Differential Equations Differential Equations (Math 3301) Here are my online notes for my differential equations course that I teach here at Lamar University. Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn how to solve differential equations or needing a refresher on differential equations. 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 a Calculus or Algebra class or contained in other sections of the notes. A couple of warnings to my students who may be here to get a copy of what happened on a day that you missed. Because I wanted to make this a fairly complete set of notes for anyone wanting to learn differential equations I have included some material that I do not usually have time to cover in class and because this changes from semester to semester it is not noted here. Here is a listing and brief description of the material in this set of notes. Basic Concepts
The AP Calculus BC Exam Exam Content In 1956, 386 students took what was then known as the AP Mathematics Exam. By 1969, still under the heading of AP Mathematics, it had become Calculus AB and Calculus BC. The Calculus BC exam covers the same differential and integral calculus topics that are included in the Calculus AB exam, plus additional topics in differential and integral calculus, and polynomial approximations and series. This is material that would be included in a two-semester calculus sequence at the college level. Because graphing calculator use is an integral part of the course, the exam contains questions that require students to use a graphing calculator. If students take the BC exam, they cannot take the AB exam in the same year because the exams share some questions. Multiple-Choice Questions For sample multiple-choice questions, refer to the Course Description. AP Calculus Course Description, Effective Fall 2012 (.pdf/2.28MB) Free-Response Questions AP Calculus Free-Response Question Collections
CALCULUS.ORG THE CALCULUS PAGE PROBLEMS LIST Problems and Solutions Developed by : D. A. And brought to you by : Beginning Differential Calculus : Problems on the limit of a function as x approaches a fixed constant limit of a function as x approaches plus or minus infinity limit of a function using the precise epsilon/delta definition of limit limit of a function using l'Hopital's rule ... Beginning Integral Calculus : Problems using summation notation Problems on the limit definition of a definite integral Problems on u-substitution Problems on integrating exponential functions Problems on integrating trigonometric functions Problems on integration by parts Problems on integrating certain rational functions, resulting in logarithmic or inverse tangent functions Problems on integrating certain rational functions by partial fractions Problems on power substitution Problems on integration by trigonometric substitution ... Sequences and Infinite Series :
Calculus, Contemporary Calculus, Hoffman Contemporary Calculus Dale HoffmanBellevue Collegedhoffman@bellevuecollege.edu A free on-line calculus text Many of these materials were developed for the Open Course Library Project of the Washington State Colleges as part of a Gates Foundation grant. The goal of this project was to create materials that would be FREE (on the web) to anyone who wanted to use or modify them (and not have to pay $200 for a calculus book). They have been used by several thousand students. The textbook sections, in color, are available free in pdf format at the bottom of this page. The links below are to pdf files. Chapter 0 -- Review and Preview Chapter 1 -- Functions, Graphs, Limits and Continuity Chapter 2 -- The Derivative Chapter 3 -- Derivatives and Graphs Chapter 4 -- The Integral Chapter 5 -- Applications of Definite Integrals Chapter 6 -- Introduction to Differential Equations Chapter 7 -- Inverse Trigonometric Functions Chapter 8 -- Improper Integrals and Integration Techniques
Web-Based Study Guides The Mth 253-256 sequence forms the core mathematics sequence for engineering, mathematics, and some science majors at Oregon State University. These courses cover sequences and series, multivariable calculus, vector calculus, and differential equations and have a total enrollment each year of approximately 1000. The purpose of this project is to develop Web-based study guides for these courses that can be used by students currently enrolled in these courses and serve as a resource for the OSU community. Web-based study guides take advantage of the power of hypertext links. In a book topics are ordered linearly. Accessing the Study Guides The study guides can be accessed by clicking on the buttons above or on the links below. There are also calculator tutorials for the TI-85 and HP 38G. Questions and Comments Please see the copyright page for information on contacting the authors of these pages. Personnel The principal investigators for this project are Dennis Garity and Satish Reddy. Funding
MATH 151 – CALCULUS I Upon successful completion of Math& 151, the student should be able to: Category:Mathematical analysis From Wikipedia, the free encyclopedia Subcategories This category has the following 19 subcategories, out of 19 total. Pages in category "Mathematical analysis" The following 180 pages are in this category, out of 180 total.
Mathematics Archives Calculus Resources On-Line Welcome to the Calculus Resources On-line area of the Mathematics Archives. This area contains information and links to numerous Internet resources, which could be used for teaching and learning of calculus. If you would like to suggest adding information to this area, or have comments or questions, please contact Przemyslaw Bogacki, the calculus moderator. Here is the contents of the Calculus Resources On-line area: Mathematics Archives software collection contains numerous shareware and freeware programs useful for teaching and learning of calculus. Initiatives, Projects and Programs These are alphabetized by institution's name (pilot sites are listed under the original developer institution). Appalachian State University, Business Calculus A new Business Calculus course has been developed with the focus on business problems which can be efficiently resolved by the appropriate use of mathematics and technology working hand-in-hand. Carleton University Cornell University Duke University
Highlights of Calculus Contemporary Calculus | Contemporary Calculus Free Calculus Online Courses with Video Lectures Learn. MOOC Courses. Calculus is a branch of mathematics that has tremendous application and is phenomenally vast. It is essentially covered in two segments namely differential calculus and integral calculus. Calculus mainly covers the concept of changes and uses different types of mathematical models for the sake of q... MOREuantifying the changes. In Calculus video lectures, we will take you through the different topics which will help you understand the core details of how calculus works. Video tutorials cover basics to advanced calculus topics.