MATH 1A (MATH1A)

Overview of most important concepts from Math 1A to prepare you for Math 1B!

finding volume using integrals, cross sections, Cavalieri's Principle, volumes by cylindrical shells (not fully complete)

average of a function, areas between curves

rules of indefinite integrals, net change theorem, substitution rule, integrals of even and odd functions

properties of definite integrals, Riemann sums, fundamental theorem of calculus, indefinite integrals, net change theorem

antiderivatives, areas and distances, area under a continuous function

optimization problems, finding absolute extrema on open and half-open intervals, Newton's method, bisection method, Newton iteration

indeterminate forms, l'Hospital's rule, indeterminate products/differences/powers, curve sketching