Math 256: Introduction to Differential Equations

2018 Fall

Instructor

Qingyun Wang (first name pronunciation: ching-win)

Email: qingyunw@uoregon.edu

Office phone: (541) 346-0983

Office: 1B Deady Hall

Office hours: Tuesday 10-11am, Wednesday 10-12pm, or by appointment

Class Number 13762

Textbook Boyce & DiPrima, Elementary Differential Equations, 10th Ed., Wiley, 2012

Class Meeting MTWF 9:00-9:50AM 303 DEA

Prerequisite MATH 253.

Workload: An average well-prepared student should expect to spend about 12 hours per week on this class (including 4 hours lecture time), but there will be a lot of variation depending on background and ability.

Calculators A graphing calculator is allowed for all the homework and exams. For homework, it is suggested to use calculator or other technology only to check your work. For all the exams, you will have to show all intermediate steps for credit.


Grading

Method 1 Method 2

Homework-----------------20% Homework-----------------20%

Midterm 1------------------20% Midterm 1------------------15%

Midterm 2------------------20% Midterm 2------------------25%

Final Exam------------------40% Final Exam------------------40%

Whichever gives you better grade will be your final grade.

At the end all percentage grade will be converted into lettered grade. I use the following convention:

97% to 100%= A+

93% to 96% = A

90% to 92% = A-

87% to 89% = B+

83% to 86% = B

80% to 82% = B-

77% to 79% = C+

73% to 76% = C

70% to 72% = C-

67% to 70% = D+

63% to 66% = D

60% to 62% = D-

59 or below = F


Exams

Midterm 1 Monday of Week 4

Practice exam for midterm 1 is available here.

Solution to the practice exam is available here.

Solution to midterm 1 is available here.


Midterm 2 Monday of Week 8

Practice exam for midterm 2 is available here.

Solution to the Practice exam is available here.

Solution to midterm 2 is available here.

Final 10:15-12:15 Wednesday, December 5, 303 DEA.

Practice exam for final is available here.

Exam Policies

  • All exams are cumulative, although they will usually emphasize the most recent material. No electronic devices will be permitted on any exam.
  • At least 80% of the points of the midterm will be based on homework problems, on problems on separate supplementary lists.
  • Complaints about the grading of any exam must be submitted in writing by the beginning of the first class period after the class in which that exam is returned.
  • Caution: There will be NO make-up exam. If you have a documented medical condition that prevent you from attending the exam physically, other arrangement will be made.

Homework

There will be weekly written homework, except possibly for the last week. You are encouraged to discuss homework problems with each other, but you need to submit your own work and make sure you understand it.

Paper assignments will be turned in to me at the beginning of the class period in which they are due. Normally the homework is distributed on Wednesday and will be due the following Wednesday. Some instructions:

  • Staple pages together. Don't fold or tear corners or fold in half.
  • If you cooperate with someone else, that person's name must appear below yours.
  • Simplify all answers.
  • Show your work. Otherwise you will not get credit.

Caution: I will NOT accept late homework. However I will drop the homework with lowest grade when calculating the final grade.


Homework assignment:

Week 1(Due Wednesday of Week 2):

Section 1.1, page 7: 1, 13, 16, 22, 23, 24; Section 1.2, page 15: 4, 5, 9, 12, 15, 16; Section 1.3, page 24: 1, 8, 15, 20, 22.


Week 2(Due Wednesday of Week 3):

Section 2.1, page 40: 2, 15, 17, 30, 32; Section 2.2, page 48: 6, 19, 23, 29, 30; Section 2.3, page 60: 1, 4, 9, 14, 16;

Section 2.4, page 76: 1, 14, 23, 25, 32


Week 3(Due Wednesday of Week 4)

Section 2.5, page 88: #7, 28 Section 2.6, page 101: #2, 5, 14, 18, 19, 23.

Section 2.7, page 110: #5, 12, 20, 22 Section 2.8, page 120: #13, 14.


Week4(Due Wednesday of Week 5)

Section 3.1, page 144: #1, 10, 20, 23, 27 Section 3.2, page 155: #2, 7, 13, 14, 21, 25


Week5(Due Wednesday of Week 6)

Section 3.3, page 164: #1, 7, 20, 29, 32 Section 3.4 , page 167: #2, 10, 16, 23, 24, 27.


Week6(Due Friday of Week 7)

Section 3.5, page 184: # 1, 6, 17, 20, 31, 36 Section 3.6, page 190: #1, 10, 13, 16, 29 Section 3.7, page 203: #2, 5, 7, 13, 18


Week7(Due Wednesday of Week 8)

Section 3.8, page 217: #1, 5, 7, 10, 12, 16


Week8(Due Wednesday of Week 9)

Section 4.1: 1, 7, 12, 26, 28

Section 4.2: 11, 30, 37, 31, 40


Week9 & Week 10 (Due Friday of Week 10)

Section 7.1, #1, #17

Section 7.3, #16, 20, 22

Section 7.5,#7, 8, 9 ,10, 15, 16


Tentative Schedule

Week 1: Chapter 1, start Chapter 2 .

Week 2: Middle of chapter 2.

Week 3: Finish Chapter 2.

Week 4: Start chapter 3, midterm 1

Week 5: Middle of Chapter 3

Week 6: Later parts of Chapter 3.

Week 7: Finish Chapter 3, 4.1, 4.2.

Week 8: Start chapter 7, midterm 2

Week 9: Chapter 7.

Week 10: Chapter 7, 8.1,8.2. Review.

Learning Objectives

The goal of this course is to introduce differential equations, understand basic modeling, and learn how to solve the easiest types of problems.

Specific goals:

  • Identify differential equations and their properties (e.g. linear, constant coefficients, separable, etcetera).
  • Understand initial value problems, and the fundamental theorem of differential equations.
  • Be able to model problems using differential equations.
  • Solve first order differential equations using the appropriate technique.
  • Analyze first order differential equations qualitatively. Slope fields
  • Approximate first order differential equations with Euler’s method.
  • Solve higher order differential equations with constant coefficients.
  • Solve linear systems of differential equations with constant coefficients.
  • Analyze first order systems of differential equations qualitatively. Phase plane diagrams.
  • Understand the various options for tackling difficult differential equations. (Although this course emphasizes differential equations which can be solved, one should know one’s options.)

Learning Environment The University of Oregon strives for inclusive learning environments. Students who have a documented disability and anticipate needing accommodations in this course should see me as soon as possible. You are also encouraged to contact the Accessible Education Center in 164 Oregon Hall at 541-346-1155 or uoaec@uoregon.edu.

Academic Conduct The code of student conduct and community standards is at conduct.uoregon.edu. In this course, it is appropriate to help each other on homework as long as the work you are submitting is your own and you understand it. It is not appropriate to help each other on exams, to look at other students exams, or to bring unauthorized material to exams.

Other Useful Information

  • Math Tutoring Lab(at the Teaching and Learning Center), the link is here.
  • Drop-in homework help at the Math library in Fenton hall, the link is here.
  • SafeRide:
  • Safe Ride is a free shuttle service that provides university students, faculty, and staff with an alternative to traveling alone at night, relying on others to take them home or being stuck in a potentially dangerous situation.
  • Reservation Line: 541-346-7433 ext. 2 For more information, please click here.

Academic Deadlines

Check here.