Basic Analysis: Introduction to Real Analysis
This free online textbook is a one semester course in basic analysis. These were my lecture notes for teaching Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in fall 2009. The course is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A Sample Darboux sums prerequisite for the course is a basic proof course. The course does not cover topics such as metric spaces, which a more advanced course woul
Emerging Perspectives on Learning, Teaching, and Technology
I started this book in 2001 with a core group of doctoral students. The initial version included 12 chapters with no animations and very few images. Each semester, I ask my current students who are using this book as their required text in my class to improve on the book by either making animations, recorded presentations, graphics, editing, or various other contributions (there is no such thing as a completely free book!). It has been in HTML until May 2007 when we converted it to this Wiki. I
AP Calculus BC
AP Calculus BC is organized into 7 units (4 units in the first semester and 3 units in the second semester). The lessons in each unit include: Readings, Multimedia (lessons), Assignments, and Assessments.designed to acquaint you with calculus principles such as derivatives, integrals, limits, approximation, applications and modeling, and sequences and series. Students will: be able to work with functions represented in a variety of ways; understand the connections among graphical, numerical, ana
AP Physics B
This content is assembled from UC-approved college prep courses and is designed to acquaint students with topics in Newtonian mechanics, including: kinematics, laws of motion, work and energy, systems of particles, momentum, circular motion, oscillations, and gravitation. The course covers two semesters. The first semester includes fluid mechanics, thermal physics, and kinetic theory. The second semester discusses electricity and magnetism, waves and optics, and atomic and nuclear physics. The c
AP Physics C
This content is assembled from UC-approved college prep courses and is designed to acquaint students with topics in mechanics and classical electricity and magnetism. The course covers two semesters. The first semester is devoted to Newtonian mechanics, including: kinematics, laws of motion, work and energy, systems of particles, momentum, circular motion, oscillations, and gravitation. The second semester discusses the topics of electricity and magnetism. The course emphasizes problem solving i
AP U.S. Government & Politics
The UCCP Advanced Placement (AP) US Government and Politics course is a one semester survey of American Government and Politics covering the Constitution, political beliefs, political parties, interest groups, institutions of government, public policy and civil rights. Emphasis is placed on critical and evaluative thinking skills, essay writing, and interpretation of original documents. This curriculum covers all of the material outlined by the College Board as necessary to prepare you to pass t
This one semester course covers some of the principal areas and concepts of modern psychology. Topics include research methodology, learning, perception, social interaction, personality, intelligence, social development and psychopathology.
Action Research for Educational, Professional, and Personal Change, Fall 2007
This course covers techniques for and critical thinking about the evaluation of changes in educational practices and policies in schools, organizations, and informal contexts. Topics include quantitative and qualitative methods for design and analysis, participatory design of practices and policies, institutional learning, the wider reception or discounting of evaluations, and selected case studies, including those arising from semester-long student projects.
Writing for Children (Part 1)
This is the first of a two-session part of the Writing for Children unit and aims to give you an understanding of what age group / stage you want to write for and appropriateness of such. Why is this so important? Writing for children requires the ability to identify the appropriate age group to which to match your story. This session will also introduce you to the varied styles and genres of children's books.
Junior Solar Sprint and Hydrogen Fuel Cell Car Competitions
The National Renewable Energy Laboratory hosts the U.S. Department of Energy's Junior Solar Sprint/Hydrogen Fuel Cell (JSS/HFC) Car Competitions. Middle School teams from all over the Colorado Region participate in this fun, educational and exciting event. Teams work together building solar and/or hydrogen fuel cell cars with guidance from a parent or teacher coach to compete in race and design categories. A "Spirit Award" is also presented to the team recognized for good sportsmanship. Building
A First Course in Complex Analysis
These are the lecture notes of a one-semester undergraduate course which we taught at SUNY Binghamton. For many of our students, Complex Analysis is their first rigorous analysis (if not mathematics) class they take, and these notes reflect this very much. We tried to rely on as few concepts from real analysis as possible. In particular, series and sequences are treated "from scratch." This also has the (maybe disadvantageous) consequence that power series are introduced very late in the course.
Voice-leading analysis of music 3: the background
The music of Mozart has been used to examine the foreground and middleground of harmony in units AA314_1 and AA314_2. Now you will use Beethoven's Eighth Symphony to consider the largest-scale stage of voice-leading analysis.
To Freeze or Not to Freeze - Staging Frozen Tableaux Inspired by Shakespeare
In this lesson, students learn how theatrical elements can transcend the language of a play. They then collaborate in groups to stage frozen tableaux based on lines from Shakespeare's works.
Civil War Archeology: Investigating the Battles of Wilson's Creek and Pea Ridge
This site examines archeological techniques used to explore these two battle sites. These battles, fought in Missouri and Arkansas in 1861 and 1862, helped keep Missouri in the Union and set the stage for the Union to gain control of most lands west of the Mississippi by 1863.
Scientific Ethics and the Signs of Voodoo Science
Until recently, the issue of research ethics had not been a subject of explicit discussion within the Physics community. Over the past ten years, however, documented cases of scientific fraud have brought this issue to center stage. We will explore, through case studies, some examples ranging from poor ...
"Frameworks and Models in Engineering Systems / Engineering System Design, Spring 2007"
" This class provides an introduction to quantitative models and qualitative frameworks for studying complex engineering systems. Also taught is the art of abstracting a complex system into a model for purposes of analysis and design while dealing with complexity, emergent behavior, stochasticity, non-linearities and the requirements of many stakeholders with divergent objectives. The successful completion of the class requires a semester-long class project that deals with critical contemporary
"Special Topics: Computational Camera and Photography, Fall 2008"
" A computational camera attempts to digitally capture the essence of visual information by exploiting the synergistic combination of task-specific optics, illumination, sensors and processing. In this course we will study this emerging multi-disciplinary field at the intersection of signal processing, applied optics, computer graphics and vision, electronics, art, and online sharing through social networks. If novel cameras can be designed to sample light in radically new ways, then rich and us
"Designing Your Life, Spring 2009"
" This course provides an exciting, eye-opening, and thoroughly useful inquiry into what it takes to live an extraordinary life, on your own terms. The instructors address what it takes to succeed, to be proud of your life, and to be happy in it. Participants tackle career satisfaction, money, body, vices, and relationship to themselves. They learn how to confront issues in their lives, how to live life, and how to learn from it. A short version of this course meets during the Independent Activ
"Electromagnetic Field Theory: A Problem Solving Approach, Spring 2008"
" This text is an introductory treatment on the junior level for a two-semester electrical engineering course starting from the Coulomb-Lorentz force law on a point charge. The theory is extended by the continuous superposition of solutions from previously developed simpler problems leading to the general integral and differential field laws. Often the same problem is solved by different methods so that the advantages and limitations of each approach becomes clear. Sample problems and their solu
Prototype development: try, try again...
This electronic publication offers middle school teachers select resources that they can use when teaching about the prototype development stage of the design process. Engineers engage in the design process when they are developing new products.