Online courses directory (19947)

This course systematically explores the effectiveness of the law and justice system from a psychological perspective. By experiencing a fictional case first hand, you will learn about the psychology of law and some of the misconceptions commonly held about criminal justice. 

Want to learn about how you become who you are, but not sure where to kick off that journey?  This is a fantastic course for you.

This course covers important factors influencing your growing up.  We discuss personality and emotion, romantic and intimate relationships, as well as the interplay between culture and these factors on your personal growth journey. In the course, we allude to the findings pertinent to the Chinese samples.

All analytics work begins and ends with a story. Storytelling is the analytics professional’s missing link in delivering the essence of signals and insights from data to executives, management and more for real business results.

In this analytics storytelling course, you’ll learn effective strategies and tools to master data communication in the most impactful way possible—through well-crafted analytics stories.

Use the power of algebra to understand and interpret points and lines (something we typically do in geometry). This will include slope and the equation of a line. Descartes and Cartesian Coordinates. The Coordinate Plane. Plot ordered pairs. Graphing points exercise. Graphing points. Quadrants of Coordinate Plane. Graphing points and naming quadrants exercise. Graphing points and naming quadrants. Points on the coordinate plane. Points on the coordinate plane. Coordinate plane word problems exercise. Coordinate plane word problems. Reflecting points exercise. Reflecting points. Ordered pair solutions of equations. Ordered Pair Solutions of Equations 2. Determining a linear equation by trying out values from a table. Equations from tables. Plotting (x,y) relationships. Graphs of Linear Equations. Application problem with graph. Ordered pair solutions to linear equations. Interpreting Linear Graphs. Exploring linear relationships. Recognizing Linear Functions. Interpreting linear relationships. Graphing lines 1. Recognizing Linear Functions. Linear and nonlinear functions (example 1). Linear and nonlinear functions (example 2). Linear and nonlinear functions (example 3). Linear and nonlinear functions. Graphing using X and Y intercepts. Graphing Using Intercepts. X and Y intercepts. X and Y intercepts 2. Solving for the x-intercept. Finding x intercept of a line. Finding intercepts for a linear function from a table. Linear function intercepts. Interpreting intercepts of linear functions. Interpreting and finding intercepts of linear functions. Analyzing and identifying proportional relationships ex1. Analyzing and identifying proportional relationships ex2. Analyzing and identifying proportional relationships ex3. Analyzing and identifying proportional relationships. Comparing proportional relationships. Constructing an equation for a proportional relationship. Constructing and comparing proportional relationships. Graphing proportional relationships example. Graphing proportional relationships example 2. Graphing proportional relationships example 3. Graphing proportional relationships. Comparing rates. Representing and comparing rates. Rates and proportional relationships. Rate problem with fractions 1. Unit cost with fractions 1. Rate problems 1. Slope of a line. Slope of a Line 2. Slope and Rate of Change. Graphical Slope of a Line. Slope of a Line 3. Slope Example. Hairier Slope of Line. Identifying slope of a line. Slope and Y-intercept Intuition. Line graph intuition. Algebra: Slope. Algebra: Slope 2. Algebra: Slope 3. Graphing a line in slope intercept form. Converting to slope-intercept form. Graphing linear equations. Fitting a Line to Data. Comparing linear functions 1. Comparing linear functions 2. Comparing linear functions 3. Comparing linear functions. Interpreting features of linear functions example. Interpreting features of linear functions example 2. Interpreting features of linear functions. Comparing linear functions applications 1. Comparing linear functions applications 2. Comparing linear functions applications 3. Comparing linear functions applications. Constructing a linear function word problem. Constructing and interpreting a linear function. Constructing linear graphs. Constructing and interpreting linear functions. Multiple examples of constructing linear equations in slope-intercept form. Constructing equations in slope-intercept form from graphs. Constructing linear equations to solve word problems. Linear equation from slope and a point. Finding a linear equation given a point and slope. Equation of a line from fractional slope and point. Constructing the equation of a line given two points. Finding y intercept given slope and point. Solving for the y-intercept. Slope intercept form from table. Slope intercept form. Idea behind point slope form. Linear Equations in Point Slope Form. Point slope form. Linear Equations in Standard Form. Point-slope and standard form. Converting between slope-intercept and standard form. Converting from point slope to slope intercept form. Converting between point-slope and slope-intercept. Finding the equation of a line. Midpoint formula. Midpoint formula. The Pythagorean theorem intro. Pythagorean theorem. Distance Formula. Distance formula. Perpendicular Line Slope. Equations of Parallel and Perpendicular Lines. Parallel Line Equation. Parallel Lines. Parallel Lines 2. Parallel lines 3. Perpendicular Lines. Perpendicular lines 2. Equations of parallel and perpendicular lines. Distance between a point and a line. Distance between point and line. Algebra: Slope and Y-intercept intuition. Algebra: Equation of a line. CA Algebra I: Slope and Y-intercept. Graphing Inequalities. Solving and graphing linear inequalities in two variables 1. Graphing Linear Inequalities in Two