# Online courses directory (258)

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.

Extending our understanding of numbers below 0. Thinking about "absolute" distance from 0. Negative Numbers Introduction. Negative numbers on the number line. Number line 3. Ordering Negative Numbers. Ordering negative numbers. Number opposites. Number opposites. Negative Numbers Introduction. Number opposites. Example: Adding negative numbers. Example: Adding integers with different signs. Adding negative numbers. Adding and subtracting negative number examples. Why Subtracting a Negative Equivalent to Adding a Positive. Adding and subtracting negative numbers. Negative number word problems 1. Negative number word problems. Adding decimals of different signs word problem. Adding/Subtracting negative numbers. Multiplying Positive and Negative Numbers. Why a Negative Times a Negative is a Positive. Why a Negative Times a Negative Makes Intuitive Sense. Dividing Positive and Negative Numbers. Example: Multiplying numbers with different signs. Multiplying and dividing negative numbers. Multiplying and dividing negative numbers. Absolute Value and Number Lines. Absolute Value 1. Finding absolute values. Absolute Value of Integers. Comparing Absolute Values. Comparing absolute values. Absolute value word problems exercise. Absolute value word problems. Constructing and interpreting absolute value. Constructing and interpreting absolute value. Negative Numbers Introduction. Negative numbers on the number line. Number line 3. Ordering Negative Numbers. Ordering negative numbers. Number opposites. Number opposites. Negative Numbers Introduction. Number opposites. Example: Adding negative numbers. Example: Adding integers with different signs. Adding negative numbers. Adding and subtracting negative number examples. Why Subtracting a Negative Equivalent to Adding a Positive. Adding and subtracting negative numbers. Negative number word problems 1. Negative number word problems. Adding decimals of different signs word problem. Adding/Subtracting negative numbers. Multiplying Positive and Negative Numbers. Why a Negative Times a Negative is a Positive. Why a Negative Times a Negative Makes Intuitive Sense. Dividing Positive and Negative Numbers. Example: Multiplying numbers with different signs. Multiplying and dividing negative numbers. Multiplying and dividing negative numbers. Absolute Value and Number Lines. Absolute Value 1. Finding absolute values. Absolute Value of Integers. Comparing Absolute Values. Comparing absolute values. Absolute value word problems exercise. Absolute value word problems. Constructing and interpreting absolute value. Constructing and interpreting absolute value.

Defining and using the commutative, associative, distributive, identity, and inverse properties. Commutative Law of Addition. Commutative Law of Multiplication. Associative Law of Addition. Associative Law of Multiplication. Commutative Property for Addition. The Distributive Property. The Distributive Property 2. Distributive Property Example 1. CA Algebra I: Number Properties and Absolute Value. Identity Property of 1. Identity property of 1 (second example). Identity property of 0. Inverse Property of Addition. Inverse Property of Multiplication. Why Dividing by Zero is Undefined. Why Zero Divided by Zero is Undefined/Indeterminate. Undefined and Indeterminate.

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.

Solving and writing ratios and proportions without algebra. Introduction to Ratios (new HD version). Understanding Proportions. Ratios as Fractions in Simplest Form. Simplifying Rates and Ratios. Find an Unknown in a Proportion 2. Finding Unit Rates. Finding Unit Prices. Unit conversion. Converting units of length. Conversion between metric units. U.S. Customary and Metric units. Converting within the metric system. Converting Gallons to quarts pints and cups. Converting pounds to ounces. Comparing Celsius and Farenheit temperature scales. Converting Fahrenheit to Celsius. Speed translation.

