Introduction to MATLAB (2.29 Spring 06)


 Christal Strickland
 1 years ago
 Views:
Transcription
1 Introduction to MATLAB (2.29 Spring 06) 1. Assignment of Variables (i.e. scalars, vectors, matrices) 2. Mathematical Operations 3. Builtin Variables and Functions 4. Input/Output Data Files 5. Basic Graphics 6. Functions 7. Decisions 8. Loops (for loops and while loops) 1
2 Builtin Variables and Functions Builtin variables: Variable Meaning ans value of an expression when that expression is not assigned to a variable eps floatingpoint precision i, j unit imaginary numbers, i=j=sqrt(1) pi π, realmax largest positive floatingpoint number realmin smallest positive floatingpoint number Inf, the result of evaluation 1/0 NaN not a number (i.e. the result of evaluating 0/0) * Although you can assign the values of these builtin variables, it is not a good idea to do so, because they are used by the builtin functions. Builtin functions: Trigonometric: sin  Sine. sind  Sine of argument in degrees. sinh  Hyperbolic sine. asin  Inverse sine. asind  Inverse sine, result in degrees. asinh  Inverse hyperbolic sine. cos  Cosine. cosd  Cosine of argument in degrees. cosh  Hyperbolic cosine. acos  Inverse cosine. acosd  Inverse cosine, result in degrees. acosh  Inverse hyperbolic cosine. tan  Tangent. tand  Tangent of argument in degrees. tanh  Hyperbolic tangent. atan  Inverse tangent. atand  Inverse tangent, result in degrees. atan2  Four quadrant inverse tangent. Exponential: exp  Exponential. log  Natural logarithm. log10  Common (base 10) logarithm. log2  Base 2 logarithm and dissect floating point number. reallog  Natural logarithm of real number. 2
3 realsqrt sqrt nthroot  Square root of number greater than or equal to zero.  Square root.  Real nth root of real numbers. Complex: abs  Absolute value. angle  Phase angle. complex  Construct complex data from real and imaginary parts. conj  Complex conjugate. imag  Complex imaginary part. real  Complex real part. * To find more builtin elementary mathematical functions, use the help command: >> help elfun ** To find the meaning of a specific function and how to use it, use the help command: >> help functionname (e.g. help sind) 3
4 Input/Output Data Files Export data to a file using save command: save filename save filename variable1 variable2 save filename variable1 variable2 ascii >> % for example >> clear >> x=[0:10]; y=10*x; >> save xyfile1 %save all variables in xyfile1.mat file >> save xyfile2 x y %save x and y in xyfile2.mat file >> save xyfile3 x y ascii %save x and y in xyfile3 file in ascii format >> >> xy=[x y ] >> save xyfile4 xy ascii >> type xyfile4 Equivalently to a function form: save( filename, ariable1, variable2 ) >> % for example >> clear >> x=[0:10]; y=10*x; >> save( xyfile5, x, y ) % xyfile5.mat is identical to xyfile2.mat Import data from a file into Matlab using load command: load filename load filename matrixvariable %filename must be in a binary mat file %filename contains only columns of numbers %corresponding to a matrix The syntax of the function form of load : D=load( filename ) If filename is a mat file, the D variable created by this function is a Matlab structure. >> D=load( xyfile2 ) >> D = x: [ ] y: [ ] If filename is a plain text file, the D variable will be a matrix containing all of the data in filename. >> D=load( xyfile3 ) D =
5 Graphics Line plots: Single line: plot(xdata,ydata,symbol) Two lines: plot(xdata1,ydata1,symbol1,xdata2,ydata2,symbol2) Multiple lines: plot(xdata1,ydata1,symbol1,xdata2,ydata2,symbol2, ) symbol is a string constructed from the characters of color and symbol (or line) type. >> clear >> x=[0:20]; y=x.^2; >> plot(x,y) % solid line of xy curve >> plot(x,y, o ) % xy curve with open circle at each data point >> plot(x,y, yo ) % xy curve with yellow open circle at each data point >> plot(x,y, r ) % xy curve with data points connected by red dash line >> plot(x,y, r,x,y, yo ) % two curves in one figure >> plot(x,y, r,x,y, yo,x,2*y, r*,x,3*y,  ) %four curves >> xlabel( time (seconds) ) >> ylable( position (meters) ) >> title( position vs. time ) >> legend( curve1, curve2, curve3, curve4 ) Surface plots Contour plots 5
6 Functions Userdefined Matlab functions work just like the builtin functions. The syntax of a userdefined Matlab function is: function [outputparameterlist] = functionname (inputparameterlist) % helpcomments statements outputparameter = value; return where inputparameterlist and outputparameterlist are commaseparated list of variables used to pass data into and out of the function, statements are Matlab statements that compute the value that is assigned to outputparamter. The function Mfile should be saved as functionname.m. functionname must also be the same as the name of the file (without the.m ). % for example % sumprod.m function [s,p]=sumprod(x,y) % sumpord computes the sum and elementwise product of x and y s=x+y; p=x.* y; return Primary function vs. subfunctions % for example  use of subfunctions % sumprod2.m function [s,p]=sumprod2(x,y) % sumpord2 computes the sum and elementwise product of x and y s=sum2(x,y) p=prod2(x,y) return function s2=sum2(x,y) s2=x+y function p2=prod2(x,y) p2=x.* y 6
