**Schedule Fall 2017**

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

**
All paper homework assignments are due in the beginning of class in recitation on the date indicated on the assignment. No paper HW assignments are accepted late.**

**
All WebWork homework assignments are accepted 24 hours late at 75% credit.**

**
Recitations are on Thursdays 10:20 am - 11:10 am in 216 Ernst Bessey Hall.**

**
Weekly WebWork Quizzes open on Thursdays at 6:00am and close on Fridays at 11:00pm.**

**Sheet Formula for Quizzes and Exams.**

**Week 01**

**08/28 No Class.**

**08/30 Lecture 1:** Modeling with Ordinary Differential Equations.

**Reading Material.** **Fill-in-the-blank Notes.**

**
08/31 Recitation Meets: Lab 1.**

**
08/31 No Quiz.**

**
08/31 Homework Due: WebWork: Hw01_Tutorial.**

**09/01 Lecture 2:** Autonomous Equations: Qalitative Approach.

**Reading Material.** **Fill-in-the-blank Notes.**

**Week 02**

**09/04 Labor Day:** No Class.

**09/06 Lecture 3:** Separable Equations. **Open Add Ends.**

**Reading Material.** **Fill-in-the-blank Notes.**

**
09/07 Recitation.**

**
09/07 Quiz 1 - during recitation, covers material from ****HW2.**

**
09/07 Homework Due: ****HW2** due in the beginning of recitation.

**09/08 Lecture 4:** Linear Equations with Constant and Variable Coefficients. Integrating Factor Method.

**Reading Material.** **Fill-in-the-blank Notes.**

**Week 03**

**09/11 Lecture 5:** Picard Iteration. Existence and Uniqueness Theorem.

**Reading Material.**
**Fill-in-the-blank Notes.**

**
09/11 Homework Due: Hw03_Separable.**

**
09/12 Homework Due: Hw04_LinearEquations.**

**09/13 Lecture 6:** General Second Order Linear Equations. Superposition Property.

**Reading Material.**
**Fill-in-the-blank Notes.**

**
09/14 Recitation Meets: Lab 2. ** Matlab files for the lab: File 1 and File 2

**09/14 Homework Due: Feedback problems due at the beginning of recitation: Lec3, problem 2.1.7, Lec4, problem 2.2.12, and Lec5, problem 2.3.6.**