Variables Example 2. Graphing Inequalities 2. Graphing linear inequalities in two variables 3. Graphs of inequalities. Graphing linear inequalities. Graphing Inequalities 1. Graphing and solving linear inequalities. CA Algebra I: Graphing Inequalities. Similar triangles to prove that the slope is constant for a line. Slope and triangle similarity 1. Slope and triangle similarity 2. Slope and triangle similarity 3. Slope and triangle similarity 4. Slope and triangle similarity. Average Rate of Change Example 1). Average Rate of Change Example 2). Average Rate of Change Example 3). Average rate of change when function defined by equation. Average rate of change. Descartes and Cartesian Coordinates. The Coordinate Plane. Plot ordered pairs. Graphing points exercise. Graphing points. Quadrants of Coordinate Plane. Graphing points and naming quadrants exercise. Graphing points and naming quadrants. Points on the coordinate plane. Points on the coordinate plane. Coordinate plane word problems exercise. Coordinate plane word problems. Reflecting points exercise. Reflecting points. Ordered pair solutions of equations. Ordered Pair Solutions of Equations 2. Determining a linear equation by trying out values from a table. Equations from tables. Plotting (x,y) relationships. Graphs of Linear Equations. Application problem with graph. Ordered pair solutions to linear equations. Interpreting Linear Graphs. Exploring linear relationships. Recognizing Linear Functions. Interpreting linear relationships. Graphing lines 1. Recognizing Linear Functions. Linear and nonlinear functions (example 1). Linear and nonlinear functions (example 2). Linear and nonlinear functions (example 3). Linear and nonlinear functions. Graphing using X and Y intercepts. Graphing Using Intercepts. X and Y intercepts. X and Y intercepts 2. Solving for the x-intercept. Finding x intercept of a line. Finding intercepts for a linear function from a table. Linear function intercepts. Interpreting intercepts of linear functions. Interpreting and finding intercepts of linear functions. Analyzing and identifying proportional relationships ex1. Analyzing and identifying proportional relationships ex2. Analyzing and identifying proportional relationships ex3. Analyzing and identifying proportional relationships. Comparing proportional relationships. Constructing an equation for a proportional relationship. Constructing and comparing proportional relationships. Graphing proportional relationships example. Graphing proportional relationships example 2. Graphing proportional relationships example 3. Graphing proportional relationships. Comparing rates. Representing and comparing rates. Rates and proportional relationships. Rate problem with fractions 1. Unit cost with fractions 1. Rate problems 1. Slope of a line. Slope of a Line 2. Slope and Rate of Change. Graphical Slope of a Line. Slope of a Line 3. Slope Example. Hairier Slope of Line. Identifying slope of a line. Slope and Y-intercept Intuition. Line graph intuition. Algebra: Slope. Algebra: Slope 2. Algebra: Slope 3. Graphing a line in slope intercept form. Converting to slope-intercept form. Graphing linear equations. Fitting a Line to Data. Comparing linear functions 1. Comparing linear functions 2. Comparing linear functions 3. Comparing linear functions. Interpreting features of linear functions example. Interpreting features of linear functions example 2. Interpreting features of linear functions. Comparing linear functions applications 1. Comparing linear functions applications 2. Comparing linear functions applications 3. Comparing linear functions applications. Constructing a linear function word problem. Constructing and interpreting a linear function. Constructing linear graphs. Constructing and interpreting linear functions. Multiple examples of constructing linear equations in slope-intercept form. Constructing equations in slope-intercept form from graphs. Constructing linear equations to solve word problems. Linear equation from slope and a point. Finding a linear equation given a point and slope. Equation of a line from fractional slope and point. Constructing the equation of a line given two points. Finding y intercept given slope and point. Solving for the y-intercept. Slope intercept form from table. Slope intercept form. Idea behind point slope form. Linear Equations in Point Slope Form. Point slope form. Linear Equations in Standard Form. Point-slope and standard form. Converting between slope-intercept and standard form. Converting from point slope to slope intercept form. Converting between point-slope and slope-intercept. Finding the equation of a line. Midpoint formula. Midpoint formula. The Pythagorean theorem intro. Pythagorean theorem. Distance Formula. Distance formula. Perpendicular Line Slope. Equations of Parallel and Perpendicular Lines. Parallel Line Equation. Parallel Lines. Parallel Lines 2. Parallel lines 3. Perpendicular Lines. Perpendicular lines 2. Equations of parallel and perpendicular lines. Distance between a point and a line. Distance between point and line. Algebra: Slope and Y-intercept intuition. Algebra: Equation of a line. CA Algebra I: Slope and Y-intercept. Graphing Inequalities. Solving and graphing linear inequalities in two variables 1. Graphing Linear Inequalities in Two Variables Example 2. Graphing Inequalities 2. Graphing linear inequalities in two variables 3. Graphs of inequalities. Graphing linear inequalities. Graphing Inequalities 1. Graphing and solving linear inequalities. CA Algebra I: Graphing Inequalities. Similar triangles to prove that the slope is constant for a line. Slope and triangle similarity 1. Slope and triangle similarity 2. Slope and triangle similarity 3. Slope and triangle similarity 4. Slope and triangle similarity. Average Rate of Change Example 1). Average Rate of Change Example 2). Average Rate of Change Example 3). Average rate of change when function defined by equation. Average rate of change.

