1Available
Mathematical Language and Algebraic Foundations
Builds the set notation and algebraic tools required for functions, limits, and derivatives.
3 lessonsCourse chapters
2Available
The Core Framework of Functions
Establishes functions as the central objects studied throughout calculus.
3 lessons3Available
The Elementary Function Toolkit
Develops the main function families repeatedly used in limits and differentiation.
3 lessons4Available
Limits and Continuity
Develops limits from their intuitive meaning through continuity and the Intermediate Value Theorem.
4 lessons5Available
Foundations and Core Rules of Differentiation
Builds the derivative from rates of change and first principles before introducing the core rules.
0 lessons6Available
Advanced Differentiation Techniques
Extends the derivative toolkit to composite, implicit, and inverse functions.
0 lessons7Available
Higher and Transcendental Derivatives
Introduces higher derivatives and differentiation involving exponential, logarithmic, and hyperbolic functions.
0 lessons8Available
L'Hôpital's Rule and Linear Approximation
Evaluates indeterminate limits with L'Hôpital's Rule and introduces local linear approximation.
0 lessons9Available
Probability
Introduces the counting ideas used in elementary probability, including inclusion-exclusion, permutations, combinations, and stars and bars.
0 lessons10Available
Distribution
Introduces probability distributions, binomial and Poisson count models, the normal distribution, and normal approximation to the binomial distribution.
0 lessons