How to use this page
Choose the section group you are studying. Each page will eventually include visuals and videos designed to help you see the story behind the symbols.
The goal is not just to compute. The goal is to ask what is changing, what is fixed, what the picture says, and where the calculus enters.
Math 124 Section Groups
These pages are skeletons for now. Each will become a collection of visuals, interactives, videos, and guiding questions.
Sections 2.1–2.3
Limits and ContinuityThe visual beginning of calculus: approaching values, estimating behavior, and understanding continuity before formulas take over.
Sections 2.4–2.8
Definition of the DerivativeSecant slopes, tangent slopes, instantaneous rate of change, and the limit process that turns average change into a derivative.
Sections 3.1–3.3
Derivative RulesPower, product, quotient, and basic derivative rules as tools for describing change more efficiently.
Sections 3.4–3.6
Chain Rule and Implicit DifferentiationComposed functions, hidden relationships, implicit curves, and the derivative rules that help us follow connected quantities.
Sections 10.1–10.2
Parametric Curves and DerivativesMotion, parameterized curves, and derivatives when both coordinates are changing through a hidden variable.
Sections 3.9–3.10
Related Rates and Linear ApproximationClassic changing-quantity problems, local linearity, approximation, and the art of translating a story into relationships.
Sections 4.1–4.4
Max/Min and L’Hôpital’s RuleCritical points, increasing/decreasing behavior, extrema, indeterminate forms, and what derivatives reveal about shape.
Sections 4.5–4.7
Optimization and Curve SketchingApplied optimization, first and second derivative information, curve sketching, and using calculus to understand best choices.