MATH 2410 - Analytic Geometry and Calculus I

7.5 Credits

Topics include limits, continuity, differentiation, rate of change and integration. The course covers both differentiation and integration on polynomial, rational, radical, trigonometric, exponential and logarithmic functions. It also includes applications of both differentiation and integration.

Note: The prerequisites include grades of C or better in MATH 1425 and MATH 1430 for MATH 2410. The two courses can be taken in either order prior to enrolling in Calculus I; however, it is recommended that students enroll in MATH 1425 prior to enrolling in MATH 1430.

Prerequisites: Math 1425 AND MATH 1430 with a C or better or MCC placement test within 2 years or placement via ACT within 3 years.

Lecture Hours: 7.5
Lab Hours: 0.0
Internship Hours: 0.0
Clinical or Practicum Hours: 0.0

Course Objectives

Find limits at a point, limits at infinity, and infinite limits using analytical, numerical, and graphical methods.
Determine a function’s continuity and/ or differentiability.
Find a derivative using the limit definition and differentiation rules.
Use differentiation to solve application problems involving tangent lines, related rates, optimization, Newton’s method, propagated error, and motion.
Use First and Second Derivative Tests to analyze the behavior of a function.
Evaluate a definite integral using Riemann Sums, The Fundamental Theorem of Calculus, and change of variables.
Find indefinite and definite integrals using integration rules and substitution.
Solve application problems using integration.
Differentiate and integrate logarithmic and exponential functions.
Memorize the following differentiation and Integration formulas

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