In rare and unusual circumstances, a course prerequisite can be overridden with the permission of the Department Lead for the discipline.
This course may include proctored exams which must be completed on campus or at an instructor approved proctoring center which may require additional costs to the student. Please consult your instructor for additional details.
Transfer (UT) or NonTransfer Course (UN): UT

differentiate and integrate simple algebraic and trigonometric functions as a review of Calculus I topics.

use the laws of logarithms to simplify certain expressions, solve for x in logarithmic equations, and graph logarithmic functions (optional).

take the derivative of variations of logarithmic functions.

perform integrations of functions which have logarithmic solutions. Integrals will be both definite and indefinite.

define and explore the idea of inverse functions (optional).

learn the relationship between exponential and logarithmic functions, graph exponential functions, and solve for x in exponential equations (optional).

differentiate and integrate variations of exponential functions.

graph, differentiate, and integrate exponential functions with bases other than e (optional).

define, graph, and solve problems involving the inverse trigonometric functions (optional).

differentiate and integrate problems involving inverse trigonometric functions.

define, graph, and solve problems involving hyperbolic functions (optional).

differentiate and integrate variations of hyperbolic functions (optional).

find the area between two curves by integration.

find volumes of solids by the disc, washer, and shell methods.

find volumes of solids with known cross sections (optional).

find arclength of curves and area of surfaces of revolution by integration.

calculate physical work (optional).

find moments and centers of mass (centroids) of discrete systems and of plane regions.

find pressure exerted by fluids on flat surfaces (optional).

review integration procedures that the students have learned up to this point.

perform the following additional methods of integration: integration by parts, trigonometric integrals, trigonometric substitution, partial fractions, and tables.

recognize indeterminate forms, determine when L’Hopital’s Rule applies and, if it does not, use algebraic methods to change indeterminate forms to other forms where the Rule does apply.

evaluate limits which are indeterminate in form by L’Hopital’s Rule.

evaluate improper integrals.

solve problems involving sequences and determine whether a sequence converges or diverges.

identify series and determine whether a series (including geometric and telescoping) converges or diverges.

use the nth term test to determine convergence.

use the integral test to determine whether a series converges or diverges.

identify pseries and determine their convergence.

use the direct comparison and limit comparison tests to determine whether a series converges or diverges (direct comparison optional).

determine the absolute or conditional convergence of an alternating series.

use the ratio and root tests to determine the convergence of series (root test optional).

approximate functions by Taylor and Maclaurin polynomials and use Taylor’s Theorem to determine the accuracy of the approximation.

investigate power series and determine their interval of convergence.

represent functions by power series (optional).

find the Taylor and/or Maclaurin series for a function and use the results to integrate a series.

determine the error involved in approximating expressions by power series (optional).