Products and technologies that influence and transform the way we live, work, and communicate rely on the development of technical standards. Standards also fuel compatibility and interoperability, reduce costs and risk, simplify product development, enable innovation, hasten time-to-market for new products – and can help determine a company’s global competitiveness. Standards play a vital role in helping consumers understand and compare competing products, and give confidence to investors.

This course will enable learners to better contribute to their organization and to advance their careers. By completing this course, learners will understand:

• different types of standards
• how they impact trade and innovation
• how they evolve
• why companies participate in standards development
• how standards change to meet emerging needs
• how to integrate related activities with other organizational functions
• strategic implications
• how standards apply to product design and planning.

We will also discuss conformity assessment, regulation and intellectual property.

This engineering course offers a practitioner’s view of technical standards and is geared to students and professionals in the fields of engineering, technology, computing, business, economics and law – particularly those working in all facets of product planning, development, and support.

We live in a world of numbers. You see them every day: on clocks, in the stock market, in sports, and all over the news. Algebra is all about figuring out the numbers you don't see. You might know how fast you can throw a ball, but can you use this number to determine how far you can throw it? You might keep track of stock prices, but how can you figure out how much money you've made (or lost) in the market? And you may already know how to tell time, but can you calculate at what times a clock's hour and minute hands are exactly aligned? With algebra, you can answer all of these questions, using the numbers you already know to solve for the unknown. Algebra is an essential tool for all of high school and college-level math, science, and engineering. So if you're starting out in one of these fields and you haven't yet mastered algebra, then this is the course for you!
 
