Function Transformation
Movement and shape changes vital for animation and design.
Circle Arcs and Sectors
Perfect shapes forming the basis of wheel mechanics and architectural design.
Combinatorics
Slot rules, permutations, and combinations for counting arrangements without listing them one by one.
Analytic Geometry
Combining geometry with algebra to understand relationships between lines and curves.
Limits
Fundamental calculus concept analyzing function behavior as it approaches a value.
Derivative Functions
Measuring rates of change essential in physics and optimization.
Concept of Derivative Function
Writing the Derivative Function
Properties of Derivative Function
Derivative of Algebraic Function
Derivative of Trigonometric Function
Chain Rule in Derivative
Equation of a Tangent Line to a Curve
Increasing, Decreasing, and Stationary Functions
Extreme Points, Maximum and Minimum Turning Points
Application of Derivatives
Integrals
Process of calculating area and accumulating data from continuous functions.
Data Analysis and Probability
Statistical methods for processing information and predicting events under uncertainty.