**
09/14 Quiz 2 Opens on WebWork, Covering Hw03_Separable, Hw04_LinearEquations.**

**Link to START Quiz02.**

**
09/14 Homework Due: Hw05_Nonlinear.**

**09/15 Lecture 7:** Homogeneous Second Order Linear Equations with Constant Coefficients.

**Reading Material.**
**Fill-in-the-blank Notes.**

**
09/15 Quiz 2 Closes.**

**Week 04**

**09/18 Lecture 8:** Homogeneous Second Order Linear Equations with Constant Coefficients.

**Reading Material.** **Fill-in-the-blank Notes.**

**
09/18 Homework Due: Hw06_GeneralSecondOrder.**

**09/20 Lecture 9:** Nonhonomgeneous Second Order Linear Equations. Undetermined Coefficients.

**Reading Material.** **Fill-in-the-blank Notes.**

**
09/21 Recitation: Gateway Exam Covering Lectures 1-8.**

**
09/21 Homework Due: Hw07_SecondOrderConstant.**

**09/22 Lecture 10:** Nonhomogeneous Second Order Linear Equations. Variation of Parameters.

**Reading Material.** **Fill-in-the-blank Notes.**

**Week 05**

**09/25 Lecture 11:** Laplace Transform Method.** Drop with Refund Date.**

**Reading Material.**
**Fill-in-the-blank Notes.**

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

**
09/25 Homework Due: Hw08_ConstCoeffNonhom.**

**
09/26 Webwork Fee Due Date at 10:00am.**

**09/27 Lecture 12:** Laplace Transform Method.

**Reading Material.**
**Fill-in-the-blank Notes.**

**
09/28 Recitation.**

**
09/28 Quiz 3 Opens on WebWork, Covering Hw08_ConstCoeffNonhom, Hw09_VarParameters.**

**
09/28 Homework Due: Feedback problems due at the beginning of recitation: Lec9, problems 3.3.1 and 3.3.2**

**
09/28 Homework Due: Hw09_VarParameters.**

**09/29 Lecture 13:** Discontinuous Sources and Translation Theorems.

**Reading Material.**
**Fill-in-the-blank Notes.**

**
09/29 Quiz 3 Closes.**

**09/29 Homework Due: Hw10_LT-Def.**

**Week 06**

**10/02 Lecture 14:** Dirac's Delta Sources.

**Reading Material.**
**Fill-in-the-blank Notes.**

**10/02 Homework Due: Hw11_LT-IVP. **

**10/03 Homework Due: HW12_LT-DiscontinuousSources.
**

**10/04 Lecture 15:** Convolution. Decomposition Theorem.

**Reading Material.**
**Fill-in-the-blank Notes.**

**10/05 Recitation Meets: Lab 3.**
Matlab files for the lab: File 1, File 2, and File 3

**
10/05 Quiz 4 Opens on WebWork, Covering Hw10_LT-Def, Hw11_LT-IVP, Hw12_DiscontinuousSources, HW13_LT-GeneralizedSources.**

**
10/05 Homework Due: Hw13_LT-GeneralizedSources.**

**10/06 Lecture 16:** Modeling with First Order Systems of ODEs.

**Fill-in-the-blank Notes.**

**
10/06 Quiz 4 Closes.**

**Week 07**

**10/09 Lecture 17:** Modeling with First Order Systems of ODEs.

**Reading Material.**
**Fill-in-the-blank Notes.**

**
10/09 Homework Due: Hw14_LT-Convolutions. **

**10/11 Lecture: Review Midterm Exam 1.**

**Review sheet.**
**Solutions. **(only look at after attempting the problems on your own)

**10/12 Recitation: Midterm Exam 1 Covering through Lecture 15.**

**Exam 1 Details.**

**10/13 Lecture 18:** Algebraic Linear Systems.

**Reading Material.** **Fill-in-the-blank Notes.**

**Homework: Do the problems at the end of the Reading Material in Lecture 18. These are not to turn in, but a couple of them will be on the quiz during next week's recitation. **

**Week 08**

**10/16 Lecture 19:** Vector Spaces. Linear Independence, Basis, and Dimension.

**Reading Material.** **Fill-in-the-blank Notes.**

**Homework: From the Reading Material in Lecture 19, do problems 4.1.1(a-e), 4.1.4, 4.2.1, 4.2.2a, 4.2.7, 4.3.3(a,b), (4.3.6-Challenge problem). These are not to turn in, but a couple of them may be on the quiz during this week's recitation. **

**10/18**** Drop with No Grade Reported Deadline.**

**10/18 Lecture 20:** Linear Transformations and Matrices.

**Reading Material.** **Fill-in-the-blank Notes.**

**Homework: From the Reading Material in Lecture 20, carefully read examples 6.3.2, 6.3.5, 6.3.6. From the end of the section, complete problems 6.3.5 and 6.3.6 and turn them in at the beginning of recitation on 10/26. **

**10/19 Recitation Meets. Quiz 5 **will be in recitation, based on the HW from Lec. 18 and 19.

**10/20 Lecture 21:** Eigenvalues and Eigenvectors.

**Reading Material.** **Fill-in-the-blank Notes.**

Geometrical Meaning of Eigenvalues and Eigenvectors

**Week 09**

**10/23 Lecture 22:** Inner Product and Norm. Diagonalizable Matrices.

**Reading Material.** **Fill-in-the-blank Notes.**

**10/25 Lecture 23:** Modeling with Systems of Linear Differential Equations.
** ** **Fill-in-the-blank Notes.**

**10/26 Quiz 6 Opens on WebWork, Covering Hw15_LA1. **

**10/26 Recitation Meets. Lab 4. **Matlab file for the lab: File 1.

**10/27 Lecture 24:** 2x2 Linear Homogeneous Constant Coefficient Differential Systems.

**Reading Material.** **Fill-in-the-blank Notes.**

Exploration of Phase Portraits corresponding to Complex Eigenvalues.