MATLAB Basics MATLAB numbers and numeric formats
MATLAB Basics MATLAB numbers and numeric formats All numerical variables are stored in MATLAB in double precision floatingpoint form. (In fact it is possible to force some variables to be of other types
More informationMATLAB LECTURE NOTES. Dr. ADİL YÜCEL. Istanbul Technical University Department of Mechanical Engineering
MATLAB LECTURE NOTES Dr. ADİL YÜCEL Istanbul Technical University Department of Mechanical Engineering MATLAB LECTURE NOTES Student Name Student ID Dr. ADİL YÜCEL Istanbul Technical University Department
More informationb) lower case always use lower case for all matlab commands. This is what matlab recognizes.
1 Matlab 1) Fundamentals a) Getting Help for more detailed help on any topic, typing help, then a space, and then the matlab command brings up a detailed page on the command or topic. For really difficult
More informationIntroductory Course to Matlab with Financial Case Studies
University of Cyprus Public Business Administration Department Introductory Course to Matlab with Financial Case Studies Prepared by: Panayiotis Andreou PhD Candidate PBA UCY Lefkosia, September 003 Table
More informationMAT 275 Laboratory 1 Introduction to MATLAB
MAT 275 Laboratory 1 Introduction to MATLAB MATLAB is a computer software commonly used in both education and industry to solve a wide range of problems. This Laboratory provides a brief introduction to
More informationExpense Management. Configuration and Use of the Expense Management Module of Xpert.NET
Expense Management Configuration and Use of the Expense Management Module of Xpert.NET Table of Contents 1 Introduction 3 1.1 Purpose of the Document.............................. 3 1.2 Addressees of the
More informationCommand lookfor followed by a key word (which can be anything and not only a command) gives help related to the key word.
1 Using MatLab Help Command help provides a short description of all functions. For example, to get help on the diary command, type help diary. For more information type help i diary. Command lookfor
More informationAIMMS Function Reference  Arithmetic Functions
AIMMS Function Reference  Arithmetic Functions This file contains only one chapter of the book. For a free download of the complete book in pdf format, please visit www.aimms.com Aimms 3.13 Part I Function
More informationLecture 4 Representing Data on the Computer. Ramani Duraiswami AMSC/CMSC 662 Fall 2009
Lecture 4 Representing Data on the Computer Ramani Duraiswami AMSC/CMSC 662 Fall 2009 x = ±(1+f) 2 e 0 f < 1 f = (integer < 2 52 )/ 2 521022 e 1023 e = integer Effects of floating point Effects of floating
More informationERDAS Spatial Modeler Language Reference Manual
ERDAS Spatial Modeler Language Reference Manual ERDAS IMAGINE V8.5 ERDAS, Inc. Atlanta, Georgia Copyright 2000 by ERDAS, Inc. All Rights Reserved. Printed in the United States of America. ERDAS Proprietary
More informationA Quick Tutorial on MATLAB. Gowtham Bellala
A Quick Tutorial on MATLAB Gowtham Bellala MATLAB MATLAB is a software package for doing numerical computation. It was originally designed for solving linear algebra type problems using matrices. It s
More informationSMART Notebook Math Tools. User s Guide
SMART Notebook Math Tools User s Guide The content of this guide is provided for informational purposes only and is subject to change without notice. Trademark Notice SMART Board, SMART Notebook, the SMART
More informationSouth Carolina College and CareerReady (SCCCR) PreCalculus
South Carolina College and CareerReady (SCCCR) PreCalculus Key Concepts Arithmetic with Polynomials and Rational Expressions PC.AAPR.2 PC.AAPR.3 PC.AAPR.4 PC.AAPR.5 PC.AAPR.6 PC.AAPR.7 Standards Know
More informationCDROM Appendix E: Matlab
CDROM Appendix E: Matlab Susan A. Fugett Matlab version 7 or 6.5 is a very powerful tool useful for many kinds of mathematical tasks. For the purposes of this text, however, Matlab 7 or 6.5 will be used
More informationScripting with TCL, Part 1
Scripting with TCL, Part 1 Axel Kohlmeyer Center for Molecular Modeling University of Pennsylvania SBS 2007 @ JNCASR, Bangalore The VMD Execution Model GUI (FLTK) Internal State Visualization Python Interpreter
More informationHow long is the vector? >> length(x) >> d=size(x) % What are the entries in the matrix d?