Introduction to Ratios (new HD version). Ratios as Fractions in Simplest Form. Simplifying Rates and Ratios. Expressing ratios as fractions. Describing ratios exercise. Describing ratios. Ratio word problem exercise example 1. Ratio word problem exercise example 2. Ratio word problems. Proportion validity example. Solving ratio problems with tables exercise. Solving ratio problems with tables exercise 2. Solving ratio problems with tables exercise 3. Solving ratio problems with tables. Usain Bolt's Average Speed. Finding Unit Rates. Finding Unit Prices. Rate problems 0.5. Multiple rates word problem. Rate problems 2. Converting pounds to ounces. Converting Gallons to quarts pints and cups. Converting Yards into Inches. Performing arithmetic calculations on units of volume. Application problems involving units of weight. Solving application problems involving units of volume. Gas cost for a roadtrip. Squirrel survival. Converting units of length. Unit Conversion Example: Drug Dosage. Unit Conversion with Fractions. Units. Speed translation. Unit conversion within the metric system. Converting within the metric system. Perimeter and Unit Conversion. Applying the Metric System. Conversion between metric units. U.S. Customary and Metric units. Converting Fahrenheit to Celsius. Comparing Celsius and Farenheit temperature scales. Introduction to Ratios (new HD version). Ratios as Fractions in Simplest Form. Simplifying Rates and Ratios. Expressing ratios as fractions. Describing ratios exercise. Describing ratios. Ratio word problem exercise example 1. Ratio word problem exercise example 2. Ratio word problems. Proportion validity example. Solving ratio problems with tables exercise. Solving ratio problems with tables exercise 2. Solving ratio problems with tables exercise 3. Solving ratio problems with tables. Usain Bolt's Average Speed. Finding Unit Rates. Finding Unit Prices. Rate problems 0.5. Multiple rates word problem. Rate problems 2. Converting pounds to ounces. Converting Gallons to quarts pints and cups. Converting Yards into Inches. Performing arithmetic calculations on units of volume. Application problems involving units of weight. Solving application problems involving units of volume. Gas cost for a roadtrip. Squirrel survival. Converting units of length. Unit Conversion Example: Drug Dosage. Unit Conversion with Fractions. Units. Speed translation. Unit conversion within the metric system. Converting within the metric system. Perimeter and Unit Conversion. Applying the Metric System. Conversion between metric units. U.S. Customary and Metric units. Converting Fahrenheit to Celsius. Comparing Celsius and Farenheit temperature scales.

En este curso se recordará lo que es una ecuación con una única incógnita y cómo solucionarla. A partir de ahí se tratarán:

- Los sistemas de ecuaciones lineales. Cómo se definen, cómo se clasifican y cómo se resuelven utilizando el método de Gauss
- El concepto de matriz y las operaciones entre matrices
- El cálculo de matrices inversas mediante el método de Gauss y el de los adjuntos
- Una introducción a las ecuaciones matriciales
- El determinante de una matriz cuadrada y su cálculo
- El rango de una matriz
- La expresión matricial de un sistema de ecuaciones lineales y la regla de Cramer

This course is a review of Basic Arithmetic skills that serve as a prerequisite for placement into and success in pre-college and college-level algebra courses. In this course, primary emphasis will be placed on fundamental operations with whole numbers, fractions, decimals, and integers. Other topics covered include proportions, percentages, representations of data, geometric figures, and measurement. Students who should take this course include: those that have an interest in brushing up on arithmetic skills prior to taking an upcoming placement test or those that have not had math in many years and want to review foundational skills and concepts. This course provides free digital access to all required materials including a student workbook, lesson videos, and online homework practice and assessment. A certificate of completion will be awarded by the instructor to students who complete required activities. The course instructor recommends purchase of a textbook or other course materials. Please see the details below. Required materials: Basic Arithmetic Student Workbook Purchase Info: Hard copy at Lulu.com or access via free digital download. Approximate cost for hard copy: $15

This is an introductory course in biochemistry, designed for both biology and chemical engineering majors. A consistent theme in this course is the development of a quantitative understanding of the interactions of biological molecules from a structural, thermodynamic, and molecular dynamic point of view. A molecular simulation environment provides the opportunity for you to explore the effect of molecular interactions on the biochemical properties of systems. This course assumes that students have taken introductory chemistry, including basic thermodynamics, as well as introductory organic chemistry. An introductory biology course is not a prerequisite for the course, but students would benefit from some prior exposure to biology, even at the high school level. Required mathematical skills include simple algebra and differential calculus.

Podemos afirmar sin temor a equivocarnos que un buen curso de Cálculo amplía la visión del estudiante en su campo y en su área de estudio, que no pertenece necesariamente al área de física o matemática, por ejemplo en fisiología para estudiantes de medicina.

El Cálculo Diferencial es el lenguaje en el que algunas leyes de la naturaleza se expresan, por ejemplo: nos permite describir el movimiento y el cálculo de trayectorias en dinámica, nos ayuda a resolver problemas de áreas y volúmenes, a resolver problemas extremales en campos como economía y matemática financiera.

En este curso se presentan los conceptos y demostraciones con extrema precisión y cuidado; se hace énfasis en los fundamentos del Cálculo para que lo que se enseña quede fundamentado y claramente explicado.

Se estudia el cálculo diferencial de funciones de variable real, por lo tanto, se parte de una estructura algebraica de los números reales, Se utilizan conceptos puramente métricos, se introduce el concepto de distancia para explicar que nos vamos acercando a algo, es decir, se define la estructura del espacio métrico que da paso al primer tema sucesiones de números reales continúa con sucesiones convergentes, límite funcional, continuidad y la derivada de una función hasta llegar a problemas de aplicación.

