This course introduces the history of the Age of Revolutions in the Atlantic World from 1776 to 1848. Running alongside and extending beyond these political revolutions is the First Industrial Revolution. The Atlantic World, dominated by European empires in 1776, was transformed through revolution into a series of independent states by 1848, experiencing profound changes through the development and consolidation of capitalism. Upon successful completion of this course, the student will be able to: think analytically about the history of the revolutionary age between 1776 and 1848; define what a revolution" means as well as describe what made 1776-1848 an "age of revolution"; define the concept of the Atlantic World and describe its importance in World History; explain the basic intellectual and technical movements associated with the Enlightenment and their relations to the revolutionary movements that follow; identify and describe the causes of the American Revolution; identify and describe the many stages of the French Revolution: the end of absolutist monarchy, the implementation of constitutional monarchy, and the rise of the Jacobin Republic; compare and contrast the Declaration of the Rights of Man and other major statements of the Revolutionary period and Enlightenment thinking; identify and describe the impact of the first successful slave rebellion in world history--the Haitian Revolution; compare and contrast the debate between Edmund Burke and Thomas Paine; analyze and interpret primary source documents that elucidate the causes and effects of the Age of Revolutions. This free course may be completed online at any time. (History 303)
Prepare yourself to take an Algebra course with the Algebra2go䋢 prealgebra resources page. Whether you are attending Saddleback College's prealgebra class (math 351), taking a prealgebra class at another school, or need to refresh your math skills for a business or science class, Professor Perez and his favorite student Charlie have the tools that can help you. We have five primary types of study materials: class notes, video worksheets, video lectures, practice problems, and practice quizzes. For some topics we have some additional tools to assist you.
Part of the course for community college students featuring Professor Perez and his student Charlie, teaching about decimal concepts and operations.
Ancient History Encyclopedia is a non-profit educational website with a global vision: to provide the best ancient history information on the internet for free.
In this lesson plan, students will learn about the 12 animals of the Chinese zodiac. In the introductory first lesson, they will see how animals are often used as symbols. In the second lesson, they will hear one of several versions of how the 12 animals were chosen. They will then focus upon a few of the animals in the story and see how they can be used as symbols of certain human characteristics. In the third lesson, they will be introduced to the other animals of the zodiac, and they will be given a chart on which they will assign traits to each animal. Then they will consult a number of websites to find the traits traditionally associated with the animals, which they will add to their list. Then, they will come up with a number of ways to compare and contrast the animals in the list. In the third lesson, they will focus upon the animal associated with the year of their birth, learning about its traits and discussing whether or not these apply to themselves and their peers. Finally, each student will make an acrostic, combining the letters of his or her first name with adjectives that relate to his or her zodiac sign.
Focuses on modeling, quantification, and analysis of uncertainty by teaching random variables, simple random processes and their probability distributions, Markov processes, limit theorems, elements of statistical inference, and decision making under uncertainty. This course extends the discrete probability learned in the discrete math class. It focuses on actual applications, and places little emphasis on proofs. A problem set based on identifying tumors using MRI (Magnetic Resonance Imaging) is done using Matlab.
This course is an exploration of visual art forms and their cultural connections for the student with little experience in the visual arts. It includes a brief study of art history and in depth studies of the elements, media, and methods used in creative processes and thought. Upon successful completion of this course, students will be able to: interpret examples of visual art using a five-step critical process that includes description, analysis, context, meaning, and judgment; identify and describe the elements and principles of art; use analytical skills to connect formal attributes of art with their meaning and expression; explain the role and effect of the visual arts in societies, history, and other world cultures; articulate the political, social, cultural, and aesthetic themes and issues that artists examine in their work; identify the processes and materials involved in art and architectural production; utilize information to locate, evaluate, and communicate information about visual art in its various forms. Note that this course is an alternative to the Saylor FoundationĺÎĺ_ĺĚĺ_s ARTH101A and has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. This free course may be completed online at any time. (Art History 101B)
Introductory survey of quantitative methods (QM), or the application of statistics in the workplace. Examines techniques for gathering, analyzing, and interpreting data in any number of fieldsĺÎĺ from anthropology to hedge fund management.
Table of Contents
1.0 Using This Book
2.0 Strand 1: Structure and Motion Within the Solar System
3.0 Strand 2: Energy and Matter
4.0 Strand 3: Weather Patterns
5.0 Strand 4: Ecosystems
This Geometry Concept Collection is a rigorous presentation of high school geometry. It is fully correlated with the Common Core State Standards.
