Calculus I: Limits, Continuity, and Derivatives
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Build rock‑solid intuition for limits, continuity, and rates of change.
10 content steps
4 quizzes
~210 minutes
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Journey Overview
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Journey Steps
Preview
1
Content Step 1
Content
What is a limit? Graphical and numerical views
2
Content Step 2
Content
Limit laws and common patterns
3
Content Step 3
Content
Continuity and types of discontinuities
4
Quiz 4
Quiz
Checkpoint Quiz
5
Content Step 5
Content
Definition of the derivative (slope as a limit)
6
Content Step 6
Content
Basic derivative rules and power rule
7
Content Step 7
Content
Product, quotient, and chain rules
8
Quiz 8
Quiz
Checkpoint Quiz
9
Content Step 9
Content
Derivatives of trig, exponential, and log functions
10
Content Step 10
Content
Implicit differentiation and related rates
11
Content Step 11
Content
Linear approximation and differentials
12
Quiz 12
Quiz
Checkpoint Quiz
13
Content Step 13
Content
Applications: optimization and motion
14
Quiz 14
Quiz
Checkpoint Quiz
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