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Derivatives, slope, velocity, rate of change
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Calculus Lectures
Derivatives, slope, velocity, rate of change
Limits, continuity Trigonometric limits
Derivatives of products, quotients, sine, cosine
Chain rule Higher derivatives
Implicit differentiation, inverses
Exponential and log Logarithmic differentiation hyperbolic functions
Hyperbolic functions (cont.) and exam 1 review
Linear and quadratic approximations
Approximations (cont.) curve sketching
Max-min problems
Related rates
Newtons method and other applications
Mean value theorem Inequalities
Differentials, antiderivatives
Differential equations, separation of variables
Definite integrals
First fundamental theorem of calculus
Second fundamental theorem
Applications to logarithms and geometry
Volumes by disks and shells
Work, average value, probability
Numerical integration
Exam 3 review
Trigonometric integrals and substitution
Integration by inverse substitution
Partial fractions
Integration by parts, reduction formulae
Parametric equations, arclength, surface area
Polar coordinates area in polar coordinates
Exam 4 review
Indeterminate forms - L Hospitals rule
Improper integrals
Infinite series and convergence tests
Taylors series
Final review
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