Unit: Functions involves Parameters, Vectors & Matrices Chapter: Graphing Conic sections & Parametric Functions Reference: – Circle, Ellipse, Parabola, Hyperbola, Parametric equation, Parametric curve, Parametric function, Concavity, Integrating functions, Symmetry, Algebra Techniques, Cartesian Coordinates, Vector Valued function, Application & Property After studying this chapter, you should be able to: Introduction to Parametric Equations & Conic […]
Unit: Functions involves Parameters, Vectors & Matrices Chapter: Modeling Change with Parametric Functions Reference: – Parametric equations, Parametric curves, Tangent lines, Normal lines, Arc length, Curvature, Acceleration, Tangent Vectors, Normal Vectors, Binormal vectors, Unit Tangent, Planar curves, Polar coordinates, Applications & Properties After studying this chapter, you should be able to: Introduction to Parametric & […]
Unit: Trigonometric & Polar Functions Chapter: Linking Angles, Radii, and Polar Graphs Reference: – Introduction, Calculus with polar functions, Polar graphing technology, Graphing Techniques, Polar functions, Symmetry, Plotting Points & Axes, Polar & Cartesian Coordinates, Conversion between polar & Cartesian Coordinates, Angle & Radius uses in AP Calculus. After studying this chapter, you should be […]
Unit: Trigonometric & Polar Functions Chapter: Visualizing in Polar Coordinates Reference: – Polar Functions, Increasing & Decreasing functions, Curve sketching, Analysis of a function, Optimization problems, First & Second Graphical Functions, Related rates, Local extrema, Applications & Properties After studying this chapter, you should be able to: Introduction to Graphical Functions in Polar coordinates. Its […]
Unit: Trigonometric & Polar Functions Chapter: Solving with Waves: Sinusoidal Models & Equations Reference: – Introduction, Periodic functions, Amplitude & Midline, Graph of Sinusoidal functions, Trigonometric Equations, Phase shift, Frequency & Angular Velocity, Trigonometric functions of Angles, Inverse Trigonometric equations, Modelling, Polar Functions. Identities, Graphical Functions After studying this chapter, you should be able to: […]
Unit: Trigonometric & Polar Functions Chapter: Core Trigonometric Functions: Sine, Cosine & Tangent Reference: – Definition of Core Trigonometric Functions, Graphical Representation of Sine, Cosine & Tangent, Domain and Range, Periodicity & Symmetry, Amplitude, Frequency, and Phase Shift, Special Angles and Exact Values, Pythagorean Identities, Reciprocal Relationships, Applications of Core Functions, Connection to Polar Representation […]
Unit: Exponential & Logarithmic Functions Chapter: Exploring Logarithms and Validating Models Reference: – Logarithmic functions, Basic properties, Analysing functions, Scattering, Residual plots, Data points, Logarithmic operations, Exponential functions, Graphical Analysis, Logarithmic rules, Intercepts, Transformation, Inequalities, Logarithmic differentiation After studying this chapter, you should be able to: Introduction to Logarithmic functions & Their Properties Residual plot, […]
Unit: Exponential & Logarithmic Functions Chapter: Building and Reversing Functions: Composition & Inverses Reference: – Introduction to Function Composition, Domain & Range in Composition, Properties of Composition, Exponential Functions in Composition, Logarithmic Functions in Composition, Inverse of a Function (Definition), Finding Inverses of Exponentials, Finding Inverses of Logarithms, Graphical Symmetry in Inverses, Applications of Composition […]
Unit: Exponential & Logarithmic Functions Chapter: Growth Patterns: Sequences and Exponential Models Reference: – Introduction to Sequences, Explicit and Recursive Formulas, Geometric Sequences in Depth, Exponential Growth Models, Exponential Decay Models, Compound Interest & Continuous Growth, Connection Between Geometric Sequences & Exponential Functions, Graphical Representation of Exponential Functions, Model Fitting with Data, Applications in Real-World […]
Unit: Polynomials & Rational Functions Chapter: Modeling, Transformation, and Representation of Functions Reference: – Function Transformations – Basics, Composite Transformations, Equivalent Representations of Polynomial & Rational Expressions, Piecewise and Absolute Value Transformations, Model Selection in Real-World Scenarios, Assumption Articulation in Modeling, Function Construction from Conditions, Inverse Functions and Their Representations, Graphical vs Algebraic Models, Applications […]