MATH 181 Calculus I or higher core course
Students will develop skills in the initial content of both differential and integral calculus, including finding limits of functions; exposure to the epsilon-delta process and continuity; finding derivatives of polynomial, rational, radical, trigonometric, inverse trigonometric, exponential, and logarithmic functions, and inverse functions; the chain rule; and integration by substitution. Applications dealing with optimization, related rates, Newton's method, L'Hopital's rule, motion problems, and the properties of the graphs of functions are covered. Theorems include the mean-value theorem for derivatives and integrals, the squeeze theorem, and the fundamental theorems of calculus. Implicit differentiation, differentials and summations of area will be used when appropriate. The use of a computer algebra system will be an integral part of the course. Credit will only be granted for one of the following: MATH-140,
MATH-145, or
MATH-181.
Prerequisite
MATH-153
or
MATH-155
or
appropriate
score
on
the
mathematics
placement
test. A
grade
of
C
or
higher
in
the
Precalculus
sequence
is
strongly
recommended.
Notes