Unit 3: Calculus

Explore the fundamental concepts of change and accumulation through interactive visualizations and applied problems.

Unit Overview

18 Lessons

Hours of guided content

5h 00m

Estimated time commitment

10% Complete

Core Lessons

Lesson 13A: Limits

Understanding limits through graphical interpretations and numerical approaches.

Difficulty: Intermediate 25m
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Interactive Calculus Tools

Derivative Visualizer

Explore how the slope of a tangent line changes at every point on a function.

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Practice Problems

Problem Set: Derivatives

Find d/dx (3x² + 4x - 1)

Estimate the derivative of f(x)=sin(x) at x=π/2

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Problem Set: Integrals

Evaluate ∫01 x² dx

Find the area under f(x)=ex from 1 to 2

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Your Calculus Journey

Limits

Understanding function behavior as inputs approach specific values

Derivatives

Calculating instantaneous rates of change and slopes of curves

Integrals

Accumulating quantities and finding areas under curves

Applications

Using calculus in real-world engineering and physics problems

Total Unit Completion:

10%