Bøker av Kathryn Paulk

This 2nd edition is organized differently than the first edition. The one-page summaries and examples are grouped together. The Kindle version of the 2nd edition is formatted to provide a better reading experience on electronic devices with the Kindle app (Kindle reader, laptop, iPhone). Topics include: Lines (Perimeter, Pythagorean Theorem, 30-60-90 Triangle)Area (Rectangles, Triangles, Circles, Ovals)Volume (Cylinder, Pyramid, Sphere)Regular Polygons (Radius, Apothem, Perimeter, Area)Two Points (Distance, Midpoint, Equation of a Line)Quadratic Equations (Standard, Vertex, & Factored Form)Geometry Circles (Angles, chord, and tangent lines)Unit Circle (Radians, Degrees, Sine, Cosine)Law of Cosines (Also Law of Sines)Exponents (Standard exponent rules)Exponential Functions (Growth and Decay, Interest)Logs (Product, Quotient, and Power Properties)Parent Functions (Graphs of 12 parent functions)Translations (Vertical and Horizontal Translations)Graphing Polynomials (End Behavior, Zeros, Multiplicity)Asymptotes (Vertical, Horizontal, Slant, Holes)Conic Sections (Parabola, Ellipse, Hyperbola)Series (Arithmetic and Geometric)Basic Stats (Population, Sample, Normal Distribution)Polynomial Division (Long & Synthetic)

This book includes many sketches by the author and black-and-white photos. The progression of a swimmer may be divided into three parts: [1] Moving in the water, [2] Swimming in the water, and [3] Swimming fast. Part 1, moving in the water, is the focus of this book. It includes activities a parent may do to help a child become comfortable and safe in the water. Any child who feels comfortable in the water will enjoy it and that is the foundation of a good swimmer. This is an important first step for any child. Part 2, swimming in the water, is briefly discussed. Standard swim lessons are offered at most swimming pools and provide an excellent way for a child to learn proper swimming techniques. Part 3, swimming fast, describes the progression of a child from a good swimmer to a great swimmer. Parents of young children, who demonstrate some skill in and a passion for swimming, will appreciate the suggestions included in Part 3. The methods in this book were developed by the author when she taught adults, who were afraid to enter the water, to learn to become comfortable and safe in the water. She refined the approach to teach her son to swim. At the age of 3, he could jump off a diving board and swim (doggy paddle) to the edge. In college, he swam on a Division 1 swim team.

This book is a review for students who are currently taking or have already taken a first course in calculus. Calculus I topics are presented in short bite-size pieces. Detailed examples are included. This book has been formatted so that it is easy to read on both paperback and also on electronic devices with the Kindle app (laptop, iPad, Kindle E-reader, and iPhone). Topics include: Limits: Horizontal & Vertical AsymptotesDerivatives: Product, Quotient & Chain Rules, Implicit DifferentiationApplications of Derivatives: Mean Value Theorem, Max. & Min.Integrals: Fundamental Theorem of Calculus, SubstitutionApplications of Integration: Area, Volume, Work, Average ValueAlso: Integration by Parts, Integration by Parts Tabular Method

"The BIG MATH for Little Kids" series includes six books. There are 2 versions of each book - solutions and workbook. So, there is a total of 12 books in the series. Introduction to NumbersIntroduction to Fractions by Sharing ThingsIntroduction to Counting & Fractions by Cooking BreakfastLearn About Fractions by Baking CookiesAdding Big Numbers, Guessing Numbers & Secret CodesLearn to Graph by Riding Bikes on Graph PaperThere is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed. The activities in the books are based on the math activities Kathy did with her own son, when he was young.

This book is a review for students who are currently taking or have already taken a second course in calculus. Calculus 2 topics are presented in short bite-size pieces. For each topic, important equations are listed, followed by detailed examples. Proofs are not included. This book has been formatted so that it is easy to read on both paperback and also on electronic devices with the Kindle app (laptop, iPad, Kindle E-reader, and iPhone). Topics include: Integration by PartsIntegration by Parts (Tabular Method)Trig IntegralsTrig SubstitutionIntegrating Rational Functions by Partial FractionsImproper IntegralsArc LengthArea of Surface of RevolutionCenter of MassDifferential Equations (DE)DE: Separable EquationsDE: Population Growth ModelCalculus With Parametric EquationsCalculus With Polar CurvesSequences & SeriesIntegral TestEstimates of SumsComparison TestsAlternating SeriesAbsolute ConvergenceRatio and Root TestsPower SeriesTaylor and Maclaurin SeriesTables of Derivatives and Integrals

