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Disclaimer:
This is a supplemental site for the course, concerned with some specifics of our section (015H). The main source of information regarding exams, syllabus, course materials etc. is the D2L site of the course linked above.
The content of lectures on 10/18 and 10/20 is switched, that is, the review for Exam 2 is moved to the actual exam date. See the updated schedule below.
Note:
| Week 1 | ||
| 8/29 | Monday | |
| 8/30 | Tuesday | |
| 8/31 | Wednesday | Lecture 1: Section 1.1, Separable Equations. Video & Notes Homework Should Be Done: Hw01-Tutorial |
| 9/1 | Thursday | Lecture 2: Section 1.1, Euler Homogeneous Equations. Video & Notes Homework Should Be Done: First Half of Hw02-1.1-FOE-SE |
| 9/2 | Friday | |
| Week 2 | ||
| 9/5 | Monday | No lecture: Labor Day. Deep Dive 01: The Bernoulli Equation; due 9/9 Homework Should Be Done: Hw02-1.1-FOE-SE |
| 9/6 | Tuesday | Lecture 3: Section 1.2, Linear Equations. Video & Notes |
| 9/7 | Wednesday | Open Adds End. |
| 9/8 | Thursday | Lecture 4: Section 1.3, Qualitative Analysis. Video & Notes Review for Quiz 1 Quiz 1, Covering Section 1.1. Opens at 8:00 am and Closes 11:00 pm EDT. Homework Should Be Done: Hw03-1.2-FOE-LE |
| 9/9 | Friday | Deep Dive 01 due |
| Week 3 | ||
| 9/12 | Monday | Lecture 5: Section 1.4, Approximate Solutions: Euler Method. Video & Notes Deep Dive 02: Exact Equations; due 9/16 Homework Should Be Done: Hw04-1.3-FOE-QA |
| 9/13 | Tuesday | Lecture 6: Section 1.4, Approximate Solutions: Taylor and Picard Approximations. Video & Notes Homework Should Be Done: First Part of Hw05-1.4-FOE-ASPI |
| 9/14 | Wednesday | |
| 9/15 | Thursday | Lecture 7: Section 2.1, General Properties: Conservation of Energy. Video & Notes Review for Quiz 2 Quiz 2, Covering Section 1.1 (again), 1.2, 1.3. Opens at 8:00 am and Closes 11:00 pm EDT. Homework Should Be Done: Hw05-1.4-FOE-ASPI. |
| 9/16 | Friday | Deep Dive 02 due |
| Week 4 | ||
| 9/19 | Monday | Lecture 8: Section 2.1, General Properties: Linearity and Superposition. Video & Notes Homework Should Be Done: First Half of Hw06-2.1-SOLDE-GP |
| 9/20 | Tuesday | Lecture 9: Section 2.2, Homogeneous Constant Coefficients Equations - Real Roots. Video & Notes |
| 9/21 | Wednesday | |
| 9/22 | Thursday | Lecture: Review for Exam 1. Video & Notes Review for Exam 1 Midterm Exam 1, Covering Sections 1.1, 1.2, 1.3, 1.4. Opens at Night, from 8:30 pm to 11:00 pm EDT. Homework Should Be Done: Hw06-2.1-SOLDE-GP |
| 9/23 | Friday | Drop with Refund Deadline. |
| Week 5 | ||
| 9/26 | Monday | Lecture 10: Section 2.2, Homogeneous Constant Coefficients Equations - Complex Roots.Video & Notes Deep Dive 03: Reduction of Order; due 9/30 Homework Should Be Done: First Half of Hw07-2.2-SOLDE-HCC Webwork fee due date. |
| 9/27 | Tuesday | Lecture 11: Section 2.3, Non-Homogeneous Equations - Undetermined Coefficients. Video & Notes Homework Should Be Done: Hw07-2.2-SOLDE-HCC |
| 9/28 | Wednesday | |
| 9/29 | Thursday | Lecture 12: Section 2.3, Non-Homogeneous Equations - Variation of Parameters. Notes by G. Nagy (No Video) Review for Quiz 3 Quiz 3, Covering Sections 2.1, 2.2 (Includes Monday's 9/26 Materials). Opens at 8:00 am and Closes 11:00 pm EDT. Homework Should Be Done: First Half of Hw08-2.3-SOLDE-NH-UC-VP |
| 9/30 | Friday | Deep Dive 03 due |
| Week 6 | ||
