Programming for Engineers - Module 1

Programming for Engineers - Module 1

• Course name: Programming for Engineers
• Module: 1
• Lab: 1 & 2
• Topic: Introduction to Programming Basics
• Instructor: Dr. Rupendra Kumar Pachauri
• Software: MATLAB

Lab Session - Introduction to Programming Basics

• Problem 1 (Matrix Operations): Given a matrix A, perform the following tasks:
  • Extract the 9th element into a variable D.
  • Replace the value 30 in matrix A with 50.
  • Calculate the sum and product of all elements in matrix A.
  • Calculate the sum and product of each column in matrix A.
  • Count the number of elements in matrix A.
  • Find the minimum and maximum values for each column in matrix A.
  • Calculate the square of each element in matrix A.
  • Divide each element in matrix A by a value.
  • Add each element of matrix A together.
  • Calculate the square root of the 9th element.
• Additional Practice Questions:
  • Basic MATLAB operations (variable creation, multiplication of vectors, differences between .* and *).
  • 3x3 identity matrix creation.
  • Matrix concatenation (vertical).
  • Accessing matrix elements (row, column).
  • Script versus function differences.
  • Simple function syntax.
  • Function calls.
  • Plotting (creating a sine wave plot, labeling axes, adding a legend).

Problem 1 (Series Circuit Resistance)

• Task: Design a MATLAB program that computes the total resistance of a series circuit with three resistors (R1, R2, R3).
• Input: The values of the three resistors (R1, R2, and R3) from the user.
• Output: Total resistance (in ohms).
• Formula: Rtotal = R1 + R2 + R3

Problem 2 (Temperature Conversion)

• Task: Create a MATLAB function to convert a temperature from Celsius to Fahrenheit.
• Input: Temperature in Celsius.
• Output: Temperature in Fahrenheit.
• Formula: Fahrenheit = (Celsius * 9/5) + 32

Problem 3 (Kinetic Energy Calculation)

• Task: Design a MATLAB program to compute and display the kinetic energy of a moving object.
• Input: Mass and velocity of the object.
• Output: Kinetic Energy (in Joules).
• Formula: Kinetic Energy = 0.5 * mass * velocity^2

Problem 4 (Projectile Trajectory)

• Task: Create a MATLAB script to plot the trajectory path of a projectile.
• Input: Initial velocity and launch angle.
• Functionality Script calculates and plots projectile's x and y positions with time using kinematic equations.
• Parameters: Uses acceleration due to gravity, calculates flight time and creates time intervals.

Problem 5 (Quadratic Equation Roots)

• Task: Create a MATLAB script to compute roots of a quadratic equation (ax^2 + bx + c = 0).
• Input: coefficients a, b, and c from the user.
• Output: The roots of the equation if possible

Problem 6 (Time Conversion)

• Task: Design a MATLAB script to convert a given time (hours, minutes, seconds) to total seconds.
• Input: Time in hours, minutes, and seconds from the user.
• Output: Total time in seconds

Problem 7 (Factorial Calculation)

• Task: Write a MATLAB script to calculate the factorial of a given non-negative integer using a loop.
• Input: A non-negative integer from the user.
• Function: Calculate factorial of the integer
• Output: Factorial of the integer.
• Error Handling: Check if the input is non-negative integer.

Problem 8 (Summation)

• Task: Correct the given MATLAB script that calculates the sum of the first 10 natural numbers.
• Problem: Original script used a different variable name and needed correction

Problem 9 (Matrix Multiplication)

• Task: Create a MATLAB script multiply two compatible matrices A and B.
• Input: Matrices A and B as input.
• Functionality: Script performs matrix multiplication and displays the resultant matrix

Problem 10 (Matrix Inverse)

• Task: Program to find the inverse of a 3x3 matrix if it's invertible.
• Input: A 3x3 matrix (A)
• Functionality: Calculates and display the inverse if it exists else displays a warning that matrix is non invertible.

Problem 11 (Divergence Calculator)

• Task: Calculate the divergence of vector field F(x, y, z) = (x^2, y^2, z^2)
• Input: Vector field F(x, y, z)
• Function: MATLAB's divergence function is used.

Problem 12 (Gradient Visualization)

• Task: MATLAB script to visualize the gradient of a scalar function f(x, y)=x^2+y^2.
• Input: The scalar function f(x, y) and its domain
• Functionality: Creates a 2D plot (x, y) using mesh grid.

Sudoku Matrix Design

• Rules: Each row, column, and 3x3 subgrid must contain the numbers 1-9 without repetition.
• Matrix Dimensions: The Sudoku grid is a 9x9 matrix.

Test your understanding of the basics of programming with MATLAB in the first module of Programming for Engineers. This lab focuses on matrix operations, including element extraction, value replacement, and various calculations on matrices. Dive into practical MATLAB applications that sharpen your programming skills.