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)
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.
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)
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)
In this course, the student will study the art of Classical Antiquity. The different units of the course reflect the main chronological stages in art development in Ancient Greece and Rome, from the coming together of the Greek city-state and the emergence of ĺÎĺĺĺŤgeometric art (around 900 B.C.) to the fourth century A.D. shift that took place within Roman culture and art due to the growing influence of Christianity. Upon successful completion of this course, the student will be able to: Explain why ancient Greek and Roman art can be studied together as ĺÎĺĺĺŤthe art of Classical Antiquity; Trace the timeline of major events in Ancient Greece and Rome; Link important developments in the history of Ancient Greece and Rome to specific geographical contexts; Explain how important historical developments and social-historical contexts had an impact on artĺÎĺĺÎĺs evolution in Ancient Greece and Rome; Identify the important stylistic and technical developments of Ancient Greek and Roman art; Discuss important artworks, presenting relevant information on each workĺÎĺĺÎĺs historical context and constitution; Discuss important artists in terms of the style of their work. (Art History 202)
This is a free textbook offered by Saylor Foundation. The Basics of General, Organic, and Biological Chemistry by David W. Ball, John W. Hill, and Rhonda J. Scott is a new textbook offering for the one-semester GOB Chemistry course. The authors designed this book from the ground up to meet the needs of a one-semester course. It is 20 chapters in length and approximately 350-400 pages; just the right breadth and depth for instructors to teach and students to grasp. In addition, The Basics of General, Organic, and Biological Chemistry is written not by one chemist, but THREE chemistry professors with specific, complimentary research and teaching areas. David W. Ball’s specialty is physical chemistry, John W. Hill’s is organic chemistry, and finally, Rhonda J. Scott’s background is in enzyme and peptide chemistry. These three authors have the expertise to identify and present only the most important material for students to learn in the GOB Chemistry course.
This course is also intended to provide the student with a strong foundation for intermediate algebra and beyond. Upon successful completion of this course, you will be able to: simplify and solve linear equations and expressions including problems with absolute values and applications; solve linear inequalities; find equations of lines; and solve application problems; add, subtract, multiply, and divide various types of polynomials; factor polynomials, and simplify square roots; evaluate, simplify, multiply, divide, add, and subtract rational expressions, and solve basic applications of rational expressions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 001)
Biochemistry is the study of the chemical processes and compounds, such as cellular makeup, that bring about life in organisms. This course will look at how these formed biomolecules interact and produce many of life's necessary processes. Also it will look at the most commonly used techniques in biochemistry research. Upon successful completion of this course, students will be able to: recognize and describe the structure of the following basic biomolecules: nucleic acids, amino acids, lipids, carbohydrates; diagram how these basic biomolecules are used as building blocks for more complex biomolecules; differentiate between reactions that create biomolecules; describe how these biomolecules are used in specific cellular pathways and processes; analyze how feedback from one pathway influences other pathways; explain how energy is utilized by a cell; indicate how biomolecules and pathways are regulated; describe how enzymes play a key role in catalysis; assess which biochemical technique should be used to study a given biochemical problem. (Biology 401; See also: Chemistry 109)
Exploration of the biological importance of inorganic complexes. Topics include: biochemistry and transition metal chemistry review, characterization methods, metal ion transport and cellular storage, biological electron transfer, the nitrogen cycle, oxygen transport and transfer, oxygen processing, and enzymes and proteins.
Examination of the biological importance of organic molecules. Topics include: bioorganic mechanisms, chirality and its role in bioactivity, lipids, carbohydrates, animo acids, peptides, and porteins, nucleic acids, enzymes, coenzymes, and coupled reactions, lipid metabolism, carbohydrate metabolism, amino acid metabolism, and nucleotide metabolism.
Business English for Success provides instruction in steps, builds writing, reading, and critical thinking, and combines comprehensive grammar review with an introduction to paragraph writing and composition. Beginning with the sentence and its essential elements, this book addresses each concept with clear, concise, and effective examples that are immediately reinforced with exercises and opportunities to demonstrate learning.
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.
This course is oriented toward US high school students. Its structure and materials are aligned to the US Common Core Standards. Foci include: derivatives, integrals, limits, approximation, and applications.
This course begins with a review of algebra specifically designed to help and prepare the student for the study of calculus, and continues with discussion of functions, graphs, limits, continuity, and derivatives. The appendix provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over. Upon successful completion of this course, the student will be able to: calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and LĺÎĺ_ĺĚĺ_hopitalĺÎĺ_ĺĚĺ_s Rule; state whether a function given by a graph or formula is continuous or differentiable at a given point or on a given interval and justify the answer; calculate average and instantaneous rates of change in context, and state the meaning and units of the derivative for functions given graphically; calculate derivatives of polynomial, rational, common transcendental functions, and implicitly defined functions; apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems, and calculate slopes and rates for function given as parametric equations; find extreme values of modeling functions given by formulas or graphs; predict, construct, and interpret the shapes of graphs; solve equations using NewtonĺÎĺ_ĺĚĺ_s Method; find linear approximations to functions using differentials; festate in words the meanings of the solutions to applied problems, attaching the appropriate units to an answer; state which parts of a mathematical statement are assumptions, such as hypotheses, and which parts are conclusions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 005)