In this course, you'll be able to choose your own path within each lesson, and you can jump between lessons to quickly review earlier material. AlgebraX covers a standard curriculum in high school Algebra I, and CCSS (common core) alignment is indicated where applicable.

Learn more about our High School and AP* Exam Preparation Courses

In 3.072x: Symmetry, Structure, and Tensor Properties of Materials, you will study the underlying structures of materials and deepen your understanding of the relationship between the properties of materials and their structures. Topics include lattices, point groups, and space groups in both two and three dimensions; the use of symmetry in the tensor representation of crystal properties; and the relationship between crystalline structure and properties, including transport properties, piezoelectricity, and elasticity. Two course projects will allow students to explore their particular interests in greater depth.  

FAQ

Who can register for this course?
Unfortunately, learners from Iran, Sudan and the Crimea region of Ukraine will not be able to register for this course at the present time. While edX has received a license from the U.S. Office of Foreign Assets Control (OFAC) to offer courses to learners from Iran and Sudan our license does not cover this course. Separately, EdX has applied for a license to offer courses to learners in the Crimea region of Ukraine, but we are awaiting a determination from OFAC on that application. We are deeply sorry the U.S. government has determined that we have to block these learners, and we are working diligently to rectify this situation as soon as possible.

Understanding absolute value and solving absolute value equations and inequalities. Absolute Value and Number Lines. Absolute Value 1. Absolute Value of Integers. Comparing Absolute Values. CA Algebra I: Number Properties and Absolute Value. Absolute Value Equations. Absolute Value Equations Example 1. Absolute Value Equation Example 2. U02_L2_T2_we1 Absolute Value Equations.avi. Absolute Value Inequalities. Absolute value inequalities Example 1. Absolute Inequalities 2. Absolute value inequalities example 3.

Explore how we have hidden secret messages through history. What is Cryptography?. Probability Space. The Caesar Cipher. Polyalphabetic Cipher. The One-Time Pad. Frequency Stability. The Enigma Encryption Machine (case study). Perfect Secrecy. Pseudorandom Number Generators.

20th century solutions to new problems in Cryptography. The Fundamental Theorem of Arithmetic. Public Key Cryptography: what is it?. The Discrete Logarithm Problem. Diffie-Hellman Key Exchange. RSA Encryption: step 1. RSA Encryption: step 2. RSA Encryption: step 3. Euler's Totient Function. RSA Encryption: step 4. What should we learn next?.

A flow is called hypersonic if the Mach number is greater than 5. This means that the flow speed is more than five times the speed of sound. In air at room temperature, the speed of sound is around 340 m/s, so a Mach 5 flow would have a flow speed of 1.7 km/s or just over 6,000 km/h. When a rocket launches a satellite into earth orbit, when a probe enters the atmosphere of another planet or when an aircraft is propelled by a supersonic combustion ramjet engine (a scramjet), hypersonic flows are encountered. Hypersonics – from Shock Waves to Scramjets introduces the basic concepts associated with flight at speeds greater than Mach 5 and takes students to the stage where they can analyse the performance of a scramjet engine that might be used in a future access-to-space system.

Albert Einstein has become the icon of modern science. Following his scientific, cultural, philosophical, and political trajectory, this course aims to track the changing role of physics in the 20^th and 21^st centuries. This history course addresses Einstein's engagement with relativity, quantum mechanics, Nazism, nuclear weapons, philosophy, the arts, and technology, and raises basic questions about what it means to understand physics in its broader history.
 
Participants in the course will follow seventeen lessons, each of which will present a mix of science (no prerequisites!) and the broader, relevant cultural surround.  Some weeks will examine the physics concepts, while others will see excerpts of films or discuss modernist poetry that took off from relativity. Or we might be looking at the philosophical roots and philosophical consequences of Einstein’s works.  At other times we will be fully engaged with historical and political questions: the building, dropping, and proliferation of nuclear weapons, for example. 
 
