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4434Make my Groups
http://www.merlot.org/merlot/viewMaterial.htm?id=1027497
Application available for free on iTunes. It is for iPhone, iPod touch, or iPad. This app is a team generator that could save teachers a lot of time.A First Course in Linear Algebra: Study Guide for the Undergraduate Linear Algebra Course
http://www.merlot.org/merlot/viewMaterial.htm?id=1026760
In this book, there are five chapters: Systems of Linear Equations, Vector Spaces, Homogeneous Systems, Characteristic Equation of Matrix, and Matrix Dot Product. It has also exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at “Answers to Odd-Numbered Exercises” section at the end of this book. This book is very useful for college students who studied Calculus I, and other students who want to review some linear algebra concepts before studying a second course in linear algebra. This book is available online for free in google books and ResearchGate in PDF format under a Creative Commons license.A Friendly Introduction to Differential Equations
http://www.merlot.org/merlot/viewMaterial.htm?id=1026757
In this book, there are five chapters: The Laplace Transform, Systems of Homogeneous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In addition, there are exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at "Answers to Odd-Numbered Exercises" section at the end of this book. This book is a very useful for college students who studied Calculus II, and other students who want to review some concepts of differential equations before studying courses such as partial differential equations, applied mathematics, and electric circuits II. This book is available online for free in google books and ResearchGate in PDF format under a Creative Commons license.Introduction to Numerical Analysis
http://www.merlot.org/merlot/viewMaterial.htm?id=1026754
In this course, you will be Introduced to several methods of numerical approximation such as error analysis, root finding, interpolation, polynomial approximation and the direct methods for solving linear equations. During five weeks of the course, you will be learning these methods and compare them as well. The course is divided into five weeks where each week you will find a set of video lectures posted with a PDF version of lecture notes as well.Advanced Numerical Analysis
http://www.merlot.org/merlot/viewMaterial.htm?id=1026763
In this course, you will be Introduced to several numerical approximation methods such as interpolation: divided difference, polynomial approximations, iterative methods for solving linear systems, numerical differentiation and numerical integration. During five weeks of the course, you will be learning these methods and compare them as well. The course is divided into five weeks where each week you will find a set of video lectures posted with a PDF version of lecture notes as well.Elementary Stats
http://www.merlot.org/merlot/viewMaterial.htm?id=1021852
This course is the study of descriptive statistics; probability; discrete and continuous (including binomial, normal and T) distributions; sampling distributions; interval estimation; hypothesis testing; linear regression and correlation. It is recommended for majors in the fields of biology, mathematics, social sciences, education and business. Algebra 1
http://www.merlot.org/merlot/viewMaterial.htm?id=1021597
This lesson demonstrates different learning activities and quiz related to functions.Elementary Statistics
http://www.merlot.org/merlot/viewMaterial.htm?id=1020983
This course is the study of descriptive statistics; probability; discrete and continuous (including binomial, normal and T) distributions; sampling distributions; interval estimation; hypothesis testing; linear regression and correlation. It is recommended for majors in the fields of biology, mathematics, social sciences, education and business. Differential Equations with YouTube Examples
http://www.merlot.org/merlot/viewMaterial.htm?id=1017019
'This review book, used in conjunction with free online YouTube videos, is designed to help students prepare for exams, or for self-study. The topics covered here are most of the standard topics covered in a first course in differential equations.The chapters and sections of this review book, organized by topics, can be read independently. Each chapter or section consists of three parts: (1) Theory; (2) YouTube Example; and (3) Additional Practice. In Theory, a summary of the topic and associated solution method is given. It is assumed that the student has seen the material before in lecture or in a standard textbook so that the presentation is concise. In YouTube Example, an online YouTube video illustrates how to solve an example problem given in the review book. Students are encouraged to view the video before proceeding to Additional Practice, which provides additional practice exercises similar to the YouTube example. The solutions to all of the practice exercises are given in this review book’s Appendix.For students who self-study, or desire additional explanatory materials, a complete set of free lecture notes by the author entitled An Introduction to Differential Equations can be downloaded by clicking HERE. This set of lecture notes also contains links to additional YouTube tutorials. The lecture notes and tutorials have been extensively used by the author over several years when teaching an introductory differential equations course at the Hong Kong University of Science and Technology.'Exercises in Statistical Inference with detailed solutions
http://www.merlot.org/merlot/viewMaterial.htm?id=1016990
'Statistical inference is a process of drawing general conclusions from data in a specific sample. Typical inferential problems are: Does alternative A give higher return than alternative B? Is drug A more effective than drug B? In both cases solutions are based on observations in a single sample.To solve inferential problems one has to deal with the problems: (i) How to find the best estimate of an unknown quantity, (ii) How to find an interval that covers the true unknown value and (iii) How to test hypothesis about the value of an unknown quantity. The treatment of these issues can be found in a large amount of statistical textbooks. The present book differs from the latter since it focuses on problem solving and only a minimum of the theory needed is presented.'