Engineering Mathematics
Spring 2023
Textbook
This is a new book we're trying out this semester, so the pacing
in the schedule may change.
-
An Introduction to Partial Differential Equations with MATLAB,
Second Edition, by Matthew P. Coleman.
Here is the link to Amazon.com if you want more details on the book:
An Introduction to Partial
Differential Equations
- We'll generally be covering topics from Chapters 1-5 with some topics from Chapter 9, 11 as time permits.
Beginning Material
- Syllabus
- Course Calendar
- Course Calendar: UPDATED APR 12
- Homework Set 1: Due Friday, 1/27 at 11:59PM
- Problem Set 2 (for Week 2): 1.5: 5, 7 and 1.6: 2,3,6,11,18,24,27,29. (Not turned in)
- Problem Set 3 (for Week 3):
- Problem Set 4 (not turned in, for Week 4)
- 2.3: #2, 2.4: #7, 2.5: 1,5
- 2.6: 2, 4, 7, 10
- Problem Set 5 (some problems turned in- Due Mon, Feb 27)
- 3.2: 1, 3, 4, 6, 8, 9, 11, 12, 15 (Turn in 1, 6, 8)
- 3.3: 1, 2, 4, 8, 9, 11, 12 (turn in 1, 2, 4, 12)
- Problem Set 6
- 3.4: 2, 4-6, 7(b), 8, 10, 12, 15, 17, 19 (Turn in 4, 8, 12)
- 3.6: 1-7, 12 (Turn in 2, 4, 12)
- Problem Set 7 (first set post Exam 2 and post Spring break)
- 4.1: Graded: 1(a), 2(c), 3(a). Not graded: 3(b).
- 4.2: Graded: 1(c), 2(c). Not graded: 2(a), 3(c).
- Due: Friday, March 31st (11:59PM on Canvas)
- Problem Set 8 (4.3, 4.4)
- 4.3: Graded: 1, 5, 12(a). Not graded: 9.
- 4.4: Graded: 1, 4. Not graded: 3, 9.
- Due: Friday, Apr 7th (11:59PM on Canvas)
- Problem Set 9 (5.1, 5.2)
- 5.1: Graded: 1, 4, 8. Not graded: 6, 14
- 5.2: Graded: 5, 6, 9. Not graded: 1, 3
- Due: Saturday, Apr 15th (11:59PM on Canvas)
- Problem Set 10 (6.1) *Updated Thursday Apr 27* (We haven't covered 6.2 yet- Only 6.1 will be due on Saturday)
- 6.1: Graded: 2(a), 8(a), 9(a). Not graded: 1(a), 2(b,c)
- 6.2: Not graded: 1, 3(a,b), 4(a,b), 5 *Updated Apr 27th*
- Due: Saturday, Apr 29th (11:59PM on Canvas).
Links by Week and Section
- Week 1: Sections 1.1-1.3
- Week 2: Sections 1.3-1.6
- Week 3: Sections 1.6-2.4. The following videos are highly recommended!
- Week 4: Section 2.4, 2.6 (see above for HW).
- Week 5: Exam 1, Section 3.1-3.2 on Friday.
- Week 6: Short week with Monday a holiday.
- Wed: Continue in 3.2, start 3.3.
- Fri: 3.3 and 3.4: Problem Set 5 will be due at midnight Monday (Feb 27).
- Week 7: Finishing Fourier Series (See Problem Set 6)
- Monday: 3.4.
- Animation of Gibbs phenomenon
- We'll be using an outside text in replacement of Section 3.5. It is available
for download in Canvas (Haberman_Ch3Selection1.pdf), but gives a nice summary of
our convergence theorems and a nice example that we'll discuss.
- Week 8: Exam 2 week
- Monday: Finish up some additional items (including even and odd parts of f).
- Wed: Review
- Fri: Exam 2. See you after break!
- Week 9: Starting Chapter 4
- Monday:
- Wednesday: Finish 4.1, work through 4.2
- Friday: Finish 4.2, start 4.3
- Week 10: Finishing Chapter 4, starting Ch 5?
- Mon: One more wave equation (4.2), look at 4.3 (Laplace's equation)
- Wed: Laplace's equation and non-homogeneous PDEs (4.4)
- Fri: Finish 4.4.
- Week 11: Chapter 5
- Week 12: Finish up Ch 5, Exam 3
- Mon: Section 5.3
- Wed: Catch up/Review
- Fri: Exam 3
- Week 13: Laplace and Fourier sine/cosine transforms
- Week 14: The Fourier transform
- Mon: Finish 6.2
- Wed: 6.3
- Fri: 6.3, 6.4
Exam Information
- Exam 1:
- Exam 2 (Fourier series):
- Exam 3 (Solving the Big 3, Characteristics)
- Final Exam (Overview of the course, plus transforms in Ch 6)