| Γνωριμία με το Mathematica (version 5) | ||
| 10-minute tutorial of Mathematica (nb) |
| Γνωριμία με το Mathematica (version 4.1) | ||
| Quick Tips for Mathematica (nb) | ||
| Plotting with Mathematica (nb) |
Week 1: |
Student's goals for this week: To learn about the (unforced and forced) exponential differential equation and how it relates to personal finances. |
| Exponential (pdf) | ||
| Basics (nb) | ||
| Tutorials (nb) | ||
| Give It a Try (nb) | ||
| Literacy (nb) | Literacy (pdf) |
Week 2: |
Student's goals for this week: To learn about the oscillator differential equation. |
| Oscillator Differential Equation (pdf) | ||
| Basics (nb) | ||
| Tutorials (nb) | ||
| Give It a Try (nb) | ||
| Literacy (nb) | Literacy (pdf) |
Week 3: |
Student's goals for this week: To learn about Laplace and Fourier Transforms and their application in solving differential equations. |
| Laplace-Fourier (pdf) | Project 1 (nb) | |
| Basics (nb) | ||
| Tutorials (nb) | ||
| Give It a Try (nb) | ||
| Literacy (nb) | Literacy (pdf) |
Week 4: |
Student's goals for this week: To learn about modern issues of differential equations and, most importantly, about the dangers of drinking and driving. |
| Differential Equations (pdf) | Project 2 (nb) | |
| Basics (nb) | ||
| Tutorials (nb) | ||
| Give It a Try (nb) | ||
| Literacy (nb) | Literacy (pdf) |
Week 5: |
Student's goals for this week: To learn about phase lines, bifurcation points, and the separation of variables technique (with danger zones) in dealing with first order differential equations. |
| First Order (pdf) | Paradeigma Proodou | |
| Basics (nb) | ||
| Tutorials (nb) | ||
| Give It a Try (nb) | ||
| Literacy (nb) | Literacy (pdf) |
Week 6: |
Student's goals for this week: To learn to use flow charts of vector fields to study the behavior of the solutions of the corresponding systems of linear differential equations. |
| System Flow (pdf) | ||
| Basics (nb) | ||
| Tutorials (nb) | ||
| Give It a Try (nb) | ||
| Literacy (nb) | Literacy (pdf) |
Week 7: |
Student's goals for this week: To learn to use eigenvectors and eigenvalues to study the behavior of the solutions of the corresponding systems of linear differential equations. |
| Linear (pdf) | ||
| Basics (nb) | ||
| Tutorials (nb) | ||
| Give It a Try (nb) | ||
| Literacy (nb) | Literacy (pdf) |
Week 8: |
Student's goals for this week: To learn to linearize a nonlinear system of differential equations at equilibrium points, and about Lyapunov's rules. |
| Linearize (pdf) | ||
| Basics (nb) | ||
| Tutorials (nb) | ||
| Give It a Try (nb) | ||
| Literacy (nb) | Literacy (pdf) |
Week 9: |
Student's goals for this week: To learn about the heat and wave equations and how they relate to the Fourier Transform. |
| Heat - Wave Equations (pdf) | ||
| Basics (nb) | ||
| Tutorials (nb) | ||
| Give It a Try (nb) |