MATLAB : A TUTORIAL 1. Creating vectors..................................... 2 2. Evaluating functions y = f(x), manipulating vectors. 4 3. Plotting............................................ 5 4. Miscellaneous
More informationGraphing Calculator by Mathlab: User Manual
Graphing Calculator by Mathlab: User Manual INTRODUCTION 4 FEATURES 5 CHAPTER 1: BASICS 6 1.1 Navigation 6 1.2 UI Elements 7 1.3 Keyboard 8 1.4 Input 13 1.5 Workspace Area 16 1.6 Graph Mode 18 1.7 Table
More informationSimple Programming in MATLAB. Plotting a graph using MATLAB involves three steps:
Simple Programming in MATLAB Plotting Graphs: We will plot the graph of the function y = f(x) = e 1.5x sin(8πx), 0 x 1 Plotting a graph using MATLAB involves three steps: Create points 0 = x 1 < x 2
More informationPrecalculus REVERSE CORRELATION. Content Expectations for. Precalculus. Michigan CONTENT EXPECTATIONS FOR PRECALCULUS CHAPTER/LESSON TITLES
Content Expectations for Precalculus Michigan Precalculus 2011 REVERSE CORRELATION CHAPTER/LESSON TITLES Chapter 0 Preparing for Precalculus 01 Sets There are no statemandated Precalculus 02 Operations
More informationIntroduction to MATLAB
Introduction to MATLAB What is MATLAB? MATLAB ( MATrix LABoratory ) is a tool for numerical computation and visualization. The basic data element is a matrix, so if you need a program that manipulates
More informationGeorgia Department of Education Kathy Cox, State Superintendent of Schools 7/19/2005 All Rights Reserved 1
Accelerated Mathematics 3 This is a course in precalculus and statistics, designed to prepare students to take AB or BC Advanced Placement Calculus. It includes rational, circular trigonometric, and inverse
More informationCalculus C/Multivariate Calculus Advanced Placement G/T Essential Curriculum
Calculus C/Multivariate Calculus Advanced Placement G/T Essential Curriculum UNIT I: The Hyperbolic Functions basic calculus concepts, including techniques for curve sketching, exponential and logarithmic
More informationVersion default Titre : Opérateur FORMULE Date : 18/10/2011 Page : 1/5 Responsable : Mathieu COURTOIS Clé : U4.31.
