ACC MATH 2413 Objectives

MATH 2413 Calculus I - Objectives

Find limits of functions (graphically, numerically and algebraically)
Analyze and apply the notions of continuity and differentiability to algebraic and transcendental functions.
Determine derivatives by a variety of techniques including explicit differentiation, implicit differentiation, and logarithmic differentiation. Use these derivative to study the characteristics of curves. Determine derivatives using implicit differentiation and use to study characteristics of a curve.
Construct detailed graphs of nontrivial functions using derivatives and limits.
Use basic techniques of integration to find particular or general antiderivatives.
Demonstrate the connection between area and the definite integral..
Apply the Fundamental theorem of calculus to evaluate definite integrals.
Use differentiation and integration to solve real world problems such as rate of change, optimization, and area problems.