Mathematics

Differential Equations Study Guide

First and second-order ODEs, systems of ODEs, Laplace transforms, and applications to physics and engineering.

Core topics in Differential Equations

Diffeq is technique-heavy: 8 different methods for 8 different equation types, and recognition matters more than execution.

Fennie drills equation-type identification as a separate skill so you stop trying separation of variables on every problem.

Different — more technique selection, less integration acrobatics.

Yes — virtually all engineering majors require it.

Yes — including the inverse Laplace and partial fraction decomposition.

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Foundational algebra — variables, equations, inequalities, functions, polynomials, and the gateway to higher math.

Euclidean geometry — points, lines, triangles, circles, proofs, and analytic geometry.

Right-triangle and unit-circle trig, identities, equations, and applications to waves and vectors.

Bridge to calculus — advanced functions, sequences and series, limits, conic sections, and analytic trigonometry.