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# Mathematics Textbooks and Full Courses

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I designed the course for graduate students who use statistics in their research, plan to use statistics, or need to interpret statistical analyses performed by others. The primary audience are graduate students in the environmental sciences, but the course should benefit just about anyone who is in graduate school in the natural sciences. The course is not designed for those who want a simple overview of statistics; well learn by analyzing real data. This course or equivalent is required for UMB Biology and EEOS Ph.D. students. It is a recommended course for several of the intercampus graduate school of marine science program options.

Subject:
Mathematics
Statistics and Probability
Material Type:
Full Course
Provider:
UMass Boston
Provider Set:
UMass Boston OpenCourseWare
Author:
Eugene Gallagher
10/13/2017
Rating
0.0 stars

This is an activity about comparing images of the Sun in different wavelengths of light. Learners will examine solar images taken by the SOHO spacecraft to look for differences in the features that are visible in the various wavelengths of light. This activity requires access to the internet to view or print images of the Sun. This is Activity 7 of the Sun As a Star afterschool curriculum.

Subject:
Career and Technical Education
Mathematics
Technology and Engineering
Material Type:
Activity/Lab
Data Set
Diagram/Illustration
Full Course
Lesson Plan
Provider:
NASA
Provider Set:
NASA Wavelength
10/13/2017
Unrestricted Use
CC BY
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0.0 stars

This course is an arithmetic course intended for college students, covering whole numbers, fractions, decimals, percents, ratios and proportions, geometry, measurement, statistics, and integers using an integrated geometry and statistics approach. The course uses the late integers modelintegers are only introduced at the end of the course.

Subject:
Mathematics
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
David Lippman
10/13/2017
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

The subject of enumerative combinatorics deals with counting the number of elements of a finite set. For instance, the number of ways to write a positive integer n as a sum of positive integers, taking order into account, is 2n-1. We will be concerned primarily with bijective proofs, i.e., showing that two sets have the same number of elements by exhibiting a bijection (one-to-one correspondence) between them. This is a subject which requires little mathematical background to reach the frontiers of current research. Students will therefore have the opportunity to do original research. It might be necessary to limit enrollment.

Subject:
Mathematics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Stanley, Richard
01/01/2003
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

The Art of the Probable" addresses the history of scientific ideas, in particular the emergence and development of mathematical probability. But it is neither meant to be a history of the exact sciences per se nor an annex to, say, the Course 6 curriculum in probability and statistics. Rather, our objective is to focus on the formal, thematic, and rhetorical features that imaginative literature shares with texts in the history of probability. These shared issues include (but are not limited to): the attempt to quantify or otherwise explain the presence of chance, risk, and contingency in everyday life; the deduction of causes for phenomena that are knowable only in their effects; and, above all, the question of what it means to think and act rationally in an uncertain world. Our course therefore aims to broaden students’ appreciation for and understanding of how literature interacts with--both reflecting upon and contributing to--the scientific understanding of the world. We are just as centrally committed to encouraging students to regard imaginative literature as a unique contribution to knowledge in its own right, and to see literary works of art as objects that demand and richly repay close critical analysis. It is our hope that the course will serve students well if they elect to pursue further work in Literature or other discipline in SHASS, and also enrich or complement their understanding of probability and statistics in other scientific and engineering subjects they elect to take.

Subject:
English Language Arts
Fine Arts
Literature
Mathematics
Philosophy
Religious Studies
Social Studies
Statistics and Probability
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Jackson, Noel
Kibel, Alvin
Raman, Shankar
01/01/2008
Unrestricted Use
CC BY
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0.0 stars

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
Mathematics
Material Type:
Full Course
Provider:
The Saylor Foundation
10/13/2017
Unrestricted Use
CC BY
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0.0 stars

This course covers a range of algebraic topics:  Setting up and solving linear equations, graphing, finding linear relations, solving systems of equations, working with polynomials, factoring, working with rational and radical expressions, solving rational and radical equations, solving quadratic equations, and working with functions.  More importantly, this course is intended to provide you with a solid foundation for the rest of your math courses.  As such, emphasis will be placed on mathematical reasoning, not just memorizing procedures and formulas. There is enough content in this course to cover both beginning and intermediate college-level algebra.

Subject:
Algebra
Mathematics
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
Tyler Wallace
10/13/2017
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

This course covers sensing and measurement for quantitative molecular/cell/tissue analysis, in terms of genetic, biochemical, and biophysical properties. Methods include light and fluorescence microscopies; electro-mechanical probes such as atomic force microscopy, laser and magnetic traps, and MEMS devices; and the application of statistics, probability and noise analysis to experimental data.

Subject:
Biology
Career and Technical Education
Life Science
Mathematics
Statistics and Probability
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
So, Peter
01/01/2006
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

" BLOSSOMS stands for Blended Learning Science or Math Studies. It is a project sponsored by MIT LINC (Learning International Networks Consortium) a consortium of educators from around the world who are interested in using distance and e-Learning technologies to help their respective countries increase access to quality education for a larger percentage of the population.BLOSSOMS Online"

Subject:
Mathematics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Larson, Richard C.
10/13/2017
Rating
0.0 stars

In this project students are given a list of supplies and a budget and expected to build their dream home with no limitations.  So they do have a certain amount set for their budget as well as certain things set with rooms and sizes other than that the sky is the limit for them!

