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Offline Homework

Homework Option Two: Submitting handwritten assignments using Gradescope.

Homework assignments must be submitted to Gradescope as PDF files. You may either write your answers by hand and scan them, or you may type your solutions and save them as a PDF. The "offline homework" assignments will be taken from the book Notes on Diffy Qs: Differential Equations for Engineers by Jiri Lebl. This book is freely available on the Author's webpage. Physical copies can be obtained from the UCSD bookstore or from online sellers, such as Amazon.

Textbook:  Notes on Diffy Qs: Differential Equations for Engineers (v. 5.1, March 21, 2017) by Jiri Lebl.
Gradescope Login:  https://gradescope.com/

Using Gradescope

We will be using Gradescope for grading exams and MATLAB assignments. We will set up a separate Gradescope "Course" for our Math 20D homework called "Math 20D B00 Homework". You will be automatically enrolled in this Gradescope course at the end of Week 1. You will submit your homework assignments in this course. A video demonstrating the submission process can be found at the following link:

https://gradescope.com/get_started#student-submission

Guidelines for submission through Gradescope:

  • Submissions must be PDF files.
  • If your homework is handwritten, you must upload a scanned document.
  • You may type your homework (using LaTeX, for example) and save your file as a PDF.
  • All homework is due at 11:00 P.M.
  • To submit your homework, access the Gradescope course "Math 20D—B Homework", which has the description "Math 20D Lecture B Offline Homework from Lebl's Book". (This course is distinct from the Gradescope course you use to submit MATLAB assignments, which is titled "MATLAB 20D—B".)
  • Not all exercises will be graded. When you submit your assignment, you will be told which exercises will be graded. Gradescope will ask you to match each of the specified exercises with the page on which your solution for that exercise appears. For more information, watch the Gradescope tutorial video.

Late Homework

Homework may not be submitted late. Homework due dates are chosen to help students keep to the pace of the course and stay current with the topics covered in the lectures. The "No late homework" policy is designed to encourage students to complete homework assignments on time and reward those who do.

Please understand that individual exceptions cannot be made to the "No late homework" policy. If the system is down at the specified due date, we can postpone the due date for the entire class, but there are far too many students in this class to make individual accommodations.

Textbook Homework  

The exercises are numbered in the book using the format "chapter.section.exercise", so (for example) Exercise 5 in Section 1.3 is numbered 1.3.5 in the book. Exercises with three digits (such as 1.8.103) have answers in the back of the book. The exercises listed below in {braces} are optional; e.g. {1.2.10} is an optional exercise for Homework 2. Optional exercises will not be graded and are not eligible for points.

The list of homework assignments is subject to revision during the term. Please check this page regularly for updates.

LAST UPDATED: 12 Oct 2017

Homework Zero     (No due date)
  • Section 0.2: 4, 5, 6, 7, 8, 9, 10, 12
  • Section 0.3: 1

Reading: Sections 0.2 and 0.3. We will not discuss these sections in detail in class, but you should read them. They introduce several key ideas that we will revisit throughout the course.

Homework 1     (Due Friday, Oct 13)
  • Section 1.1: 2, 3, 4, 5, 7, 8, 10, 12
  • Section 1.3: 2, 3, 4, 5, 7, 8, 9, 10
  • Section 1.4: 4, 5, 6, 7

Reading:  Sections 1.1, 1.3, 1.4.

Homework 2     (Due Wednesday, Oct 18)
  • Section 1.2: 4, 5, 6, {10}
  • Section 1.6: 3, 4, 5
  • Section 1.8: 2, {3bd}, 5, 6, 7ad, 103

Reading: Sections 1.2, 1.6, 1.8. The optional exercise in Section 1.8 is related to finding integrating factors for non-exact DEs that will turn them into exact DEs. Even if you choose to not do this optional exercise, you still need to read Subsection 1.8.2, which is the subsection covering this topic. (Please be aware that 3a, 3b, and 3c cannot be done using the method of computing an integrating factor described in the text. For 3a and 3c, the roles of M and N need to be reversed in order for that method to work. The DE in 3b can be made exact by using an integrating factor, but not one of the form (My-Nx)/M or (My-Nx)/N.)

Homework 3     (Due Thursday, Oct 26)
  • Section 2.1: 2, 5, 101, 102
  • Section 2.2: 6, 7, 9, 10, 11, 13, 16

Reading: Sections 2.1 and 2.2.

Homework 4     (Due Thursday, Nov 2)
  • Section 2.1: 9, 10, 104
  • Section 2.2: 8
  • Section 2.5: 2, 3, 4, 5, 6, 7, 10

Reading:  Sections 2.2 and 2.5.

Homework 5     (Due Thursday, Nov 9)
  • Section 3.1: 2, 4, 103
  • Section 3.2: 2, 102, 103, 104

Reading:  Sections 3.1 and 3.2.

You can also read Sections 1 and 2 in the Math 20D Supplement. These are based on Sections 7.1 and 7.2 in the Boyce and DiPrima textbook, but restricted to the 2x2 matrix case.

Homework 6     (Due Thursday, Nov 16)
  • Section 3.3: 1, 2, 3, {4}, 5, 6
  • Section 3.4: 1, 2, 5

Reading:  Sections 3.3 and 3.4.1. (Notice that it is only 3.4.1 in Section 3.4, the subsection on computing eigenvalues. We will get to the rest of 3.4 in the next assignment.)

You can also read Sections 3 and 4 in the Math 20D Supplement. These are based on Sections 7.3 and 7.4 in the Boyce and DiPrima textbook, but restricted to the 2x2 matrix case.

Homework 7     (Due Friday, Nov 24)
  • Section 3.4: 6, 7, 8, {9}, {101}, 102, 103, 104
  • Section 3.5: 101, 102

Reading:  Sections 3.4 and 3.5. {The optional exercises are for the 3x3 case.}

You can also read Sections 5 and 6 in the Math 20D Supplement. These are based on Sections 7.5 and 7.6 in the Boyce and DiPrima textbook, but restricted to the 2x2 matrix case.

Homework 8     (Due Thursday, Nov 30)
  • Section 3.7: 1, 2, {101}, {102}, {103}
  • Section 7.1: 1, 2, 5, 9, 11
  • Section 7.2: 1, 2, 3, 4

Reading:  Section 3.7. {The option exercises in Section 3.7 are for the 3x3 case.} Also, read Sections 7.1 and 7.2 in the Lebl text. Section 7.1 is a review of power series. Since this is prerequisite material, we will not spend much (if any) time in lecture on this. You should read Section 7.1 on your own before we discuss Section 7.2 during lecture.

In addition to Section 3.7 in the Lebl text, you can read Section 8 in the Math 20D Supplement. This is based on Section 7.8 in the Boyce and DiPrima textbook, but restricted to the 2x2 matrix case.

Homework 9     (Due Thursday, Dec 7)
  • Section 6.1: 5-15
  • Section 6.2: 2, 6, 8, 11

Reading:  Sections 6.1 and 6.2.

Homework 10     (No due date—No homework is due during Final Exam Week)
  • Section 6.3: 1, 2, 6, 8, 9
  • Section 6.4: 1, 2, 3, 6

Reading:  Sections 6.3 and 6.4.