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Differential Equations Syllabus

Solve ordinary and partial differential equations and model dynamic systems across analytical, numerical, and qualitative methods.. The complete Differential Equations outline — 7 subjects, 32 chapters and 100 topics — laid out so you can see exactly what has to be covered and tick each item off as you go.

7Subjects

32Chapters

100Topics

0Sub-topics

373Flashcards

~75hEst. first pass

Differential Equations subjects

Each subject below has its own page with the full chapter → topic → sub-topic tree and a set of real exam-style flashcards.

First-Order Ordinary Differential Equations

5 chapters · 19 topics

~15h first pass · 59 flashcards Higher-Order Linear Differential Equations

5 chapters · 14 topics

~10h first pass · 55 flashcards Laplace Transforms and Operational Methods

4 chapters · 12 topics

~9h first pass · 50 flashcards Series Solutions and Special Functions

3 chapters · 8 topics

~6h first pass · 50 flashcards Systems of Differential Equations and Dynamical Systems

5 chapters · 16 topics

~10h first pass · 50 flashcards Numerical Methods for Differential Equations

4 chapters · 11 topics

~8h first pass · 59 flashcards Partial Differential Equations and Boundary-Value Problems

6 chapters · 20 topics

~15h first pass · 50 flashcards

Differential Equations flashcard decks

373 question-and-answer cards across 7 decks, written against this syllabus. Preview any deck free.

How to work through the Differential Equations syllabus

The outline on this page is arranged the way the syllabus itself is: subject, then chapter, then topic, then sub-topic. That last level is what most study plans skip, and it is where coverage actually goes wrong — a chapter marked "done" often has three sub-topics inside it that were never touched.

Weight your plan accordingly: Partial Differential Equations and Boundary-Value Problems carries 20 topics while Series Solutions and Special Functions carries 8. Giving both the same number of weeks is the most common planning mistake for Differential Equations.

The ~75 hour estimate above is a first pass only: roughly 45 minutes per topic plus 12 minutes per sub-topic. Revision cycles, past papers and mocks sit on top of that number.

Differential Equations syllabus FAQ

What subjects are in the Differential Equations syllabus?

Differential Equations covers 7 subjects: First-Order Ordinary Differential Equations, Higher-Order Linear Differential Equations, Laplace Transforms and Operational Methods, Series Solutions and Special Functions, Systems of Differential Equations and Dynamical Systems, Numerical Methods for Differential Equations and Partial Differential Equations and Boundary-Value Problems. Together they contain 32 chapters and 100 named topics.

How big is the Differential Equations syllabus?

The full Differential Equations outline breaks down into 32 chapters, 100 topics and 0 sub-topics. Partial Differential Equations and Boundary-Value Problems is the largest single subject with 20 topics across 6 chapters.

How long does it take to cover the whole Differential Equations syllabus?

Roughly 75 hours for one full pass. That estimate allows about 45 minutes per topic plus 12 minutes per sub-topic, so it is first-pass coverage — revision, past papers and mock tests sit on top of it. At 3 hours a day that is about 4 weeks.

Are there Differential Equations flashcards?

Yes — 373 question-and-answer flashcards across 7 decks, one per subject, written against this syllabus. A sample of every deck is readable on this site for free, and the complete decks are in the Examius app.

Is this Differential Equations syllabus free to use?

Yes. Every page here is free to read, and importing the Differential Equations syllabus into the Examius app to tick off topics as you finish them is free too. No account is needed to start.

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