The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this comprehensive workbook (with full solutions to every problem) to share his strategies for mastering calculus. This workbook covers a variety of essential calculus skills, including:derivatives of polynomials, trig functions, exponentials, and logarithmsthe chain rule, product rule, and quotient rulesecond derivativeshow to find the extreme values of a functionlimits, including l'Hopital's ruleantiderivatives of polynomials, trig functions, exponentials, and logarithmsdefinite and indefinite integralstechniques of integration, including substitution, trig sub, and integration by partsmultiple integralsThe goal of this workbook isn't to cover every possible topic from calculus, but to focus on the most essential skills needed to apply calculus to other subjects, such as physics or engineering.

These 50 challenging calculus problems involve applying a variety of calculus skills. The exercises come with a good range of difficulty from milder challenges to very hard problems. On the page following each problem you can find the full solution with explanations.derivatives of polynomials, trig functions, exponentials, and logarithmsthe chain rule, product rule, and quotient rulesecond derivatives (and beyond)applications such as related rates, extreme values, and optimizationlimits, including l'Hopital's ruleantiderivatives of polynomials, trig functions, exponentials, and logarithmsdefinite and indefinite integralstechniques of integration, including substitution, trig sub, and integration by partsmultiple integralsnon-Cartesian coordinate systems

EDITIONS: Originally published as a paperback workbook, this print replica digital format is designed for value pricing (compared to the print edition) and the convenience of electronic storage. Pinch-and-zoom allow for close-up reading. Problems can be worked out on scratch paper. Also available in paperback.WHAT TO EXPECT: This is a workbook designed to offer plenty of practice with essential skills. It is not a textbook designed to teach trigonometry, but a workbook designed to supplement a student's instruction in trigonometry. Examples and a brief description of the concepts are included to serve as a quick refresher and a guide. If you need more instruction, you should use this workbook in combination with a textbook. The last chapter involves applications of trig identities, which is a challenging topic that will mostly interest more advanced students. A few chapters are intended to help students memorize the trig functions of common angles like 30, 150, or 315 degrees, which will be especially useful for students who may take exams without a calculator (that's the case with the MCAT and many math and science courses). There may be more practice than many students need, which is much better than having too little practice. Any extra pages may be helpful for teachers or parents with multiple children.DESCRIPTION: This Trigonometry Essentials Practice Workbook with Answers provides ample practice for developing fluency in very fundamental trigonometry skills. Every problem can be answered without a calculator, which is very helpful for students who aren't allowed to use a calculator. This is the case in some trig and physics courses, as well as some standardized exams (like the MCAT).CONTENTS: This workbook is conveniently divided up into 11 chapters so that students can focus on one trigonometry skill at a time. Skills include the following:converting between degrees and radians;expressing sine, cosine, tangent, secant, cosecant, and cotangent as fractions by looking at right triangles;solving for unknown sides and angles in 45°-45°-90° and 30°-60°-90° right triangles;determining the sine, cosine, tangent, secant, cosecant, and cotangent of multiples of 30° and 45° up to 360° (working with both degrees and radians);practice finding the reference angle for angles in Quadrants II, III, and IV;finding the inverse trig functions;applying the law of sines and the law of cosines to solve for unknown sides and angles in acute and obtuse triangles;solving problems with trig identities (like the angle sum and difference formulas);and solving algebraic equations that feature basic trig functions.EXAMPLES: Each section begins with a few pages of instructions for how to solve the problems followed by some examples. These examples should serve as a useful guide until students are able to solve the problems independently.ANSWERS: Answers to exercises are tabulated at the back of the book. This helps students develop confidence and ensures that students practice correct techniques, rather than practice making mistakes.PHOTOCOPIES: The copyright notice permits parents/teachers who purchase one copy or borrow one copy from a library to make photocopies for their own children/students only. This is very convenient if you have multiple children/students or if a child/student needs additional practice.INTRODUCTION: An introduction describes how parents and teachers can help students make the most of this workbook. Students are encouraged to time and score each page. In this way, they can try to have fun improving on their records, which can help lend them confidence in their math skills.