Titre : Opérateur FORMULE Date : 18/10/2011 Page : 1/5 Operator FORMULATES 1 Goal Defining a formula in actual value or complex from his mathematical statement. The formula will be usable in a further
More informationMATLAB Tutorial. to accompany Partial Differential Equations: Analytical and Numerical Methods, 2 nd edition by Mark S. Gockenbach (SIAM, 2010)
MATLAB Tutorial to accompany Partial Differential Equations: Analytical and Numerical Methods, 2 nd edition by Mark S. Gockenbach (SIAM, 2) MATLAB Tutorial... Introduction... 3 About this tutorial... 3
More informationChapter 7 Outline Math 236 Spring 2001
Chapter 7 Outline Math 236 Spring 2001 Note 1: Be sure to read the Disclaimer on Chapter Outlines! I cannot be responsible for misfortunes that may happen to you if you do not. Note 2: Section 7.9 will
More informationInverse Circular Function and Trigonometric Equation
Inverse Circular Function and Trigonometric Equation 1 2 Caution The 1 in f 1 is not an exponent. 3 Inverse Sine Function 4 Inverse Cosine Function 5 Inverse Tangent Function 6 Domain and Range of Inverse
More informationSOME EXCEL FORMULAS AND FUNCTIONS
SOME EXCEL FORMULAS AND FUNCTIONS About calculation operators Operators specify the type of calculation that you want to perform on the elements of a formula. Microsoft Excel includes four different types
More informationPrentice Hall Mathematics: Algebra 2 2007 Correlated to: Utah Core Curriculum for Math, Intermediate Algebra (Secondary)
Core Standards of the Course Standard 1 Students will acquire number sense and perform operations with real and complex numbers. Objective 1.1 Compute fluently and make reasonable estimates. 1. Simplify
More informationDRAFT. Further mathematics. GCE AS and A level subject content
Further mathematics GCE AS and A level subject content July 2014 s Introduction Purpose Aims and objectives Subject content Structure Background knowledge Overarching themes Use of technology Detailed
More information2+2 Just type and press enter and the answer comes up ans = 4
Demonstration Red text = commands entered in the command window Black text = Matlab responses Blue text = comments 2+2 Just type and press enter and the answer comes up 4 sin(4)^2.5728 The elementary functions
More informationBeginner s Matlab Tutorial
Christopher Lum lum@u.washington.edu Introduction Beginner s Matlab Tutorial This document is designed to act as a tutorial for an individual who has had no prior experience with Matlab. For any questions
More informationWASSCE / WAEC ELECTIVE / FURTHER MATHEMATICS SYLLABUS
Visit this link to read the introductory text for this syllabus. 1. Circular Measure Lengths of Arcs of circles and Radians Perimeters of Sectors and Segments measure in radians 2. Trigonometry (i) Sine,
More informationMATHEMATICS CLASS  XII BLUE PRINT  II. (1 Mark) (4 Marks) (6 Marks)
BLUE PRINT  II MATHEMATICS CLASS  XII S.No. Topic VSA SA LA TOTAL ( Mark) (4 Marks) (6 Marks). (a) Relations and Functions 4 () 6 () 0 () (b) Inverse trigonometric Functions. (a) Matrices Determinants
More informationTrigonometry Lesson Objectives
Trigonometry Lesson Unit 1: RIGHT TRIANGLE TRIGONOMETRY Lengths of Sides Evaluate trigonometric expressions. Express trigonometric functions as ratios in terms of the sides of a right triangle. Use the
More informationFunction Name Algebra. Parent Function. Characteristics. Harold s Parent Functions Cheat Sheet 28 December 2015
Harold s s Cheat Sheet 8 December 05 Algebra Constant Linear Identity f(x) c f(x) x Range: [c, c] Undefined (asymptote) Restrictions: c is a real number Ay + B 0 g(x) x Restrictions: m 0 General Fms: Ax
More informationMATHEMATICS (CLASSES XI XII)
MATHEMATICS (CLASSES XI XII) General Guidelines (i) All concepts/identities must be illustrated by situational examples. (ii) The language of word problems must be clear, simple and unambiguous. (iii)
More informationRoots and Coefficients of a Quadratic Equation Summary
Roots and Coefficients of a Quadratic Equation Summary For a quadratic equation with roots α and β: Sum of roots = α + β = and Product of roots = αβ = Symmetrical functions of α and β include: x = and
More informationSCILAB  Kommandos und Keywords (Auswahl)
