UC Berkeley · MATH 51

Calculus I

微积分 I

Differential and integral calculus of one variable for STEM majors, including functions, limits, derivatives, integration, and applications.

Subject：Calculus

Level：Introductory

Suggested stage：Year 2 (inferred)

Public-material edition：Official course page (year not stated)

Language：English

Videos：Not verified

Assignments / solutions：Not verified / Not verified

Prerequisites

High school trigonometry and analytic geometry

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All official course content

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24 direct tasks

▶Lectures, video & readingCourse content in the official sequence12

Topic 1: Functions and Models Topic 2: Limits Topic 3: Continuity Topic 4: Derivatives Topic 5: Differentiation Rules Topic 6: Implicit Differentiation Topic 7: Related Rates Topic 8: Linear Approximation Topic 9: Optimization Topic 10: Curve Sketching Topic 11: Definite Integrals Topic 12: Fundamental Theorem of Calculus

✓Assignments & practiceOpen the matching problem or assignment page12

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Official CS major lower-division requirementUC Berkeley Undergraduate Catalog ↗

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Every link points to an official university or course-team page. The year identifies the linked public-material edition, not necessarily the latest on-campus offering; a school may have newer materials that are not public. Unknown facts remain unverified rather than guessed.

UC Berkeley Undergraduate Catalog · verified 2026-08-04

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