Differential Equations Daily Schedule

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Week 1 — Start First-Order Equations

For consistency, odd assignments will be presented at our meetings, and even assignments will be turned in as PDFs

• Assignment 1 to present on Monday, May 9: 1. p. 10 #4; 2. p. 10 #6; 3. p. 10 #8; 4. p. 15 #2; 5. p. 15 #4
• May 9 — Logan Sections 1.1 and 1.2 (20pp) — Solution to Assignment 1 — Review sinh and cosh
• Assignment 2 to turn in Wednesday, May 11: 1. p. 19 #2; 2. p. 20 #4; 3. p. 27 #8; 4. p. 32 #2
• May 11 — Logan Section 1.3 (14pp) — Solution to Assignment 2 — Chemical reaction problems from pp. 34-35
• Assignment 3 to present on Friday, May 13: 1. p. 26 #6; 2. p. 28 #16; 3. p. 42 #6; 4. p. 43 #14; 5. p. 48 #10
• May 13 — Logan Section 1.4 (18pp) — Solution to Assignment 3 — A refresher on the voltage drops at each element in an LRC circuit — The second-order differential equation associated with the simplest LRC circuit

Week 2 — Finish First-Order Equations — Start Second-Order Equations

Changed default meeting times to M / Th / Sa @9:30 (instead of M / W / F @8:00), but there are exceptions this week and next as noted

• Assignment 4 to turn in Tuesday, May 17: 1. p. 63 #4; 2. p. 64 #6; 3. p. 72 #8; 4. p. 72 #10
• Tuesday, May 17 — Logan Sub-Sections 1.5.1 and 1.5.2 (19pp) — Solution to Assignment 4
• Assignment 5 to present on Thursday, May 19: 1. p. 77 #4; 2. p. 77 #6; 3. p. 85 #2; 4. p. 85 #3
• Thursday, May 19 — Logan Sub-Section 1.5.3 and Section 2.1 (12pp) — Solution to Assignment 5
• Assignment 6 to turn in Sunday, May 22: 1. p. 90 #2; 2. p. 90 #6; 3. p. 94 #2; 4. p. 94 #4
• Sunday, May 22 — Logan Section 2.2 (15pp) — Solution to Assignment 6

Week 3 — Continue Second-Order Equations — Midterm Exam

• Assignment 7 to present on Tuesday, May 24: 1. p. 99 #2; 2. p. 99 #3; 3. p. 111 #4; 4. p. 111 #6; 5. p. 115 #6
• Tuesday, May 24 — Logan Subsection 2.2.4 and Section 2.3 (21pp) — Solution to Assignment 7
• Assignment 8 to turn in Thursday, May 26 — 1. p. 115 #7; 2. p. 120 #2; 3. p. 120 #3; 4. p. 124 #6
• Thursday, May 26 — Logan Subsections 2.4.1, 2.4.2, and 2.4.3 (9pp) — Solution to Assignment 8
• Sunday, May 29 — Midterm Exam Covering 1st-Order and 2nd-Order ODEs — Solution to Midterm Exam

Week 4 — Start Laplace Transforms

• Assignment 9 to present on Tuesday, May 31: 1. p. 145 #6; 2. p. 145 #8; 3. p. 146 #10
• Tuesday, May 31 — Logan Section 3.1 (10pp) — Solution to Assignment 9
• Assignment 10 to turn in on Thursday, June 2: 1. p. 157 #8; 2. p. 157 #9; 3. p. 157 #10; 4. p. 158 #11; 5. p. 158 #12; 6. p. 158 #13
• Thursday, June 2 — Logan Section 3.2 (13pp) — Solution to Assignment 10
• Assignment 11 to present on Sunday, June 5: 1. p. 158 #15 (do it by both the patching method and the Laplace transform method); 2. p. 163 #10
• Sunday, June 5 — Logan Section 3.3 (5pp) — Solution to Assignment 11

Week 5 — Finish Laplace Transforms — Start Linear Systems

• To turn in on Tuesday, June 7: Assignment 12
• Tuesday, June 7 — Logan Section 3.4 (10pp) — Solution to Assignment 12
• Assignment 13 to present on Thursday, June 9: 1. p 190 #1; 2. p. 190 #2; 3. p. 190 #3 — On all three problems, do parts (a) and (c) only
• Thursday, June 9 — Logan Section 4.1 (14pp) — Solution to Assignment 13
• Assignment 14 to turn in on Sunday, June 12: 1. p. 198 #1 (also do det A, det AB, det BA, det A², and det B³ and use these determinants to check your work by demanding that the product of the determinants is the determinant of the product — you can also use determinants as a check on your answers for A^-1 and B^-1); 2. p. 198 #2; 3. p. 201 #3; 4. p. 207 #4; 5. p. 207 #5
• Sunday, June 12 — Logan Sections 4.2 and 4.3 (17pp) — Solution to Assignment 14

Week 6 — Finish Linear Systems

The pagination in the printed edition and the PDF edition are slowly diverging and as of Assignments 15 and 16, the amount is starting to be more than a full page (with the PDF having the larger page number for a given point in the text). From here on the page numbers refer to the PDF edition.

• Assignment 15 to present on Tuesday, June 14: 1. p. 207 #1; 2. p. 218 #2; 3. p. 221 #2; 4. p. 225 #1 — NB: (1) To cut down on the total amount of work, on all the multi-part problems, do parts (a) and (b) only; (2) Also, in Problems 3 and 4, just find the general solutions (we will do the phase diagrams that Logan requested as part of the next assignment)
• Tuesday, June 14 — Logan Section 4.4 (17pp) — Solution to Assignment 15
• Assignment 16 to turn in Thursday, June 16: 1. p. 219 #3 parts (a) and (b) only; 2. Do the diagrams requested in p. 221 #2 (the general solution was found in the previous assignment); 3. Do the diagrams requested in p. 225 #1 (the general solution for this was also found in the previous assignment); 4. p. 239 #13 (this is the only problem with an application that Logan offered in Section 4.5 other than electrical circuits)
• Thursday, June 16 — Logan Section 4.5 (16pp) — Solution to Assignment 16
• Assignment 17 to present Sunday, June 19: 1. p. 244 #1; 2. p. 245 #3; 3. p. 246 #8
• Sunday, June 19 — Finish Chapter 4 (all that remains is Logan Section 4.6) (6pp) — Solution to Assignment 17

Week 7 — Final Exam — Special Topic: Two-State and Three-State Quantum Mechanical Systems

• Tuesday, June 21 — Final Exam Covering Laplace Transforms and Linear Systems — Solution to Final Exam
• To turn in on Thursday, June 23: Assignment 18
• Thursday, June 23 — Two-State and Three-State Quantum Mechanical Systems — Solution to Assignment 18