Download der Freeware http://www.scilab.org/products/scilab/download Einführungen www.fhhtwchur.ch/uploads/media/arbeiten_mit und_scicos_v1_01.pdf www.scilab.org/support/documentation/tutorials Dort:
More informationPTC Mathcad Prime 3.0 Keyboard Shortcuts
PTC Mathcad Prime 3.0 Shortcuts Swedish s Regions Inserting Regions Operator/Command Description Shortcut Swedish Area Inserts a collapsible area you can collapse or expand to toggle the display of your
More informationAlgebra and Geometry Review (61 topics, no due date)
Course Name: Math 112 Credit Exam LA Tech University Course Code: ALEKS Course: Trigonometry Instructor: Course Dates: Course Content: 159 topics Algebra and Geometry Review (61 topics, no due date) Properties
More informationBeginning Matlab Exercises
Beginning Matlab Exercises R. J. Braun Department of Mathematical Sciences University of Delaware 1 Introduction This collection of exercises is inted to help you start learning Matlab. Matlab is a huge
More informationNumerical Matrix Analysis
Numerical Matrix Analysis Lecture Notes #10 Conditioning and / Peter Blomgren, blomgren.peter@gmail.com Department of Mathematics and Statistics Dynamical Systems Group Computational Sciences Research
More information1. Objective. 2. MATLAB Scripting: Input, Process, Output. 3. Analysis and Assistance
1. Objective University of Cincinnati Department of Electrical & Computer Engineering and Computer Science 20 ENFD 112 Fundamentals of Programming Laboratory 2: Modeling, Scripting, Visualization Spring
More informationAlgebra 2 with Trigonometry. Sample Test #1
Algebra with Trigonometry Sample Test # Answer all 9 questions in this eamination. Write your answers to the Part I multiplechoice questions on the separate answer sheet. No partial credit will be allowed
More informationMATHEMATICAL INSTITUTE UNIVERSITY OF OXFORD. Exploring Mathematics with MuPAD
MATHEMATICAL INSTITUTE UNIVERSITY OF OXFORD Exploring Mathematics with MuPAD Students Guide Michaelmas Term 2011 by Colin MacDonald y 1 0 0.2 0.3 0.4 0.5 0.6 0.7 x 1 2 3 Version 1.0, October 2010, written
More informationTrigonometric Functions and Equations
Contents Trigonometric Functions and Equations Lesson 1 Reasoning with Trigonometric Functions Investigations 1 Proving Trigonometric Identities... 271 2 Sum and Difference Identities... 276 3 Extending
More informationIntroduction to Matlab
Introduction to Matlab Social Science Research Lab American University, Washington, D.C. Web. www.american.edu/provost/ctrl/pclabs.cfm Tel. x3862 Email. SSRL@American.edu Course Objective This course provides
More informationSCIENTIFIC CALCULATOR OPERATION GUIDE. <V/R Series>
SCIENTIFIC CALCULATOR OPERATION GUIDE C O N T EN T S HOW TO OPERATE Read Before Using Key layout/reset switch 2 Display pattern 3 Display format 3 Exponent display 4 Angular unit 5 Function
More informationEstimated Pre Calculus Pacing Timeline
Estimated Pre Calculus Pacing Timeline 20102011 School Year The timeframes listed on this calendar are estimates based on a fiftyminute class period. You may need to adjust some of them from time to
More informationComplex Numbers Basic Concepts of Complex Numbers Complex Solutions of Equations Operations on Complex Numbers
Complex Numbers Basic Concepts of Complex Numbers Complex Solutions of Equations Operations on Complex Numbers Identify the number as real, complex, or pure imaginary. 2i The complex numbers are an extension
More informationTI92 GRAPHING CALCULATOR BASIC OPERATIONS
TI92 GRAPHING CALCULATOR BASIC OPERATIONS by Carolyn Meitler Concordia University Wisconsin B1 Getting Started Press ON to turn on the calculator. Press 2nd 6 to get the MEMORY screen (shown at the right).
More informationChapter 5 Polar Coordinates; Vectors 5.1 Polar coordinates 1. Pole and polar axis
Chapter 5 Polar Coordinates; Vectors 5.1 Polar coordinates 1. Pole and polar axis 2. Polar coordinates A point P in a polar coordinate system is represented by an ordered pair of numbers (r, θ). If r >
More informationIntroduction to Numerical Math and Matlab Programming
Introduction to Numerical Math and Matlab Programming Todd Young and Martin Mohlenkamp Department of Mathematics Ohio University Athens, OH 45701 young@math.ohiou.edu c 2009  Todd Young and Martin Mohlenkamp.
