COTC Math 200 - calculus i

COTC MATH200 – Calculus I – 1 credit (5 college credits)

· Full year – Grades 9, 10, 11, 12 - Must complete required College Credit Plus Paperwork and be accepted to COTC 5.0 GPA grading scale. Prerequisite: C grade (2.00) or better in MATH-150 or appropriate placement per COTC Assessment and Placement policy. Course is graded A-F.

Concepts of limits of functions are covered including continuity of functions. The definition of the derivative as well as rules for differentiation develop the ability to find the derivatives of functions, including polynomial, rational, algebraic, trigonometric, inverse trigonometric, exponential, logarithmic, hyperbolic and inverse hyperbolic functions. Derivatives are used in curve sketching as well as in solving applied problems. The Mean Value Theorem and Newton's Method for optimization are covered. Definite and indefinite integrals, the Fundamental Theorem of Calculus, the substitution method and area between curves are discussed. MATH-200 replaces MTH-1233 Calculus I and MTH-1234 Calculus II in the Quarter system. When completed with MATH-210, MATH-200 meets the Ohio Transfer Module standards for course TMM017; MATH-200 also meets the Ohio Transfer Assurance Guide standards for course TMM005.