background preloader

Calculus I

Calculus I
Show Mobile NoticeShow All NotesHide All Notes You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width. Here are the notes for my Calculus I course that I teach here at Lamar University. I’ve tried to make these notes as self-contained as possible and so all the information needed to read through them is either from an Algebra or Trig class or contained in other sections of the notes. Here are a couple of warnings to my students who may be here to get a copy of what happened on a day that you missed. Here is a listing (and brief description) of the material that is in this set of notes. Limits - In this chapter we introduce the concept of limits. Related:  smtechnocratpbnh2000

explains: Calculus (with pics and gifs) PROLOGUE skip this if you want One of the things I managed to teach myself after dropping out of school is calculus. Before I knew what calculus is, merely hearing its name gave me the impression that it is one of the hardest topics in maths, and that I could not possibly learn it by looking into the freely-available resources online. I was wrong. Calculus is just a fanciful name for the study of change in maths. To understand calculus, one needs to be able to visualize the concepts of function, limit, differentiation, and integration. What is a function? A function can be seen as a machine that takes in value and gives you back another value. f(input)=output A function is normally defined by an equation like this: f(x)=x+10 Now if you put 2 into this function you will get 12 in return. f(2)=12 The set of numbers that you can put into a function is known as the domain of the function. What is a limit? Here is an example where the limit (the expected output) is the same as the actual output.

Episode 202: Forces in equilibrium In this episode, students will learn about the conditions for static equilibrium (excluding moments of forces). Summary Demonstration and discussion: The washing line (10 minutes)Student experiment: Forces in different directions (15 minutes)Student experiment: Forces in equilibrium (20 minutes)Worked example and Demonstration (15 minutes)Student activity: An estimation (15 minutes)Student questions: Two problems (30 minutes) Demonstration and Discussion: The washing lineTake 5 m of good strong string. Drawing a vector triangle of the forces will show why the pupils have had such problems. Student should understand that the sum of the vertical components of the tensions in the string is equal in magnitude (and of opposite sign) to the weight hanging from the middle. Similarly, the horizontal components of the tension in the strings are also equal and opposite. You could finish the discussion with a statement of the principles of equilibrium. Episode 202-3: Trolley on a slope (Word, 27 KB)

nathanmarz/pallet-crates Practical Physics | Nuffield Foundation This website is for teachers of physics in schools and colleges. It is a collection of experiments that demonstrate a wide range of physical concepts and processes. Some of the experiments can be used as starting-points for investigations or for enhancement activities. Physics is a practical science. Good quality, appropriate physics experiments and investigations are the key to enhanced learning, and clarification and consolidation of theory. We have published a new set of resources to support the teaching of practical science for Key Stages 3-5. The Markdown Resume Maintaining a resume is one of those annoying tasks that always takes up much more time than it should. Compounding this is the fact that resumes are regularly requested in different formats: raw text, pdf, Microsoft Word, etc. In addition, it might be desirable to have a HTML version online somewhere for added visibility. Christophe-Marie Duquesne has a great blog post in which he shows that using the document translation tool pandoc, you can maintain your resume in markdown format and convert to other formats such as html and Word at will. This is convenient because: This is what a simple resume in markdown format looks like: However, in the above approach the generation of a pdf version (arguably the most important) is problematic. On the other hand, TeX-based typesetting systems are designed for this task. HTML version of the resume: PDF version of the resume: The repository is here (pull requests welcome!) sudo apt-get install pandoc context

Algebra Good Digital Games, Manipulatives, and Puzzles for Algebra: Algeburst: Topics in Algebra for iPad: Simplifying expressions, solving simple equations, using exponent rules (Video Demo of Algeburst)Algeburst: Topics in Arithmetic for iPad: Prealgebra arithmetic skills like signed numbers, fractions, and decimals.Algeburst Lite for iPad: A taste of the two full version apps.Algeboats Lite for iPad: Evaluate algebraic expressions and improve your mental math skills. (Video Demo of Algeboats)Dragonbox for iPad: Solving equations (Video Demo of Dragonbox)Line Gem: Identifying the equation of a line (Video Demo of Line Gem)Factortris: Multiplication tables, Factor pairs (Video Demo of Factortris)Factor Feeder: Number Factors (Video Demo of Factor Feeder)Flower Power: Ordering of decimals, fractions, and percents (Video Demo of Flower Power), NOTE: This game now requires you to set up a teacher account with student sub-accounts for students to play past the “Lite” version.