Typically, in a lesson (about an hour of streamed material), there will be opportunities for individual mini-essay writing, some multiple choice questions to bolster your understanding of the science, and a group activity which might one week be a debate and another a collective commentary on elements of an artwork from 1920s Weimar Germany.   

HarvardX requires individuals who enroll in its courses on edX to abide by the terms of the edX honor code : https://www.edx.org/edx-terms-service. HarvardX will take appropriate corrective action in response to violations of the edX honor code, which may include dismissal from the HarvardX course; revocation of any certificates received for the HarvardX course; or other remedies as circumstances warrant. No refunds will be issued in the case of corrective action for such violations. Enrollees who are taking HarvardX courses as part of another program will also be governed by the academic policies of those programs.

HarvardX pursues the science of learning. By registering as an online learner in an HX course, you will also participate in research about learning. Read our research statement : http://harvardx.harvard.edu/research-statement to learn more.

Harvard University and HarvardX are committed to maintaining a safe and healthy educational and work environment in which no member of the community is excluded from participation in, denied the benefits of, or subjected to discrimination or harassment in our program. All members of the HarvardX community are expected to abide by Harvard policies on nondiscrimination, including sexual harassment, and the edX Terms of Service. If you have any questions or concerns, please contact harvardx@harvard.edu and/or report your experience through the edX contact form : https://www.edx.org/contact-us.

Why do Primes make some problems fundamentally hard? Build algorithms to find out!. Primality Test. Running Time. Computer Memory (space). Algorithmic Efficiency. Sieve of Eratosthenes. Primality Test with Sieve. The Prime Number Theorem. Time Space Tradeoff. Conditional Probability Visualized.

The math behind human, animal and machine communication. What is Information Theory?. Prehistory: Proto-writing. Ptolemaic: Rosetta Stone. Ancient History: The Alphabet. Source Encoding. Visual Telegraphs (case study).

Understanding and using negative numbers. Negative Numbers Introduction. Ordering Negative Numbers. Adding Negative Numbers. Adding integers with different signs. Adding/Subtracting negative numbers. Multiplying Positive and Negative Numbers. Dividing Positive and Negative Numbers. Why a Negative Times a Negative is a Positive.