| 10/3 | Monday | Lecture 13: Section 3.1, Introduction to the Laplace Transform. Video & Notes Deep Dive 04: Functions Defined by Differential Equations; due 10/7 Homework Should Be Done: Hw08-2.3-SOLDE-NH-UC-VP |
| 10/4 | Tuesday | Lecture 14: Section 3.2, The Initial Value Problem. Video & Notes Homework Should Be Done: Hw09-3.1-LT-Def |
| 10/5 | Wednesday | |
| 10/6 | Thursday | Lecture 15: Section 3.3, Discontinuous Sources and Translations. Video & Notes Review for Quiz 4 Quiz 4, Covering Sections 2.1 (again), 2.2 (again), 2.3. Opens at 8:00 am and Closes 11:00 pm EDT. Homework Should Be Done: Hw10-3.2-LT-IVP |
| 10/7 | Friday | Deep Dive 04 due |
| Week 7 | ||
| 10/10 | Monday | Lecture 16: Section 3.4, Dirac's Delta Sources. Video & Notes Deep Dive 05: Power Series Solutions; due 10/14 Homework Should Be Done: Hw11-3.3-LT-DS |
| 10/11 | Tuesday | Lecture 17: Section 4.1, Overview of Matrix Algebra - Motivation, Matrices, Matrix Operations. Video & Notes Homework Should Be Done: Hw12-3.4-LT-GS |
| 10/12 | Wednesday | |
| 10/13 | Thursday | Lecture 18: Section 4.1, Overview of Matrix Algebra - Inverses, Determinants. Video & Notes Review for Quiz 5 Quiz 5, Covering Sections 3.1, 3.2, 3.3, and 3.4 (Includes Monday 10/10 Material). Opens at 8:00 pm and Closes at 11:00 pm EDT. Homework Should Be Done: First Half of Hw13-4.1-MA-MA |
| 10/14 | Friday | Deep Dive 05 due |
| Week 8 | ||
| 10/17 | Monday | Lecture 19: Section 4.2, Eigenvalues and Eigenvectors - Definition, Geometrical Meaning. Video & Notes (by M. McNulty) Homework Should Be Done: Hw13-4.1-MA-MA |
| 10/18 | Tuesday | Lecture 20: Section 4.2, Eigenvalues and Eigenvectors - Calculation Examples. Video & Notes Middle of the Semester. Last Day to Drop with No Grade Reported. |
| 10/19 | Wednesday | |
| 10/20 | Thursday | Lecture: Review for Exam 2. Video & Notes Review for Exam 2 Midterm Exam 2, Covering Chapters 1, 2, and 3, Section 4.1 (Emphasis on Material not Covered in Previous Exam). Opens at Night, from 8:30 pm to 11:00 pm EDT. Homework Should Be Done: First Half of Hw14-4.2-MA-EE |
| 10/21 | Friday | |
| Week 9 | ||
| 10/24 | Monday | No Lecture: Fall Break |
| 10/25 | Tuesday | No Lecture: Fall Break |
| 10/26 | Wednesday | |
| 10/27 | Thursday | Lectures 21-22: Section 4.3, Diagonalizable Matrices & Matrix Exponential. Video & Notes Homework Should Be Done: Hw14-4.2-MA-EE |
| 10/28 | Friday | |
| Week 10 | ||
| 10/31 | Monday | Lecture 23: Section 5.1, Two-Dimensional Linear Differential Systems - Real Roots. Notes (no video) Deep Dive 06: The Matrix Exponential; due 11/4 Homework Should Be Done: Hw15-4.3-MA-DM |
| 11/1 | Tuesday | Lecture 24: Section 5.1, Two-Dimensional Linear Differential Systems - Complex Roots.Video & Notes Homework Should Be Done: First Half of Hw16-5.1-SDE-2x2L |
| 11/2 | Wednesday | |
| 11/3 | Thursday | Lecture 25: Section 5.2, Two Dimensional Phase Portraits - Complex Roots. Video & Notes Review for Quiz 6 Quiz 6, Covering Sections 4.1 (again), 4.2, 4.3. Opens at 8:00 am and Closes 11:00 pm EDT. Homework Should Be Done: Hw16-5.1-SDE-2x2L |
| 11/4 | Friday | Deep Dive 06 due |
| Week 11 | ||
| 11/7 | Monday | Lecture 26: Section 5.2, Two Dimensional Phase Portraits - Real Different Roots. Video & Notes Deep Dive 07: Integrating Factors for Linear Systems ; due 11/11 Homework Should Be Done: First Half of Hw17-5.2-SDE-2x2PP |
