MATH 222 - Calculus and Analytic Geometry II

4 Credits: (4 lecture)

Course Description
This course is a continuation of Calculus and Analytic Geometry I. Topics include techniques of integration, applications of integration, sequence and series, polar and parametric equations, and analytical geometry. Applications of the derivative and definite integral to the physical sciences, social sciences, and engineering are also studied.

Prerequisite MATH 221.

Anton, H., Bivens, I., & Davis, S. (2022).  Calculus, early transcendentals (12^th ed.).  Hoboken, NJ: Wiley.

OR

Strang, G., Herman., E., Radulovich, W., Rutter, E., Smith, D., Messer, K., … McCune, D.  (2023 July 17). Calculus Volume 2. OpenStax. https://openstax.org/details/books/calculus-volume-2

Objectives
The student will be able to:

A. Determine the derivative of transcendental functions.

B. Evaluate integrals involving the logarithmic, exponential, trigonometric, and hyperbolic functions.

C. Utilize the derivative and the integral of logarithmic and exponential functions to solve applications.

D. Utilize techniques of integration including integration by parts, partial fractions, trigonometric substitution, and integral tables.

E. Use L’Hopital’s Rule to evaluate certain limits.

F. Utilize concepts of sequences and series.

G. Use parametric equations and polar coordinates.

Content
A. Differentiation and integration of transcendental functions.

B. Growth and Decay.

C. Integration techniques.

D. L’Hopital’s Rule.

E. Sequence and Series.

F. Polar and Parametric Equations.

Student Evaluation
The objectives will be evaluated as follows:  A, B, C, D, E, F, and G will be evaluated using examinations.