Course Syllabus
The purpose of this online course is to provide the beginners with an easy to follow treatment of ordinary and partial differential equations as a convenient tool for understanding the mathematical content of real world phenomena. Significance of differential equations are explained by simple but realistic mathematical models such as Malthusian model of population growth, comparison of the free fall with a fall of a body in Earth’s atmosphere, explanation of collapse of driving shafts in motor ships by solving differential equations. Symmetries of differential equations appear naturally in explaining Kepler’s laws of planet’s motion from specific symmetries of Newton’s gravitation law. Unified treatment of ordinary and partial differential equations as well as their symmetries via concrete mathematical models give a background for students to make their own research.
This is a self-paced course consisting of 7 modules. Below you can see approximately estimated time in hours for each module:
| Module 1 | 4 hours |
| Module 2 | 1 hour |
| Module 3 | 2 hours |
| Module 4 | 6 hours |
| Module 5 | 7 hours |
| Module 6 | 3 hours |
| Module 7 | 3 hours |
Modules 1-5 are followed by quizzes. Please follow the link in the left-hand menu to complete a quiz after reading each Module.
Modules 6 and 7 are not obligatory. They are designed for those who would like to exercise a bit. Our further courses are supposed to provide more exercises, detailed calculations and problem solving.
Course Summary:
| Date | Details | Due |
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