This course is an introduction to the calculus of functions of several variables. It begins with studying the basic objects of multidimensional geometry: vectors and vector operations, lines, planes, cylinders, quadric surfaces, and various coordinate systems. It continues with the elementary differential geometry of vector functions and space curves. After this, it extends the basic tools of differential calculus - limits, continuity, derivatives, linearization, and optimization - to multidimensional problems. The course will conclude with a study of integration in higher dimensions, culminating in a multidimensional version of the substitution rule.
This contemporary calculus course is the third in a three-part sequence. In this course students continue to explore the concepts, applications, and techniques of Calculus - the mathematics of change. Calculus has wide-spread application in science, economics and engineering, and is a foundation college course for further work in these areas. This is a required class for most science and mathematics majors.Login: guest_oclPassword: ocl
This contemporary calculus course is the second in a three-part sequence. In this course students continue to explore the concepts, applications, and techniques of Calculus - the mathematics of change. Calculus has wide-spread application in science, economics and engineering, and is a foundation college course for further work in these areas. This is a required class for most science and mathematics majors.Login: guest_oclPassword: ocl
Topics in this course include transcendental functions, techniques of integration, applications of the integral, improper integrals, l'Hospital's rule, sequences, and series.
This course is an introduction to contemporary calculus and is the first of a three-part sequence. In this course students explore the concepts, applications, and techniques of Calculus - the mathematics of change. Calculus has wide-spread application in science, economics and engineering, and is a foundation college course for further work in these areas. This is a required class for most science and mathematics majors.Login: guest_oclPassword: ocl
This course is an introduction to differential and integral calculus. It begins with a short review of basic concepts surrounding the notion of a function. Then it introduces the important concept of the limit of a function, and use it to study continuity and the tangent problem. The solution to the tangent problem leads to the study of derivatives and their applications. Then it considers the area problem and its solution, the definite integral. The course concludes with the calculus of elementary transcendental functions.
The University of California, Irvine Extension, supported by generous grants from the William and Flora Hewlett Foundation and The Boeing Company, is developing online courses to prepare science and mathematics teachers for the California Subject Examinations for Teachers (CSET).
UC Irvine Extension's online test-preparation courses correspond with the 10 CSET science subtests and three CSET mathematics subtests.
This course covered the mathematical topics most directly related to computer science. Topics included: logic, relations, functions, basic set theory, countability and counting arguments, proof techniques, mathematical induction, graph theory, combinatorics, discrete probability, recursion, recurrence relations, and number theory. Emphasis will be placed on providing a context for the application of the mathematics within computer science. The analysis of algorithms requires the ability to count the number of operations in an algorithm. Recursive algorithms in particular depend on the solution to a recurrence equation, and a proof of correctness by mathematical induction. The design of a digital circuit requires the knowledge of Boolean algebra. Software engineering uses sets, graphs, trees and other data structures. Number theory is at the heart of secure messaging systems and cryptography. Logic is used in AI research in theorem proving and in database query systems. Proofs by induction and the more general notions of mathematical proof are ubiquitous in theory of computation, compiler design and formal grammars. Probabilistic notions crop up in architectural trade-offs in hardware design.
This course introduces the history of the Middle East and Southwest Asia from the pre-Islamic period to the end of World War I. Upon successful completion of this course, the student will be able to: discuss the history of East Asia from the pre-Islamic period through the beginning of the 20th century; analyze the interactions between ancient civilizations of the Middle East and Southwest Asia in the pre-Islamic period; identify the origins of Islam, and assess the political and cultural impact of the Muslim faith on the peoples of the Middle East and the Mediterranean Basin; identify the origins of the Umayyad and Abbasid Empires, and assess how these dynasties reshaped political and economic life throughout the Middle East and Southwest Asia; describe and assess the social and cultural impact of Islam on the peoples of the Middle East and the Mediterranean Basin; identify external threats to the Muslim world during the Middle Ages, and analyze how Muslim leaders responded to these threats; identify the origins of the Ottoman Empire, and assess how the Ottomans established political and economic control over the Eastern Mediterranean and the Middle East; analyze the political, economic, and military interactions between the Ottoman Empire and the nations of Europe in the 18th and 19th centuries; explain how European imperialism destabilized the Middle East and Southwest Asia in the 19th and early 20th centuries and allowed European nations to establish political control over many Middle Eastern nations; analyze the political impact of World War I on the peoples and nations of the Middle East; analyze and interpret primary source documents from the pre-Islamic period through the beginning of the 20th century using historical research methods. This free course may be completed online at any time. (History 231)
