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)

View Schedule of Classes