# Mathematics Textbooks and Full Courses Collection Resources (302)

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This course covered the mathematical topics most directly related to computer science. ...

This course covered the mathematical topics most directly related to computer science. Topics included: logic, relations, functions, basic set theory, countability and counting arguments, proof techniques, mathematical induction, graph theory, combinatorics, discrete probability, recursion, recurrence relations, and number theory. Emphasis will be placed on providing a context for the application of the mathematics within computer science. The analysis of algorithms requires the ability to count the number of operations in an algorithm. Recursive algorithms in particular depend on the solution to a recurrence equation, and a proof of correctness by mathematical induction. The design of a digital circuit requires the knowledge of Boolean algebra. Software engineering uses sets, graphs, trees and other data structures. Number theory is at the heart of secure messaging systems and cryptography. Logic is used in AI research in theorem proving and in database query systems. Proofs by induction and the more general notions of mathematical proof are ubiquitous in theory of computation, compiler design and formal grammars. Probabilistic notions crop up in architectural trade-offs in hardware design.

Subject:
Computer Science
Mathematics
Material Type:
Assessment
Full Course
Homework/Assignment
Lecture
Lecture Notes
Syllabus
Provider:
ArsDigita University
Provider Set:
ArsDigita University
Author:
Shai Simonson
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This is a comprehensive math textbook for Grade 10. It can be ...

This is a comprehensive math textbook for Grade 10. It can be downloaded, read on-line on a mobile phone, computer or iPad. Every chapter has links to on-line video lessons and explanations. Summary presentations at the end of each chapter offer an overview of the content covered, with key points highlighted for easy revision. Topics covered are: algebraic expressions, equations and inequalities, exponents, number patterns, functions, finance and growth, trigonometry, analytical geometry, statistics, probability, Euclidean geometry, measurements. This book is based upon the original Free High School Science Text series.

Subject:
Finance
Algebra
Functions
Statistics and Probability
Trigonometry
Material Type:
Assessment
Full Course
Homework/Assignment
Lecture
Lesson Plan
Textbook
Provider:
Siyavula
Conditions of Use:
No Strings Attached
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Online Statistics: An Interactive Multimedia Course of Study is an introductory-level statistics ...

Online Statistics: An Interactive Multimedia Course of Study is an introductory-level statistics book. The material is presented both as a standard textbook and as a multimedia presentation. The book features interactive demonstrations and simulations, case studies, and an analysis lab.

Subject:
Mathematics
Material Type:
Case Study
Full Course
Simulation
Textbook
Provider:
Rice University
Author:
David Lane
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Prepare yourself to take an Algebra course with the Algebra2go䋢 prealgebra resources ...

Prepare yourself to take an Algebra course with the Algebra2go䋢 prealgebra resources page. Whether you are attending Saddleback College's prealgebra class (math 351), taking a prealgebra class at another school, or need to refresh your math skills for a business or science class, Professor Perez and his favorite student Charlie have the tools that can help you. We have five primary types of study materials: class notes, video worksheets, video lectures, practice problems, and practice quizzes. For some topics we have some additional tools to assist you.

Subject:
Algebra
Material Type:
Full Course
Homework/Assignment
Lecture
Lecture Notes
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Provider Set:
Individual Authors
Author:
Candice Harrington
Larry Perez
Patrick Quigley
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No Strings Attached
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Elementary Algebra is a work text that covers the traditional topics studied ...

Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.

Subject:
Algebra
Material Type:
Full Course
Textbook
Provider:
Rice University
Provider Set:
OpenStax CNX
Author:
Denny Burzynski
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This text respects the traditional approaches to algebra pedagogy while enhancing it ...

This text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. In addition, textual notation is introduced as a means to communicate solutions electronically throughout the text. While it is important to obtain the skills to solve problems correctly, it is just as important to communicate those solutions with others effectively in the modern era of instant communications.While algebra is one of the most diversely applied subjects, students often find it to be one of the more difficult hurdles in their education. With this in mind, John wrote Elementary Algebra from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success. Elementary Algebra takes the best of the traditional, practice-driven algebra texts and combines it with modern amenities to influence learning, like online/inline video solutions, as well as, other media driven features that only a free online text can deliver.

Subject:
Algebra
Material Type:
Full Course
Textbook
Provider:
The Saylor Foundation
Author:
John Redden
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No Strings Attached
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Human Education is about holistic approach in the preparation of human beings ...

Human Education is about holistic approach in the preparation of human beings to educate the unborn child through adequate care, nutrition and safety, before birth and once born, to enable a growing being to survive the challenges of life as they present themselves. Subjects are geared for critical thinking and for immediate application of acquired knowledge for their own survival, and not only for acquiring a certificate. This is urgent.

