Calculus 1

Final Exam Review

Exam 4 Review

Concavity, concave up, concave down, Second Derivative Test for Relative Extrema, inflection points

Constrained optimization, objective functions, constraints, maximization, minimization

Increasing, Decreasing, the First Derivative Test for Relative Extrema

The Method of Substitution, u-sub, even functions, odd functions

The Fundamental Theorems of Calculus, The Mean Value Theorem for Definite Integrals, The First Fundamental Theorem of Calculus, The Second Fundamental Theorem of Calculus

Definite integral, Riemann integral, limits of Riemann sums, piecewise continuous functions, Dirichlet discontinuous function, properties of the definite integral.

Module 3 Exam 3 Review

Riemann sums, Left-Hand Rule, Right-Hand Rule, Midpoint Rule, Monte Carlo Methods, area of undergraph

Antiderivative, Antiderivatives, indefinite integral, indefinite integrals, initial value problem, initial condition, initial data

Tangent line approximation, linearization, differential, differentials, error, relative error, percent error, L'Hospital's Rule, L'Hopital's Rule, growth rates, Newton's Method of successive approximations, iterations

Integration lab

Exam 2 Review

Derivatives of inverse functions: exponential functions, logarithms, trig functions, etc.

Related rates are discussed.

The Product Rule, The Quotient Rule, higher-order derivatives, position, velocity, acceleration, jerk.

The Chain Rule, Implicit Differentiation, Logarithmic Differentiation

The derivative, the Power Rule for derivatives

Review for Calculus 1 Exam 1

epsilon-delta definition of limits

Infinite limits and limits as x tends to infinity.

The continuity of functions is discussed.

Limits, The Squeeze Theorem, The Pinching Theorem, Euler's number

Rolle's Theorem, Mean Value Theorem