Subject:
Mathematics
Material Type:
Full Course
Lesson
Lesson Plan
Self Assessment
Provider:
Nicole Beardsley
Author:
Nicole Beardsley
03/28/2018
Unrestricted Use
CC BY
Rating
0.0 stars

This course provides an introduction to applied concepts in Calculus that are relevant to the managerial, life, and social sciences. Students should have a firm grasp of the concept of functions to succeed in this course. Topics covered include derivatives of basic functions and how they can be used to optimize quantities such as profit and revenues, as well as integrals of basic functions and how they can be used to describe the total change in a quantity over time.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
10/13/2017
Unrestricted Use
CC BY
Rating
0.0 stars

MATH&148 is a calculus course for business students. It is designed for students who want a brief course in calculus. Topics include differential and integral calculus of elementary functions. Problems emphasize business and social science applications. Translating words into mathematics and solving word problems are emphasized over algebra. Applications are mainly business oriented (e.g. cost, revenue, and profit). Mathematical theory and complex algebraic manipulations are not mainstays of this course, which is designed to be less rigorous than the calculus sequence for scientists and engineers. Topics are presented according to the rule of four: geometrically, numerically, analytically, and verbally. That is, symbolic manipulation must be balanced with graphical interpretation, numerical examples, and writing. Trigonometry is not part of the course.

Subject:
Calculus
Mathematics
Material Type:
Assessment
Full Course
Syllabus
Textbook
Provider:
Washington State Board for Community & Technical Colleges
Provider Set:
Open Course Library
10/13/2017
Unrestricted Use
CC BY
Rating
0.0 stars

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:
Career and Technical Education
Marketing, Management and Entrepreneurship
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Syllabus
Provider:
The Saylor Foundation
10/13/2017
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

Includes chapters on: Basics of Geometry, Reasoning and Proof, Parallel and Perpendicular Lines, Triangles and Congruence, Relationships with Triangles, Polygons and Quadrilaterals, Similarity, Right Triangle Trigonometry, Circles, Perimeter and Area, Surface Area and Volume, Rigid Transformations.

Subject:
Geometry
Mathematics
Material Type:
Textbook
10/15/2014
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

This Geometry Concept Collection is a rigorous presentation of high school geometry. It is fully correlated with the Common Core State Standards.

Subject:
Geometry
Mathematics
Material Type:
Full Course
Homework/Assignment
Interactive
Lecture Notes
Lesson Plan
Textbook
Unit of Study
Provider:
CK–12
Provider Set:
Individual Authors
Author:
Kaitlyn Spong
10/13/2017
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.

In addition to the Textbook, there is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
M.I.T.
Author:
Gilbert Strang
01/01/1991
Unrestricted Use
CC BY
Rating
0.0 stars

Calculus is the mathematics of CHANGE and almost everything in our world is changing. In this course, you will investigate limits and how they are used to calculate rate of change at a point, define the continuity of a function and how they are used to define derivatives. Definite and indefinite integrals and their applications are covered, including improper integrals. Late in the course, you will find Calculus with parametric equations and polar coordinates, sequences and series, and vectors.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
Dale Hoffman
David Lippman
Jeff Eldridge
Melonie Rasmussen
10/13/2017
Conditional Remix & Share Permitted
CC BY-SA
Rating
0.0 stars

Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students.

Subject:
Calculus
Mathematics
Physical Science
Physics
Material Type:
Textbook
Provider:
Saint Anselm College
Author:
Jeffrey
Schnick
11/09/2017
Unrestricted Use
CC BY
Rating
0.0 stars

Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students

Subject:
Calculus
Mathematics
Physical Science
Physics
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Jeffrey W. Schnick
10/28/2014
Unrestricted Use
CC BY
Rating
0.0 stars

This course begins with a review of algebra specifically designed to help and prepare the student for the study of calculus, and continues with discussion of functions, graphs, limits, continuity, and derivatives. The appendix provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over. Upon successful completion of this course, the student will be able to: calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and LĺÎĺ_ĺĚĺ_hopitalĺÎĺ_ĺĚĺ_s Rule; state whether a function given by a graph or formula is continuous or differentiable at a given point or on a given interval and justify the answer; calculate average and instantaneous rates of change in context, and state the meaning and units of the derivative for functions given graphically; calculate derivatives of polynomial, rational, common transcendental functions, and implicitly defined functions; apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems, and calculate slopes and rates for function given as parametric equations; find extreme values of modeling functions given by formulas or graphs; predict, construct, and interpret the shapes of graphs; solve equations using NewtonĺÎĺ_ĺĚĺ_s Method; find linear approximations to functions using differentials; festate in words the meanings of the solutions to applied problems, attaching the appropriate units to an answer; state which parts of a mathematical statement are assumptions, such as hypotheses, and which parts are conclusions. 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 005)

Subject:
Calculus
Functions
Mathematics
Material Type:
Assessment
Full Course