvan-Gamez. Contact information.
Dates: The course will run from Tue. May 26 to Thu. July 2.
Time and location: The class meets on Mondays, Wednesdays, and Fridays from 6.00 to 8.45 p.m. in room 211 of the SEC building.
Course description: pdf file.
Rules of conduct: pdf file.Day-by-day calendar: pdf file.
Types of exercises: pdf file.
List of homework exercises: pdf file.
Fact sheet: pdf file.
Announcement 9. Posted on Tue. June 30. There was no time to cover sections 8.1 and 8.2 last night in the lecture. Therefore this material will not be included in the exam. This means there will be no exam questions of type alpha, beta 1 or beta 2. Students must also disregard fact #19 in the fact sheet.
Use this Java applet for tasks such as plotting slope fields and direction fields.
The following four supplements are part of the syllabus and three of them contain homework exercises.
N1. Introduction to differential equations. Answers to exercises.
N3. More on the phase plane. Answers to exercises.
N4. Matrix exponentials. Answers to exercises.
The remaining three supplements are not part of the syllabus; they are only complementary material. Students will be invited at an appropriate point of the course to read them on their own and to talk to the instructor if there are questions.
RTB1. Euler's method with error bounds.
RTB2. Linear systems: more on the case of complex eigenvalues.
BW1. The method of variation of parameters.
The final exam will be held on Wed. July 1 from 6.00 to 9.00 p.m. The exam will be on the whole content of the course, namley N1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, N2, 1.7, 1.8, 1.9, 2.1, 2.2, 2.3, N3, 2.4, 3.1, N4, 3.2, 3.3, 3.4, 3.5, 3.7, 3.8, 5.1, 3.6, 4.1, 4.2, 4.3, & 4.4. Sections 8.1 and 8.2 were not covered in class and hence they will not be included in the exam. The problems in the exam will be of the types described in the document "Types of Exercises", except types alpha, beta 1 and beta 2. Refer to the document "List of Homework Exercises" for more information.
Review problems: pdf file.
Answers to review problems: pdf file.
Quiz 11. Problems and solution. This quiz was not given due to lack of time during the lecture.
Homework will be assigned at the end of each lecture. The exercises should be carried out before the following lecture. Here is a link to the list of homework exercises corresponding to each section of the book and to each of the supplements. Numbers with a decimal point refer to sections of the book; a letter N followed by a number refers to one of the supplements, and a letter E followed by a number refers to extra homework assigned by Humberto (distributed in the form of a handout). Unless otherwise stated, all the listed problems are part of the homework.
Current homework: There is no homework.
Project writeups: Read this pdf file for advise on how to produce a good writeup.
Project 3. Writeups will be collected on Mon. June 29, in spite of the date shown in the statement of the problem.
Workshop 1. pdf file.
Workshop 2. pdf file.
Workshop 3. pdf file.
Workshop 4. pdf file, with corrected problem 7.
Workshop 5. pdf file.
Handout 1. Mixing problem
Handout 2. Extra homework 1 (E1)
Handout 3. Extra homework 2 (E2)
Handout 4. Extra homework 3 (E3)
Handout 5. Extra homework 4 (E4)
Handout 6. The 14 types of phase portraits for linear systems
May 29 lecture. Maple worksheet created by Humberto during class: look up the commands he used and their correct syntax.
June 22 lecture. Maple worksheet created by Humberto during class: includes a command for multiplying matrices.