Math 225 Calculus III

Course Description

(4-0) 4 credits. Prerequisite: MATH 125 completed with a minimum grade of “C.” A continuation of the study of calculus, including an introduction to vectors, vector calculus, partial derivatives, and multiple integrals.

Couse Learning Outcomes

A student who successfully completes this course should be able to:

  1. analyze position, velocity, and acceleration in two or three dimensions using the calculus of vector valued functions
  2. use partial derivatives to calculate rates of change of multivariate functions
  3. use multiple integrals to compute the volume, mass, center of mass, and related quantities for multivariate functions
  4. compute line integrals, including those representing work done by a variable force in a vector field
 

This course meets the BOR mandated GenEd Goal #5: Students will understand and apply fundamental mathematical processes and reasoning.

Student Learning Outcomes

As a result of taking courses meeting this goal, students will:

  1. Use mathematical symbols and mathematical structure to model and solve real world problems.
    • Assessment- Students will identify, interpret, and correctly apply standard mathematics symbols to solve problems requiring the partial derivative.
    • Assessment- Students will identify, interpret, and correctly apply standard mathematics symbols to solve problems requiring multiple integrals.
    • Assessment- Students will identify, interpret, and correctly apply standard mathematics symbols to solve problems requiring vectors and vector functions.
     
  2. Demonstrate appropriate communication skills related to mathematical terms
    • Assessment- Students will correctly use functional notation of algebra, trigonometry, and calculus.
     
  3. Demonstrate the correct use of quantifiable measurements of real world situations
    • Assessment - Students will apply their knowledge of the integral in applications such as area, volume, moments, work, arc length, and surface area.
    • Assessment - Students will apply their knowledge of the derivative in applications such as rates of change, linear approximations, optimization, velocity, and acceleration.