MAC 2234 - Applied Calculus II

Mathematics Department

Credit(s): 3
Contact Hours: 47
Effective Term Fall 2024 (640)

Requisites

Prerequisite MAC 2233 with a minimum grade of C

Course Description

This course is designed to follow MAC 2233 and includes topics from integral calculus, partial differentiation, and double integration. Emphasis is placed on applications in ecology, economics, geometry, physical sciences and business. (Note: Credit is only given for MAC 2234 or MAC 2312.)

Learning Outcomes and Objectives

  1. The student will apply knowledge of the integral by:
    1. finding integrals of functions by the method of integration of parts.
    2. finding integrals of functions involving ex and 1nx.
    3. finding improper integrals.
    4. stating the definition of a differential equation and determine the order of the equation and whether it is linear.
    5. solving applications of differential equations involving separation of variables and integrating factors methods.
    6. using the definite integral to determine the present value of or the amount of an income stream of an investment.
    7. using the definite integral to determine the area between curves and the volumes of solids of revolution.
    8. using improper integrals to solve probability density functions and exponential density functions.
  2. The student will apply knowledge of functions of several variables by:
    1. stating the definition of a function of two variables.
    2. using the distance formula to find the distance between two points in three dimensions.
    3. graphing linear and quadratic functions of two variables.
    4. finding the partial derivative of a function and its second partials.
    5. using the total differential in applications to of ecology, economics and geometry.
    6. finding maxima and minima for functions of two variables.
    7. finding the volume of a solid using the double integral.
    8. approximating the total differential by using the chain rule.
    9. applying Lagrange multipliers in solving maximum and minimum values of functions.
    10. finding the least squares line using a graphing utility.
  3. The student will apply knowledge of double integrals by:
    1. evaluating a double integral.
    2. finding horizontal cross sections and bounded areas using double integrals.
    3. finding the average value of two variable functions using double integrals.

Criteria Performance Standard

Upon successful completion of the course the student will, with a minimum of 70% accuracy, demonstrate mastery of each of the above stated objectives through classroom measures developed by individual course instructors.

History of Changes

Revised 8/84 Reviewed C & I 9/25/90 3 YR C&I Review 8/94 C&I 11/21/97; DBT 12/15/97, Effective Sess 19981. Effective Session 19981. 3 Year Review 2001. 3 Year Review 2005 eff20061(0370). 3 Year Review 2009 C&I Approval: 03/17/1998, BOT Approval: 04/20/1998, Effective Term: Fall 2006 (370).
C&I Approval: 02/17/2024, BOT Approval: 03/19/2024, Effective Term: Fall 2024 (640)

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