Mathematics Textbooks and Full Courses

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Mathematics Textbooks and Full Courses Collection Resources (295)

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Abstract Algebra II
Conditions of Use:
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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
Advanced Algebra II: Activities and Homework
Conditions of Use:
No Strings Attached
Rating

This is the main text of Kenny Felder's course in Advanced Algebra II. It consists of a series of worksheets, some intended to be used in class as group activities, and some intended to be used as homework assignments. This text is designed for use with the "Advanced Algebra II: Conceptual Explanations" and the "Advanced Algebra II: Teacher's Guide" collections to make up the entire course.

Subject:
Algebra
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Provider:
Rice University
Provider Set:
Connexions
Author:
Kenny Felder
Advanced Algebra II: Teacher's Guide
Conditions of Use:
No Strings Attached
Rating

This is the Teacher's Guide for Kenny Felder's course in Advanced Algebra II. This guide is *not* an answer key for the homework problems: rather, it is a day-by-day guide to help the teacher understand how the author envisions the materials being used. This text is designed for use with the "Advanced Algebra II: Conceptual Explanations" and the "Advanced Algebra II: Homework and Activities" collections (coming soon) to make up the entire course.

Subject:
Algebra
Material Type:
Full Course
Teaching/Learning Strategy
Provider:
Rice University
Provider Set:
Connexions
Author:
Kenny Felder
Advanced Partial Differential Equations with Applications, Fall 2009
Conditions of Use:
Remix and Share
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" The focus of the course is the concepts and techniques for solving the partial differential equations (PDE) that permeate various scientific disciplines. The emphasis is on nonlinear PDE. Applications include problems from fluid dynamics, electrical and mechanical engineering, materials science, quantum mechanics, etc."

Subject:
Algebra
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Rosales, Rodolfo R.
Advanced Statistics
Conditions of Use:
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Rating

This course is oriented toward US high school students. The course is divided into 10 units of study. The first five units build the foundation of concepts, vocabulary, knowledge, and skills for success in the remainder of the course. In the final five units, we will take the plunge into the domain of inferential statistics, where we make statistical decisions based on the data that we have collected.

Subject:
Statistics and Probability
Material Type:
Full Course
Provider:
The Saylor Foundation
Algebra
Conditions of Use:
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This course discusses how to use algebra for a variety of everyday tasks, such as calculate change without specifying how much money is to be spent on a purchase, analyzing relationships by graphing, and describing real-world situations in business, accounting, and science.

Subject:
Algebra
Material Type:
Full Course
Provider:
The Saylor Foundation
Algebra 1 (A)
Conditions of Use:
No Strings Attached
Rating

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:
Mountain Heights Academy
Author:
Individual Authors
Algebra 1 (B)
Conditions of Use:
No Strings Attached
Rating

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:
Mountain Heights Academy
Author:
Individual Authors
Algebra 2 (A)
Conditions of Use:
No Strings Attached
Rating

Algebra 2 builds upon and extends concepts from both Algebra 1 and Geometry. In Algebra 2, students work with equations, inequalities, and graphs of linear, quadratic, trigonometric, rational, radical, exponential, and logarithmic functions. Real-world applications that can be modeled by each of these functions are explored. Algebra 2 also introduces students to concepts of probability and statistics.

Subject:
Algebra
Statistics and Probability
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Lesson Plan
Provider:
Mountain Heights Academy
Author:
Individual Authors
Algebra 2 (B)
Conditions of Use:
No Strings Attached
Rating

Algebra 2 builds upon and extends concepts from both Algebra 1 and Geometry. In Algebra 2, students work with equations, inequalities, and graphs of linear, quadratic, trigonometric, rational, radical, exponential, and logarithmic functions. Real-world applications that can be modeled by each of these functions are explored. Algebra 2 also introduces students to concepts of probability and statistics.

Subject:
Algebra
Statistics and Probability
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Lesson Plan
Provider:
Mountain Heights Academy
Author:
Individual Authors
Algebra2Go - Prealgebra
Conditions of Use:
Remix and Share
Rating

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
Provider:
Saddleback College
Provider Set:
Individual Authors
Author:
Candice Harrington
Larry Perez
Patrick Quigley
Algebra2go:  Decimals
Conditions of Use:
Remix and Share
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Part of the course for community college students featuring Professor Perez and his student Charlie, teaching about decimal concepts and operations.

Subject:
Algebra
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Lecture
Provider:
Saddleback College
Provider Set:
Individual Authors
Author:
Candice Harrington
Larry Perez
Patrick Quigley
Algebra2go- PreAlgebra - Intro to Subtraction
Conditions of Use:
Remix and Share
Rating

This course is for community college students featuring Professor Perez and his student Charlie. This lesson demonstrates subtraction, including when the answer is negative, on the number line.

Subject:
Algebra
Material Type:
Assessment
Full Course
Lecture
Lecture Notes
Provider:
Saddleback College
Provider Set:
Individual Authors
Author:
Candice Harrington
Larry Perez
Patrick Quigley
Algebra2go: Pre-algebra Conversions
Conditions of Use:
No Strings Attached
Rating

This is part of the course for community college students featuring Professor Perez and his student Charlie, teaching how to make conversions between different kinds of units.

Subject:
Algebra
Material Type:
Activity/Lab
Full Course
Lecture
Unit of Study
Provider:
Saddleback College
Provider Set:
Individual Authors
Author:
Candice Harrington
Larry Perez
Patrick Quigley
Algebra A (A)
Conditions of Use:
No Strings Attached
Rating

Algebra A (A) is the first semester of Algebra A.ĘAlgebra A and Algebra B make up a two-year Algebra program. The main goal of Algebra is to develop fluency in working with linear equations. This 2 year program gives students the opportunity to study, learn, and practice algebraic concepts at a pace that allows additional learning activities, projects, and discussions. In this course, students will work with tables, graphs, and equations and solve linear equations and inequalities and systems of linear equations and inequalities. 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:
Mountain Heights Academy
Author:
Individual Authors
Algebra B (A)
Conditions of Use:
No Strings Attached
Rating

Algebra B (A) is the first semester of Algebra B.Algebra A and Algebra B make up a two-year Algebra program. The main goal of Algebra is to develop fluency in working with linear equations. This 2 year program gives students the opportunity to study, learn, and practice algebraic concepts at a pace that allows additional learning activities, projects, and discussions. In this course, students will work with tables, graphs, and equations and solve linear equations and inequalities and systems of linear equations and inequalities. 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:
Mountain Heights Academy
Author:
Individual Authors
Algebra I
Conditions of Use:
Read the Fine Print
Rating

This course is oriented toward US high school students. Its structure and materials are aligned to the US Common Core Standards. Foci include: graphing, equations and inequalities.

Subject:
Algebra
Material Type:
Full Course
Provider:
The Saylor Foundation
Algebra II, Spring 2011
Conditions of Use:
Remix and Share
Rating

This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory.

Subject:
Algebra
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Artin, Michael