Lab Iteration: For Loops

ENGR1121 – Computing Applications in Mechanical Engineering Lab Iteration: For Loops Lab due: end of lab Total points: 20 Labs are to be individual work. You may use MATLAB Marina, MATLAB’s help, and your notes. Lab work will be graded during lab time and working results must be shown to the lab instructor by the end of the scheduled lab time. All MATLAB programs and functions must be completed and submitted in accordance with the Computing Assignment Format and the MATLAB Coding Style. Submit an electronic copy of your lab work to the appropriate Dropbox Folder in GSU’s Folio by the end of lab. No hard copy needed unless specifically requested by the instructor. Grading Each problem will be graded according to: program design (identifying inputs/givens, process, and outputs; algorithm) and program style (program comments, variable names, proper formatted input and output including units) 25%, and program correctness 75%. Lab Work 1. (5 points) Write a MATLAB program using for loops to do the following. Although you will probably see ways to solve these problems without iteration, you must use it for all these solutions. a) Display numbers from 1,2,3….50 b) Display numbers from 50, 49, 48,…1 c) Display only even numbers from 2,4,6,…50 d) Create a vector x with odd numbers 1,3,5,…99 as its elements e) Create a vector y with its elements as cube of its indices: 1,8,27,….1000000 2. (6 points) Write a MATLAB program that will perform the following operations on an array of data v. Create the array v = [-13.5 2.5 -32.0 45.0 -23.0 4.25 0.0 0.85 10.0 -1.5] using direct entry. a) Using iteration (for loop), iterate over the indices of the array v and create a new array w whose values are the corresponding values in v divided by the index of the element. b) Using iteration (for loop), iterate over the data of the array v and create a new array y whose values are the corresponding values in v squared. c) Using iteration (for loop), iterate over the indices of the array v and create a new array boolGTZ whose values are true if the corresponding value of v is positive and false otherwise. 3. (5 points) Write a MATLAB program to compute an approximation of the infinite series using N=15 terms = f ∞ ∑ 5k k =1 2 − 2k . a) Use iteration (for loop) and scalar operations. Do not use element by element operations on arrays or MATLAB’s built in sum function. b) Use element by element operations on arrays and MATLAB’s built in sum function to verify your answer to part (a). 4. (4 points) The elements of the symmetric Pascal matrix are obtained from: Pmn = (m + n − 2)! (m − 1)!(n − 1)! Write a MATLAB program that uses iteration to create an n x n symmetric Pascal matrix. Use the program to create 4 x 4 and 7 x 7 Pascal matrices. Use the built-in MATLAB function pascal to check your work. 1 Instructor: Dr. Priya Goeser