Instructor: | Marcel Oliver |
Email: | m.oliver@jacobs-university.de |
Phone: | 200-3212 |
Office hours: | Mo 11:30, We 10:00 in Research I, 107 |
TA: | TBA |
Lectures: | Mo/We 11:15-12:30 in East Hall 2 |
Discussions: | Th, 13:15 in East Hall 2 |
Homework: | 30% |
Midterm Exam: | 30% |
Final Exam: | 40% |
Feb. 4., 2019: | Introduction, Overview, First example: Newton's law of cooling (Brannan/Boyce, Section 1.1) |
Feb. 6., 2019: | Integrating factors and separation of variables (Brannan/Boyce, Sections 1.2 and 2.1) |
Feb. 12., 2019: | Detailed discussion of long-time behavior, modeling examples (Brannan/Boyce, Section 2.2) |
Feb. 13., 2019: | Differerence between linear and nonlinear equations; existence, uniqueness; examples of non-uniqueness and blow-up (Brannan/Boyce, Section 2.3) |
Feb. 19., 2019: | Population dynamics and logistic growth; optimal harvesting (Brannan/Boyce, Section 2.4) |
Feb. 20., 2019: | Exact equations (one example), elementary discussion of numerical methods (Brannan/Boyce, selected topics from Sections 2.5-2.7) |
Feb. 26., 2019: | Exact equations and integrating factors (Brannan/Boyce, Section 2.5) |
Feb. 27., 2019: | Numerical methods (Brannan/Boyce, Section 2.6) |
Mar. 5., 2019: | Trapezoidal rule and Runge-Kutta methods (Brannan/Boyce, Section 2.7) |
Mar. 6., 2019: | Crash course in Linear Algebra I (Brannan/Boyce, Section 3.1) |
Mar. 12., 2019: | Crash course in Linear Algebra I |
Mar. 13., 2019: | Systems of two first-order linear equations (Brannan/Boyce, Section 3.2 and 3.3) |
Mar. 19., 2019: | Systems of two first-order linear equations, complex and repeated eigenvalues (Brannan/Boyce, Section 3.4 and 3.5) |
Mar. 20., 2019: | Midterm review |
Mar. 26., 2019: | Midterm Exam |
Mar. 27., 2019: | Second order linear equations I (selected topics from Brannan/Boyce, Chapter 4) |
Apr. 2., 2019: | Second order linear equations I (selected topics from Brannan/Boyce, Chapter 4) |
Apr. 3., 2019: | The Laplace transform (Brannan/Boyce, Section 5.1 and 5.2 |
Apr. 9., 2019: | The inverse Laplace transform (Brannan/Boyce, Section 5.3) |
Apr. 10., 2019: | Solving differential equations via the Laplace transform (Brannan/Boyce, Section 5.4 |
Apr. 23., 2019: | TBA |
Apr. 24., 2019: | Discontinuous and periodic functions, applications to forcing (Brannan/Boyce, Sections 5.5-5.7 |
Apr. 30., 2019: | Convolution Integrals, linear systems, and feedback control (selected topics from Brannan/Boyce, Sections 5.8 and 5.9) |
May 7., 2019: | Linear stability (Brannan/Boyce, Section 7.1 |
May 8, 2019: | Almost linear systems (Brannan/Boyce, Section 7.2 |
May 14, 2019: | Predator-prey systems (Brannan/Boyce, Section 7.3 and 7.4) |
May 15, 2019: | Final exam review |
TBA: | Final Exam, Room TBA |