MATH211

Identify and make connections among functions represented in a variety of ways: graphical, numerical, analytical, or verbal.

Evaluate limits and solve problems applying the concept of limits.

Differentiate and integrate functions that are sum, difference, product, quotient, and composition of algebraic, exponential and logarithmic functions.

Set up and solve application problems involving the derivative (rate of change) and the integral (net change).

Find the extrema of functions using the First Derivative Test, Second Derivative Test, and Extreme Value Theorem.

Graph functions using the techniques of calculus.

Relate the derivative and the definite integral by way of the Fundamental Theorem of Calculus.

Communicate knowledge of functions, derivatives, and integrals, both orally (e.g. class discussions) and in writing (e.g. written assessments).