Understanding fractions conceptually, using operations with fractions, and converting fractions. Introduction to fractions. Identifying Fraction Parts. Recognizing fractions exercise. Recognizing fractions 0.5. Numerator and Denominator of a Fraction. Identifying numerators and denominators. Plotting basic fractions on the number line. Fractions on the number line 1. Fraction word problems 1 exercise. Fraction word problems 1. Visualizing equivalent fractions. Equivalent fraction word problem example. Equivalent fraction word problem example 2. Equivalent fraction word problem example 3. Visualizing equivalent fractions. Fractions cut and copy 1 exercise. Fractions cut and copy 1. Fractions in lowest terms. Simplifying fractions. Equivalent fractions. Equivalent Fractions Example. Finding Common Denominators. Equivalent fractions. Equivalent fractions 2. Comparing Fractions. Comparing Fractions 2. Comparing fractions 1. Comparing fractions 2. Ordering Fractions. Ordering fractions. Decomposing a fraction visually. Decomposing a mixed number. Adding up to a fraction drag and drop example. Decomposing fractions. Adding Fractions with Like Denominators. Adding fractions with common denominators. Subtracting Fractions. Subtracting fractions with common denominators. Adding and subtracting fractions. Adding Fractions with Unlike Denominators. Adding fractions (ex 1). Adding fractions. Subtracting fractions with unlike denominators. Subtracting fractions. Adding and subtracting fractions. Adding fractions with different signs. Adding fractions examples. What fraction of spider eyes are looking at me?. How much more piano practice?. How long is this lizard?. Adding and subtracting fractions with like denominators word problems. Adding fractions with unlike denominators word problem. Subtracting fractions with unlike denominators word problem. Adding and subtracting fractions with unlike denominators word problems. Multiplying fractions and whole numbers. Multiplying fractions by integers. Multiplying a fraction by a fraction. Multiplying Fractions. Multiplying fractions 0.5. Multiplying negative and positive fractions. Multiplying fractions. Multiplying fractions by whole numbers word problems. Multiplication as scaling. Fraction multiplication as scaling. Creating a fraction through division of whole numbers. My share of soap as a mixed number on a number line. Understanding fractions as division. Putting out bowls of potpurri. Spending the weekend studying. How many t-shirts can I make?. Dividing fractions by whole numbers. Dividing whole numbers by fractions. Division with fractions and whole numbers word problems. Examples of dividing negative fractions. Dividing fractions. Dividing Fractions Example. Dividing positive and negative fractions. Dividing fractions word problems. Dividing fractions word problems 2. How long will three movies last?. My family loves milk. We must have eaten more pie!. Multiplying fractions and whole numbers word problems. Making banana oat muffins...mmm. How much laundry detergent left?. Biking to a friend. Multiplying fractions by fractions word problems. Comparing improper fractions and mixed numbers. Mixed numbers and improper fractions. Proper and Improper Fractions. Converting Mixed Numbers to Improper Fractions. Changing a Mixed Number to an Improper Fraction. Changing an Improper Fraction to a Mixed Number. Converting mixed numbers and improper fractions. Positive improper fractions on the number line. Fractions on the number line 2. Ordering improper fractions and mixed numbers. Comparing improper fractions and mixed numbers. Ordering improper fractions and mixed numbers. Fractions cut and copy 2 exercise example. Fractions cut and copy 2. Points on a number line. Fractions on the number line 3. Adding Mixed Numbers. Adding Mixed Numbers with Unlike Denominators. Adding Mixed Numbers Word Problem. Subtracting Mixed Numbers. Subtracting Mixed Numbers 2. Subtracting Mixed Numbers Word Problem. Adding and subtracting mixed numbers 0.5 (ex 1). Adding and subtracting mixed numbers 0.5 (ex 2). Adding and subtracting mixed numbers 0.5. Adding and subtracting mixed numbers 1 (ex 1). Adding and subtracting mixed numbers 1 (ex 2). Adding and subtracting mixed numbers 1. Multiplying Fractions and Mixed Numbers. Multiplying Mixed Numbers. Multiplying mixed numbers 1. Reciprocal of a Mixed Number. Dividing Mixed Numbers. Dividing Mixed Numbers and Fractions. Decimals and Fractions. Converting Fractions to Decimals Example. Converting fractions to decimals (ex1). Converting fractions to decimals (ex2). Converting fractions to decimals. Converting fractions to decimals. Representing a number as a decimal, percent, and fraction 2. Representing a number as a decimal, percent, and fraction. Converting decimals to fractions 1 (ex 1). Converting decimals to fractions 1 (ex 2). Converting decimals to fractions 1 (ex 3). Converting decimals to fractions 1. Converting decimals to fractions 2 (ex 1). Converting decimals to fractions 2 (ex 2). Converting decimals to fractions 2. Ordering numeric expressions. Ordering numbers. Converting a fraction to a repeating decimal. Writing fractions as repeating decimals. Number