# QUESTION BANK

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Subject

### FUNCTIONS AND DIFFERENT TYPES

 1 - Function notation, domain and range 2 - Linear function 3 - Equation of a line 4 - Quadratic Function & Graph 5 - The Modulus function 6 - The graph of Modulus functions 7 - Hyperbolic functions - Graphs
 8 - Graphs of exponential functions 9 - Index Notation & Index Laws 10 - Definition & Laws of Logarithm 11 - Graphs of Logarithmic functions 12 - Trigonometric functions and graphs 13 - The Basic Trigonometric Identities 14 - Reduction & negative angles formulae
 15 - Composite functions, fOg , f(g(x)) 16 - One to one functions & Inverse functions 17 - Even & Odd Functions 18 - Shifting the graph of the functions 19 - Inverse of trigonometric functions 20 - Parametric Equations

### LIMITS AND CONTINUITY

 1 - Limits Laws 2 - Asymptotes - Vertical, Horizontal & Oblique
 3 - Continuity of a Function 4 - Rolle's Theorem

### DERIVATIVE AND APPLICATIONS

 1 - The Derivative of a Function 2 - The Average Rate of Change 3 - The Definition of the Derivative 4 - Rules for Derivatives 5 - Inverse Functions and Their Derivatives 6 - The Second Derivative 7 - The Equation of a Tangent Line
 8 - Differentiability vs. Continuity 9 - Particle Motion 10 - Motion of a Freely Falling Object 11 - Implicit Differentiation 12 - Related Rates 13 - Derivatives of Parametric Equations 14 - The Extreme Value Theorem, Rolle’s Theorem, and the Mean Value Theorem
 15 - Critical Values 16 - Concavity and the Second Derivative 17 - Optimization 18 - Euler’s Approximation Method (BC ONLY) 19 - Logarithmic Differentiation (BC ONLY) 20 - Hopital’s Rule (BC ONLY)

### INTEGRATION AND APPLICATIONS

 1 - Antiderivatives 2 - Area Under a Curve - Riemann Sums 3 - The Fundamental Theorem of Calculus 4 - Integration By Substitution 5 - Average Value of a Function
 6 - Volumes 7 - The Trapezoidal Rule 8 - Arc Length and Area of a Surface of Revolution 9 - Separable Differential Equations 10 - Slope Fields
 11 - Integration by Parts (BC ONLY) 12 - Integration By Partial fractions (BC ONLY) 13 - Improper Integrals (BC ONLY) 14 - The Logistic Growth Model (BC ONLY)

### SERIES

 1 - Sigma Notation & Properties (BC ONLY) 2 - The Maclaurin and Taylor Series (BC ONLY) 3 - Geometric Series (BC ONLY)
 4 - The p-Series (BC ONLY) 5 - Telescoping Series (BC ONLY) 6 - The Harmonic Series (BC ONLY)
 7 - Testing for Convergence of a Series (BC ONLY) 8 - Power Series (BC ONLY)

### POLAR CURVES

 1 - Polar Coordinate System (BC ONLY) 2 - Different Polar Curves (BC ONLY)