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Jul 13, 2024
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# MATH 151 - Elementary Applied Calculus II

Continuation of MATH 150 . Differential and integral calculus for business and non-engineering students. Trigonometric functions, techniques of integration, differential equations, numerical methods, probability, and applications. Not open to students who have a grade of C or better in MATH 182 , MATH 282 , MATH 284 , or their equivalents. PREREQUISITE(S): A grade of C or better in MATH 150  or equivalent, or consent of department. Three hours each week. Formerly MA 161.

3 semester hours

Course Outcomes:
Upon course completion, a student will be able to:

• Find partial derivatives of functions of several variables. (Functions of Several Variables)
• Use the first derivative to find potential extreme points for a function of two variables and use the second derivative test to classify these extreme points, when possible. (Functions of Several Variables)
• Use Lagrange multipliers to maximize or minimize a function of two variables subject to a given constraint and apply this technique to applications involving two variables. (Functions of Several Variables)
• Solve applied problems involving the sine, cosine, and/or tangent function. (Trigonometric Functions)
• Determine derivatives and integrals involving the sine, cosine, and/or tangent function. (Trigonometric Functions)
• Evaluate indefinite and definite integrals using basic integration formulas, integration by substitution, and/or integration by parts. (Integration)
• Use approximation methods to estimate the value of a definite integral. (Integration)
• Determine whether an improper integral is convergent or divergent and evaluate those that converge. (Integration)
• Construct and evaluate an appropriate definite integral to determine the present value of a continuous income stream. (Integration)
• Solve differential equations using separation of variables. (Differential Equations)
• Determine an nth degree Taylor polynomial for a given function. (Taylor Polynomials and Infinite Series)
• Determine whether a geometric series is convergent or divergent, and find the sum if it is convergent. (Taylor Polynomials and Infinite Series)
• Use convergent geometric series to solve applied problems. (Taylor Polynomials and Infinite Series)
• Use the integral or comparison test to determine if a series of positive terms is convergent or divergent. (Taylor Polynomials and Infinite Series)
• Find the Taylor Series expansion for a given function and use suitable operations (differentiation, substitution, etc.) to derive a Taylor Series for a related function. (Taylor Polynomials and Infinite Series)

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