Subject:
Applied Science
Arts and Humanities
Career and Technical Education
Education
History
Law
Life Science
Mathematics
Physical Science
Social Science
Material Type:
Full Course
Interactive
Lecture
Lesson Plan
Provider:
OER Commons
Provider Set:
Open Author Resources
Author:
Dr Stranger KGAMPHE
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Elementary Statistics is an introduction to data analysis course that makes use ...

Elementary Statistics is an introduction to data analysis course that makes use of graphical and numerical techniques to study patterns and departures from patterns. The student studies randomness with emphasis on understanding variation, collects information in the face of uncertainty, checks distributional assumptions, tests hypotheses, uses probability as a tool for anticipating what the distribution of data may look like under a set of assumptions, and uses appropriate statistical models to draw conclusions from data. The course introduces the student to applications in engineering, business, economics, medicine, education, the sciences, and other related fields. The use of technology (computers or graphing calculators) will be required in certain applications.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Simulation
Syllabus
Provider:
Foothill-De Anza Community College District
Provider Set:
Sofia
Author:
Barbara Illowsky
Susan Dean
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This course is also intended to provide the student with a strong ...

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)

Subject:
Algebra
Material Type:
Assessment
Full Course
Homework/Assignment
Lecture
Syllabus
Textbook
Provider:
The Saylor Foundation
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Introductory survey of quantitative methods (QM), or the application of statistics in ...

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.

Subject:
Management
Statistics and Probability
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Syllabus
Provider:
The Saylor Foundation
Conditions of Use:
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This is a comprehensive math textbook for Grade 11. It can be ...

Subject:
Finance
Geometry
Trigonometry
Material Type:
Full Course
Homework/Assignment
Lecture
Textbook
Provider:
Siyavula
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In order to assist educators with the implementation of the Common Core, ...

In order to assist educators with the implementation of the Common Core, the New York State Education Department provides curricular modules in P-12 English Language Arts and Mathematics that schools and districts can adopt or adapt for local purposes. The Geometry curriculum is available below.

Subject:
Mathematics
Geometry
Material Type:
Full Course
Provider:
New York State Education Department
Provider Set:
EngageNY
Conditions of Use:
No Strings Attached
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This course has been designed to help students focus learning on specific ...

This course has been designed to help students focus learning on specific areas of improvement. Unlike a typical college course where you would complete lessons in chronological order, this course allows you to focus on specific skills. Modules include: Arithmetic Review, Percents, Geometric Figures, Measurement, and Statistics

Subject:
Geometry
Material Type:
Full Course
Lecture
Provider:
Provider Set:
Rio Commons TAACCCT
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No Strings Attached
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Applied Calculus instructs students in the differential and integral calculus of elementary ...

Applied Calculus instructs students in the differential and integral calculus of elementary functions with an emphasis on applications to business, social and life science. Different from a traditional calculus course for engineering, science and math majors, this course does not use trigonometry, nor does it focus on mathematical proofs as an instructional method.

Subject:
Calculus
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
Dale Hoffman
David Lippman
Shana Calaway
Conditions of Use:
No Strings Attached
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The main goal of Algebra is to develop fluency in working with ...

The main goal of Algebra is to develop fluency in working with linear equations. In this course, students will work with tables, graphs, and equations and solve linear equations and inequalities and systems of linear equations and inequalities. Students will learn how to simplify polynomials and begin to study quadratic relationships, along with analyzing mathematical situations verbally, numerically, graphically, and symbolically. Throughout the course, students will have opportunities to apply mathematical skills and make meaningful connections to lifeŐs experiences.

Subject:
Algebra
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Lesson Plan
Provider:
Author:
Individual Authors
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This course is a continuation of Abstract Algebra I: the student will ...

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)

Subject:
Algebra
Material Type:
Full Course
Provider:
The Saylor Foundation
Conditions of Use:
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This course covers descriptive statistics, the foundation of statistics, probability and random ...

This course covers descriptive statistics, the foundation of statistics, probability and random distributions, and the relationships between various characteristics of data. Upon successful completion of the course, the student will be able to: Define the meaning of descriptive statistics and statistical inference; Distinguish between a population and a sample; Explain the purpose of measures of location, variability, and skewness; Calculate probabilities; Explain the difference between how probabilities are computed for discrete and continuous random variables; Recognize and understand discrete probability distribution functions, in general; Identify confidence intervals for means and proportions; Explain how the central limit theorem applies in inference; Calculate and interpret confidence intervals for one population average and one population proportion; Differentiate between Type I and Type II errors; Conduct and interpret hypothesis tests; Compute regression equations for data; Use regression equations to make predictions; Conduct and interpret ANOVA (Analysis of Variance). (Mathematics 121; See also: Biology 104, Computer Science 106, Economics 104, Psychology 201)

Subject:
Statistics and Probability
Material Type:
Assessment
Full Course
Homework/Assignment
Lecture
Syllabus
Textbook
Provider:
The Saylor Foundation