"The BIG MATH for Little Kids" series includes six books. There are 2 versions of each book - solutions and workbook. So, there is a total of 12 books in the series. Introduction to NumbersIntroduction to Fractions by Sharing ThingsIntroduction to Counting & Fractions by Cooking BreakfastLearn About Fractions by Baking CookiesAdding Big Numbers, Guessing Numbers & Secret CodesLearn to Graph by Riding Bikes on Graph PaperThere is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed.

"The BIG MATH for Little Kids" series includes six books. There are 2 versions of each book - solutions and workbook. So, there is a total of 12 books in the series. Introduction to NumbersIntroduction to Fractions by Sharing ThingsIntroduction to Counting & Fractions by Cooking BreakfastLearn About Fractions by Baking CookiesAdding Big Numbers, Guessing Numbers & Secret CodesLearn to Graph by Riding Bikes on Graph PaperThere is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed. The activities in the books are based on the math activities Kathy did with her own son, when he was young.

"The BIG MATH for Little Kids" series includes six books. There are 2 versions of each book - solutions and workbook. So, there is a total of 12 books in the series. Introduction to NumbersIntroduction to Fractions by Sharing ThingsIntroduction to Counting & Fractions by Cooking BreakfastLearn About Fractions by Baking CookiesAdding Big Numbers, Guessing Numbers & Secret CodesLearn to Graph by Riding Bikes on Graph PaperThere is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed. The activities in the books are based on the math activities Kathy did with her own son, when he was young.

"The BIG MATH for Little Kids" series includes six books. There are 2 versions of each book - solutions and workbook. So, there is a total of 12 books in the series. Introduction to NumbersIntroduction to Fractions by Sharing ThingsIntroduction to Counting & Fractions by Cooking BreakfastLearn About Fractions by Baking CookiesAdding Big Numbers, Guessing Numbers & Secret CodesLearn to Graph by Riding Bikes on Graph PaperThere is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed. The activities in the books are based on the math activities Kathy did with her own son, when he was young.

"The BIG MATH for Little Kids" series includes six books. There are 2 versions of each book - solutions and workbook. So, there is a total of 12 books in the series. Introduction to NumbersIntroduction to Fractions by Sharing ThingsIntroduction to Counting & Fractions by Cooking BreakfastLearn About Fractions by Baking CookiesAdding Big Numbers, Guessing Numbers & Secret CodesLearn to Graph by Riding Bikes on Graph PaperThere is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed. The activities in the books are based on the math activities Kathy did with her own son, when he was young.

"The BIG MATH for Little Kids" series includes six books. There are 2 versions of each book - solutions and workbook. So, there is a total of 12 books in the series. Introduction to NumbersIntroduction to Fractions by Sharing ThingsIntroduction to Counting & Fractions by Cooking BreakfastLearn About Fractions by Baking CookiesAdding Big Numbers, Guessing Numbers & Secret CodesLearn to Graph by Riding Bikes on Graph PaperThere is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed. The activities in the books are based on the math activities Kathy did with her own son, when he was young.

This book introduces complex numbers and explains how they may be represented in rectangular and polar form. How to switch from one form to the other is also explained. Then, polar curves are introduced with a few simple examples. The general equations for limacons, spirals, roses, and straight lines are summarized which helps with graphing them. The last half of the book contains sample problems with detailed solutions.

"The BIG MATH for Little Kids" series includes six books. There are 2 versions of each book - solutions and workbook. So, there is a total of 12 books in the series.Introduction to NumbersIntroduction to Fractions by Sharing ThingsIntroduction to Counting & Fractions by Cooking BreakfastLearn About Fractions by Baking CookiesAdding Big Numbers, Guessing Numbers & Secret CodesLearn to Graph by Riding Bikes on Graph PaperThere is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed. The activities in the books are based on the math activities Kathy did with her own son, when he was young.

