Lecture 1. Computers, Operating systems, Programs

Exercise 1.1 Respond to the following questions:

General

G.1 What PC stands for?

G.2 Which one of the following is not a basic function of a PC?

G.3 A binary file can be

G.4 WWW comes from

G.5 What is E-Mail?

G.6 A measure of primary or secondary memory common to computers. (1024 X 1024 bytes)

G.7 The numeric representation of the on and off electrical status in a computer.

G.8 To gain access to a network system by dialing the telephone number and entering an identification number and password.

G.9 The global network of networks.

G.10 Copying computer programs without authorization from the creator for personal or commercial use is

G.11 Data that has been translated into a secret code for security reasons.

G.12 The activity of computer enthusiasts who are challenged by the practice of breaking computer security measures.

G.13 An individual's rights regarding the collection, processing, storage, distribution, and use of data about his or her personal traits or activities.

G.14 Crime directed against hardware or software which physically damages the equipment and requires no special expertise on the part of the criminal.

G.15 An individual that penetrates the security measures and get access/ control on certain computers.

G.16 To receive into a computer an electronically transmitted file.

G.17 A physical device, such as a computer or printer, that is connected to a network system.

G.18 The smallest unit of data that a computer can process.

Hardware

H.1 The HD's stay

H.2 The microphone plugs into

H.3 A CD-ROM can hold the same amount of data as

H.4 Which one is the newest controller type

H.5 Which one of these printers is the most expensive:

H.6 Which is the smallest object of these ones:

H.7 The RAM is used to

H.8 The mouse is usually connected to:

H.9 Which one of the following is a certain disadvantage of Inkjet printers

H.10 Can be a computer used as a fax machine?

H.11 Speakers:

H.12 A good monitor

H.13 The access time for a Hard Disk is of the order of:

H.14 Processes the data and controls the functions of the computer.

H.15 Measurement used to state the internal clock speed of a computer.

H.16 A device that modulates and demodulates signals transmitted over communication lines.

H.17 The smallest element on a video display screen.

H.18 A temporary memory storage.

H.19 A measure of the resolution of characters displayed by a monitor or printer.

H.20 The amount of data that can be stored on a HD 3.5" floppy disk.

H.21 An input device, output device, or secondary storage unit connected to a computer.

H.22 A form of primary computer memory into which instructions and data can be written to, read from, and easily erased.

H.23 A computer which can process eight bytes of data at one time is a

H.24 Hardware connections through which the components of the computer system talk to each other.

H.25 The phone line signal which a modem translates to a signal the computer can process.

H.26 Data fed into the computer for processing.

H.27 The measurement of the speed of data transmitted in one second.

Operating Systems

O.1 When you double click on an item, you usually:

O.2 When you select a window title from the Window menu, what does Windows do to the associated group window?

O.3 Which of the following can be used to resize a group window?

O.4 What are small pictures that represent an individual application or groups of applications?

O.5 Which keys are used to switch between applications on the desktop?

O.6 Which key is used when selecting a group of files?

O.7 After selecting a group of files, what would you do to copy the files to a new drive or directory?

O.8 Which menu allows you to format a diskette?

O.9 Which of the following contains the directory structure of the current drive?

O.10 An on-screen symbol consisting of a letter and > that indicates the operating system is ready for a command represents the.

O.11 Running two or more programs on a computer at once is

O.12 The operating system command which prepares a disk to receive data or programs.

O.13 The routines that control the computer and gives the user control over hardware and software.

The main directory of a disk from which other directories branch.

The process of loading the operating system into the main memory of a computer.

Software

S.1 Which menu contains the commands that allow you to rename or delete a file?

S.2 When searching for help, which button displays a list of Help topics?

S.3 A computer program that can prevent the infection of a computer by known viruses.

S.4 In order to download some files, you need:

S.5 The combined use of moving and still images, text, sound, or animation in communication.

S.6 The combination of text and graphics in the creation of a professional looking document.

S.7 A collection of related data fields that contain information about one subject.

S.8 A subdivision of a record that holds a meaningful item of data.

S.9 The act of preparing documents and manipulating text electronically.

S.10 Software written primarily to organize, process, and retrieve items of data.

S.11 Software written primarily to solve numeric problems using rows and columns..

S.12 Programs written for solving a specific user problem or for performing a specific task.

S.13 A computer program that can destroy the contents of a hard or floppy disk.

S.14 A software that allows the user to connect to and navigate the Internet.

Lecture 3. Matlab Introduction, Command line, Getting Help,

Exercise 3.1 Construct a matrix A_{[5 5]} with random entries

Exercise 3.2 Change the values of all the entries in the submatrix consisting of the last 3 rows and the last 3 columns of A_{[5 5]} to

.Use the end command. Do not use loops.