FORMATS: 6" x 9" paperback (ISBN: 978-1941691038). 8.5" x 11" paperback with large print (ISBN: 978-1941691021). Kindle e-book (ASIN: B0106X7NL4).WHAT TO EXPECT: This book reviews essential trigonometry concepts, ideas, and skills. Topics include the basic trig functions, special angles, the reference angle, the unit circle, going beyond Quadrant I, inverse trig functions, and radians. A few chapters are intended to help students memorize the trig functions of common angles like 30, 150, or 315 degrees, which will be especially useful for students who may take exams without a calculator (that's the case with the MCAT and many math and science courses). Each chapter works out examples with step-by-step solutions and explanations. Problems at the end of each chapter offer practice carrying out the techniques. The answer to every exercise can be found on the following page.CONTENTS: This book is conveniently divided up into 9 chapters so that students can focus on one trigonometry skill at a time. Skills include the following:review of the Pythagorean theorem and relevant properties of triangles;understanding sine, cosine, and tangent;special angles and special triangles;working with the reference angle;using the unit circle;working in Quadrants II-IV;finding secant, cosecant, and cotangent;finding inverse trig functions;and converting between degrees and radians.AUTHOR: Chris McMullen earned his Ph.D. in physics from Oklahoma State University and currently teaches physics at Northwestern State University of Louisiana. He developed the Step-by-Step and Improve Your Math Fluency series of workbooks to help students become more fluent in basic math skills.ANSWERS: Answers to exercises can be found on the page following the practice problems. This helps students develop confidence and ensures that students practice correct techniques, rather than practice making mistakes.

Hardcover Holt Precalculus A Graphing Approach student textbook.

This eBook includes 212 digital trigonometry flash cards in color (where color is available). Each flash card is decorated with triangles.These flash cards are specifically designed to help students memorize the sine, cosine, and tangent of 0, 30, 45, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330, and 360 degrees.For example, one flash card has cos(120) followed by the answer, cos(120) = -1/2. All of the answers are written as reduced fractions with rationalized denominators (except when the answer is a whole number). All of the angles are expressed in degrees.The first set of 102 flash cards has the problems sin(0) thru tan(360) in order. The first half of this eBook is designed for students who are still memorizing the values of these trig functions.The second set of 102 flash cards has the problems sin(0) thru tan(360) shuffled. The second half of this eBook is designed for students who have attempted to memorize the values of these trig functions, and who need to test their mastery of it.There are a few flash cards at the beginning that remind you what the definitions of sine, cosine, and tangent mean in relation to a general right triangle. There is also one flash card near the beginning that has the sign of sine, cosine, and tangent in each quadrant.Some math and physics teachers require students to memorize the basic trig functions of the common angles from 0 to 360 degrees. Some standardized tests require this of students, also. For example, the MCAT is closed calculator and involves trig, and some of the problems require taking a sine, cosine, or tangent of an angle like 120 degrees. It's also useful to know these common trig values when working on a back-of-the-envelope calculation with a colleague during lunch, for example.Each flash card appears as its own picture on its own page. All of the flash cards come in pairs: First comes the problem flash card, followed by the corresponding answer flash card. The answer flash card reminds you what the problem was. So first you see the problem, and then you check your answer immediately.This eBook reads like a book. It is not a program or a game. It does not use a random number generator. The flash cards do look like ordinary flashcards (and they are in color and are decorated with triangles). The first half of this eBook has the flash cards in order to help memorize the trig values. The second half are shuffled to help test how well the trig values have been memorized. The shuffled cards will always appear in the same order.