This course will focus on the history of mankind's relationship with the natural world. The student will examine how environmental factors have shaped the development and growth of civilizations around the world and analyze how these civilizations have altered their environments in positive and negative ways. By the end of the course, the student will better understand the reciprocal relationship between human beings and the natural environment and how this relationship has evolved throughout human history. Upon successful completion of this course, the student will be able to: think critically about the historical relationship between humans and the natural environment; identify how early humans modified and adapted natural resources for agricultural and commercial purposes; analyze how human settlements altered the natural environment and evaluate how environmental factors shaped the growth of early civilizations; evaluate how new agricultural and commercial practices altered the natural environment across the globe during the Middle Ages; identify how environmental factors, such as disease and pollution, shaped political and social life in Europe during the Early-Modern Era; evaluate how the Columbian Exchange resulted in significant ecological and biological changes in Europe and the Americas and dramatically altered human societies on both sides of the Atlantic Ocean; analyze the impact of industrialization on human society during the Modern Era and evaluate how governmental and nongovernmental actors have attempted to ameliorate the negative environmental consequences of industrialization; identify current environmental challenges facing humanity and analyze these challenges from a historical perspective; analyze and interpret primary and secondary source documents relating to environmental history using historical research methods. (History 364)
In this course, you will study the relationships between lines and angles. You will learn to calculate how much space an object covers, determine how much space is inside of a three-dimensional object, and other relationships between shapes, objects, and the mathematics that govern them.
In order to assist educators with the implementation of the Common Core, the New York State Education Department provides curricular modules in P-12 English Language Arts and Mathematics that schools and districts can adopt or adapt for local purposes. The full year of Grade 7 Mathematics curriculum is available from the module links.
This course introduces the history of Africa from 300,000 BCE to the era of European imperialism in the nineteenth century. The story continues in HIST 252, which covers the last 120 years of African history. Upon successful completion of this course, the student will be able to: locate major regions, geographic features, and populations in Africa and label them on a map; identify major events and trends in the history of Africa prior to 1890 that describe change over time; demonstrate the impact of the African environment on human history in Africa and explain how humans in turn changed that environment; compare and contrast the diverse social and political structures and systems devised by Africans; summarize the connections between Africans and other peoples of the world and the ways in which those connections changed over time; demonstrate the usefulness, best practices, and limitations of different types of sources for understanding the African past; appraise various conceptions of the African past given the evidence from that past; assess the degree to which there can be said to be one, shared African history before 1890. This free course may be completed online at any time. (History 251)
A survey of major technological developments from ancient to modern times with particular attention to social, political, and cultural contexts in Europe and the United States.
This wiki page documents the Sun Curve Design Challenge, inspired by the "Sun Curve" aquaponic garden sculpture to challenge teachers and students to produce new OER materials and incorporate green design thinking into the classroom.
Students will learn to solve compound inequalities, absolute value inequalities, and systems of equations, simplify radical expressions, solve quadratic equations and applications and simplify compound fractions, solve rational equations and applications, use function notation to solve problems and use exponential and logarithmic functions.Login: guest_oclPassword: ocl
The main goal of the course is to highlight the general assumptions and methods that underlie all statistical analysis. The purpose is to get a good understanding of the scope, and the limitations of these methods. We also want to learn as much as possible about the assumptions behind the most common methods, in order to evaluate if they apply with reasonable accuracy to a given situation. Our goal is not so much learning bread and butter techniques: these are pre-programmed in widely available and used software, so much so that a mechanical acquisition of these techniques could be quickly done "on the job". What is more challenging is the evaluation of what the results of a statistical procedure really mean, how reliable they are in given circumstances, and what their limitations are.Login: guest_oclPassword: ocl
The lessons in this unit provide you with an opportunity to use online resources to further enliven your students' encounter with Greek mythology, to deepen their understanding of what myths meant to the ancient Greeks, and to help them appreciate the meanings that Greek myths have for us today. In the lessons below, students will learn about Greek conceptions of the hero, the function of myths as explanatory accounts, the presence of mythological terms in contemporary culture, and the ways in which mythology has inspired later artists and poets.
Examination of the use of mathematical logic and computation for solving some of the world's fundamental problems.
A basic introduction to Calculus and Linear Algebra. The goal is to make students mathematically literate in preparation for studying a scientific/engineering discipline. The first week covers differential calculus: graphing functions, limits, derivatives, and applying differentiation to real-world problems, such as maximization and rates of change. The second week covers integral calculus: sums, integration, areas under curves and computing volumes. This is not meant to be a comprehensive calculus course, but rather an introduction to the fundamental concepts. The third and fourth weeks introduce some basic linear algebra: vector spaces, linear transformations, matrices, matrix operations, and diagonalization. The emphasis will be on using the results, not on their proofs.
