This course is a continuation of Abstract Algebra I: the student will revisit structures like groups, rings, and fields as well as mappings like homomorphisms and isomorphisms. The student will also take a look at ring factorization, general lattices, and vector spaces. Later this course presents more advanced topics, such as Galois theory - one of the most important theories in algebra, but one that requires a thorough understanding of much of the content we will study beforehand. Upon successful completion of this course, students will be able to: Compute the sizes of finite groups when certain properties are known about those groups; Identify and manipulate solvable and nilpotent groups; Determine whether a polynomial ring is divisible or not and divide the polynomial (if it is divisible); Determine the basis of a vector space, change bases, and manipulate linear transformations; Define and use the Fundamental Theorem of Invertible Matrices; Use Galois theory to find general solutions of a polynomial over a field. (Mathematics 232)
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Advanced Inorganic Chemistry is designed to give you the knowledge to explain everyday phenomena of inorganic complexes. The student will study the various aspects of their physical and chemical properties and learn how to determine the practical applications that these complexes can have in industrial, analytical, and medicinal chemistry. Upon successful completion of this course, the student will be able to: Explain symmetry and point group theory and demonstrate knowledge of the mathematical method by which aspects of molecular symmetry can be determined; Use molecular symmetry to predict or explain the chemical properties of a molecule, such as dipole moment and allowed spectroscopic transitions; Construct simple molecular orbital diagrams and obtain bonding information from them; Demonstrate an understanding of valence shell electron pair repulsion (VSEPR), which is used for predicting the shapes of individual molecules; Explain spectroscopic information obtained from coordination complexes; Identify the chemical and physical properties of transition metals; Demonstrate an understanding of transition metal organometallics; Define the role of catalysts and explain how they affect the activation energy and reaction rate of a chemical reaction; Identify the mechanisms of both ligand substitution and redox processes in transition metal complexes; Discuss some current, real-world applications of transition metal complexes in the fields of medicinal chemistry, solar energy, electronic displays, and ion batteries. (Chemistry 202)
Organic chemistry is the discipline that studies the properties and reactions of organic, carbon-based compounds. The student will begin by studying a unit on ylides, benzyne, and free radicals. Many free radicals affect life processes. For example, oxygen-derived radicals may be overproduced in cells, such as white blood cells that try to defend against infection in a living organism. Afterward the student will move into a comprehensive examination of stereochemistry, as well as the kinetics of substitution and elimination reactions. The course wraps up with a survey of various hetereocyclic structures, including their MO theory, aromaticity, and reactivity. Upon successful completion of this course, the student will be able to: Describe free radicals in terms of stability, kinetics, and bond dissociation energies; Describe the stereochemistry and orbitals involved in photochemical reactions; Describe enantiomers, diastereomers, pro-S and pro-R hydrogens, and Re/Si faces of carbonyls; Perform conformational analysis of alkanes and cyclohexanes; Describe reaction mechanisms in terms of variousparameters (i.e.,kinetics, Curtin-Hammet principle, Hammond postulate,etc.); Describe the chemistry of the heterocycles listed in Unit3 in terms of molecular orbital theory, aromaticity, and reactions. (Chemistry 201)
This course is oriented toward US high school students. The course is divided into 10 units of study. The first five units build the foundation of concepts, vocabulary, knowledge, and skills for success in the remainder of the course. In the final five units, we will take the plunge into the domain of inferential statistics, where we make statistical decisions based on the data that we have collected.
This course considers the impact of storytelling and spirituals on the literary production of African American authors from the Colonial period to the current day, examining the cultural, historical, and political contexts of the literature, as well as how the issues of gender, race, and class affect the production and meaning of these works. Upon successful completion of this course, the student will be able to: identify the cultural influences and the development of African American literature; analyze the evolution of African American literature from an oral to a literary tradition; define the functions of African American literature from its inception in the period of slavery to the contemporary period; identify the major authors and/or literary works in the various literary periods and movements (Reconstruction to the New Negro Renaissance Movement; Harlem Renaissance; Realism, Naturalism, and modernism; Black Arts; and the Contemporary Period). This free course may be completed online at any time. (English Literature 411)
In this unit, students learn about the form and function of the human heart through lecture, research and dissection. Following the steps of the Legacy Cycle, students brainstorm, research, design and present viable solutions to various heart conditions as presented through a unit challenge. Additionally, students study how heart valves work and investigate how faulty valves can be replaced with new ones through advancements in engineering and technology. This unit demonstrates to students how and why the heart is such a powerful organ in our bodies
Students are introduced to the concept of air quality by investigating the composition, properties, atmospheric layers and everyday importance of air. They explore the sources and effects of visible and invisible air pollution. By learning some fundamental meteorology concepts (air pressure, barometers, prediction, convection currents, temperature inversions), students learn the impact of weather on air pollution control and prevention. Looking at models and maps, they explore the consequences of pollutant transport via weather and water cycles. Students are introduced to acids, bases and pH, and the environmental problem of acid rain, including how engineers address this type of pollution. Using simple models, they study the greenhouse effect, the impact of increased greenhouse gases on the planet's protective ozone layer and the global warming theory. Students explore the causes and effects of the Earth's ozone holes through an interactive simulation. Students identify the types and sources of indoor air pollutants in their school and home, evaluating actions that can be taken to reduce and prevent poor indoor air quality. By building and observing a few simple models of pollutant recovery methods, students explore the modern industrial technologies designed by engineers to clean up and prevent air pollution.
This course discusses how to use algebra for a variety of everyday tasks, such as calculate change without specifying how much money is to be spent on a purchase, analyzing relationships by graphing, and describing real-world situations in business, accounting, and science.