Este curso está en modalidad “self-paced”, es decir, “a tu propio ritmo de aprendizaje”. ¿Qué significa esto? Que puedes empezar el curso cuando quieras y seguirlo a tu ritmo ya que no hay fecha prevista de cierre o apertura de lecciones, no sigue un calendario establecido; los trabajos y exámenes no tienen fecha de inicio o entrega, puedes enviarlos en cualquier momento antes de la fecha de finalización del curso.

Esperamos que este curso de Cálculo Diferencial logre cambiar la percepción de los estudiantes en cuanto a su aplicación e importancia.

CA Algebra I: Number Properties and Absolute Value. CA Algebra I: Simplifying Expressions. CA Algebra I: Simple Logical Arguments. CA Algebra I: Graphing Inequalities. CA Algebra I: Slope and Y-intercept. CA Algebra I: Systems of Inequalities. CA Algebra I: Simplifying Expressions. CA Algebra I: Factoring Quadratics. CA Algebra I: Completing the Square. CA Algebra I: Quadratic Equation. CA Algebra I: Quadratic Roots. CA Algebra I: Rational Expressions 1. CA Algebra I: Rational Expressions 2. CA Algebra I: Word Problems. CA Algebra I: More Word Problems. CA Algebra I: Functions.

California Standards Test: Algebra II. California Standards Test: Algebra II (Graphing Inequalities). CA Standards: Algebra II (Algebraic Division/Multiplication). CA Standards: Algebra II. Algebra II: Simplifying Polynomials. Algebra II: Imaginary and Complex Numbers. Algebra II: Complex numbers and conjugates. Algebra II: Quadratics and Shifts. Examples: Graphing and interpreting quadratics. Hyperbola and parabola examples. Algebra II: Circles and Logarithms. Algebra II: Logarithms Exponential Growth. Algebra II: Logarithms and more. Algebra II: Functions, Combinatorics. Algebra II: binomial Expansion and Combinatorics. Algebra II: Binomial Expansions, Geometric Series Sum. Algebra II: Functions and Probability. Algebra II: Probability and Statistics. Algebra II: Mean and Standard Deviation.

We will explain how to start with raw data, and perform the standard processing and normalization steps to get to the point where one can investigate relevant biological questions. Throughout the case studies, we will make use of exploratory plots to get a general overview of the shape of the data and the result of the experiment. We start with RNA-seq data analysis covering basic concepts of RNA-seq and a first look at FASTQ files. We will also go over quality control of FASTQ files; aligning RNA-seq reads; visualizing alignments and move on to analyzing **RNA-seq at the gene-level**: counting reads in genes; Exploratory Data Analysis and variance stabilization for counts; count-based differential expression; normalization and batch effects. Finally, we cover **RNA-seq at the transcript-level**: inferring expression of transcripts (i.e. alternative isoforms); differential exon usage. We will learn the basic steps in analyzing DNA methylation data, including reading the raw data, normalization, and finding regions of differential methylation across multiple samples. The course will end with a brief description of the basic steps for analyzing ChIP-seq datasets, from read alignment, to peak calling, and assessing differential binding patterns across multiple samples.

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

This class was supported in part by NIH grant R25GM114818.

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 the PH525 case studies, we will explore the data analysis of an experimental protocol in depth, using various open source software, including R and Bioconductor. We will explain how to start with raw data, and perform the standard processing and normalization steps to get to the point where one can investigate relevant biological questions. Throughout the case studies, we will make use of exploratory plots to get a general overview of the shape of the data and the result of the experiment.

We will learn the basic steps in analyzing DNA methylation data, including reading the raw data, normalization, and finding regions of differential methylation across multiple samples.

This class was supported in part by NIH grant R25GM114818.

This course is part of a larger set of 8 total courses running Self-Paced through **September 15th, 2015**:

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

algebra-harvardx-ph525-2x">PH525.2x: Introduction to Linear Models and Matrix Algebra

PH525.3x: Advanced Statistics for the Life Sciences

PH525.4x: Introduction to Bioconductor

PH525.5x: Case study: RNA-seq data analysis

PH525.6x: Case study: Variant Discovery and Genotyping

PH525.7x: Case study: ChIP-seq data analysis

PH525.8x: Case study: DNA methylation data analysis

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.

Math is everywhere. In this class, you’ll gain an in-depth understanding of algebraic principles, many of which you may have seen before, and learn how to use them to solve problems that we encounter in everyday life. The online version of College Algebra will cover all of the topics that you would see in more traditional class formats, but it will present the material in a way that we hope you’ll find fresh and interesting. You will learn about functions, polynomials, graphing, complex numbers, exponential and logarithmic equations, and much more, all through exploring real-world scenarios.

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