Introduction – Four ways to represent a function – Mathematical Models – New Functions from Old – graph shifts, composite functions – Mathematical Models – polynomials, asymptotes, intercepts, power, log, transcendental – Lines, Circles – Conic Sections – Exponential Functions – hyperbolic – Inverse Functions and Logs – Parametric Curves (plotting, eliminating t, cycloid) – Tangent and Velocity problems (Secant and Tangent slopes) – The limit of a function – Squeeze Theorem – Continuity – Limits Involving Infinity – Derivatives – Derivatives of Trigonometric Functions – Chain Rule – Implicit Differentiation – Orthogonal Trajectories – Derivatives of Logarithmic Functions – Linear Approximation and Derivatives – Maximum and Minimum Values – Derivative and the Shapes of Curves – Newton’s Method – Antiderivatives – Areas and Distance – Definite Integral – Evaluating Definite Integrals – The substitution Rule – Partial Fractions when Numerator is greater than Denominator – Trigonometric Integrals –

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