Feb 29, 2024  
2016-2017 Catalog 
    
2016-2017 Catalog [PAST CATALOG]

MAT 192 - Calculus and Analytic Geometry 2

4 credit hours - Four hours weekly; one term.
This course meets the Mathematics General Education Requirement.

Learn numerical and analytical techniques for integration and apply these techniques to solve problems involving definite integrals. Other topics include solving separable differentiable equations, extending the concepts of calculus to polar and parametric forms, using Taylor polynomials to approximate functions, and determining the convergence or divergence of improper integrals, infinite sequences and infinite series.

Prerequisite(s): MAT 191  or equivalent.

Crosslisted: Also offered as MAT 192H ; credit is not given for both MAT 192 and MAT 192H .

Course Outcomes
Upon successful completion of this course, students will be able to:
 

  • Use definite integral to find the area, volume, work, arc-length, surface area, etc.
  • Use advanced techniques of integration to evaluate definite and indefinite integrals.
  • Solve separable differential equations, including applications.
  • Approximate definite integrals numerically and analyze the error.
  • Determine the convergence or divergence of improper integrals, infinite sequences and infinite series.
  • Find Taylor Polynomials and apply them to finding approximations.
  • Extend the concepts of calculus to curves in parametric and polar forms.
  • Demonstrate applications of the derivatives and integrals referred to in (7) above.
  • Solve problems numerically, graphically and algebraically.
Core Competencies
Core 1 Communication Core 2 Technology Fluency Core 7 Quantitative Reasoning Core 10 Innovative and Critical Thinking