MATH 1A (MATH1A)

continuity, definition of a continuous function, theorems of continuous functions, intermediate value theorem, bisection method to approximate the root

precise definition of a limit, delta, epsilon, infinite limits

limit laws, direct substitution property, limit theorems, one-sided limits, squeeze theorem

inverse functions, inverse logarithms, tangent problems, velocity problems, one-to-one functions, domain of inverse functions, range of inverse functions, logarithms, decay, inverse trigonometric functions, slope of a tangent line, slope of a secant line, average velocity, instantaneous velocity, limit of a function, one-sided limits, infinite limits, vertical asymptote

new functions from old functions, exponential functions, translating graphs, stretching graphs, squeezing graphs, reflecting graphs, combination of functions, composition of functions, composition of 3 or more functions, Euler's number, natural exponential function

mathematical models, essential functions, linear models, polynomials, power functions, rational functions, algebraic functions, trigonometric functions

Different ways to represent functions, tables, arrow diagrams, formulas, graphs, piecewise functions, increasing functions, decreasing functions, even functions, odd functions

Cumulative review of all the important formulas and concepts needed for the final exam.