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Calculus 1

Limits, derivatives, and the foundations of differential calculus.

Calculus 1 course visual

Level

beginner

Length

about 4 hours of preview material

Topics

5

Prerequisites

Algebra II, Trigonometry basics

Early public version Last reviewed 2026-07-08

Early public version. The full course is in development; this is the preview module.

About this course

Calculus 1 covers functions and graphs, limits and continuity, derivatives and their applications, and the basic rules of differentiation. Includes interactive widgets for function analysis, secant-tangent visualization, and derivative exploration.

What you'll learn

  • Read and sketch common functions
  • Evaluate limits graphically and algebraically
  • Compute derivatives using the definition and standard rules
  • Apply derivatives to rates of change and tangent-line problems
  • Use derivatives to find maxima and minima

Course structure

U01 Functions and graphs 1 topic
U02 Limits and continuity 4 topics
U03 Derivatives 7 topics
U04 Applications of derivatives 4 topics
U05 Integration preview 3 topics

How the course works

When you open the course, your browser loads a course player that runs the lessons locally. Each topic is a self-paced lesson: scripted slides, interactive widgets, and short exercises. The player remembers where you stopped, so you can pause and come back without losing your place.

Course content source:

webdeck_multi_youtube/courses/AU/ARIAN_Calculus_1/