Background on Geometry Before embarking on trigonometry, there are a couple of things you need to know well about geometry, namely the Pythagorean theorem and similar triangles. Both of these are used over and over in trigonometry. (The diagrams in Dave’s Short Trig Course are illustrated with a Java applet if your browser is Java-enabled. See About the applet for directions. If it is, drag the points in the images on this page to see what you can do.) The Pythagorean theorem Let’s agree again to the standard convention for labeling the parts of a right triangle. The Pythagorean theorem is about right triangles, that is, triangles, one of whose angles is a 90° angle. The Pythagorean theorem states that the square of the hypotenuse is the sum of the squares of the other two sides, that is, This theorem is useful to determine one of the three sides of a right triangle if you know the other two. Likewise, if you know the hypotenuse and one leg, then you can determine the other. Similar triangles

Basic Trigonometry (solutions, examples, videos, games) Related Topics: Trigonometry Worksheets, Trigonometry Games Need some help in Trigonometry? What is Trigonometry? Trigonometry is an important tool for evaluating measurements of height and distance. Basic Trigonometry involves the ratios of the sides of right triangles. These lessons on trigonometry will include the following topics: Basic Trigonometry, Applications of Trigonometry, Trigonometry in the Cartesian Plane, Graphs of Trigonometric Functions, and Trigonometric Identities. Basic Trigonometry Applications of Trigonometry Trigonometry in the Cartesian Plane Graphs of Trigonometric Functions Trigonometric Identities Trigonometry Lessons in Videos A series of free High School Trigonometry Video Lessons. Pythagorean Theorem Basic Trigonometry Trigonometric Functions Advanced Trigonometry Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

MyPaint Physica - Virtual world devoted to science, technology and free educational games online Mecanika is on Kickstarter! Montreal video game studio CREO is launching a Kickstarter campaign. The objective: to adapt the game Mecanika for Android and iOS tablets. Not only fun and compelling, this puzzle game has also shown itself to be very effective in supporting the learning of mechanical physics. In order to create a tablet version of its PC game Mecanika, which was produced in 2011 in collaboration with UQAM (Université du Québec À Montréal), Montreal game studio CREO is launching a crowdfunding campaign on Kickstarter, which opened itself to Canadian projects on the 9th of September. Read more Designed by François Boucher-Genesse, a former game designer on Halo 3 who now holds a master’s degree in educational sciences, the game aims to be both fun and effective in stimulating learning. In Mecanika, players must direct robots – scouts – toward stars. “Mechanical physics are a subject that students find very difficult. Close

Lock-free Data Structures. 1 — Introduction / C++ / Kukuruku / Technology Hub I hope that this article will give a good start for a series of notes about lock-free data structures. I would like to share my experience with community, monitoring and thoughts about what lock-free structures are, how to implement them and whether the concepts of Standard Template Library (STL) containers are suitable for the lock-free containers, and when its worth to apply lock-free data structures. It doesn't make any sense to talk about lock free data structures without covering such topics as atomic operations, memory model in programming languages, safe memory reclamation, compiler and optimizations used by them, modern CPU designs, — all of these topics will be covered more or less in this series. I take it upon myself to tell about all these things, though I don’t consider myself to be an absolute expert in any of them. I will begin with the library appearing. It happened in far 2006. I used to work then for quite a big company that created software for a telco operator.

Numbers and Cannons Game - Best Physics Games from Phyfun Games Numbers and Cannons Game on Phyfun Games Circles And Squares Red and blue balls 2 Annie And Marks Adventure Red and Blue Balls Red and blue balls 2 New Physics Games Box Clever 2 Pirate Booty Launch Ball Super Soccer Star 2 Wheely 8: Aliens Gravity Knight