MAT 2270 Calculus & Analytic Geometry I

Cartesian coordinate system, functions, limits and continuity of functions, the derivative and its applications, the integral and the Fundamental Theorem of Calculus. Derivatives and integrals involving piecewise, polynomial, rational, algebraic, exponential, logarithmic, trigonometric, inverse trigonometric and hyperbolic functions and their inverses.

Division: Science, Mathematics and Engineering
Department: Mathematics
Repeatable Credit: No
Offered Online: No

Prereqs: MAT 1570 OR MAT 1580 

Outcomes

  • Solve area, related rates, motion and optimization problems using derivatives and integrals.
  • Demonstrate the ability to determine the derivative of a function and evaluate definite integrals.
  • Demonstrate the ability to apply definitions and theorems to evaluate the limit of a function and to determine the continuity of a function at a point or on an interval.
  • Demonstrate the ability to sketch the graph of algebraic and trigonometric functions using calculus.

Credit Hours: 5

Classroom Hours: 5