**10/27 Homework Due: Hw15_LA1.**

**10/27 Quiz 6 Closes.**

**Week 10**

**10/30 Lecture 25:** Two-Dimensional Phase Portraits.

**Reading Material.** **Fill-in-the-blank Notes.**

**10/31 Homework Due: Hw16_2x2LDS.**

**11/01 Lecture 26:** General Theorems on nxn Linear Systems of Equations.

**Reading Material.** **Fill-in-the-blank Notes.**

**11/02 Recitation Meets. Worksheet. **

**11/03 Lecture 27:** Solution Formulas for Linear Systems of Equations (Homogeneous and Non-homogeneous).

**Reading Material.** **Fill-in-the-blank Notes.**

**Week 11**

**11/06 Lecture 28:** Nonlinear Systems of ODEs.

**Reading Material.** **Fill-in-the-blank Notes.**

**11/7 Homework Due: Hw18_LDS.**

**11/08 Lecture 29:**** **Nonlinear Systems of ODEs - continued.

**11/09 Quiz 8 Opens on WebWork, Covering Hw16_2x2LDS and HW18_LDS. **

**11/09 Recitation Meets. Lab 5. **Matlab file for the lab: File 1.

**11/09 Homework Due: ****HW17** and **HW19** due in the beginning of recitation.

**11/10 Lecture 30:** Bifurcations.

**11/10 Quiz 8 Closes.**

**Week 12**

**11/13 Lecture 31:** Bifurcations - continued. Review for Midterm Exam 2.

**11/13 Homework Due: Hw20_PhasePort_Nonlin.**

**11/15 Lecture:** Review Midterm Exam 2.

**
11/16 Recitation: Midterm Exam 2, Covering Lectures 16 through 30.**

**11/17 Lecture 32:**** **Eigenfunction Problems.

**Reading Material.** **Fill-in-the-blank Notes.**

**Week 13**

**11/20 Lecture 33:** Fourier Series

**Reading Material.** **Fill-in-the-blank Notes. ****Filled Notes.**

**11/21 Homework Due: Hw21_Eigenfunctions.**

**11/17 Lecture 34:** Fourier Series - continued

**
11/23 Thanksgiving.** No Recitation.

**
11/23 No Quiz.**

**11/24 Thanksgiving.** No Class.

**Week 14**

**11/27 Lecture 35:**** **The Heat Equation.

**Reading Material.** **Fill-in-the-blank Notes.**

**11/28 Homework Due: Hw22_FourierSeries.**

**11/29 Lecture 36:**** **The Heat Equation - Continued.

**11/30 Quiz 9 Opens on WebWork, Covering Hw21_Eigenfunctions and HW22_FourierSeries. **

**11/30 Recitation Meets. **** Worksheet. ** **Worksheet-Solutions. **

**12/1 Lecture 38:**** **The Heat Equation - Nonhomogeneous Boundary Conditions and Heat Sources

**12/1 Quiz 9 Closes.**

**Week 15**

**12/4 Lecture 37:** The Wave Equation.

**12/4 Homework Due: Hw23_HeatEquation.**

**12/6 Lecture:** Review for Final Exam - **Review Worksheet**

**12/7 Recitation Meets. Review for Final Exam. **

**12/8 Lecture:** Review for Final Exam.

**Week 16**

**
12/11 Final Exam: Monday December 11, Covering All Sections.**