**Schedule Fall 2019**

**This Schedule is tentative and subject to changes which will be announced in class.**

**Main Textbook:** Course Lecture Notes – **Read Before Class:** Companion to the Lecture Notes (Updated 10/03/2019.)

**Reading assignments before every lecture are mandatory. They are indicated above every lecture in the schedule. **

**All Homework are due on Tuesdays, Thursdays, and Sundays at 11:00pm.**

**Weekly Quizzes open on Tuesdays at 8:00am and close on Wednesdays at 11:00pm.**

**Self-Assessments open on certain Tuesdays at 8:00am and close on Wednesdays at 11:00pm.**

Week 01

**Monday 8/26**

**No Lecture.**

**Tuesday 8/27**

**No Recitation.**

**No Homework Due.**

**Wednesday 8/28**

**Read Before Class: Companion 1.2.**

**Lecture 1: Section 1.2,**Introduction to Modeling.

**Thursday 8/29**

**No Homework Due.**

**Friday 8/30**

**Read Before Class: Companion 1.2.**

**Lecture 2: Section 1.2,**Introduction to Modeling.

**Video: Section 1.2 – Interacting Species.**

**Sunday 9/01**

**Homework Due: Hw01-Tutorial, Hw02-1.2-FOE-ItM-1.**

Week 02

**Monday 9/02**

**No Lecture.**Labor Day.

**Tuesday 9/03**

**WW-Quiz01 Opens in Webwork, Covering: Hw02-1.2-FOE-ItM-1, Hw03-1.2-FOE-ItM-2.**

**Recall:**WW-Quizzes are in the

**Webwork**server.

**Horizontal Menu**, hover over

**WEBWORK**, choose

**your course section.**

**Recitation Meets. Lab01: Introduction to Modeling.**

**Honors Students Only. Deep Dive 01: Discrete and Continuous Models.**

**Due date Tuesday 9/10.**

**Homework Due: Hw03-1.2-FOE-ItM-2.**

**Wednesday 9/04**

**Read Before Class: Companion 1.3.**

**Lecture 3: Section 1.3,**Qualitative Analysis.

**Open Add Ends.**

**WW-Quiz01 Closes in Webwork.**

**Thursday 9/05**

**No Homework Due.**

**Friday 9/06**

**Read Before Class: Companion 1.4.**

**Lecture 4: Section 1.4,**Separable Equations.

**Video: Section 1.4 – Euler Homogeneous Equations.**

**Sunday 9/08**

**Homework Due: Hw04-1.3-FOE-QA.**

Week 03

**Monday 9/09**

**Read Before Class: Companion 1.5.**

**Lecture 5: Section 1.5,**Linear Differential Equations. (Skip the Bernoulli Equation.)

**Tuesday 9/10**

**WW-Quiz02 Opens in Webwork, Covering: Hw04-1.3-FOE-QA, Hw05-1.4-FOE-SE.**

**Recall:**WW-Quizzes are in the

**Webwork**server.

**Horizontal Menu**, hover over

**WEBWORK**, choose

**your course section.**

**Recitation Meets. Recitation Worksheet 01: Sections 1.2, 1.3, 1.4. Recitation-Quiz01 – in recitation.**

**Honors Students Only. Deep Dive 02: The Bernoulli Equation.**

**Due date Tuesday 9/17.**

**Honors Students Only. Deep Dive 01 Due in Recitation.**

**Homework Due: Hw05-1.4-FOE-SE.