More information14.1. Basic Concepts of Integration. Introduction. Prerequisites. Learning Outcomes. Learning Style
Basic Concepts of Integration 14.1 Introduction When a function f(x) is known we can differentiate it to obtain its derivative df. The reverse dx process is to obtain the function f(x) from knowledge of
More information1 Review of complex numbers
1 Review of complex numbers 1.1 Complex numbers: algebra The set C of complex numbers is formed by adding a square root i of 1 to the set of real numbers: i = 1. Every complex number can be written uniquely
More informationBasic Electrical Theory
Basic Electrical Theory Mathematics Review PJM State & Member Training Dept. Objectives By the end of this presentation the Learner should be able to: Use the basics of trigonometry to calculate the different
More informationWith the Tan function, you can calculate the angle of a triangle with one corner of 90 degrees, when the smallest sides of the triangle are given:
Page 1 In game development, there are a lot of situations where you need to use the trigonometric functions. The functions are used to calculate an angle of a triangle with one corner of 90 degrees. By
More informationThinkwell s Homeschool Algebra 2 Course Lesson Plan: 34 weeks
Thinkwell s Homeschool Algebra 2 Course Lesson Plan: 34 weeks Welcome to Thinkwell s Homeschool Algebra 2! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson
More informationEXCEL FUNCTIONS MOST COMMON
EXCEL FUNCTIONS MOST COMMON This is a list of the most common Functions in Excel with a description. To see the syntax and a more in depth description, the function is a link to the Microsoft Excel site.
More informationMaths Pack. For the University Certificates in Astronomy and Cosmology
Maths Pack Distance Learning Mathematics Support Pack For the University Certificates in Astronomy and Cosmology These certificate courses are for your enjoyment. However, a proper study of astronomy or
More informationQuick Tour of Mathcad and Examples
Fall 6 Quick Tour of Mathcad and Examples Mathcad provides a unique and powerful way to work with equations, numbers, tests and graphs. Features Arithmetic Functions Plot functions Define you own variables
More informationGeneral Guide...3. Before Starting Calculation...4
General Guide...3 Turning on or off...3 Battery replacement...3 Auto poweroff function...3 Reset operation...3 Contrast adjustment...3 Display readout...4 Before Starting Calculation...4 Using " MODE
More informationCOURSE SYLLABUS PreCalculus A/B Last Modified: April 2015
COURSE SYLLABUS PreCalculus A/B Last Modified: April 2015 Course Description: In this yearlong PreCalculus course, students will cover topics over a two semester period (as designated by A and B sections).
More informationAMATH 352 Lecture 3 MATLAB Tutorial Starting MATLAB Entering Variables
AMATH 352 Lecture 3 MATLAB Tutorial MATLAB (short for MATrix LABoratory) is a very useful piece of software for numerical analysis. It provides an environment for computation and the visualization. Learning
More informationChapter 5 Functions. Introducing Functions
Chapter 5 Functions 1 Introducing Functions A function is a collection of statements that are grouped together to perform an operation Define a function Invoke a funciton return value type method name
More informationTHE COMPLEX EXPONENTIAL FUNCTION
Math 307 THE COMPLEX EXPONENTIAL FUNCTION (These notes assume you are already familiar with the basic properties of complex numbers.) We make the following definition e iθ = cos θ + i sin θ. (1) This formula
More informationIntroduction. The Aims & Objectives of the Mathematical Portion of the IBA Entry Test
Introduction The career world is competitive. The competition and the opportunities in the career world become a serious problem for students if they do not do well in Mathematics, because then they are
More informationINTRODUCTION TO MATLAB FOR ENGINEERING STUDENTS
INTRODUCTION TO MATLAB FOR ENGINEERING STUDENTS David Houcque Northwestern University (version 1.2, August 2005) Contents 1 Tutorial lessons 1 1 1.1 Introduction.................................... 1 1.2
More informationFX 115 MS Training guide. FX 115 MS Calculator. Applicable activities. Quick Reference Guide (inside the calculator cover)
Tools FX 115 MS Calculator Handouts Other materials Applicable activities Quick Reference Guide (inside the calculator cover) Key Points/ Overview Advanced scientific calculator Two line display VPAM to
More informationPRECALCULUS GRADE 12
PRECALCULUS GRADE 12 [C] Communication Trigonometry General Outcome: Develop trigonometric reasoning. A1. Demonstrate an understanding of angles in standard position, expressed in degrees and radians.