Exercise 3.3 Change the values of all the entries of A_{[5 5]} in the first two rows to ones. Then change the values of all the entries of N in the last three columns to fives.

Exercise 3.4 Change the values of all the entries in the sub-matrix consisting of rows 4 to 6 and columns 4 to 6 of the matrix A_{[10 10]} to ones. Can you find a way to do this without using the ones function (using a scalar)? Again, do not use loops.

Exercise 3.5 Create a 6x6 matrix, P, with some random values. Change the values in the upper left corner to the value in the upper right corner and change the value of the lower left corner to the value of the lower right corner in one Matlab statement.

Exercise 3.6 Create a matrix A_{[4 4]} with random values. Reverse all the rows in A.

Exercise 3.7 Create a matrix A_{[10 10]} with random values. In one line of code, switch A(1,1) and A(10,10).

Exercise 3.8 Write an m-file function to return the solutions of the equation zⁿ-a=0, with n,a N.

Exercise 3.9 Construct a 9x9 matrix, M, of random entries between 0 and 100. Change the values of all the entries in the first 3 rows and 3 columns of M to zeros using colon notation. Use the zeros function. Do not use loops.

Exercise 3.10 Find out the values for sinus(2), sinus(0), cosinus(pi/3), tangent(p/2), 10¹⁰⁰, 101¹⁰¹, 1001¹⁰⁰¹, p^e, e^p, (1+i)¹⁰, (2+i*3/p)^1/2

Exercise 3.11 Create a table with the values of the basic trigonometric functions (sinus, cosinus, tangent, cotangent) with the arguments the grades from 0º to 180º.

Exercise 3.12 Generate a matrix A_{[5 5]} with random elements 0 or1.

Exercise 3.13 Build the vectors

a1=[100,95,90, ... ,-95,-100]

a2=[sin (pi),sin(2 pi), ... ,sin(10 pi)]

a=[0,1,1, ... ,1,1,0] with 10 elements

Exercise 3.14 Build the vector v=[1^2,2^2, ... ,10^2]

Exercise 3.15 Build the vector v=[2,4, ... ,2^20]

Exercise 3.16 Build the vector with complex number entries v=[1+i,1+2i,1+3i, ... ,1+50i].

Lecture 4. Matlab Script and Function Files, I/O Functions

Exercise 4.1 Write a script to find which number is bigger: 101⁹⁹ or 99¹⁰¹?

Exercise 4.2 Write a function to verify that a number is prime. Use it to find out the first 10000 prime numbers.

Exercise 4.3 Define an array x with 100 elements, where x_n+1= and x₁=100. Why are the last elements equal? How much equal are they?

Exercise 4.4 How much is the determinant of

Why?

Exercise 4.5 Solve the equation x^25+2*x^4-3*x^2+x+1=0

Exercise 4.6 Solve the system

Exercise 4.7 Compute log₁₀(5.2*7.3) and log₁₀(5.2)+log₁₀(7.3), and also verify that 10^log₁₀^(e)=e

Exercise 4.8 Find out the values of sin(90°), cos (45°), tan(35°). The trigonometric functions assume the argument is given in terms of radians

Exercise 4.9 Plot the graph of 2*sin(x)+3*cos(x/2+2)-sin(x^3) for x in [0 10]. Which is the max and the min?

Exercise 4.10 Determine the eigenvalues for the matrix

Exercise 4.11 Determine the polynomial y of degree 5 that fits better the points

x(1 2 3 4 5 6 7) , y(2 3 1 4 5 6 7);

Exercise 4.12 Create a vector of the even integer numbers between 23 and 175.

Exercise 4.13 Create a vector of the even integer numbers between 23 and 175. The numbers must not be multiples of 5.

Exercise 4.14 Create a vector x with the elements, x_n = (-1)ⁿ⁺¹/(2n-1), with n=1:100. What is the sum of the elements of this vector?

Exercise 4.15 Write down the function that will compute the length of the hypotenuse of a right triangle given the lengths of the sides

Exercise 4.16 Compute the angles of a triangle given the lengths of the three sides, using the cosine rule c² = a² + b² - 2abcos(), where t is the included angle between the given sides.

Exercise 4.17 Write a MATLAB function mat_max.m that finds the maximum (largest value) of a matrix and the location of this maximum. The input is the matrix A, and the outputs will be maxvalue: largest entry in A and rmax, cmax: integers specifying the (row,column) location of the max value.

Exercise 4.18 Given the dimension n, compute the matrix A_[nxn] having the elements:

Exercise 4.19 Define a Matlab function that will implement:

Exercise 4.20 Write a function to find the first 10000 prime numbers using matlab predefined functions. Compare the execution time and number of operations with the solution from Exercise 4.2.

Lecture 5. Flow Control

Exercise 5.1 Write a script file that asks for the user's name Name and sex (M or F).