**

**Wednesday 9/11**

**Read Before Class: Companion 1.6.**

**Lecture 6: Section 1.6,**Approximate Solutions: Picard Iteration.

**Video: Section 1.6: Linear vs Nonlinear.**

**WW-Quiz02 Closes.**

**Thursday 9/12**

**Homework Due: Hw06-1.5-FOE-LE.**

**Friday 9/13**

**Read Before Class: Companion 2.1.**

**Lecture 7: Section 2.1,**Second Order Linear Equations. General Properties. (Skip Wronskian and Abel’s Theorem.)

**Sunday 9/15**

**Homework Due: Hw07-1.6-FOE-ASPI.**

Week 04 - Self-Assessment 1

**Monday 9/16**

**Read Before Class: Companion 2.1.**

**Lecture 8: Section 2.1,**Second Order Linear Equations. General Properties. (Skip Wronskian and Abel’s Theorem.)

**Tuesday 9/17**

**WW-Self-Assessment 1 (for Drop with Refund Due Date) Opens in Webwork, Covering Chapter 1.**

**Recitation Meets: Review Chapter 1. Also Questions on Section 2.1.**

**Review Problems for Chapter 1.**(See link at the top of the page.)

**Honors Students Only. Deep Dive 03: Abel and the Wronskian.**

**Due date on Tuesday 9/24.**

**Honors Students Only: Deep Dive 02 Due in Recitation.**

**01/30 Homework Due: No Homework Due.**

**Wednesday 9/18**

**Read Before Class: Companion 2.2.**

**Lecture 9: Section 2.2,**Homogeneous Constant Coefficients Equations.

**WW-Self-Assessment Exam 1 Closes.**

**Thursday 9/19**

**Homework Due: Hw08-2.1-SOLDE-GP.**

**Friday 9/20**

**Read Before Class: Companion 2.2.**

**Lecture 10: Section 2.2,**Homogeneous Constant Coefficients Equations.

**Video: Section 2.2 – Amplitude and Phase Shift.**

**Solved Example: Amplitude and Phase Shift Example**.

**Sunday 9/22**

**Homework Due: No Homework Due.**

Week 05

**Monday 9/23**

**Read Before Class: Companion 2.3.**

**Lecture 11: Section 2.3,**Non-Homogeneous Equations – Undetermined Coefficients. (Skip Variation of Parameters.).

**Drop with Refund Deadline.**

**Tuesday 9/24**

**WW-Quiz03 Opens in Webwork, Covering: Hw08-2.1-SOLDE-GP, Hw09-2.2-SOLDE-HCC.**

**Webwork Fee Due Date at 10:00am.**

**Recitation Meets: Lab02: Forced Oscillations, Beats, and Resonance.**

**Honors Students Only. Deep Dive 04: Variation of Parameters.**

**Due date on Tuesday 10/01.**

**Honors Students Only: Deep Dive 03 due in recitation.**

**Homework Due: Hw09-2.2-SOLDE-HCC.**

**Wednesday 9/25**

**Read Before Class: Companion 2.3.**

**Lecture 12: Section 2.3,**Non-Homogeneous Equations – Resonance.

**WW-Quiz03 Closes.**

**Thursday 9/26**

**Homework Due: Hw10-2.3-SOLDE-NH-UC.**

**Friday 9/27**

**Read Before Class: Companion 3.1.**

**Lecture 13: Section 3.1,**Introduction to the Laplace Transform.

**Review on Partial Fractions (Oregon State University).**

**Sunday 9/29**

**Homework Due: Hw11-2.3-SOLDE-NH-R.**

Week 06

