MIT 18.02: Multivariable Calculus
18.02 is MIT's multivariable calculus GIR: vectors, partial derivatives, multiple integrals, and vector calculus through Green's, Stokes', and the divergence theorems. It's required for every MIT student and is among the most-viewed math courses on OpenCourseWare.
Fennie is independent and not affiliated with MIT. This is an unofficial study guide.
Build my 18.02 study planWhat makes it hard
The vector calculus finale is the wall — line and surface integrals, and knowing which of the three big theorems applies where. Setting up integrals over 3D regions requires spatial reasoning that some students need weeks of deliberate practice to build.
What you'll cover
- • Vectors and matrices
- • Partial derivatives and gradients
- • Optimization and Lagrange multipliers
- • Double and triple integrals
- • Line integrals and Green's theorem
- • Stokes' theorem and the divergence theorem
The 18.02 study guide
How to study for MIT 18.02, step by step.
- 1
Drill integral setups without solving them
Given a 3D region described in words, write the bounds — multiple orders, multiple coordinate systems — then stop. Setup is where 18.02 exam points are won, and you can do ten setups in the time one full solution takes.
- 2
Sketch every region and surface
The spatial reasoning that 18.02 demands is built through deliberate drawing practice, not staring at formulas. A rough sketch per problem, every time, for weeks — it compounds.
- 3
Bank extra time for the vector calculus finale
Line integrals, surface integrals, and choosing among Green's, Stokes', and the divergence theorems form the wall at the end. Start that material early; knowing which theorem applies where is its own skill.
- 4
Benchmark against OCW exams, solutions after
OCW posts 18.02 exams with solutions. Take them timed, attempt every problem honestly, and only then study the solutions — the comparison shows whether your setups match MIT's expectations.
- 5
Keep the practice continuous with Fennie
Upload the 18.02 syllabus or your OCW schedule and Fennie's Daily Plan keeps integral setups in constant rotation while reserving days for the big theorems, with setup-only quizzes generated from the actual course materials. Free to start.
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How Fennie helps with 18.02
Fennie's Daily Plans keep 18.02's integral setups in continuous practice and bank extra days for the vector calculus theorems at the end. Chat through how to parametrize a surface or pick the right theorem, and drill setup-only practice problems — where most exam points are won or lost.
FAQ
Is 18.02 harder than 18.01?
Most students find the visualization demands harder, especially the final vector calculus unit. The computation is similar; the setup is the challenge.
How long does 18.02 take on OCW?
A full self-study pass typically takes 12–14 weeks at 8–10 hours per week, with the last third deserving the most time.
Do I need 18.01 before 18.02?
Yes — 18.02 assumes complete fluency with single-variable differentiation and integration from day one.
Pass 18.02 with a plan, not a cram
Upload your 18.02 materials and Fennie generates a Daily Plan paced to your deadline — plus chat, flashcards, and quizzes built from the actual course content.
Get started freeMore MIT courses
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