Harvard MATH 1A: Introduction to Calculus

Math 1A is Harvard's introductory calculus course — limits, derivatives, integrals, and the Fundamental Theorem of Calculus — for students who didn't take or don't have credit for calculus before college. It leads into Math 1B and the rest of the math sequence.

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What makes it hard

The material is standard first-semester calculus, but Harvard's pacing and problem sets emphasize conceptual understanding and word problems over rote computation. Students placed into 1A often have uneven precalculus backgrounds, and shaky algebra is the most common source of lost points.

What you'll cover

• Limits and continuity
• Derivatives and applications
• Optimization and related rates
• Integrals
• The Fundamental Theorem of Calculus
• Modeling with calculus

The MATH 1A study guide

How to study for Harvard MATH 1A, step by step.

1
Shore up precalculus in the first two weeks
Most points lost in Math 1A are algebra points, not calculus points. Audit your factoring, exponents, logs, and trig early — the course assumes them even when your background didn't cover them evenly.
2
Do a few problems every day
Math 1A emphasizes conceptual understanding, and concepts solidify through daily contact. Twenty minutes of problems daily beats a long pre-pset scramble.
3
Practice word-problem setups separately
Optimization and related-rates problems are translation exercises first. Practice converting the words into a function and a constraint — once the setup is right, the calculus is routine.
4
Self-test before each exam
Work problems from a blank page under light time pressure rather than rereading notes. The gap between following a solution and producing one is exactly what exams measure.
5
Build the habit with Fennie
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How Fennie helps with MATH 1A

Fennie's Daily Plans pace Math 1A with daily problem practice and early precalc reinforcement, which is where most 1A students actually lose points. Chat through word-problem setups step by step, and generate practice problems targeted at whatever the last pset exposed.

FAQ

Is Math 1A hard at Harvard?

It's the gentlest entry point in Harvard's math sequence, but it still moves briskly and tests understanding over memorization. Students with algebra gaps feel it most.

Should I take Math 1A or 1B?

Harvard's math placement process sorts this — 1A if you're new to calculus, 1B if you've seen derivatives and basic integrals. When in doubt, the placement recommendation is usually right.

What comes after Math 1A?

Math 1B (integration, series, and differential equations), then typically Math 21A/21B for multivariable calculus and linear algebra.

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