What This Document Is
This document represents the tenth project assignment for MTH 229, Calculus Computer Laboratory, at the College of Staten Island CUNY. It consists of a series of exercises designed to apply Riemann sum approximations to calculate definite integrals using MATLAB script and function m-files. The assignment assesses a student’s ability to implement numerical integration techniques and analyze convergence rates.
Why This Document Matters
This assignment is intended for students enrolled in MTH 229. It’s used to reinforce understanding of numerical methods for approximating definite integrals, a core concept in calculus with applications in various scientific and engineering fields. Successful completion demonstrates proficiency in using MATLAB for mathematical computation and problem-solving.
Common Limitations or Challenges
This document provides the assignment itself and the student’s performance results. It does *not* offer instruction on Riemann sums or MATLAB programming. Students are expected to have prior knowledge of these topics. It also doesn’t provide detailed explanations of the mathematical concepts behind the exercises.
What This Document Provides
The document includes:
* The original exercise prompts for calculating areas under curves using Riemann sums.
* Student responses to each exercise, including numerical answers submitted.
* Grading information, showing points received for each question.
* Specific examples involving functions like sin(x), sin(sqrt(x)), and e<sup>x/2</sup>.
* Results of calculations with varying values of 'n' (number of subintervals) to demonstrate convergence.
This preview does *not* include the MATLAB code used to solve the problems, nor does it provide a detailed explanation of the underlying mathematical principles.