Interactive course with embeddable pages for Canvas. Dynamic visualizations, math with KaTeX, and quizzes with immediate feedback.
Each module includes interactive content pages and a quiz.
Pre-calculus foundations: domain, range, function evaluation, and interpreting graphs.
Geometric intuition of limits, formal ε-δ definition, calculation techniques and continuity of functions.
Geometric concept of the derivative, limit definition, tangent line slope and Leibniz notation.
Power rule, product rule, quotient rule and chain rule. Derivatives of trigonometric, exponential and logarithmic functions.
Inverse trigonometric functions, implicit differentiation, and parametric equations.
Maxima and minima, first and second derivative tests, optimization, rates of change and mean value theorem.