Differential Equations (University)
Students will be able to rigorously derive, solve, and analyze first-order ODEs, linear systems, and PDEs using analytical techniques, Laplace transforms, and F
Differential Equations (University). This course is designed for undergraduate students in mathematics, physics, and engineering who have mastered multivariable calculus and linear algebra. Students will be able to rigorously derive, solve, and analyze first-order ODEs, linear systems, and PDEs using analytical techniques, Laplace transforms, and Fourier series. This course is independent preparation and is not affiliated with or endorsed by the independent university-level study (not affiliated with any university); check the official site for current test formats and dates. Every lesson includes tutor notes, a practical lab, worked exercises and a 12-question quiz you must pass at 80%, followed by a pooled final exam and free and paid practice tests.
Curriculum
One complete track with its own final exam and certificate.
10 modules mapped to the official examination areas, from foundations to final mocks.
Course Overview, Prerequisites, and Study Plan. Practice activity: Map a complex physical system to its corresponding differential equation type and identify required initial conditions..
- 1.1 Syllabus Review and Learning Objectives Lab90 min
- 1.2 Classification of Differential Equations: Order, Linearity, and Type Lab90 min
- 1.3 Review of Calculus: Integration Techniques and Taylor Series Lab90 min
- 1.4 Review of Linear Algebra: Basis, Span, and Linear Transformations Lab90 min
- 1.5 Constructing a Rigorous Proof and Problem-Solving Framework Lab90 min