LibGuides: Open Educational Resources by Discipline: Statistics and Calculus

Textbooks

Active Calculus
from Open Textbook Library
Calculus I (Elementary Calculus)
from Open Textbook Library
Calculus II
from Open Textbook Library
Calculus III
from Open Textbook Library
Collaborative Statistics
from Open Textbook Library
Introductory Statistics
from Open Textbook Library
Introductory Statistics ddd
from OpenStax
Pre-Calculus
from OpenStax
Calculus American Institute
There are eleven chapters beginning with analytic geometry and ending with sequences and series. The book covers the standard material in a one variable calculus course for science and engineering
Introduction to Probability
Text for a first course in probability assuming some understanding of calculus
Calculus
from Boundless
Statistics
from Boundeless
PreCalculus
from Orange Grove
OpenIntro Statistics
OpenIntro Statistics strives to be a complete introductory textbook of the highest caliber. Its core derives from the classic notions of statistics education and is extended by recent innovations. The textbook meets high quality standards and has been used at Princeton, Vanderbilt, UMass Amherst, and many other schools.

OpenIntro Statistics was written to allow exibility in choosing and ordering course topics. The material is divided into two pieces: main text and special topics. The main text has been structured to bring statistical inference and modeling closer to the front of a course. Special topics, labeled in the table of contents and in section titles, may be added to a course as they arise naturally in the curriculum.

Khan Academy

Calculus
Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first
Probability and Statistics
Covers probability, differential and inferential statistics, random variables, regression, and many other topics.

Ted Talks: Statistics and Calculus

Teach Statistics before Calculus
Arthur Benjamin offers a bold proposal on how to make math education relevant in the digital age.
Making Sense of Too Much Data
"It's the age of Big Data. But what, exactly, do we do with all this information? These talks explore practical, ethical — and spectacularly visual — ways to understand near-infinite data."
What's the Best Way to Learn Algebra, Math, Precalculus, Calculus?
"What is the best way to learn this subjects? how can we learn it in easy and fun way? what is the best resources for it?."
Lies, Damned Lies, and Statistics
"After making a splash in the field of bioinformatics, Sebastian Wernicke moved on to the corporate sphere, where he motivates and manages multidimensional projects"
Calculus and he New Forms of Architecture
Greg Lynn talks about the mathematical roots of architecture — and how calculus and digital tools allow modern designers to move beyond the traditional building forms.

CosmoLearning

"To collect educational and cultural resources to create a
free online school, empowering people with access to a world-class education at no cost."

Exercises & Worksheets

S.O.S. Mathematics/Calculus
"S.O.S. MATHematics is your free resource for math review material from Algebra to Differential Equations!
The perfect study site for high school, college students and adult learners."
Calculus of the Dinner Table
"Calculus students are presented with a write-pair-share activity that initially involves the construction of a model based on direct variation and later involves the use of calculus as a means by which to analyze the model."

Quizzes

Cyber Exams
CyberExam is a place for students to take practice tests, midterm exams, final exams, quizzes for Pre-Calculus and Calculus.

Saylor Foundation

Saylor is a unique resource that can be used in a couple of different ways.

Anyone wanting to take a class and not get any credit can take a "course" at Saylor.
Resources that they use can be viewed to incorporate into your class.
Students can use this as supplemental material.

The Following is a list of courses on Calculus and Statistics:

Single Variable Calculus I
"This course is designed to introduce you to the study of calculus. You will learn concrete applications of how calculus is used and, more importantly, why it works"
Single Variable Calculus II
"This course is the second installment of Single-Variable Calculus. In Part I (MA101), we studied limits, derivatives, and basic integrals as a means to understand the behavior of functions. In this course (Part II), we will extend our differentiation and integration abilities and apply the techniques we have learned."
Introduction to Statistics
"The purpose of this course is to introduce you to the subject of statistics as a science of data. There is data abound in this information age; how to extract useful knowledge and gain a sound understanding in complex data sets has been more of a challenge."
Statistics II
"This course will introduce you to a number of statistical tools and techniques that are routinely used by modern statisticians for a wide variety of applications. First, we will review basic knowledge and skills that you learned in MA121: Introduction to Statistics."

Open Course Library

Open Course Library was developed by the Washington State Board for Community and Technical Colleges and is funded by the Bill & Melinda Gates Foundation and the Washington State Legislature. This material is created under a Creative Commons license with the intent that you take it and make it your own.

Introduction to Statistics
"In this course, we will introduce some of the more common tools for analyzing data
of several types. "
Calculus I
"Calculate or estimate limits of functions given by formulas, graphs, or tables; also using
properties of limits and L’hopital’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 your answer."
Calculus II
"Continues the study of integration, emphasizing applications and special techniques. Students work with algebraic and transcendental functions"

Simulations

Statcato
"Statcato is a free Java software application developed for elementary statistical computations. Its features are tailored for community college statistics students and instructors."

Wolfram MathWorld

GeoGebra

GeoGebra
From elementary school to university level
Interactive geometry, algebra, statistics, and calculus software
Tens of thousands of free materials

Statistical Associations

American Statistical Association
The American Statistical Association is the world’s largest community of statisticians.""Our members serve in industry, government, and academia in more than 90 countries..."
Institute of Mathematical Statistics
"Purpose of the Institute is to foster the development and dissemination of the theory and applications of statistics and probability."
Natiional Institute of Statistical Sciences
The mission of NISS is to identify, catalyze and foster high-impact cross-disciplinary research involving the statistical sciences."

Mathematical Associations

American Mathematical Society
The AMS, founded in 1888 to further the interests of mathematical research and scholarship, serves the national and international community through its publications, meetings, advocacy and other programs, which promote mathematical research, its communication and uses, encourage and promote the transmission of mathematical understanding and skills, support mathematical education at all levels, advance the status of the profession of mathematics, encouraging and facilitating full participation of all individuals, foster an awareness and appreciation of mathematics and its connections to other disciplines and everyday life.
Mathematical Association of America
"The Mathematical Association of America is the largest professional society that focuses on mathematics accessible at the undergraduate level. Our members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia"

Open Educational Resources by Discipline