A foundational yet rigorous introduction to differential and integral calculus. Master limits, derivatives, and integrals in a way that builds real intuition — not just formulas.
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97% Completion RateCourse completion rate
28–30 DaysAverage course completion
Save $650+vs. average community college cost
Self-Paced · Final Exam · ACE & NCCRS Recommended
What You'll Learn
A full semester of calculus 1 — completed at your own pace, with no deadlines or fixed class times.
Learning Outcomes
What You'll Be Able to Do
✓Evaluate functions using function notation, determine domains and ranges, and construct mathematical models using appropriate families of functions
✓Explain and evaluate limits graphically, numerically, and analytically — including one-sided limits, limits at infinity, and the epsilon–delta definition — and determine continuity and classify discontinuities
✓Interpret the derivative as a rate of change and slope of a tangent line, compute derivatives using the limit definition, and relate differentiability to continuity
✓Apply differentiation rules — power, product, quotient, and chain — to algebraic, exponential, logarithmic, trigonometric, and inverse trigonometric functions, including implicit and logarithmic differentiation
Course Curriculum
Your path through the course
Work through each lesson at your own pace and build your understanding step by step.
✓Use derivatives to locate and classify extrema, analyze concavity, sketch curves, apply the Mean Value Theorem, and solve optimization and related-rates problems
✓Model exponential growth and decay and apply L'Hôpital's Rule to evaluate indeterminate forms
✓Compute antiderivatives, approximate area with Riemann sums, evaluate definite integrals, apply the Fundamental Theorem of Calculus, and use substitution and integration to solve accumulation, net change, motion, and area-between-curves problems