Single Variable Calculus

Comprehensive MIT OpenCourseWare Scholar course covering differentiation, the chain rule, optimization of single-variable functions, and integration.

MIT 18.01SC provides structured video lectures, recitation exercises, and worked problem sets covering limits, differentiation rules, chain rule, maxima/minima optimization, exponential/logarithmic derivatives, and integration fundamentals.

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Suggested Learning Position

Phase 1 Module 1.2 Single-Variable Calculus Reference

Language:English

Access & Link Verification

100% free MIT OpenCourseWare Scholar course with lectures, notes, and problem set solutions.

Status: Verified (2026-11-09)

What You Will Learn from This Resource

Compute analytical derivatives of polynomial, exponential, logarithmic, and composite functions.
Apply the chain rule fluently and find critical points for optimization.
Use linear and quadratic Taylor approximations near operating points.

Recommended Prerequisites

Review these foundations before starting so you get the most out of this material:

High-school algebra and trigonometry.

Topics & Keywords

MIT OCWCalculusDifferentiationOptimization

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Phase-Specific Study Recommendations (1)

Phase 1 · Resource 1.4Additional Learning

Single Variable Calculus

In Phase 1: Mathematics for AI

Focus on Part I (Differentiation) and Part II (Applications of Differentiation & Optimization) if you need rigorous practice with single-variable derivatives before multivariable gradients.

Jump to Phase 1 (Mathematics for AI)