#01 |
Limits / Limit Defini6on / Continuity Average vs Instantaneous Rate of Change |
One-Variable Data / Categorical Variables |
Rates of Change |
#02 |
Power/Product/Quo6ent/Chain Rule |
Distribution |
Polynomial and Rational Functions I |
#03 |
Trigonometric / Exponential Derivatives Implicit / Inverse Differentiation |
Summary Statistics |
Polynomial and Rational Functions II |
#04 |
Applications of Differentiation I: Optimization |
Normal Distribution |
Modelling |
#05 |
Applications of Differentiation II: Related Rates |
Two-Variable Data |
Arithmetic Sequences |
#06 |
Applications of Differentiation III: MVT / EVT / IVT Relative and Absolute Extrema Concavity |
Least Squares Regression |
Geometric Sequences |
#07 |
Integrals: Power, Exponential, Trigonometric U-Substitution |
Residuals / Outliers |
Inverse Functions / Composition of Functions |
#08 |
Integration by Parts / Partial Frac6ons (BC) |
Collecting Data / Bias / Sampling Methods |
Logarithmic Expressions |
#09 |
Riemann Sums / Summation Notation / Fundamental Theorem of Calculus / Average Value |
Experiments vs Observational Studies |
Exponential and Logarithmic Functions |
#10 |
Areas / Volumes Arc Length (BC) |
Binomial Distribution |
Exponential and Logarithmic Functions Modelling |
#11 |
Differential Equations: Slope Fields / Particular Solutions / Exponential Models |
Geometric Distribution |
Sine / Cosine / Tangent |
#12 |
Euler’s Method (BC) / Logistic Models (BC) |
Sampling Distributions / Central Limit Theorem |
Trigonometric Equations and Inequalities |
#13 |
Parametric Equations and Deriva6ves (BC) |
Simulations |
Secant / Cosecant / Cotangent |
#14 |
Polar Coordinates / Areas (BC) |
Proportions & Confidence Interval I |
Polar Coordinates |
#15 |
Series and Tests for Convergence / Divergence I / Improper Integrals (BC) |
Proportions & Confidence Interval II |
Parametric Functions I |
#16 |
Tests for Convergence / Divergence II / Absolute vs Conditional Convergence |
t-Distribution / Significance Test for a Mean |
Parametric Functions II / Conic Sections |
#17 |
Taylor Polynomials / Series |
Paired Data / Type I & II Errors |
Vectors |
#18 |
Interval and Radius of Convergence / Error Bounds |
Chi-Square Test |
Matrices |
#19 |
Series FRQ |
Confidence Interval and Hypothesis Test for Slope |
Inverse Matrix / Matrix Transformations |
#20 |
Full Mock Review |
Full Mock Review |
Matrices as Functions / Modelling |