Bycatch, the unintended capture of animals in commercial fishing gear, is a hot topic in marine conservation today. The surprisingly high level of bycatch about 25% of the entire global catch is responsible for the decline of hundreds of thousands of dolphins, whales, porpoises, seabirds and sea turtles each year. Through this curricular unit, students analyze the significance of bycatch in the global ecosystem and propose solutions to help reduce bycatch. They become familiar with current attempts to reduce the fishing mortality of these animals. Through the associated activities, the challenges faced today are reinforced and students are stimulated to brainstorm about possible engineering designs or policy changes that could reduce the magnitude of bycatch.
This course is a survey of American Literature from 1650 through 1820. It covers Early American and Puritan Literature, Enlightenment Literature, and Romantic Literature. It teaches in the context of American History and introduces the student to literary criticism and research.
Analytical chemistry is the branch of chemistry dealing with measurement, both qualitative and quantitative. This discipline is also concerned with the chemical composition of samples. In the field, analytical chemistry is applied when detecting the presence and determining the quantities of chemical compounds, such as lead in water samples or arsenic in tissue samples. It also encompasses many different spectrochemical techniques, all of which are used under various experimental conditions. This branch of chemistry teaches the general theories behind the use of each instrument as well analysis of experimental data. Upon successful completion of this course, the student will be able to: Demonstrate a mastery of various methods of expressing concentration; Use a linear calibration curve to calculate concentration; Describe the various spectrochemical techniques as described within the course; Use sample data obtained from spectrochemical techniques to calculate unknown concentrations or obtain structural information where applicable; Describe the various chromatographies described within this course and analyze a given chromatogram; Demonstrate an understanding of electrochemistry and the methods used to study the response of an electrolyte through current of potential. (Chemistry 108)
In the first of two sequential lessons, students create mobile apps that collect data from an Android device's accelerometer and then store that data to a database. This lesson provides practice with MIT's App Inventor software and culminates with students writing their own apps for measuring acceleration. In the second lesson, students are given an app for an Android device, which measures acceleration. They investigate acceleration by collecting acceleration vs. time data using the accelerometer of a sliding Android device. Then they use the data to create velocity vs. time graphs and approximate the maximum velocity of the device.
Applied Calculus instructs students in the differential and integral calculus of elementary functions with an emphasis on applications to business, social and life science. Different from a traditional calculus course for engineering, science and math majors, this course does not use trigonometry, nor does it focus on mathematical proofs as an instructional method.
This is an online textbook for basic Arabic. It begins with a brief lesson on the alphabet and then proceeds to units grouped by topic, which move into more advanced Arabic vocabulary and grammar. The lessons are accompanied by audio files and videos, and the videos come with bilingual transcripts. There are 6 total units, and 15 lessons. Each unit has stated learning goals, broken up into specific lessons. Each lessons comes with videos, vocabulary (with corresponding audio files), and notes that relate to grammar.
- World Languages
- Material Type:
- Full Course
- University of North Carolina at Chapel Hill School of Education
- Date Added:
This is a textbook for beginning Arabic language learning. The textbook is divided into twelve lessons. Each lesson focuses on an activity and common theme to introduce the basics of Arabic. Each lesson starts with a short video, which you'll be asked to watch. To help you understand the video, each lesson also includes a transcript (in English), a list of vocabulary (with audio clips), and language and grammar notes.
- World Languages
- Material Type:
- Full Course
- University of North Carolina at Chapel Hill School of Education
- Provider Set:
- LEARN NC Lesson Plans
- Date Added:
This course is an arithmetic course intended for college students, covering whole numbers, fractions, decimals, percents, ratios and proportions, geometry, measurement, statistics, and integers using an integrated geometry and statistics approach. The course uses the late integers modelintegers are only introduced at the end of the course.
This course is particularly focused on helping you develop visual literacy skills, but all the college courses you take are to some degree about information literacy. Visual literacy is really just a specialized type of information literacy. The skills you acquire in this course will help you become an effective researcher in other fields, as well.
This course includes materials on AI programming, logic, search, game playing, machine learning, natural language understanding, and robotics, which will introduce the student to AI methods, tools, and techniques, their application to computational problems, and their contribution to understanding intelligence. The material is introductory; the readings cite many resources outside those assigned in this course, and students are encouraged to explore these resources to pursue topics of interest. Upon successful completion of this course, the student will be able to: Describe the major applications, topics, and research areas of artificial intelligence (AI), including search, machine learning, knowledge representation and inference, natural language processing, vision, and robotics; Apply basic techniques of AI in computational solutions to problems; Discuss the role of AI research areas in growing the understanding of human intelligence; Identify the boundaries of the capabilities of current AI systems. (Computer Science 405)
This course serves as an introduction to the major artistic and architectural traditions of Ancient Egypt and the Ancient Near East. This course will explore how artifacts and monuments can be used to study the history and culture of the ancient world. It is divided into two units that chronologically focus on the art, architecture, and archaeology of each region. The first unit examines Ancient Egyptian tombs, monuments, and art from the Early Dynastic (c. 3100-2650 BCE) through the Roman (30 BCE- 4thcentury CE) periods. The second unit focuses on Ancient Near Eastern artistic and architectural traditions from the late Neolithic (c. 9500-4500 BCE) through the conquest of the Achaemenid Persian Empire (550-330 BCE) by Alexander the Great. Upon successful completion of this course, the student will be able to: Identify major ancient Egyptian and Near Eastern architectural sites, monuments, and works of art; Identify the general characteristics of ancient Egyptian and Near Eastern art and recognize the names and characteristics of the major art historical time periods of each region; Describe how art and architecture can be used to understand the politics, history, and culture of Ancient Egypt and the Near East; Explain ancient Egyptian and Near Eastern cosmology, conceptions of the afterlife, and kingship, as well as their relationship to architectural sites, monuments, and works of art. (Art History 201)