**Monday 9/30**

**Read Before Class: Companion 3.2.**

**Lecture 14: Section 3.2,**The Initial Value Problem.

**Solved Example: Beats Solution computed with Laplace Transform.**

**Tuesday 10/01**

**WW-Quiz04 Opens in Webwork, Covering: Hw10-2.3-SOLDE-NH-UC, Hw11-2.3-SOLDE-NH-R, Hw12-3.1-LT-Def.**

**Recitation Meets: Recitation Worksheet 02. Recitation-Quiz02 – during recitation. RWS02 solutions.**

**Honors Students Only. Deep Dive 05: Beats in LC-Circuits.**

**Due Tuesday 10/08.**

**Honors Students Only: Deep Dive 04 Due in Recitation.**

**Homework Due: Hw12-3.1-LT-Def.**

**Wednesday 10/02**

**Read Before Class: Companion 3.3.**

**Lecture 15: Section 3.3,**Discontinuous Sources and Translations.

**Solved Example: Discontinuous Sources.**

**WW-Quiz04 Closes.**

**Thursday 10/03**

**Homework Due: Hw13-3.2-LT-IVP.**

**Friday 10/04**

**Read Before Class: Companion 3.4.**

**Lecture 16: Section 3.4,**Dirac’s Delta Sources.

**Solved Example: IVP with Delta Source**.

**Sunday 10/06**

**Homework Due: Hw14-3.3-LT-DS.**

Week 07 - Self-Assessment 2 and Exam 1

**Monday 10/07**

**Read Before Class: Companion 4.1.**

**Lecture 17: Section 4.1,**Modeling with First Order Systems.

**Tuesday 10/08**

**WW-Self-Assessment 2 (for Exam 1) Opens in Webwork, Covering Chapters 1, 2, Sections 3.1-3.4.**

**Recitation Meets: Review for Exam 1.**

**Review Problems for Chapters 1-3.**(See link at the the top of the page.)

**Honors Students Only. Deep Dive 06: The Reduction Order Method.**

**Due date on Tuesday 10/15.**

**Honors Students Only. Deep Dive 05 Due in Recitation.**

**Homework Due: Hw15-3.4-LT-GS.**

**Wednesday 10/09**

**Lecture 18: Review Exam 1.**

**WW-Self-Assessment 2 (for Exam 1) Closes.**

**Thursday 10/10**

**Exam 1 Covering Chapters 1, 2, Sections 3.1-3.4. In VMC E100, 8:00-9:30pm.**

**Homework Due: No Homework Due.**

**Friday 10/11**

**Read Before Class: Companion 4.2.**

**Lecture 19: Sections 4.1, 4.2,**Vector Fields and Qualitative Solutions

**Sunday 10/13**

**Homework Due:**

**No Homework Due**.

Week 08

**Monday 10/14**

**Read Before Class: Companion 4.2.**

**Lecture 20: Section 4.2,**Vector Fields and Qualitative Solutions.

**Tuesday 10/15**

**WW-Quiz05 Opens on Webwork, Covering: Hw15-3.4-LT-GS, Hw16-4.1-SDE-MFOS.**

**Recitation Meets: Lab03: Modeling Infectious Diseases.**

**Honors Students Only. Deep Dive 07: Power Series Solutions.**

**Due date on Tuesday 10/22.**

**Honors Students Only. Deep Dive 06 Due in Recitation.**

**Homework Due:**

**Hw16-4.1-SDE-MFOS**.

**Wednesday 10/16**

**Read Before Class: Companion 5.1.**

**Lecture 21: Section 5.1,**Algebraic Linear Systems.

**Drop with No Grade Reported Deadline.**

**WW-Quiz05 Closes.**

**Thursday 10/17**

**Homework Due: Hw17-4.2-SDE-VFQS.**

**Friday 10/18**

**Read Before Class: Companion 5.2.**

**Lecture 22: Section 5.2,**Vector Spaces.

**Sunday 10/20**

**Homework Due:**

**Hw18-5.1-LA-ALE**.

Week 09

