| FOUND |
Foundation Concepts |
Prerequisites from precalculus: functions, trigonometry, coordinate systems |
| LIMIT |
Limits |
Limit concepts, notation, evaluation techniques, and theorems |
| CONT |
Continuity |
Continuity definitions, types of discontinuities, and continuity theorems |
| ASYM |
Asymptotes |
Vertical/horizontal asymptotes, limits at infinity, end behavior |
| DERIV |
Derivative Basics |
Derivative definition, notation, differentiability concepts |
| DRULE |
Derivative Rules |
Power, product, quotient rules and derivatives of elementary functions |
| CHAIN |
Chain Rule |
Chain rule and composition derivative techniques |
| IMPL |
Implicit & Inverse |
Implicit differentiation, inverse functions, logarithmic differentiation |
| HIGH |
Higher Derivatives |
Second and higher-order derivatives, motion applications |
| APPL |
Applications |
Related rates, linear approximation, L'Hospital's Rule |
| ANAL |
Analysis |
MVT, EVT, critical points, first/second derivative tests |
| CURV |
Curve Sketching |
Complete curve analysis using derivative information |
| OPT |
Optimization |
Setting up and solving optimization problems |
| INTEG |
Integration Basics |
Antiderivatives, indefinite integrals, basic integration rules |
| RIEM |
Riemann Sums |
Riemann sums, summation notation, definite integral definition |
| FTC |
Fundamental Theorem |
FTC parts 1 and 2, accumulation functions, integral properties |
| TECH |
Integration Techniques |
u-substitution, long division, completing the square |