Sets. Number Sets 1. Number Sets 2. Number Sets 3. Introduction to fractions. Identifying Fraction Parts. Recognizing fractions exercise. Recognizing fractions 0.5. Numerator and Denominator of a Fraction. Identifying numerators and denominators. Plotting basic fractions on the number line. Fractions on the number line 1. Fraction word problems 1 exercise. Fraction word problems 1. Visualizing equivalent fractions. Equivalent fraction word problem example. Equivalent fraction word problem example 2. Equivalent fraction word problem example 3. Visualizing equivalent fractions. Fractions cut and copy 1 exercise. Fractions cut and copy 1. Fractions in lowest terms. Simplifying fractions. Equivalent fractions. Equivalent Fractions Example. Finding Common Denominators. Equivalent fractions. Equivalent fractions 2. Comparing Fractions. Comparing Fractions 2. Comparing fractions 1. Comparing fractions 2. Ordering Fractions. Ordering fractions. Decomposing a fraction visually. Decomposing a mixed number. Adding up to a fraction drag and drop example. Decomposing fractions. Adding Fractions with Like Denominators. Adding fractions with common denominators. Subtracting Fractions. Subtracting fractions with common denominators. Adding and subtracting fractions. Adding Fractions with Unlike Denominators. Adding fractions (ex 1). Adding fractions. Subtracting fractions with unlike denominators. Subtracting fractions. Adding and subtracting fractions. Adding fractions with different signs. Adding fractions examples. What fraction of spider eyes are looking at me?. How much more piano practice?. How long is this lizard?. Adding and subtracting fractions with like denominators word problems. Adding fractions with unlike denominators word problem. Subtracting fractions with unlike denominators word problem. Adding and subtracting fractions with unlike denominators word problems. Multiplying fractions and whole numbers. Multiplying fractions by integers. Multiplying a fraction by a fraction. Multiplying Fractions. Multiplying fractions 0.5. Multiplying negative and positive fractions. Multiplying fractions. Multiplying fractions by whole numbers word problems. Multiplication as scaling. Fraction multiplication as scaling. Creating a fraction through division of whole numbers. My share of soap as a mixed number on a number line. Understanding fractions as division. Putting out bowls of potpurri. Spending the weekend studying. How many t-shirts can I make?. Dividing fractions by whole numbers. Dividing whole numbers by fractions. Division with fractions and whole numbers word problems. Examples of dividing negative fractions. Dividing fractions. Dividing Fractions Example. Dividing positive and negative fractions. Dividing fractions word problems. Dividing fractions word problems 2. How long will three movies last?. My family loves milk. We must have eaten more pie!. Multiplying fractions and whole numbers word problems. Making banana oat muffins...mmm. How much laundry detergent left?. Biking to a friend. Multiplying fractions by fractions word problems. Comparing improper fractions and mixed numbers. Mixed numbers and improper fractions. Proper and Improper Fractions. Converting Mixed Numbers to Improper Fractions. Changing a Mixed Number to an Improper Fraction. Changing an Improper Fraction to a Mixed Number. Converting mixed numbers and improper fractions. Positive improper fractions on the number line. Fractions on the number line 2. Ordering improper fractions and mixed numbers. Comparing improper fractions and mixed numbers. Ordering improper fractions and mixed numbers. Fractions cut and copy 2 exercise example. Fractions cut and copy 2. Points on a number line. Fractions on the number line 3. Adding Mixed Numbers. Adding Mixed Numbers with Unlike Denominators. Adding Mixed Numbers Word Problem. Subtracting Mixed Numbers. Subtracting Mixed Numbers 2. Subtracting Mixed Numbers Word Problem. Adding and subtracting mixed numbers 0.5 (ex 1). Adding and subtracting mixed numbers 0.5 (ex 2). Adding and subtracting mixed numbers 0.5. Adding and subtracting mixed numbers 1 (ex 1). Adding and subtracting mixed numbers 1 (ex 2). Adding and subtracting mixed numbers 1. Multiplying Fractions and Mixed Numbers. Multiplying Mixed Numbers. Multiplying mixed numbers 1. Reciprocal of a Mixed Number. Dividing Mixed Numbers. Dividing Mixed Numbers and Fractions. Decimals and Fractions. Converting Fractions to Decimals Example. Converting fractions to decimals (ex1). Converting fractions to decimals (ex2). Converting fractions to decimals. Converting fractions to decimals. Representing a number as a decimal, percent, and fraction 2. Representing a number as a decimal, percent, and fraction. Converting decimals to fractions 1 (ex 1). Converting decimals to fractions 1 (ex 2). Converting decimals to fractions 1 (ex 3). Converting decimals to fractions 1. Converting decimals to fractions 2 (ex 1). Converting decimals to fractions 2 (ex 2). Converting decimals to fractions 2. Ordering numeric expressions. Ordering numbers. Converting a fraction to a repeating decimal. Writing fractions as repeating decimals. Number Sets. Number Sets 1. Number Sets 2. Number Sets 3.