This book is a creative introduction to discrete and continuous distributions. To help students identify distributions and to apply appropriate equations, a set of discrete and continuous distributions are personified with a set of college professors, who stay overtime in their classes, according to a particular distribution. Statistics, for each professor, are calculated and compared. It is assumed that the reader has completed courses in differential and integral calculus.

"The BIG MATH for Little Kids" series includes six books. There are 2 versions of each book - solutions and workbook. So, there is a total of 12 books in the series. Introduction to NumbersIntroduction to Fractions by Sharing ThingsIntroduction to Counting & Fractions by Cooking BreakfastLearn About Fractions by Baking CookiesAdding Big Numbers, Guessing Numbers & Secret CodesLearn to Graph by Riding Bikes on Graph PaperThere is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed. The activities in the books are based on the math activities Kathy did with her own son, when he was young.

This book is different than most math books because it is based on a student's class notes that have been reviewed and updated by the professor who taught the course! Therefore, this book is structured and presented in a way that teaches the material with a series of detailed examples, from simple to increasing complexity. Solution techniques are generalized and simple, step-by-step procedures are listed and used to solve a series of problems, from simple to advanced. All topics are presented in a logical way that gives the reader a clear understanding of the important concepts and the relationship between topics. This book should be considered a reference for students taking a course in Differential Equations (DEs). Statements of theorem and important results are included; however, proofs are not included because the primary emphasis is on problems and applications. It is assumed that the reader has previously taken courses in Differential and Integral Calculus. Familiarity with Linear Algebra is also recommended. Throughout the book, short reviews are included where needed. In addition, the appendix includes some supporting material (integration-by-parts (tabular-method), complex numbers, linear independence, and matrices). This book includes an impressive list of topics: FIRST-ORDER DE* First Order Linear DE* Separable DE * Substitution Methods (Bernoulli DE, Homogeneous DE, Special Substitution)* Exact DE With & Without Integrating Factor * Strategies for First-Order DE * Existence and Uniqueness Theorem SECOND-ORDER DE* Second-Order DE with Constant Coefficients (Characteristic Eqns., Existence & Uniqueness, Wronskian Determinant)* Higher-Order DE with Constant Coefficients * Non-Homogeneous DE with Constant Coefficients (Undetermined Coefficients, Variation of Parameters)* Euler's DE * Reduction of Order * Mechanical and Electrical Vibrations (Spring Mass System, Electrical Vibrations) SERIES SOLUTIONS of DE* Power Series (Review)* Series Solution near an Ordinary Point * Types of Singular Points * Series Solution near Regular Singular Point * Bessel's DE LAPLACE TRANSFORM of DE* Improper Integration * Definition of Laplace Transform and Gamma Functions * Step Functions * Impulse Functions * Convolution Integrals SYSTEMS of FIRST-ORDER DE* Systems of First-Order Linear DEs * Eigenvalues and Eigenvectors * Homogeneous and Non-Homogeneous Systems * The Phase Plane * Locally Linear Systems * Competing Species * Predator-Prey Systems The last, and perhaps most interesting, chapter of this book includes phase portraits and discusses the stability of equilibrium solutions for non-linear systems of differential equations. The book concludes with fascinating applications such as competing species and predator-prey systems.

"The BIG MATH for Little Kids" series includes six books. There are 2 versions of each book - solutions and workbook. So, there is a total of 12 books in the series. Introduction to NumbersIntroduction to Fractions by Sharing ThingsIntroduction to Counting & Fractions by Cooking BreakfastLearn About Fractions by Baking CookiesAdding Big Numbers, Guessing Numbers & Secret CodesLearn to Graph by Riding Bikes on Graph PaperThere is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed. The activities in the books are based on the math activities Kathy did with her own son, when he was young.

"The BIG MATH for Little Kids" series includes six books. There are 2 versions of each book - solutions and workbook. So, there is a total of 12 books in the series. Introduction to NumbersIntroduction to Fractions by Sharing ThingsIntroduction to Counting & Fractions by Cooking BreakfastLearn About Fractions by Baking CookiesAdding Big Numbers, Guessing Numbers & Secret CodesLearn to Graph by Riding Bikes on Graph PaperThere is a separate workbook and solution book for each book. The workbooks are the same as the solution books but most answers have been removed. The activities in the books are based on the math activities Kathy did with her own son, when he was young.