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MathDBase

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Our ultimate intention is to cover all mathematics, from elementary school Arithmetic through the STEM-major-required university math courses. But the focus so far, has been on Algebra, Pre-Calculus and Calculus. While working on materials for MathDBase, I will periodically release many of the workbooks, worksheets, study guides, reference materials and quizzes that have already been completed. There will also be links to my mathematics videos.

Our ultimate intention is to cover all mathematics, from elementary school Arithmetic through the STEM-major-required university math courses. But the focus so far, has been on Algebra, Pre-Calculus and Calculus. While working on materials for MathDBase, I will periodically release many of the workbooks, worksheets, study guides, reference materials and quizzes that have already been completed. There will also be links to my mathematics videos.
Challenge Problems Worksheets 1
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Challenge Problems Worksheets 1

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Subjects: Calculus, Geometry, Algebra 2 Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheet (6 pages), appropriate for an impromptu quiz This the first worksheet in the Challenge Problems series. Taken from Arithmetic through Calculus, these problems require not only an understanding of the basic concepts but, often, a bit of imagination. Any formula or definition (within reason) that is required to solve the problems will be given, all that the student has to supply is imagination and a little elbow grease. Each problem set is accompanied by a detailed set of solutions for each problem (sometimes more than one).
Challenge Problems Worksheets 2
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Challenge Problems Worksheets 2

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Subject: Calculus, Geometry, Algebra 2 Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheets (6 pages), appropriate for an impromptu quiz This the second worksheet in the Challenge Problems series. Taken from Arithmetic through Calculus, these problems require not only an understanding of the basic concepts but, often, a bit of imagination. Any formula or definition (within reason) that is required to solve the problems will be given, all that the student has to supply is imagination and a little elbow grease. Each problem set is accompanied by a detailed set of solutions for each problem (sometimes more than one).
Calculus Quiz - Integration by Alg Sub 1 - Algebraic Integrands w/ Solutions
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Calculus Quiz - Integration by Alg Sub 1 - Algebraic Integrands w/ Solutions

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Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Examinations/Quizzes (3 pages) This is the first quiz in the Integration by Algebraic Substitution series. These problems are dealing with integrals that have algebraic integrands. Included is a separate set of very detailed step-by-step solutions.
Calculus Quiz - Integration by Alg Sub 2 - Algebraic Integrands w/ Solutions
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Calculus Quiz - Integration by Alg Sub 2 - Algebraic Integrands w/ Solutions

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Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Examinations/Quizzes This is the second quiz in the Integration by Algebraic Substitution series. These problems are dealing with integrals that have only algebraic integrands. Included is a separate set of very detailed step-by-step solutions.
Reference Cram Sheets - A Short Table of Integrals
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Reference Cram Sheets - A Short Table of Integrals

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Subject: Calculus, Mathematics, Study Skills Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type:Test Preparation/Reference (11 pages) This Table is comprised of the 259 indefinite and definite integrals most students will come across between their AP Calculus sequence through their sophomore year Linear Algebra and Differential Equations courses. It is organized in Algebraic, Trigonometric, Hyperbolic, Exponential and Logarithmic categories, with subcategories of various integrand types. The table starts with a one-page description of what a Table of Integrals is, how to use one, includes a detailed example and ends with a selection of 34 definite integrals from all of the categories.
Calculus Series Workbooks - Integration Techniques 1 - Antidifferentiation
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Calculus Series Workbooks - Integration Techniques 1 - Antidifferentiation

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This is the first in a series of Calculus workbooks on Integration Techniques. This workbook covers the concepts and applications of antidifferentiation, with problems graduated in difficulty and detailed solutions. Contents: Antidifferentiation Antidifferentiation Formulas Calculating Areas by Antidifferentiation Solving Differential Equations by Antidifferentiation Rectilinear Motion Objects Falling Under the Influence of Gravity Glossary & Reference