If the user is female - F, the program should return "Hello Miss [Name]!" and if the user is male - M, the program should return "Hello Mister [Name]!"

Exercise 5.2 Write a script file that asks the user for a positive integer, n, and returns the product of all positive even integers less than or equal to n. The user should be able to do this repeatedly as many times as the user agrees.

Exercise 5.3 Write a Matlab program that asks the user for an integer and returns a text indicating if the number is positive, negative, or zero.

Exercise 5.4 Write a short Matlab program to input an integer n and build a n by n matrix with the numbers 1,2,... ,n on the main diagonal and zeros everywhere else (hint: Look at the command diag .

Exercise 5.5 Write a short Matlab program to input an integer n and build the n by n matrix A with entries A(i.k)=i+k*i^k.

Exercise 5.6 Write a short Matlab program to compute the first 100 Fibonnaci numbers: F(1)=1, F(2)=1, F(n)=F(n-1)+F(n-2)

Exercise 5.7 Write a program to introduce a matrix A with n lines and m columns element by element.

Exercise 5.8 Construct a square matrix A_{[n n]} having as elements . Use loops. Do it again without using loops.

Exercise 5.9 Construct a square matrix A_{[n n]} having as elements . Use loops. Do it again without using loops.

Exercise 5.10 Construct a square matrix A_{[n n]} having as elements . Use loops. Do it again without using loops.

Exercise 5.11 Write a function to compute the greatest common divisor (GCD) of two numbers a and b, using the Euclid algorithm. The algorithm is:

read a, b

compute the remainder of a/b

replace a by b

replace b by the remainder computed in 2)

repeat the steps 1-4 until b is 0

the GCD is the final value of a

Exercise 5.12 Write the function pos_primes_f that will use a "for" cycle to find out the positions of prime numbers in a given array.

Lecture 6. Strings, Set Operations, Plotting

Exercise 6.1 Obtain the extended ASCII characters (codes from 0 to 255).

Exercise 6.2 What are the codes of the keyboard characters?

!"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ [\]^_`abcdefghijklmnopqrstuvwxyz~

Exercise 6.3 What are the codes of the digits from 0 to 9?

0123456789

Exercise 6.4 What are the codes of the uppercase letters?

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Exercise 6.5 What are the codes of the lowercase letters?

abcdefghijklmnopqrstuvwxyz

Exercise 6.6 Display the Bizarro characters (codes from 123 to 255)

¡¢£¤¥¦§¨©ª«¬­®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞß

àáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ

Exercise 6.7 Build a table of the numbers n, log(n)/n and 10^n*exp(n) with n=1 2 3 4 5 6 7 8 9 10. If you just do it without thought the output looks terrible. Try using fprintf to get a better look.

Exercise 6.8 Plot a sin function for values of the argument between 0 and 4*pi;

Exercise 6.9 Plot the functions x, x³, e^x and , sin(x), tan(x), over the interval 0 < x < 5.

Exercise 6.10 Plot both y=x and y= x2 over the interval [0,10] and choose your own colors and symbols for each curve?

Exercise 6.11 Make a good-looking plot of the function f(x) = sin(1/x) for 0.01 < x < 0.1. What do you have to do such that the function looks good?

Exercise 6.12. Exercise Write a Matlab program that emulates the random selection of values for the "6 from 49" Romanian National Lottery game

Exercise 6.13 Plot on the same graph 3 sinusoidal functions with the phase difference of 2p/3 for values of t between 0 and 4*pi;

Exercise 6.14 Obtain the four graphs (in a 2*2 subplot) of a cosine, sine, tangent and cotangent function for values between 0 and pi/2;

Exercise 6.15 On the same axes plot sin(t*pi*x) for t=1..5. Use x=0:.1:2*pi.

Exercise 6.16 Plot sin(x)/x on -5*pi to 5*pi

Exercise 6.16 Plot x*cos(1/x-) on the interval 10 to 1000.

Exercise 6.17 Write a script that will draw a spiral. Use polar coordinates

Exercise 6.18 Write a script that will draw a spiral. Use complex number plots.

Lecture 2. Problems, Computer solving Problems, Algorithms.

Laboratory 2.

Lecture 7. File I/O Functions

Laboratory 7. File I/O Functions

Lecture 8. Functions

Laboratory 8.

Lecture 9. Recurrent Functions, Backtracking

Laboratory 9. Recurrent Functions, Backtracking

Lecture 10. Using Excel to solve mathematical, engineering Problems.

Laboratory 10. Excel Solving Problems

Lecture 11. Engineering Problems 1- Max/Min, Sorting.

Lecture 12. Engineering Problems 2 - Equations, Derivatives, Integrals, Monte Carlo

Lecture 13. Engineering Problems 3 - Differential Equations, Arrays, Optimizations

Lecture 14. GUIs in MATLAB -