Ordinary Differential Equations - Summer 2014

Course website: math.columbia.edu/~tcollins/ODE

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Instructor:

Tristan Collins

Office Hours:

Monday 3-5pm in Math 622

TAs:

Laura Hayward - lauhayward (at) gmail (dot) com

Laura's Office Hours:

Tuesday 4pm- 5pm in Math 622,
Wednesday 9:30am-10:30am, 4pm-5pm in Math 622
Thursday 9:30am - 10:30am

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Textbook:

Boyce and DiPrima - Elementary Differential Equations and Boundary Value Problems (Tenth edition), available in the university bookstore.

Material:

Chapter 1: sections 1 - 3
Chapter 2: sections 2, 4, 5, 6
Chapter 3: sections 1 - 6
Chapter 4: sections 1 - 4
Chapter 5: sections 2 - 5
Chapter 6: sections 2 - 6
Chapter 7: sections 4 - 9

Prerequisites:

Calculus III or equivalent.

Grading:

Homework 25%; Midterm 30%; Final 45%

Midterms:

There will be one midterm exam during class. Make-up exams will not be given unless a written excuse for missing the exam is provided from either a doctor in the case of illness or from a dean in other exceptional circumstances.

Midterm : Tuesday, June 17, 2014

Final:

The final exam will be given in class on . All students must take the final at the time scheduled.

Final: Thursday, July 3, 2014, Hamilton room 602

Homework:

There will be two weekly written assignments which can be found below. Assignments will be due each week on Monday and Thursday. They are to be turned in to the course box on the 4th floor of the mathematics bilding.

• Late homework will not be accepted.
• The two lowest homework grades will be dropped.
• Please staple or paper clip your work.
• Don't forget to write your name on it!

Graded homework will be returned in class. Old homeworks are discarded after 2 weeks!

Help room:

Mathematics 406. There is more information here.

Students with disabilities:

Students with disabilities requiring special accommodation should contact the Office of Disability Services (ODS) promptly to discuss appropriate arrangements. The ODS website is here .

Calculators:

Calculators are not needed for this course, and they will not be allowed in the exams.

Honesty:

Copying your written work from somebody else or from any other source is considered cheating and will be dealt with severely. Any cheating during midterms or finals will result in you failing the course and the matter being reported to your dean. The university's policy on Academic Integrity can be found here.

Important Dates:

May 27: First day of class
June 17: Midterm
July 3: Final Exam, held in Hamilton room 602

How To Study Math:

FIGHT IT! .

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Syllabus

This is based on previous courses, and will be updated as the year progresses. For the material to be covered, see Material , above.

Date	Reading	Homework
May 27-30	1.2, 1.3, 2.1, 2.2, 2.4 - 2.6, 3.1: Introduction, 1st and 2nd order ODE's	Homework 1
June 2, 3	3.1-3.5: 2nd Order Linear ODEs	Homework 2
June 4, 5	3.4-3.6, 4.1-4.4: Variation of Parameters, Higher order ODEs	Homework 3
June 9, 10	5.1-5.4: Series Solutions of ODEs	Homework 4
June 12-June 16	5.3-5.6 : Series Solutions; convergence and regular singular points	Midterm Review and Solutions
June 17	Midterm	Solutions
June 18, 19	6.1-6.5: The Laplace transform	Homework 5
June 24, 25	7.2-7.9 : Linear algebra review, 1st order systems	Homework 6
June 26-27	7.1, 7.4-7.9 : 1st order systems	Homework 7
June 24-July 5	7.9, 9.1, 9.2 : 1st order systems, qualitative analysis	Homework 8 Final Exam Review and Solutions