More informationFinal Exam Review: VBA
Engineering Fundamentals ENG1100  Session 14B Final Exam Review: VBA 1 //coe/dfs/home/engclasses/eng1101/f03/ethics/en1.e05.finalcoursewrapup.sxi Final Programming Exam Topics Flowcharts Assigning Variables
More informationBiggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress
Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation
More informationWho Wants to Be a Mathematician: Beginner's Guide for Students
Who Wants to Be a Mathematician: Beginner's Guide for Students Copyright Maplesoft, a division of Waterloo Maple Inc. 2013 Contents Preface... v 1 Who Wants to Be a Mathematician: Beginner's Guide for
More informationTI83 Plus GRAPHING CALCULATOR BASIC OPERATIONS. Carolyn Meitler Concordia University Wisconsin
TI83 Plus GRAPHING CALCULATOR BASIC OPERATIONS by Carolyn Meitler Concordia University Wisconsin B1 Getting Started Press ON to turn on the calculator. Press 2nd + to get the MEMORY screen (shown at
More informationMATLAB. Input and Output
MATLAB Input and Output Dipl.Ing. Ulrich Wohlfarth Input with user inputs Strings: Row vector of character (char): text = [ This is,, a text! ] String functions: help strfun Input of: Data: variable =
More informationPlotting Polar Curves We continue to study the plotting of polar curves. Recall the family of cardioids shown last time.
Plotting Polar Curves We continue to study the plotting of polar curves. Recall the family of cardioids shown last time. r = 1 cos(θ) r = 1 + cos(θ) r = 1 + sin(θ) r = 1 sin(θ) Now let us look at a similar
More informationSCIENTIFIC CALCULATOR OPERATION GUIDE. <Write View>
SCIENTIFIC CALCULATOR OPERATION GUIDE CONTENTS HOW TO OPERATE Read Before Using Key layout 2 Reset switch/ pattern 3 format and decimal setting function 34 Exponent display 4 Angular unit
More informationIntroduction to Numerical Methods and Matlab Programming for Engineers
Introduction to Numerical Methods and Matlab Programming for Engineers Todd Young and Martin J. Mohlenkamp Department of Mathematics Ohio University Athens, OH 45701 youngt@ohio.edu May 5, 2015 ii Copyright
More informationThnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks
Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks Welcome to Thinkwell s Homeschool Precalculus! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson
More informationContents. 1 Engineering Problem Solving 1. 1.1 ProblemSolvingProcess... 1. 1.2 ProblemSolvingExample... 4. 1.3 Computing Software...
Contents 1 Engineering Problem Solving 1 1.1 ProblemSolvingProcess... 1 1.2 ProblemSolvingExample... 4 1.3 Computing Software.... 8 1.4 Computing Terminology...... 12 2 Matlab Technical Computing Environment
More information28 CHAPTER 1. VECTORS AND THE GEOMETRY OF SPACE. v x. u y v z u z v y u y u z. v y v z
28 CHAPTER 1. VECTORS AND THE GEOMETRY OF SPACE 1.4 Cross Product 1.4.1 Definitions The cross product is the second multiplication operation between vectors we will study. The goal behind the definition
More informationKerby Shedden October, 2007. Overview of R
Kerby Shedden October, 2007 Overview of R R R is a programming language for statistical computing, data analysis, and graphics. It is a reimplementation of the S language, which was developed in the 1980
More informationMathematics PreTest Sample Questions A. { 11, 7} B. { 7,0,7} C. { 7, 7} D. { 11, 11}
Mathematics PreTest Sample Questions 1. Which of the following sets is closed under division? I. {½, 1,, 4} II. {1, 1} III. {1, 0, 1} A. I only B. II only C. III only D. I and II. Which of the following
More informationEuler s Formula Math 220
Euler s Formula Math 0 last change: Sept 3, 05 Complex numbers A complex number is an expression of the form x+iy where x and y are real numbers and i is the imaginary square root of. For example, + 3i
More informationMATLAB Tutorial for Calculus III  Part 1
MATLAB Tutorial for Calculus III  Part 1 Contents 1 Introduction to MATLAB 1 1.1 Logging into the system...... 2 1.2 Starting out with MATLAB.... 2 2 MATLAB as scientific calculator 3 2.1 Introduction
More informationCOMPLEX NUMBERS. a bi c di a c b d i. a bi c di a c b d i For instance, 1 i 4 7i 1 4 1 7 i 5 6i
COMPLEX NUMBERS _4+i _i FIGURE Complex numbers as points in the Arg plane i _i +i i A complex number can be represented by an expression of the form a bi, where a b are real numbers i is a symbol with
More informationPreCalculus II. where 1 is the radius of the circle and t is the radian measure of the central angle.
