This page is at
http://www.calstatela.edu/faculty/gbrookf/math215/math215.html

Date | Assignment |

Jun 24 | HW1 |

Jun 26 | HW2 |

Jun 28 | HW3 |

Jul 3 | HW4 |

Jul 8 | HW5 |

Jul 10 | HW6 |

TR 11:40-1:20

SH C171

Office: Simpson Tower 210

Office Hours: TR 1:30-2:30 or by appointment.

Phone: (323) 343-2164

Email: gbrookf@calstatela.edu

**Prerequisites:** Math 209.

**Textbook: **Subramanian and Hendrata, *Lecture Notes on Ordinary Differential
Equations, 3rd ed.* You can buy a paper version of the book from the bookstore
or from
lulu.com. The price from lulu.com is $13.99 plus shipping.

**Topical outline:** Ordinary differential equations with concentration
on methods of finding solutions; applications in science and engineering.

**Student learning outcomes:** Students who successfully complete this
course will be able to:

- Use symbolic methods to find general and particular solutions of separable differential equations and first order linear differential equations.
- Construct direction fields and phase lines, and use them, along with the existence-uniqueness theorem, to perform qualitative analysis of first order autonomous differential equations.
- Find explicit general and particular solutions of second order (and possibly higher order), linear, homogeneous differential equations with constant coefficients.
- Use the superposition principle and the method of undetermined coefficients, (or instead, the method of variation of parameters) to find general and particular solutions of second (and possibly higher) order linear, nonhomogeneous differential equations with constant coefficients.
- Use first and second order techniques to analyze classical applications (such as velocity-acceleration models, population models, mixing models; mechanical vibrations, electrical circuits, etc.).
- Use differential operators to solve first order linear homogeneous systems with constant coefficients.
- Use Laplace transforms to solve first and second order initial value problems.
- Use power series to construct the approximate solution of a simple nonlinear differential equation near an ordinary point.

**Homework/Quizzes:** I will assign homework regularly, but it will not
be collected or graded. Instead, most Tuesdays, there will be a 15 minute quiz
on the homework from the previous week. Homework and homework solutions
will be posted on the web, liked to this page.

**Course Material:**

- Chapter 1: Preliminaries
- Chapter 2: First Order Linear Equations
- Chapter 3: Higher Order Homogeneous Linear Equations
- Chapter 4: Non-homogeneous Higher Order Linear Equations
- Chapter 5: Linear Equations with Variable Coefficients
- Chapter 6: Power Series Solutions
- Chapter 7: Systems of Linear Equations (time permitting)

**Exams: ** As well as the quizzes, there will be a midterm exam and a final exam:

- Midterm: Tuesday, July 29.
- Final: Tuesday, September 2, 10:45-1:15

**Grades:**
Your final grade will be determined from the quizzes and final exam
with the following weights:

Quizzes: 25%

Midterm: 25%

Final exam: 50%

**ADA statement:** Reasonable accommodation will be provided to any
student who is registered with the Office of Students with Disabilities and
requests needed accommodation.

**Academic honesty statement:** Students are expected to do their own
work. Copying the work of others, cheating on exams, and similar
violations will be reported to the University Discipline Officer, who has
the authority to take disciplinary actions against students who violate the
standards of academic honesty.

**Student responsibilities:** Students are responsible for being aware of all
announcements that are made in class, such as changes in exam dates, due
dates of homework and papers, and cancellation of class due to instructor's
absence. Students are responsible for announcements made on days that they
are absent.
Students must check their CSULA email account regularly for information
from the instructor and the Department. Failure to do so may result in
missed deadlines or other consequences that might adversely affect
students. Note that you can forward this email account to any other
account of your choosing.