Study of the history of East Asia (China, Japan, Korea, and Vietnam) from the 19th century to the present. Analyzes the impact of European imperialism, Communism, and the creation of modern nation-states.
This course covers the political, social and cultural history of Europe from 1815 to 1900, including the history of each major European nation.
This course will cover families of trigonometric functions, their inverses, properties, graphs, and applications. Additionally we will study trigonometric equations and identities, the laws of sines and cosines, polar coordinates and graphs, parametric equations and elementary vector operations.Login: guest_oclPassword: ocl
This course will cover families of functions, their properties, graphs and applications. These functions include: polynomial, rational, exponential, logarithmic functions and combinations of these. We will solve related equations and inequalities and conduct data analysis, introductory mathematical modeling and develop competency with a graphing calculator.Login: guest_oclPassword: ocl
This course is designed to introduce the student to the study of Calculus through concrete applications. Upon successful completion of this course, students will be able to: Define and identify functions; Define and identify the domain, range, and graph of a function; Define and identify one-to-one, onto, and linear functions; Analyze and graph transformations of functions, such as shifts and dilations, and compositions of functions; Characterize, compute, and graph inverse functions; Graph and describe exponential and logarithmic functions; Define and calculate limits and one-sided limits; Identify vertical asymptotes; Define continuity and determine whether a function is continuous; State and apply the Intermediate Value Theorem; State the Squeeze Theorem and use it to calculate limits; Calculate limits at infinity and identify horizontal asymptotes; Calculate limits of rational and radical functions; State the epsilon-delta definition of a limit and use it in simple situations to show a limit exists; Draw a diagram to explain the tangent-line problem; State several different versions of the limit definition of the derivative, and use multiple notations for the derivative; Understand the derivative as a rate of change, and give some examples of its application, such as velocity; Calculate simple derivatives using the limit definition; Use the power, product, quotient, and chain rules to calculate derivatives; Use implicit differentiation to find derivatives; Find derivatives of inverse functions; Find derivatives of trigonometric, exponential, logarithmic, and inverse trigonometric functions; Solve problems involving rectilinear motion using derivatives; Solve problems involving related rates; Define local and absolute extrema; Use critical points to find local extrema; Use the first and second derivative tests to find intervals of increase and decrease and to find information about concavity and inflection points; Sketch functions using information from the first and second derivative tests; Use the first and second derivative tests to solve optimization (maximum/minimum value) problems; State and apply Rolle's Theorem and the Mean Value Theorem; Explain the meaning of linear approximations and differentials with a sketch; Use linear approximation to solve problems in applications; State and apply L'Hopital's Rule for indeterminate forms; Explain Newton's method using an illustration; Execute several steps of Newton's method and use it to approximate solutions to a root-finding problem; Define antiderivatives and the indefinite integral; State the properties of the indefinite integral; Relate the definite integral to the initial value problem and the area problem; Set up and calculate a Riemann sum; Estimate the area under a curve numerically using the Midpoint Rule; State the Fundamental Theorem of Calculus and use it to calculate definite integrals; State and apply basic properties of the definite integral; Use substitution to compute definite integrals. (Mathematics 101; See also: Biology 103, Chemistry 003, Computer Science 103, Economics 103, Mechanical Engineering 001)
This course introduces the basic concepts and methods of statistics with applications in the experimental biological sciences. Demonstrates methods of exploring, organizing, and presenting data, and introduces the fundamentals of probability. Presents the foundations of statistical inference, including the concepts of parameters and estimates and the use of the likelihood function, confidence intervals, and hypothesis tests. Topics include experimental design, linear regression, the analysis of two-way tables, sample size and power calculations, and a selection of the following: permutation tests, the bootstrap, survival analysis, longitudinal data analysis, nonlinear regression, and logistic regression. Introduces and employs the freely-available statistical software, R, to explore and analyze data.
An introduction to mathematical topics not included in the standard coursework, delivered by topics and projects chosen by the student. The objective of this course is to study the basic theory and methods in the toolbox of the core of applied mathematics, with a central scheme that addresses Ů_Ęinformation processing__ and with an emphasis on manipulation of digital image data.
This lesson plan explores elements of wonder, distortion, fantasy, and whimsy in The Nursery "Alice," Lewis Carroll's adaptation for younger readers of his beloved classic Alice's Adventures in Wonderland.