MCDOUGAL LITTEL

Pre-Cal Book

FORMATS: 6" x 9" paperback (ISBN: 978-1941691038). 8.5" x 11" paperback with large print (ISBN: 978-1941691021). Kindle e-book (ASIN: B0106X7NL4).WHAT TO EXPECT: This book reviews essential trigonometry concepts, ideas, and skills. Topics include the basic trig functions, special angles, the reference angle, the unit circle, going beyond Quadrant I, inverse trig functions, and radians. A few chapters are intended to help students memorize the trig functions of common angles like 30, 150, or 315 degrees, which will be especially useful for students who may take exams without a calculator (that's the case with the MCAT and many math and science courses). Each chapter works out examples with step-by-step solutions and explanations. Problems at the end of each chapter offer practice carrying out the techniques. The answer to every exercise can be found at the back of the book.CONTENTS: This book is conveniently divided up into 9 chapters so that students can focus on one trigonometry skill at a time. Skills include the following:review of the Pythagorean theorem and relevant properties of triangles;understanding sine, cosine, and tangent;special angles and special triangles;working with the reference angle;using the unit circle;working in Quadrants II-IV;finding secant, cosecant, and cotangent;finding inverse trig functions;and converting between degrees and radians.AUTHOR: Chris McMullen earned his Ph.D. in physics from Oklahoma State University and currently teaches physics at Northwestern State University of Louisiana. He developed the Step-by-Step and Improve Your Math Fluency series of workbooks to help students become more fluent in basic math skills.ANSWERS: Answers to exercises are tabulated at the back of the book. This helps students develop confidence and ensures that students practice correct techniques, rather than practice making mistakes.PHOTOCOPIES: The copyright notice permits parents/teachers who purchase one copy or borrow one copy from a library to make photocopies for their own children/students only. This is very convenient if you have multiple children/students or if a child/student needs additional practice. The large print naturally lends itself to overhead transparencies or classroom document cameras for projecting pages onto an overhead display or projector.

Math Girls Talk About Integers introduces students to a variety of fun and informative topics in discrete math, including curious features of the prime numbers, tricks for checking for multiples of 3 and 9 (and why those tricks work!), using division remainders to solve some unusual problems, and an in-depth look at proof by mathematical induction. These topics are introduced through conversations between the characters from Math Girls, offering a fun way to learn this serious content. Each chapter comes with review problems and answers, and an appendix gives more challenging, open-ended problems for readers wanting to push the limits of their understanding.

FORMATS: 6" x 9" paperback (ISBN: 978-1941691038). 8.5" x 11" paperback with large print (ISBN: 978-1941691021). Kindle e-book (ASIN: B0106X7NL4).WHAT TO EXPECT: This book reviews essential trigonometry concepts, ideas, and skills. Topics include the basic trig functions, special angles, the reference angle, the unit circle, going beyond Quadrant I, inverse trig functions, and radians. A few chapters are intended to help students memorize the trig functions of common angles like 30, 150, or 315 degrees, which will be especially useful for students who may take exams without a calculator (that's the case with the MCAT and many math and science courses). Each chapter works out examples with step-by-step solutions and explanations. Problems at the end of each chapter offer practice carrying out the techniques. The answer to every exercise can be found at the back of the book.CONTENTS: This book is conveniently divided up into 9 chapters so that students can focus on one trigonometry skill at a time. Skills include the following:review of the Pythagorean theorem and relevant properties of triangles;understanding sine, cosine, and tangent;special angles and special triangles;working with the reference angle;using the unit circle;working in Quadrants II-IV;finding secant, cosecant, and cotangent;finding inverse trig functions;and converting between degrees and radians.AUTHOR: Chris McMullen earned his Ph.D. in physics from Oklahoma State University and currently teaches physics at Northwestern State University of Louisiana. He developed the Step-by-Step and Improve Your Math Fluency series of workbooks to help students become more fluent in basic math skills.ANSWERS: Answers to exercises are tabulated at the back of the book. This helps students develop confidence and ensures that students practice correct techniques, rather than practice making mistakes.PHOTOCOPIES: The copyright notice permits parents/teachers who purchase one copy or borrow one copy from a library to make photocopies for their own children/students only. This is very convenient if you have multiple children/students or if a child/student needs additional practice. The large print naturally lends itself to overhead transparencies or classroom document cameras for projecting pages onto an overhead display or projector.

Precalculus, Grade 9, A Graphing Approach

This book, with over 250 problems, covers the following topics: Whole Numbers, Operations with Whole Numbers, Decimals, Integers, Graphing, Fractions, Measurements, Functions and Probability, Geometry, and more! If you are home schooling (or if you are just trying to get extra practice for your child), then you already know that math workbooks and curriculum can be expensive. Home School Brew is trying to change that! We have teamed with teachers and parents to create books for prices parents can afford. We believe education shouldn't be expensive. The problem portion of the book may also be purchased individually in "Sixth Grade Math Problems."