Understanding, solving, and converting percents. Describing the Meaning of Percent. Describing the Meaning of Percent 2. Representing a number as a decimal, percent, and fraction. Converting decimals to percents (ex 1). Converting decimals to percents (ex 2). Identifying Percent Amount and Base. Solving Percent Problems. Solving Percent Problems 2. Solving Percent Problems 3. Growing by a percentage. Representing a number as a decimal, percent, and fraction 2. Ordering numeric expressions.

Matrix Algebra underlies many of the current tools for experimental design and the analysis of high-dimensional data. In this introductory data analysis course, we will use matrix algebra to represent the linear models that commonly used to model differences between experimental units. We perform statistical inference on these differences. Throughout the course we will use the R programming language.

Given the diversity in educational background of our students we have divided the series into seven parts. You can take the entire series or individual courses that interest you. If you are a statistician you should consider skipping the first two or three courses, similarly, if you are biologists you should consider skipping some of the introductory biology lectures. Note that the statistics and programming aspects of the class ramp up in difficulty relatively quickly across the first three courses. By the third course will be teaching advanced statistical concepts such as hierarchical models and by the fourth advanced software engineering skills, such as parallel computing and reproducible research concepts.

These courses make up 2 XSeries and are self-paced:

PH525.1x: Statistics and R for the Life Sciences

PH525.2x: Introduction to Linear Models and Matrix Algebra

PH525.3x: Statistical Inference and Modeling for High-throughput Experiments

PH525.4x: High-Dimensional Data Analysis

PH525.5x: Introduction to Bioconductor: annotation and analysis of genomes and genomic assays 

PH525.6x: High-performance computing for reproducible genomics

PH525.7x: Case studies in functional genomics

HarvardX requires individuals who enroll in its courses on edX to abide by the terms of the edX honor code. HarvardX will take appropriate corrective action in response to violations of the edX honor code, which may include dismissal from the HarvardX course; revocation of any certificates received for the HarvardX course; or other remedies as circumstances warrant. No refunds will be issued in the case of corrective action for such violations. Enrollees who are taking HarvardX courses as part of another program will also be governed by the academic policies of those programs.

HarvardX pursues the science of learning. By registering as an online learner in an HX course, you will also participate in research about learning. Read our research statement to learn more.

Harvard University and HarvardX are committed to maintaining a safe and healthy educational and work environment in which no member of the community is excluded from participation in, denied the benefits of, or subjected to discrimination or harassment in our program. All members of the HarvardX community are expected to abide by Harvard policies on nondiscrimination, including sexual harassment, and the edX Terms of Service. If you have any questions or concerns, please contact harvardx@harvard.edu and/or report your experience through the edX contact form.

In this hands-on course, you’ll learn how to perform engineering simulations using a powerful tool from ANSYS, Inc. This is a problem-based course where you’ll learn by doing. The focus will be on understanding what’s under the blackbox so as to move beyond garbage-in, garbage-out. You’ll practice using a common solution approach to problems involving different physics: structural mechanics, fluid dynamics and heat transfer.

We’ll solve textbook examples to understand the fundamental principles of finite-element analysis and computational fluid dynamics. Then we’ll apply these principles to simulate real-world examples in the tool including a bolted rocket assembly and a wind turbine rotor.We’ll discuss current industry practices with a SpaceX engineer. By working through examples in a leading simulation tool that professionals use, you’ll learn to move beyond button pushing and start thinking like an expert.

This course teaches fundamental concepts and tool use in an integrated fashion using the power of online learning. All learners will have access to a free download of ANSYS Student.

Join us to discover why simulations have changed how engineering is done and how you can be a part of this revolution.

Understanding and solving exponents without algebra. Understanding Exponents. Understanding Exponents 2. Level 1 Exponents. Level 2 Exponents. Level 3 exponents. Exponent Rules Part 1. Exponent Rules Part 2.