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Nov 24, 2024
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MATH 2204 - Applied Calculus 4 Credits
Applied Calculus includes the study of functions of one variable, curves in planar geometry, and characteristics of these functions and curves using techniques from calculus. Also, the behaviors of limits, continuity, derivatives, integrals of function, and vector analysis in three-dimensional space emphasizing real world applications will be covered.
Prerequisite: Appropriate placement score , Math ACT score of 26 or higher, or successful completion of MATH 1123 College Algebra* , MATH 1133 Trigonometry* , or MATH 1223 Pre-Calculus* /LAD 9182 Pre-Calculus Review 2 with a grade of “C” or higher.
Course Level Objectives
Upon successful completion of this course, the student will be able to:
1. Compute limits (GEO 3)
2. Determine intervals of continuity. (GEO 3)
3. Find the derivative of powers, products, quotients, composite functions, trigonometric functions, implicitly defined functions, inverse functions, exponential functions and logarithmic functions. (GEO 3)
4. Analyze the characteristics of the graph of a function, including absolute extrema, relative extrema, concavity, inflection points, and asymptotes by using curve sketching techniques. (GEO 2, 3)
5. Apply the principles of differentiation to the solution of problems related to natural and social sciences, including but not limited to rate of change, tangents to curves, motion, optimization, and exponential growth/decay. (GEO 2)
6. Compute the definite integral and find the indefinite integral of a function including but not limited to substitution. (GEO 3)
7. Compute the area between two curves. (GEO 3)
8. Utilize basic vector operations such as the dot product and cross product in applications up to three-dimensional spatial reasoning. (GEO 3)
9. Use technology to collaborate, solve problems, represent data, and present solutions. (GEO 1,4)
Latest Update Effective: Fall 2021
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