Book by Penner, David A., Lux, J. Richard

Book by David Lederman

Developing Skills in Estimation Students develop better number sense as they practice rounding numbers, using estimates in computation, approximating measurements and costs, and using special techniques. Answers help students gauge what makes a reasonable estimate. There are forty-eight reproducible worksheets per book.

Daily Math Addition Practice 30 Worksheets This book contains 30 addition worksheets for practice. These are vertical addition sums with two addends. The addends are of 5 digits and 4 digits each. These maths problems are provided to improve the mathematics skills by frequent practicing of the worksheets provided. There is nothing more effective than a pencil and paper for practicing some math skills. These math worksheets are ideal for teachers, parents, students, and home schoolers. Teachers and home schoolers use the maths worksheets to test and measure the child's mastery of basic math skills. These math drill sheets can save you precious planning time when homeschooling as you can use these work sheets to give extra practice of essential math skills. Parents use these mathematic worksheets for their kids homework practice too. You can use the worksheets during the summer to get your children ready for the upcoming school term. Designed for after school study and self study, it is also used by homeschoolers, special needs and gifted kids to add to the learning experience in positive ways. It helps your child excel in school as well as in building good study habits. If a workbook or mathematic textbook is not allowing for much basic practice, these sheets give you the flexibility to follow the practice that your student needs for a curriculum. These worksheets are not designed to be grade specific for students, rather depend on how much practice they've had at the skill in the past and how the curriculum in your school is organized. Kids work at their own level and their own pace through these activities. The learner can practice one worksheet a day, one per week, two per week or can follow any consistent pattern. Make best use of your judgement.

Daily Math Division Practice 30 Worksheets This book contains 30 division worksheets for practice with one dividend and one divisor of 1 digit each. These maths problems are provided to improve the mathematics skills by frequent practicing of the worksheets provided. There is nothing more effective than a pencil and paper for practicing some math skills. These math worksheets are ideal for teachers, parents, students, and home schoolers. Teachers and home schoolers use the maths worksheets to test and measure the child's mastery of basic math skills. These math drill sheets can save you precious planning time when homeschooling as you can use these work sheets to give extra practice of essential math skills. Parents use these mathematic worksheets for their kids homework practice too. You can use the worksheets during the summer to get your children ready for the upcoming school term. Designed for after school study and self study, it is also used by homeschoolers, special needs and gifted kids to add to the learning experience in positive ways. It helps your child excel in school as well as in building good study habits. If a workbook or mathematic textbook is not allowing for much basic practice, these sheets give you the flexibility to follow the practice that your student needs for a curriculum. These worksheets are not designed to be grade specific for students, rather depend on how much practice they've had at the skill in the past and how the curriculum in your school is organized. Kids work at their own level and their own pace through these activities. The learner can practice one worksheet a day, one per week, two per week or can follow any consistent pattern. Make best use of your judgement.

Daily Math Addition Practice 60 Worksheets This book contains 60 addition worksheets for practice. These are vertical addition sums with two addends. The addends are of 5 digits and 3 digits each. These maths problems are provided to improve the mathematics skills by frequent practicing of the worksheets provided. There is nothing more effective than a pencil and paper for practicing some math skills. These math worksheets are ideal for teachers, parents, students, and home schoolers. Teachers and home schoolers use the maths worksheets to test and measure the child's mastery of basic math skills. These math drill sheets can save you precious planning time when homeschooling as you can use these work sheets to give extra practice of essential math skills. Parents use these mathematic worksheets for their kids homework practice too. You can use the worksheets during the summer to get your children ready for the upcoming school term. Designed for after school study and self study, it is also used by homeschoolers, special needs and gifted kids to add to the learning experience in positive ways. It helps your child excel in school as well as in building good study habits. If a workbook or mathematic textbook is not allowing for much basic practice, these sheets give you the flexibility to follow the practice that your student needs for a curriculum. These worksheets are not designed to be grade specific for students, rather depend on how much practice they've had at the skill in the past and how the curriculum in your school is organized. Kids work at their own level and their own pace through these activities. The learner can practice one worksheet a day, one per week, two per week or can follow any consistent pattern. Make best use of your judgement.