Differential Equations Honors
MTH 256H - Sec 001

MWF 9:00-9:50AM
WNGR 241
&
Tuesday 9:00-9:50AM
WNGR 285

Winter 2015


Professor:

Dr. Nathan Louis Gibson  

Office:

Kidd 352

Office Hours:

M&F 11

Course Website:   

http://www.math.oregonstate.edu/~gibsonn/Teaching/MTH256H-001W15

Text Book:

Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems with Wiley Plus, 10th ed., Wiley & Sons.

General Info

Catalog Description: First order linear and nonlinear equations, and second order linear equations, applications to electric circuits and mechanical oscillators, introduction to the Laplace transform and higher order equations, and solution methods and applications appropriate for science and engineering.
Credits: 4

MTH 256 Measurable Student Learning Outcomes: A successful student in MTH 256 will be able to:

  • Identify and solve first order differential equations that are separable, exact, or linear.
  • Construct and analyze models for physical systems (such as for mixing, cooling, radioactive decay) that can be described by first order linear or nonlinear differential equations. Also, be able to solve nonlinear autonomous second order differential equations and apply these methods to some physical problems.
  • Describe the basic structure of the solution space for linear differential equations (principally of second order) and be able to use this structure to solve such equations.
  • Construct and analyze models for physical systems (such as for small mechanical vibrations and electric circuits) that can be described by second order linear differential equations.
  • Use Laplace transforms to solve initial value problems.
While it may not be stated explicitly each day, students are expected to read each section to be covered before class. Students are responsible for any material missed due to absence. Questions not addressed during class time should be asked in recitation. Any questions still unanswered may be asked in office hours. Students should also take full advantage of the tutoring services provided in the MLC (Kidder 108).

Accommodations are collaborative efforts between students, faculty and Disability Access Services (DAS). Students with accommodations approved through DAS are responsible for contacting the faculty member in charge of the course prior to or during the first week of the term to discuss accommodations. Students who believe they are eligible for accommodations but who have not yet obtained approval through DAS should contact DAS immediately.

Students are expected to be familiar with Oregon State University's Statement of Expectations for Student Conduct.

As preparation for this class, you should review the materials covered in MTH 254.

There are various resources available on the Student Companion Site hosted by the text book publisher. In particular, you may want to look at the Chapter Review Sheets.

WileyPlus will be used in this course. Please visit the following url and login

http://edugen.wileyplus.com/edugen/class/cls426988

Grades

Grade Distribution

Homework 100 Points
Labs 100 Points
Midterm 100 Points
Final 200 Points
Total 500 Points

Grade Scale (by percentage)

A 93
A- 90
B+ 87
B 83
B- 80
C+ 77
C 73
C- 70
D+ 67
D 63
D- 60

Homework

Homework problems will be assigned in WileyPlus for this course.

The suggested problems below are your opportunity to practice what you have learned and to determine which areas you need to work on more before taking an online assignment or exam. You are encouraged to study, and work on suggested problems, in small groups. Exam problems will be similar to suggested problems.

To be posted as we go.

Chapter 1

  • Sec 1.1: 1, 7, 15-20, 22, 25
  • Sec 1.2: 3, 7-11, 13
  • Sec 1.3: 1-6

Chapter 2

  • Sec 2.1: 16, 17, 20, 31, Read 38
  • Sec 2.2: 1, 3, 8
  • Sec 2.3: 1-4, 7ab, 8ab, 12, 16, 17a, Read 26 and 32
  • Sec 2.4: 1-5, 7, 10, 11, 13, 15, 23, Read 27, 32 and 33
  • Sec 2.5: 3, 7ab, 9, 15a, 20, 21
  • Sec 2.6: 1, 2, 5, 6, 15, 21, 26, 27

Chapter 3

  • Sec 3.1: 1, 2, 5, 6, 9-12, 17, 20, 21, 23, Read 28
  • Sec 3.2: 2-5, 9, 13, 14, 24, 25
  • Sec 3.3: 7, 9, 11, 17-19, 23, 27, Read 28 and 34
  • Sec 3.4: 1, 3, 5, 11-14, 16, 24, 26-28
  • Sec 3.5: 3, 4, 8, 13, 17, 20a, Read 27
  • Sec 3.6: 1, 4, 11, 14

Chapter 4

  • Sec 4.1: 2-4, 7, 8, 11, 15, 17, Read 20 and 26
  • Sec 4.2: Read 1-8, 9, 11-14, 21, 22, Read 39 (See Lab 5), Read 41
  • Sec 4.3: 1, 4, 14, 15
  • Sec 4.4: 2, 5, 6, 13

Chapter 6

  • Sec 6.2: 1-3, 5, 7, 11-14, 16, 18, 24, 25
  • Sec 6.4: (3-7)a
  • Sec 6.5: 1a, 6a, 12a
  • Sec 6.6: 4-11, 15

Computer Examples

To be posted as we go.

Labs

To be posted as we go.

Supplements

To be posted as we go.

Exams

There will be one 50 minute in-class midterm exam and a cummulative final exam. No notes nor books are allowed; however, you may use a basic scientific calculator and a 3 by 5 inch index card with handwritten notes on both sides (two for the final). No make-up midterm exams will given after the scheduled time under any circumstances. Scheduling conflicts with the final exam must be resolved in advance (see AR 16). Note that the times and dates of all final exams are set by the Registrar's Office and are available online as part of the General Catalog and Schedule of Classes.

Midterm Review

Sample Midterm Problems

Sample Final Problems

Final Review

Last updated: Wed Mar 18 16:14:17 PDT 2015