Instructor: | Marcel Oliver |
Email: | m.oliver@jacobs-university.de |
Phone: | 200-3212 |
Office hours: | Tu 11:00, We 10:00 in Research I, 107 |
TA: | Dzmitry Rumiantsau |
Email: | d.rumiantsau@jacobs-university.de |
Lectures: | Tu/Th 17:15-18:30 in West Hall 8 |
Discussion: | Mo 18:45-19:30 in West Hall 8 |
Homework: | 30% |
Midterm Exam: | 30% |
Final Exam: | 40% |
Feb. 1., 2018: | Introduction, Overview, First example: Newton's law of cooling (Brannan/Boyce, Section 1.1) |
Feb. 6., 2018: | Newton's law of cooling (ctd.); integrating factors (Brannan/Boyce, Section 1.2) |
Feb. 8., 2018: | Separable equations (Brannan/Boyce, Section 2.1) |
Feb. 13., 2018: | Modeling examples (Brannan/Boyce, Section 2.2) |
Feb. 15., 2018: | Non-uniqueness and blowup for nonlinear problems (Brannan/Boyce, Section 2.3) |
Feb. 20., 2018: | Population dynamics and logistic growth (Brannan/Boyce, Section 2.4) |
Feb. 22., 2018: | Exact equations and integrating factors (Brannan/Boyce, Section 2.5) |
Feb. 27., 2018: | Numerical methods (Brannan/Boyce, Section 2.6) |
Mar. 1., 2018: | Trapezoidal rule and Runge-Kutta methods (Brannan/Boyce, Section 2.7) |
Mar. 6., 2018: | Crash course in Linear Algebra I (Brannan/Boyce, Section 3.1) |
Mar. 8., 2018: | Crash course in Linear Algebra I |
Mar. 13., 2018: | Systems of two first-order linear equations (Brannan/Boyce, Section 3.2 and 3.3) |
Mar. 15., 2018: | Systems of two first-order linear equations, complex and repeated eigenvalues (Brannan/Boyce, Section 3.4 and 3.5) |
Mar. 20., 2018: | Second order linear equations I (selected topics from Brannan/Boyce, Chapter 4) |
Mar. 22., 2018: | Second order linear equations I (selected topics from Brannan/Boyce, Chapter 4) |
Apr. 3., 2018: | Midterm review |
Apr. 5., 2018: | Midterm Exam |
Apr. 10., 2018: | The Laplace transform (Brannan/Boyce, Section 5.1 and 5.2 |
Apr. 12., 2018: | The inverse Laplace transform, solving differential equations (Brannan/Boyce, Section 5.3 and 5.4 |
Apr. 17., 2018: | Discontinuous and periodic functions, applications to forcing (Brannan/Boyce, Sections 5.5-5.7 |
Apr. 19., 2018: | Linear stability (Brannan/Boyce, Section 7.1 |
Apr. 24., 2018: | Almost linear systems (Brannan/Boyce, Section 7.2 |
Apr. 26., 2018: | Predator-prey systems (Brannan/Boyce, Section 7.3 and 7.4) |
May 3, 2018: | Periodic solutions and limit cycles (Brannan/Boyce, Section 7.5) |
May 8, 2018: | Chaos and strange attractors (Brannan/Boyce, Section 7.6) |
May 15, 2018: | Final exam review |
TBA: | Final Exam, Room TBA |