MATH 182 - Calculus II

CE-R

A continuation of MATH 181. Further differentiation and integration of transcendental functions. Methods of integration with applications, indeterminate forms, improper integrals, Taylor’s formula; infinite series; polar coordinates. PREREQUISITE(S): A grade of C or better in MATH 181 or equivalent, or consent of department. For computation of tuition, this course is equivalent to five semester hours. Five hours each week.

4 semester hours

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

Evaluate integrals by using the appropriate techniques.
Approximate definite integrals by using appropriate numerical techniques.
Find limits involving indeterminate forms.
Evaluate improper integrals.
Set up, evaluate, and interpret integrals that represent arc length, area, volume, and average value.
Set up, evaluate, and interpret integrals that model applications in physics.
Solve selected differential equations using graphical, numerical, and analytic methods.
Model applications such as population growth with differential equations.
Determine the convergence or divergence of sequences and series.
Represent functions with power series and approximate functions with Taylor polynomials.
Graph polar equations.
Use integration to find the area of a polar region.
Use technology as an appropriate tool.

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