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CK-12 Foundation's Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.
CK-12 Foundation's Basic Probability and Statistics A Short Course is an introduction to theoretical probability and data organization. Students learn about events, conditions, random variables, and graphs and tables that allow them to manage data.
The nature of engineering and it's societal impact are covered, as well as the educational and legal requirements needed to become an engineer. Engineers contribute to the development of many innovations that improve life. We investigate how engineers work to meet human needs; great engineering accomplishments of the past; and consider needs that engineering must meet in the future. Engineering design process, how it differs design processes, and how the implementation of the design process effects the quality of the resulting design. The application of the principles of mathematics and science to the creation or modification of components, systems, and processes for the benefit of society are covered with a focus on the balance between quality, performance, and cost. How engineers use creativity and judgment to solve societal how problems; complex engineering problems are usually solved by teams are covered; as well as the intended desirable consequences and unintended undesirable consequences of engineering.
In trying to develop fluency in the abstract and symbolic language of algebra to ensure that readers learn, understand, and think mathematical thoughts, this text has the goal of enabling students to read, write, think and apply mathematics, and of giving students command of the facts and methods of algebra and trigonometry. The text emphasizes the appropriate and creative use of technology, but even more, the understanding of concepts and symbolism. In general, the goals for the text are to equip students for calculus and to promote understanding and retention of mathematical thoughts.
An introduction to astronomy written with a historical perspective.
Our proven Spectrum Math grade 8 workbook features 176 pages of drills and practice in math fundamentals. Recently updated to current national math and testing standards. This workbook for children ages 13 to 14 uses everyday math applications to teach basic skills. Math skills include: ~Ratio and proportion ~Fractions, decimals, and percents ~Calculating interest ~Perimeter, area, and volume ~Algebra ~Geometry ~Probability and statistics Our best-selling Spectrum Math series features age-appropriate workbooks for Preschool to grade 8. Developed with the latest standards-based teaching methods that provide targeted practice in math fundamentals to ensure successful learning
Explores the appearance, characteristics, and behavior of protists and fungi, lifeforms which are neither plants nor animals, using specific examples such as algae, mold, and mushrooms.
CK-12 Foundation's Chemistry - Second Edition FlexBook covers the following chapters:Introduction to Chemistry - scientific method, history.Measurement in Chemistry - measurements, formulas.Matter and Energy - matter, energy.The Atomic Theory - atom models, atomic structure, sub-atomic particles.The Bohr Model of the Atom electromagnetic radiation, atomic spectra. The Quantum Mechanical Model of the Atom energy/standing waves, Heisenberg, Schrodinger.The Electron Configuration of Atoms Aufbau principle, electron configurations.Electron Configuration and the Periodic Table- electron configuration, position on periodic table.Chemical Periodicity atomic size, ionization energy, electron affinity.Ionic Bonds and Formulas ionization, ionic bonding, ionic compounds.Covalent Bonds and Formulas nomenclature, electronic/molecular geometries, octet rule, polar molecules.The Mole Concept formula stoichiometry.Chemical Reactions balancing equations, reaction types.Stoichiometry limiting reactant equations, yields, heat of reaction.The Behavior of Gases molecular structure/properties, combined gas law/universal gas law.Condensed Phases: Solids and Liquids intermolecular forces of attraction, phase change, phase diagrams.Solutions and Their Behavior concentration, solubility, colligate properties, dissociation, ions in solution.Chemical Kinetics reaction rates, factors that affect rates.Chemical Equilibrium forward/reverse reaction rates, equilibrium constant, Le Chatelier's principle, solubility product constant.Acids-Bases strong/weak acids and bases, hydrolysis of salts, pHNeutralization dissociation of water, acid-base indicators, acid-base titration, buffers.Thermochemistry bond breaking/formation, heat of reaction/formation, Hess' law, entropy, Gibb's free energy. Electrochemistry oxidation-reduction, electrochemical cells.Nuclear Chemistry radioactivity, nuclear equations, nuclear energy.Organic Chemistry straight chain/aromatic hydrocarbons, functional groups.Chemistry Glossary
This remarkable undergraduate-level text offers a study in calculus that simultaneously unifies the concepts of integration in Euclidean space while at the same time giving students an overview of other areas intimately related to mathematical analysis. The author achieves this ambitious undertaking by shifting easily from one related subject to another. Thus, discussions of topology, linear algebra, and inequalities yield to examinations of innerproduct spaces, Fourier series, and the secret of Pythagoras. Beginning with a look at sets and structures, the text advances to such topics as limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, and more. Carefully chosen problems appear at the end of each chapter, and this new edition features an additional appendix of tips and solutions for selected problems.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.