PreCalculus II 4.2 Trigonometric Functions: The Unit Circle The unit circle is a circle of radius 1, with its center at the origin of a rectangular coordinate system. The equation of this unit circle
More informationThe OptQuest Engine Java and.net Developer's Guilde
The OptQuest Engine Java and.net Developer's Guilde Table Of Contents Introduction to optimization... 1 What is optimization?... 1 How the OptQuest Engine works... 1 Using the documentation... 2 Platforms...
More informationMATLAB Primer. R2015b
MATLAB Primer R25b How to Contact MathWorks Latest news: www.mathworks.com Sales and services: www.mathworks.com/sales_and_services User community: www.mathworks.com/matlabcentral Technical support: www.mathworks.com/support/contact_us
More informationDear Accelerated PreCalculus Student:
Dear Accelerated PreCalculus Student: I am very excited that you have decided to take this course in the upcoming school year! This is a fastpaced, collegepreparatory mathematics course that will also
More informationTWODIMENSIONAL TRANSFORMATION
CHAPTER 2 TWODIMENSIONAL TRANSFORMATION 2.1 Introduction As stated earlier, Computer Aided Design consists of three components, namely, Design (Geometric Modeling), Analysis (FEA, etc), and Visualization
More informationUnit 7: Right Triangles and Trigonometry Lesson 7.1 Use Inequalities in a Triangle Lesson 5.5 from textbook
Unit 7: Right Triangles and Trigonometry Lesson 7.1 Use Inequalities in a Triangle Lesson 5.5 from textbook Objectives Use the triangle measurements to decide which side is longest and which angle is largest.
More information2 Complex Functions and the CauchyRiemann Equations
2 Complex Functions and the CauchyRiemann Equations 2.1 Complex functions In onevariable calculus, we study functions f(x) of a real variable x. Likewise, in complex analysis, we study functions f(z)
More informationMathematical Procedures
CHAPTER 6 Mathematical Procedures 168 CHAPTER 6 Mathematical Procedures The multidisciplinary approach to medicine has incorporated a wide variety of mathematical procedures from the fields of physics,
More informationFortran 90/95 Programming Manual
Fortran 90/95 Programming Manual fifth revision (2005) Tanja van Mourik Chemistry Department University College London Copyright: Tanja van Mourik Fortran 90/95 Programming Manual Brief History of Fortran
More informationContent. Chapter 4 Functions 61 4.1 Basic concepts on real functions 62. Credits 11
Content Credits 11 Chapter 1 Arithmetic Refresher 13 1.1 Algebra 14 Real Numbers 14 Real Polynomials 19 1.2 Equations in one variable 21 Linear Equations 21 Quadratic Equations 22 1.3 Exercises 28 Chapter
More information* * MATHEMATICS (MEI) 4756 Further Methods for Advanced Mathematics (FP2) ADVANCED GCE. Monday 10 January 2011 Morning
ADVANCED GCE MATHEMATICS (MEI) 4756 Further Methods for Advanced Mathematics (FP) Candidates answer on the answer booklet. OCR supplied materials: 8 page answer booklet (sent with general stationery) MEI
More informationMEMORANDUM. All students taking the CLC Math Placement Exam PLACEMENT INTO CALCULUS AND ANALYTIC GEOMETRY I, MTH 145:
MEMORANDUM To: All students taking the CLC Math Placement Eam From: CLC Mathematics Department Subject: What to epect on the Placement Eam Date: April 0 Placement into MTH 45 Solutions This memo is an
More informationDEFINITION 5.1.1 A complex number is a matrix of the form. x y. , y x
Chapter 5 COMPLEX NUMBERS 5.1 Constructing the complex numbers One way of introducing the field C of complex numbers is via the arithmetic of matrices. DEFINITION 5.1.1 A complex number is a matrix of
More informationWeek 13 Trigonometric Form of Complex Numbers
Week Trigonometric Form of Complex Numbers Overview In this week of the course, which is the last week if you are not going to take calculus, we will look at how Trigonometry can sometimes help in working
More information