| 11/8 | Tuesday | Lecture 27: Section 5.3, Non-Linear Systems of Differential Equations - Overview. Video & Notes Homework Should Be Done: Hw17-5.2-SDE-2x2PP |
| 11/9 | Wednesday | |
| 11/10 | Thursday | Lecture 28: Section 5.4, Non-Linear Systems of Differential Equations - Competing Species. Video & Notes Review for Quiz 7 Quiz 7, Covering Sections 4.2 (again), 4.3 (again), 5.1. Opens at 8:00 am and Closes 11:00 pm EST. Homework Should Be Done: First Half of Hw18-5.3-5.4-SDE-2x2NS-CS |
| 11/11 | Friday | Deep Dive 07 due |
| Week 12 | ||
| 11/14 | Monday | Lecture 29: Section 5.4, Non-Linear Systems of Differential Equations - Predator-Prey. Video & Notes Deep Dive 08: Modeling Infectious Diseases; due 11/18 Homework Should Be Done: Hw18-5.3-5.4-SDE-2x2NS-CS |
| 11/15 | Tuesday | Lecture 30: Section 5.4, Non-Linear Systems of Differential Equations - Nonlinear Pendulum. Video & Notes Homework Should Be Done: First Half of Hw19-5.4-SDE-2x2NS-PP-NP |
| 11/16 | Wednesday | |
| 11/17 | Thursday | Lecture 31: Section 6.1, Eigenfunction Problems - BVP. Video & Notes Review for Quiz 8 Quiz 8, Covering Sections 5.1 (again), 5.2, 5.3, 5.4 (Competing Species Only). Opens at 8:00 am and Closes 11:00 pm EST. Homework Should Be Done: Hw19-5.4-SDE-2x2NS-PP-NP |
| 11/18 | Friday | Deep Dive 08 due |
| Week 13 | ||
| 11/21 | Monday | Lecture 32: Section 6.1, Eigenfunction Problems. Video & Notes Homework Should Be Done: First Half of Hw20-6.1-BVP-SEP |
| 11/22 | Tuesday | Lecture 33: Section 6.2, Sturm-Liouville Problems - Introduction. Video & Notes Homework Should Be Done: Hw20-6.1-BVP-SEP |
| 11/23 | Wednesday | |
| 11/24 | Thursday | No Lecture: Thanksgiving. |
| 11/25 | Friday | |
| Week 14 | ||
| 11/28 | Monday | Lecture 34: Section 6.2, Sturm-Liouville Problems - Eigenfunction Expansions. Video & Notes Deep Dive 09: Eigenfunctions in Quantum Mechanics; due 12/2 Homework Should Be Done:First Half of Hw21-6.2-BVL-SLP |
| 11/29 | Tuesday | Lecture 35: Section 6.3, Fourier Series. Video & Notes Homework Should Be Done: Hw21-6.2-BVP-SLP |
| 11/30 | Wednesday | |
| 12/1 | Thursday | Lecture 36: Section 6.4, Heat Equation - Dirichlet BC. Video & Notes Review for Quiz 9 Quiz 9, Covering Sections 6.1, 6.2 (Including Monday 11/28 Material). Opens at 8:00 am and Closes at 11:00 pm EST. Homework Should Be Done: Hw22-6.3-BVP-FS |
| 12/2 | Friday | Deep Dive 09 due |
| Week 15 | ||
| 12/5 | Monday | Lecture 37: Section 6.4, Heat Equation - Neumann Homogeneous BC. Video & Notes Homework Should Be Done: Hw23-6.4-BVP-HE (Dirichlet BC only) |
| 12/6 | Tuesday | Lecture: Review for Exam 3. Video & Notes |
| 12/7 | Wednesday | |
| 12/8 | Thursday | Lecture: Review for Final Exam, focus on Section 6.4. Video & Notes Review for Exam 3 Midterm Exam 3, Covering Chapters 1, 2, 3, 4, 5, and Sections 6.1, 6.2, and 6.3, (Emphasis on the Material Not Covered in Previous Exams). Opens at Night, from 8:30pm to 11:00 pm EST. Homework Should Be Done: Hw23-6.4-BVP-HE (Neumann BC) |
| 12/9 | Friday | |
| Week 16 | ||
| 12/12 | Monday |
Final Exam, Covering all Sections. Opens in the Morning, from 10:00 am to 12:00 Noon EST. |
| 12/13 | Tuesday |
Makeup Final Exam, Covering all Sections. Opens in the Morning, from 10:00 am to 12:00 Noon EST. Signup for Makeup Final Exam:
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