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Functions of One Independent Variable/Range/
Domain/Even/
Odd
Transformations/
Combinations of Functions/Log, Exponential,
Inverse
Functions
Limit of a Function, Limit Laws, Squeeze Law
Conditions for Continuity of a Function, Continuous Functions
Derivatives/Limits/Rules/Plots
Derivatives – Using the Chain Rule (Very Important)
Maxima and Minima of Functions on a Closed Domain
Derivatives/Trig,
Hyperbolic,
Exponential, Log Functions + Logarithmic Differentiation
Derivatives of Inverse Trig Functions
Inverse Functions and Implicit Differentiation
Vertical, Horizontal, and Slant Asymptotes
Basics of Curve Sketching – Slope, Concavity, Inflection Points
Important Theorems of Calculus
Indeterminate Forms - Types, Procedure to Evaluate Them
Approximation of Integrals/The Riemann Sum
Introduction to Evaluation of Integrals
Properties of Integrals
Fundamental Theorems of Calculus
Growth and
Decay Applications
Related Rate and Optimization Applications
Integration using Substitution/
Calculation of Arc Lengths
Area Calculations/
Surface Area of Revolution
Volume of Revolution using Disks and Shells
Linear Approximation of a Function
Newton's Method
Numerical Integration/
Five Cases
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