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# MAT 230 - Elementary Calculus (For Business and Social Sciences)

3 credit hours - Three hours weekly; one term.
This course meets the Mathematics General Education Requirement.

Study the basic concepts of calculus with applications to business and social sciences. Learn about limits, continuity, differentiation and integration of polynomial, rational, exponential and logarithmic functions. Apply calculus to problems involving maxima and minima, curve sketching, and the least-squares technique. The course includes an introduction to functions in several variables and partial derivatives.

Prerequisite(s): MAT 121, MAT 141  (formerly MAT 131), MAT 151  or equivalent.

Note: Credit is not given for both MAT 230 and MAT 122 or MAT 230 and MAT 191 .

Course Outcomes
Upon successful completion of this course, students will be able to:

• Finds limits of functions algebraically, numerically, and/or graphically and interprets these limits
• Interprets from a graph whether a limit exists and gives its value
• Approximates a limit from a table of values
• Computes limits using limit laws and properties of continuity
• Uses limits to describe asymptotic behavior
• Performs differentiation on functions algebraically, numerically and graphically
• Uses the definition of the derivative to determine the derivative of a function
• Applies rules of differentiation to determine derivatives of functions expressed algebraically
• Approximates a derivative from a table of values
• Approximates a derivative from the graph of a function
• Determines the derivative of an implicit function
• Analyzes graphs and behaviors of functions with regard to rate of change and concavity
• Uses the derivative to determine intervals of increasing and decreasing behavior for a given function
• Determines the extreme values of a function
• Uses the second derivative to determine intervals of concavity and points of inflection
• Uses technology to investigate the behaviors of graphs of functions and communicates results
• Solves problems from business and the social sciences that involve rates of change
• Interprets the derivative as an instantaneous rate of change
• Uses the derivative to identify important values and for making business and economic decisions
• Finds indefinite integrals
• Finds the general antiderivative of a function using algebraic rules and the method of substiution
• Finds a specific antiderivative of a function given an initial condition
• Approximates an antiderivative from the graph of a function
• Evaluates definite integrals
• Evaluates a definite integral exactly using the Fundamental Theorem of Calculus
• Approximates a definite integral using a numerical integration program
• Uses the definate integral to solve business and economic applications
Core Competencies
Core 1 Communication Core 2 Technology Fluency Core 7 Quantitative Reasoning Core 10 Innovative and Critical Thinking