Public learning track
Damped Oscillations
4 lessons
Goal
Extend the SHM model with damping terms, solve the resulting second-order differential equations, and interpret heavy, critical, and light damping behaviour.
Featured Diagrams
Introduction to Damped Oscillations
4 lessons
0 of 4 done
Standards Covered
- FM-I4General Certificate of Education Advanced Level (UK A-Level) · Further-maths · Grade 11Solve differential equations of form y''+ay'+by=0 where a and b are constants by using the auxiliary equation
- FM-I6General Certificate of Education Advanced Level (UK A-Level) · Further-maths · Grade 11Understand and use the relationship between the cases when the discriminant of the auxiliary equation is positive, zero and negative and the form of solution of the differential equation
- FM-I8General Certificate of Education Advanced Level (UK A-Level) · Further-maths · Grade 11Model damped oscillations using 2nd order differential equations and interpret their solutions
Curriculum Framework
11th Grade · Math · UK A-Level
38
6 lessons
Coupled First-Order Differential Equations
39
4 lessons
Critically Evaluating Data Representation
42
6 lessons
de Moivre's Theorem: Proof and Powers