**Monday 10/21**

**Read Before Class: Companion 5.3.**

**Lecture 23: Section 5.2, 5.3,**Vector Spaces and Matrix Algebra.

**Solved Example: Linear (In)Dependence, Bases, and Dimension**.

**Tuesday 10/22**

**WW-Quiz06 Opens on Webwork, Covering Hw17-4.2-SDE-VFQS, Hw18-5.1-LA-ALE.**

**Recitation Meets: Recitation Worksheet 03. Recitation-Quiz03 – during recitation. RWS03 solutions**

**Honors Students Only. Deep Dive 08: Functions Defined by Differential Equations.**

**Due date on Tuesday 10/29.**

**Honors Students Only. Deep Dive 07 Due in Recitation.**

**Homework Due: No Homework Due.**

**Wednesday 10/23**

**Read Before Class: Companion 5.3.**

**Lecture 24: Section 5.3,**Matrix Algebra.

**Solved Example: Determinants of 3×3 Matrices**.

**WW-Quiz06 Closes.**

**Thursday 10/24**

**Homework Due: Hw19-5.2-LA-VS.**

**Friday 10/25**

**Read Before Class: Companion 5.4.**

**Lecture 25: Section 5.4,**Eigenvalues and Eigenvectors.

**Solved Example: Computing Eigenpairs – Real And Complex**.

**Sunday 10/27**

**Homework Due: Hw20-5.3-LA-MA.**

Week 10

**Monday 10/28**

**Read Before Class: Companion 5.5.**

**Lecture 26: Section 5.5,**Diagonalizable Matrices.

**Solved Example: 3×3 (Non)Diagonalizable Matrices**.

**Tuesday 10/29**

**WW-Quiz07 Opens on Webwork, Covering Hw19-5.2-LA-VS, Hw20-5.3-LA-MA.**

**Recitation Meets: Lab04: Springs as First Order Systems.**

**Honors Students Only. Deep Dive 09: Matrix Algebra.**

**Due date on Tuesday 11/05.**

**Honors Students Only. Deep Dive 08 Due in Recitation.**

**Homework Due: Hw20-5.4-LA-EE.**

**Wednesday 10/30**

**Read Before Class: Companion 5.6.**

**Lecture 27: Section 5.6,**Matrix Exponential.

**WW-Quiz07 Closes.**

**Thursday 10/31**

**Homework Due: No Homework Due.**

**Friday 11/01**

**Read Before Class: Companion 6.1.**

**Lecture 28: Section 6.1,**Two-Dimensional Linear Systems.

**Sunday 11/03**

**Homework Due: Hw22-5.5-LA-D-Exp**

**.**

Week 11

**Monday 11/04**

**Read Before Class: Companion 6.1.**

**Lecture 29: Section 6.1,**Two-Dimensional Linear Systems – Continued.

**Tuesday 11/05**

**WW-Quiz08 Opens on Webwork, Covering Hw21-5.4-EE, Hw22-5.5-LA-D-Exp.**

**Recitation Meets:**

**Recitation Worksheet 04. Recitation-Quiz04 – during recitation. RWS04 solutions**.**Honors Students Only. Deep Dive 10: The Matrix Exponential.**

