Berkeley MATH 1A: Calculus I
MATH 1A is Berkeley's first-semester calculus course covering limits, derivatives, applications of differentiation, and the beginnings of integration. It's the standard entry point for STEM majors without AP credit and a prerequisite chain-starter for nearly every technical major.
Fennie is independent and not affiliated with UC Berkeley. This is an unofficial study guide.
What makes it hard
Difficulty varies sharply by instructor: exam style and curves differ semester to semester, which is why Berkeley students research professors before enrolling. The constant is that exams demand more conceptual reasoning and trickier problems than high school calculus, and the curve means doing average isn't comfortable.
What you'll cover
- • Limits and continuity
- • Derivatives and differentiation techniques
- • Optimization and related rates
- • Curve sketching and the Mean Value Theorem
- • Introduction to integration
The MATH 1A study guide
How to study for Berkeley MATH 1A, step by step.
- 1
Find your instructor's past exams in week one
MATH 1A difficulty varies sharply by professor, and exam style is the variable. Hunt down past exams from your specific instructor early; they're worth more than any general calculus resource.
- 2
Do more problems than assigned
The homework is a floor. Add textbook problems on each topic, prioritizing the conceptual and proof-flavored questions that separate Berkeley exams from AP-style computation.
- 3
Use discussion sections as practice, not review
Work the worksheet problems yourself before looking at solutions. The GSI-led sections are the closest weekly approximation of exam conditions you'll get for free.
- 4
Go timed in the week before each midterm
Shift from learning mode to performance mode: full past exams under time pressure, no notes, grading yourself honestly. On a curve, execution under pressure is the differentiator.
Today
Today's MATH 1A plan
What a Fennie Daily Plan looks like for MATH 1A. Yours is built from your own syllabus and adapts every day to your deadlines and progress.
First plan free, no card required. Fennie is independent and unaffiliated with your school.
FAQ
Is MATH 1A hard at Berkeley?
Harder than AP Calculus AB, and heavily instructor-dependent; some semesters have notoriously hard exams. Expect conceptual problems and proofs of basic facts, not just computation, and check past exams from your specific professor early.
Should I skip MATH 1A with AP credit?
A 5 on AP Calculus AB lets many students start in MATH 1B, but be honest about your foundation: 1B's integration techniques and series assume strong 1A skills. Plenty of students with AB credit retake 1A for a cleaner footing; both choices are common.
How do I get an A in MATH 1A?
Do more problems than assigned, and prioritize your professor's past exams since style varies widely by instructor. Work problems under time pressure in the week before each midterm rather than rereading notes.
More Berkeley courses
MATH 1B: Calculus II
MATH 1B covers techniques of integration, applications, infinite sequences and series, and first- and second-order differential equations. It's required for engineering, CS, and physical science tracks, and it carries a reputation as one of the toughest lower-division math courses at Berkeley.
MATH 54: Linear Algebra and Differential Equations
MATH 54 packs linear algebra (matrices, vector spaces, eigenvalues) and differential equations into one semester, serving engineering, CS, and science majors. The linear algebra it teaches underpins machine learning coursework, which makes it one of Berkeley's most consequential lower-division courses.
MATH 53: Multivariable Calculus
MATH 53 is Berkeley's multivariable calculus course: parametric curves, partial derivatives, multiple integrals, and the vector calculus arc through Green's, Stokes', and the divergence theorem. It's required across engineering and the physical sciences and is the calculus that physics and upper-division applied courses assume.
MATH 55: Discrete Mathematics
MATH 55 is Berkeley's discrete mathematics course: logic and proofs, induction, set theory, combinatorics, recurrences, number theory, graph theory, and discrete probability. It serves math majors and students outside EECS who need discrete math. CS 70 covers overlapping ground for the CS-major path, and most programs accept one or the other.