• Time and place: TTh: 13:35--14:55. Skiles 254.
• Text: Edwards and Penney, Differential Equations and Boundary Value Problems, Computing and Modeling, 3rd edition.
• Instructor: Dr. Luz V. Vela-Arevalo
• Office: Skiles 242.
• Office Hours: TTh: 11:00--11:55.
• Phone: (404)894-6540
• Email: luzvela@math.gatech.edu
• Webpage: http://www.math.gatech.edu/~luzvela
• Recitation: MW: 14:05--14:55. Skiles 268.
• Teaching Assistant: Trevis Litherland.
• Office: Skiles 127C.
• Office Hours: MW: 10:00--11:00.
• Email: trevisl@math.gatech.edu
• Homework: Homework will be assigned but will not be collected. There will be weekly quizzes based on the homework, hence you are strongly recommended to do all homework.
• Grading: Your final grade is based on the following scheme: 30% your final exam, 20% each midterm exam, and 30% the weekly quizzes (10 best quizzes out of 11).
• Core Curriculum Course Materials . Find on-line materials for the mathematics courses in Georgia Tech's core curriculum. These included detailed course descriptions and standard syllabi for these courses, as well as supplementary instructional materials and sample tests and exams.

Tentative Syllabus

Week 1. 01/09-01/11  Definitions, models, solutions by integrals, slope fields.   Homework: 1.1:2,8,12,20,22,  1.2:4,6,10,14,24  1.3:2,6,10,14,16,20,30

Week 2. 01/16-01/18  Separable equations, linear first order equations, mixtures, Newton's Law of cooling.  Homework: 1.4:2,6,12,14,20,22,26,32,40,  1.5:4,8,12,20,22,24,26

Week 3. 01/23-01/25  Homogeneous equations, Bernoulli's equation, exact equations, solution by sustitutions.  Homework: 1.5:31,32,34,36,42,  1.6:6,10,14,20,32,36,38

Week 4. 01/30-02/01  Population models, qualitative methods, fixed points, stability, phase diagram.  Homework: 2.1:2,4,6,8,12,24,  2.2:4,6,10,12,14,24

Week 5. 02/06  Acceleration and velocity models, numerical methods: Euler and improved Euler methods.  Homework: 2.3:2,6,10,12,20,  2.4:4,6,  2.5:2,6.

   1st midterm exam 02/08

Week 6. 02/13-02/15  Higher order linear equations, Wronskian, solutions linearly dependent or independent, homogeneous equations with constant coefficients.  Homework: 3.1:2,4,8,16,22,26,30,34,40,42,  3.2:4,8,10,14,16,18,22,24,  3.3:4,8,12,16,22,28,32,36.

Week 7. 02/20-02/22  Mechanical vibrations, nonhomogeneneous linear equations: method of undetermined coefficients.  Homework: 3.4:2,4,8,10,16,18,20,23,  3.5:2,6,10,14,18,24,28,36,40.

Week 8. 02/27-03/01  Nonhomogeneneous linear equations: method of variation of parameters, forced oscillations. Matrices and linear systems of differential equations.  Homework: 3.5:,48,50,54,60,62,  3.6:4,6,10,12,18,20,24,26,28  5.1:2,4,6,14,18,24,28,36,41

Week 9. 03/06-03/08  Eigenvalues, eigenvectors, distinct eigenvalues, complex eigenvalues, second order systems. Repeated eigenvalues, generalized eigenvectors.  Homework: 5.22,4,6,12,16,22,24,26,  5.3:2,4,6,10,14,20,  5.4:4,8,16,18,20.

Week 10. 03/13  Matrix exponentials.  Homework: 5.5:2,4,6,8,12,16,20.

Homework for extra credit. Due with the second midterm exam.

   2nd midterm exam 03/15 Solutions for 2nd midterm

Week 11. 03/20-03/22  Spring break.

Week 12. 03/27-03/29  Nonlinear systems, stability, phase portraits, linearization, linear stability.  Homework: 6.1:2,4,8,24,26,  6.2:2,4,6,8,10.

Week 13. 04/03-04/05  Predator-prey model, nonlinear mechanical systems, chaos in iterative maps.  Homework: 6.3:1,2,8,9,10,26,28,30,  6.4:2,4,8,14,16,  6.5.

Week 14. 04/10-04/12  Laplace transform, solution of initial value problems for linear equations with constant coefficients, transforms of integrals, partial fractions, translations.  Homework: 7.1:6,8,10,12,16,20,26,28,30,  7.2:2,4,8,14,10,16,18,22,  7.3:2,4,10,12,14,16,20,28,30,32.

Week 15. 04/17-04/19  Derivatives, integrals and products of transforms, convolution, step function, translation on the t-axis, transform of periodic functions.  Homework: 7.4:2,4,8,16,18,30,32,34,  7.5:12,16,20,32,34.

Week 16. 04/24-04/26  Impulses and delta functions.  Homework: 7.6:2,4,6,8,18. Review.

  Final exam May 1st (Tue) 11:30 - 2:20