MTH 211 Introduction to Ordinary Differential Equations (Fall 2018):
This course studies first-order and linear higher order differential equations; matrices, determinants, and systems of differential equations; numerical and power series methods of solution; the Laplace transform.- Please read the course syllabus.
- Instructor: Dr. Sofya Chepushtanova, office SLC 410, email: sofya.chepushtanova@wilkes.edu.
- Class meetings:
- Section C: MTWF, 09:00-09:50pm in SLC 405
- Office hours: MWF 11:00-11:50am, R 8:00-9:50am or by appointment, SLC 410.
- Required Textbooks:
- Ordinary Differential Equations: From Calculus to Dynamical Systems, Virginia Noonburg, MAA Textbook Series, ISBN: 978-1-93951-204-8.
- Schaum's Outlines: Differential Equations 4th Ed., Richard Bronson and Gabriel Costa, McGraw Hill, ISBN: 978-0-07-182485-9.
- Schaum's Outlines: Matrix Operations 2nd Ed., Richard Bronson, McGraw Hill, ISBN: 978-0-07-175604-4.
- WeBWorK is an open-source online homework system for math and sciences courses supported by the MAA and the NSF.
We will use it for our homework. You should be able to log in using your Wilkes username and password.
The name of the WeBWorK course is MTH_211_C_FALL_2018. - Mathematica is a Wolfram's original product - primarily aimed at technical computing for R&D and education. We will use it for labs and projects.
To start with Mathematica, use the following links and tutorials:
- Mathematica at Wilkes
- Video tutorials: hands-on Start to Mathematica
- Wolfram's Getting Started with Mathematica
- Mathematica manual
from the publisher of your textbook
- Another Mathematica tutorial
- Mathematica at Wilkes
- Schedule (updated as the semester progresses):
| Week |
Topics | Class Materials and Assignments |
| 8/27 | First day: syllabus, introduction Read Sections 1.1, 1.2, 1.3 | Online Review of Complex Numbers Suggested Exercises on Complex Numbers Review of Derivatives and Integrals WeBWorK Orientation due 8/31 |
| 9/3 | No class on 9/3 (Labor Day) Read Sections 2.1 (including 2.1.1 and 2.1.2), 2.3 Systems of Equations (taken from Pauls Online Notes) | Online Review of Matrices
WeBWorK Review Set due 9/7 Project 1 Instructions and Project 1 Help File Data for Project 1 |
| 9/10 | Read Sections 2.3.1, 2.5.2 | Introduction to Partial Derivatives WeBWorK Complex Numbers Set due 9/14 WeBWorK Homework Set 1 due 9/15 |
| 9/17 | Read Sections 2.5.1, 2.4, 2.2 Exam I on 9/21 (Friday): Study Guide and Formula Sheet | WeBWorK Set Matrix HW 1 (on linear systems) due 9/21
WeBWorK Homework Set 2 due 9/23 (Bernoulli, exact) |
| 9/24 | Read Sections 2.2, 2.6 (2.6.1-2.6.3) | WeBWorK Homework Set 2.5 due 10/1 (Slope fields, Existence and Uniqueness) Project 2 Instructions, Project 2 Help File, Project 2 Sample Numerics, and Data for Project 2 |
| 10/1 | Read Sections 2.7, 2.7.1, 3.1 Matrices: read Section 4.2 | Autonomous Equation Examples
Short Video on the determinant WeBWorK Set Matrix HW 2 due 10/10 (determinants and matrix inverses) |
| 10/8 | Read Sections 3.1, 3.2, 3.4.1 No class on Friday (Fall Break) | WeBWorK Homework Set 3 due 10/18 WeBWorK Homework Set 4 due 10/21 |
| 10/15 | Read Section 3.4.2 Exam II on 10/19 (Friday): Study Guide and Formula Sheet | |
| 10/22 | Read Sections 3.3.1, 3.3.2, 3.5 (spring-mass systems) | Project 3 Instructions,
Project 3 Help File, and Data for Project 3 WeBWorK Homework Set 4.5 (variation of parameters) due 11/1 WeBWorK Homework Set 5 (spring-mass systems) due 11/8 |
| 10/29 | Read Sections 3.5, 3.6.1, 3.6.2 | |
| 11/5 | Read Section 3.6.2, 6.1, 6.1.1, 6.1.2, 6.1.3 Eigenvalues and eigenvectors (Section 4.3) |
Link on eigenvalues and eigenvectors WeBWorK Homework Set 6 due 11/15 |
| 11/12 | Read Sections 6.2, 6.2.1, 6.3, 6.3.1 Exam III on 11/14 (Wednesday): Study Guide and Formula Sheet | Project 4 Instructions,
Project 4 Help File, and Data for Project 4 |
| 11/19 | Read Section 6.3.1 No class on Tuesday 11/20 (Thursday schedule) No classes on 11/21-11/23 (Thanksgiving Break) |
Project 5 Instructions,
Project 5 Help File, and Data for Project 5 |
| 11/26 | Read Sections 6.4, 4.4, 4.5 | WeBWorK Homework Set 7 due 11/30 |
| 12/3 | Read Sections 5.1, 5.2 Exam IV on 12/7 (Friday) Study Guide and Formula Sheet | WeBWorK Homework Set 8 due 12/9 WeBWorK Homework Set 9 due 12/13 |
| 12/10 | Read Section 5.2 Final Exam: 12/12 (Wednesday), 1-4pm, Farley 002 Study Guide and Formula Sheet Review Session: 12/11 (Tuesday), 10am-12pm, SLC 411 |
Trace-Determinant Plane demo WeBWorK Homework Set 10 due 12/17 Project 6 Instructions, Project 6 Help File, and Data for Project 6 |