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Differential Equations with YouTube Examples
http://www.merlot.org/merlot/viewMaterial.htm?id=1017019
'This review book, used in conjunction with free online YouTube videos, is designed to help students prepare for exams, or for selfstudy. The topics covered here are most of the standard topics covered in a first course in differential equations.The chapters and sections of this review book, organized by topics, can be read independently. Each chapter or section consists of three parts: (1) Theory; (2) YouTube Example; and (3) Additional Practice. In Theory, a summary of the topic and associated solution method is given. It is assumed that the student has seen the material before in lecture or in a standard textbook so that the presentation is concise. In YouTube Example, an online YouTube video illustrates how to solve an example problem given in the review book. Students are encouraged to view the video before proceeding to Additional Practice, which provides additional practice exercises similar to the YouTube example. The solutions to all of the practice exercises are given in this review book’s Appendix.For students who selfstudy, or desire additional explanatory materials, a complete set of free lecture notes by the author entitled An Introduction to Differential Equations can be downloaded by clicking HERE. This set of lecture notes also contains links to additional YouTube tutorials. The lecture notes and tutorials have been extensively used by the author over several years when teaching an introductory differential equations course at the Hong Kong University of Science and Technology.'

A Short Course in Predicate Logic
http://www.merlot.org/merlot/viewMaterial.htm?id=1017022
'In my experience students often struggle to understand Predicate Logic: they drown in the complicated notation; they do not understand the difference between syntax and semantics, proof and truth; they do not appreciate the importance of logic within mathematics and formal methods in general. This book was written specifically to address these issues, at the same time presenting a full and rigorous treatment of the subject requiring only basic mathematics.The presentation is based on a course for final year undergraduate students of mathematics, computer science and philosophy supplemented with additional material for masters students. Numerous problems, together with detailed solutions, are provided to consolidate the students' understanding.'

Introduction to Vectors  YouTube classes with Dr Chris Tisdell
http://www.merlot.org/merlot/viewMaterial.htm?id=1017024
'״Introduction to Vectors" takes learning to a new level by combining written notes with online video. Each lesson is linked with a YouTube video from awardwinning teacher and bestselling author Dr Chris Tisdell, where he explains the material in an inspiring and engaging way. Vectors provide a fascinating tool to describe motion and forces in physics and engineering. They also provide a simple framework for understanding geometry. Download the book and subscribe to Dr Chris Tisdell's YouTube channel!'

ACC MAT050 Quantitative Literacy SyllabusBarrettSchnakenburg
http://www.merlot.org/merlot/viewMaterial.htm?id=1013898
MAT050 Develop number sense and critical thinking strategies, introduce algebraic thinking, and connect mathematics to real world applications. Topics in the course include ratios, proportions, percents, measurement, linear relationships, properties of exponents, polynomials, factoring, and math learning strategies. This course prepares students for Math for Liberal Arts, Statistics, Integrated Math, and college level career math courses.

ACC MAT055 Algebraic Literacy
http://www.merlot.org/merlot/viewMaterial.htm?id=1013880
This course develops algebraic skills necessary for manipulating expressions and solving equations. Topics in the course include radicals, complex numbers, polynomials, factoring, rational expressions, quadratic equations, absolute value equations and inequalities, systems of linear equations, related applications, and math learning strategies. This course prepares students for College Algebra and Finite Math. MAT 055 is designed to prepare students for MAT121. It is a four credit class. Students should plan between 8 and 12 hours outside of class each week to learn the material and be successful.

PCC MAT050 Quantitative Literacy SyllabusSandoval
http://www.merlot.org/merlot/viewMaterial.htm?id=1013888
Develop number sense and critical thinking strategies, introduce algebraic thinking, and connect mathematics to real world applications. Topics in the course include ratios, proportions, percents, measurement, linear relationships, properties of exponents, polynomials, factoring, and math learning strategies. This course prepares students for Math for Liberal Arts, Statistics, Integrated Math, and college level career math courses.

CNCC MAT050 Quantitative Literacy SyllabusHarper
http://www.merlot.org/merlot/viewMaterial.htm?id=1014114
Develop number sense and critical thinking strategies, introduce algebraic thinking, and connect mathematics to real world applications. Topics in the course include ratios, proportions, percents, measurement, linear relationships, properties of exponents, polynomials, factoring, and math learning strategies. This course prepares students for Math for Liberal Arts, Statistics, Integrated Math, and college level career math courses.

Elementary Algebra Textbook (Second Edition: 20122013)
http://www.merlot.org/merlot/viewMaterial.htm?id=1013320
Elementary Algebra (Algebra 1) textbook designed for a onesemester course for college students. Precollege level mathematics (developmental mathematics).Available online and in print ($20 lulu.com). Online, entire textbook can be downloaded (pdf) or each chapter separately. Answers included for oddnumbered problems. Student Solutions Manual available as a separate file. Online version includes "You Try It" feature. Printed version is blackandwhite only.All parts of this Elementary Algebra Textbook (Second Edition: 20122013) are copyrighted in the name Department of Mathematics, College of the Redwoods. They are not in the public domain. However, they are being made available free for use in educational institutions. This offer does not extend to any application that is made for profit. Users who have such applications in mind should contact David Arnold or Bruce Wagner at DavidArnold@redwoods.edu or BruceWagner@redwoods.edu.This work (including all text, photographs, Portable Document Format files, and any other original works), except where otherwise noted, is licensed under a Creative Commons AttributionNonCommercialShareAlike 3.0 Unported License, and is copyrighted © 2011, Department of Mathematics, College of the Redwoods. Online practice exercises to accompany the textbook are available at http://mathrev.redwoods.edu/cgibin/online/s15/OTcreatepracticequiz.cgi?course=math380

Introduction to mathematical analysis
http://www.merlot.org/merlot/viewMaterial.htm?id=1010277
Our goal in this set of lecture notes is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs. The lecture notes contain topics of real analysis usually covered in a 10week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many wellselected exercises of various levels. Although these topics are written in a more abstract way compared with those available in some textbooks, teachers can choose to simplify them depending on the background of the students. For instance, rather than introducing the topology of the real line to students, related topological concepts can be replaced by more familiar concepts such as open and closed intervals. Some other topics such as lower and upper semicontinuity, differentiation of convex functions, and generalized differentiation of nondifferentiable convex functions can be used as optional mathematical projects. In this way, the lecture notes are suitable for teaching students of different backgrounds.

IPython notebooks on MIT OCW Course 18.06 Linear Algebra
http://www.merlot.org/merlot/viewMaterial.htm?id=1008797
A set of IPython notebooks (Jupyter) for the Massachusetts Institue of Technology (MIT) OpenCourseWare (OCW) series 18.06 on Linear Algebra by Gilbert Strang.These notebooks are available as HTML previews, PDF printouts, and the actual Ipython files. It is both study notes for linear algebra, as well as a resource to learn how to use python™ to do linear algebra.These IPython notebooks have a Creative Commons Licence as are made available with the permission of Gilbert Strang.