**Due date on Tuesday 11/12.**

**Honors Students Only. Deep Dive 09 Due in Recitation.**

**Homework Due: No Homework Due**.

**Wednesday 11/06**

**Read Before Class: Companion 6.2.**

**Lecture 30**

**: Section 6.2,**Two-Dimensional Phase Portraits.

**WW-Quiz08 Closes.**

**Thursday 11/07**

**Homework Due:**

**Hw23-6.1-QA-2×2**.

**Friday 11/08**

**Read Before Class: Companion 6.2.**

**Lecture 31: Section 6.2**Two-Dimensional Phase Portraits.

**Solved Example: Overview of Phase Portraits**.

**Sunday 11/10**

**Homework Due:**.

**No Homework Due**Week 12

**Monday 11/11**

**Read Before Class: Companion 6.3.**

**Lecture 32: Section 6.3,**Nonlinear Systems of ODEs.

**Solved Example: Nolinear Pendulum**.

**Tuesday 11/12**

**WW-Quiz09 Opens on Webwork, Covering Hw23-6.1-QA-2×2, Hw24-6.2-QA-2x2PP.**

**Recitation Meets: Lab 05: Nonlinear Pendulum.**

**Honors Students Only. Deep Dive 11: The IFM for Linear Differential Systems.**

**Due date on Tuesday 11/19.**

**Honors Students Only. Deep Dive 10 Due in Recitation.**

**Homework Due: Hw24-6.2-QA-2x2PP**.

**Wednesday 11/13**

**Read Before Class: Companion 6.3.**

**Lecture 33: Section 6.3,**Nonlinear Systems of ODEs – Continued.

**WW-Quiz09 Closes.**

**Thursday 11/14**

**Homework Due: No Homework Due**.

**Friday 11/15**

**Read Before Class: Companion 6.4.**

**Lecture 34: Section 6.3**Nonlinear Systems of ODEs – Continued.

**Sunday 11/17**

**Homework Due: No Homework Due**

**.**

Week 13 - Self-Assessment 3 and Exam 2

**Monday 11/18**

**Read Before Class: Companion 7.1.**

**Lecture 35: Section 7.1,**Eigenfunction Problems.

**Tuesday 11/19**

**WW-Self-Assessment 3 for (Exam 2) Opens in Webwork, Covering Chapters 4, 5, 6.**

**Recitation Meets: Review Exam 2.**

**Review Problems for Chapters 4-6.**(See link at the top of the page.)

**Honors Students Only. Deep Dive 12: Eigenfunctions in Quantum Mechanics.**

**Due date on Tuesday 12/03 (In two weeks).**

**Honors Students Only. Deep Dive 11 Due in Recitation.**

**Homework Due: Hw25-6.3-QA-2x2NS, Hw26-6.4-QA-NP.**

**Wednesday 11/20**

**Lecture 36: Review Exam 2.**

**WW-Self-Assessment 3 (for Exam 2) Closes.**

**Thursday 11/21**

**Exam 2 Covering Chapters 4, 5, and 6. In VMC E100, 8:00-9:30pm.**

**Homework Due: No Homework Due**.

**Friday 11/22**

**Read Before Class: Companion 7.1.**

**Lecture 37: Section 7.1,**Eigenfunction Problems – Continued.

**Sunday 11/24**

**Homework Due: No Homework Due**.

Week 14 - Thanksgiving

**Monday 11/25**

**Read Before Class: Companion 7.2.**

**Lecture 38: Section 7.2,**Fourier Series.

**Tuesday 11/26**

**WW-Quiz10 Opens on Webwork, Covering Hw25-6.3-QA-NS, Hw26-6.4-QA-NP, Hw27-7.1-BVP-SEP.**

**Recitation Meets: Recitation Worksheet 05. Recitation-Quiz05 – during recitation.**

**Honors Students Only: No Deep Dive this Week.**

**Honors Students Only: No Deep Dive Due this Week.**

**Homework Due: Hw27-7.1-BVP-SEP.**

**Wednesday 11/27**

**Read Before Class: Companion 7.2.**

**Lecture 39: section 7.2,**Fourier Series – Continued.

**WW-Quiz10 Closes.**

**Thursday 11/28**

**Homework Due: No Homework Due**.

**Friday 11/29**

**No Lecture: Thanksgiving.**

**Sunday 12/01**

**Homework Due: No Homework Due.**

Week 15

**Monday 12/02**

**Read Before Class: Companion 7.3.**

**Lecture 40: Section 7.3,**The Heat Equation – Introduction.

**Tuesday 12/03**

**WW-Quiz11 Opens on Webwork, Covering Hw27-7.1-BVP-SEP, Hw28-7.2-FS.**

**Recitation Meets. Review for Final Exam.**

**Honors Students Only: No Deep Dive this Week.**

**Honors Students Only: Deep Dive 12 Due in Recitation.**

**Homework Due: Hw28-7.2-FS.**

**Wednesday 12/04**

**Read Before Class: Companion 7.3.**

**Lecture 41: Section 7.3,**Dirichlet Boundary Conditions.

**Thursday 12/05**

**Homework Due: No Homework Due.**

**Friday 12/06**

**Lecture 42: Review for Final Exam.**

**Sunday 12/08**

**Homework Due: Hw29-7.3-HE.**

Week 16 - Final Exam

**Monday 12/09**

**Final Exam, in TBA, 10:00am-12:00pm, Covering All Sections.**

**Tuesday 12/10**

**Makeup Final Exam, in TBA, 10:00am-12:00pm, Covering All Sections.**

**Sign Up for Makeup Final Exam:**

**– Sign up must be done at least a week in advance.**

**– Students must have 3 or more exams on Monday.**

**– Students must bring a copy of their schedule to C-129 Wells Hall.**