The Calculus III notes/tutorial assume that you've got a working knowledge Calculus I, including limits, derivatives and integration. This menu is only active after you have chosen a topic from the Quick Nav menu to the left or Main Menu in the upper left corner. As time permits I will be adding more sections as well. Laplace Transforms - Definition, Inverse Transforms, Step Functions, Heaviside Functions, Dirac-Delta Function, Solving IVP's, Nonhomogeneous IVP, Nonconstant Coefficient IVP, Convolution Integral. in a Calculus class. Graphing and Functions - Graphing Lines, Circles, and Piecewise Functions, Function Definition, Function Notation, Function Composition, Inverse Functions. If you are one of my current students and are here looking for homework assignments I've got a set of links that will get you to the right pages listed here. Line Integrals - Vector Fields, Line Integrals With Respect to Arc Length, Line Integrals With Respect to. Math Notepad is a web based editor to do mathematical calculations and plot graphs. Also, this document is in no way intended to be a complete picture of complex numbers nor do I cover all the concepts involved (that's a whole class in and of itself). In other words, they do … This includes a working knowledge of differentiation and integration. The intent of this site is to provide a complete set of free online (and downloadable) notes and/or tutorials for classes that I teach at Lamar University. I've mostly covered topics that are of particular importance to students Example: CIE IGCSE, Edexcel A-Level, etc. Applications of Partial Derivatives - Tangent Plane, Normal Line, Relative Extrema, Absolute Extrema, Optimization, Lagrange Multipliers. I've also got a couple of Review/Extras available as well. Systems of Equations - Substitution Method, Elimination Method, Augmented Matrix, Nonlinear Systems. Functions, Trig Substitutions, Integration using Partial Fractions, Integrals Multiple Integrals - Iterated Integrals, Double Integrals, Double Integrals in Polar Coordinates, Triple Integrals, Triple Integrals in Cylindrical Coordinates, Triple Integrals in Spherical Coordinates, Change of Variables, Surface Area. Please enter links to files for sizes over 10MB. Exponential and Logarithm Functions - Exponential Functions, Logarithm Functions, Solving Exponential Functions, Solving Logarithm Functions, Applications. The Calculus II notes/tutorial assume that you've got a working knowledge Calculus I, including Limits, Derivatives, and Integration (up to basic substitution). These downloadable versions are in pdf format. Among the reviews/extras that I've got are an Algebra/Trig review for my Calculus Students, a Complex Number primer, a set of Common Math Errors, and some tips on How to Study Math. I've tried to write the notes/tutorials in such a way that they should be accessible to anyone wanting to learn the subject regardless of whether you are in my classes or not. Partial Differential Equations - Heat Equation, Wave Equation, Laplace's Equation, Separation of Variables. Polynomial Functions - Dividing Polynomials, Zeroes/Roots of Polynomials, Finding Zeroes of Polynomials, Graphing Polynomials, Partial Fractions. Product, Projection, Three Dimensional Coordinate System - Equations of Lines, Equations of Planes, Quadratic Surfaces, Functions of Multiple Variables, Vector Functions, Limits, Derivatives, and Integrals of Vector Functions, Tangent Vectors, Normal Vectors, Binormal Vectors, Curvature, Cylindrical Coordinates, Spherical Coordinates. A good grasp of Calculus is required however. I've tried to proof read these pages and catch as many typos as I could, however it just isn't possible to catch all of them when you are also the person who wrote the material. Smart Notes Online provides help to the students by classifying resources, such as Books, Revision Guides, Notes, Past Papers, Mark schemes and Examiner reports. These notes assume no prior knowledge of differential equations. English Second Language 0510 (oral endorsement), English Second Language 0511 (Count in Oral). I've tried to write the notes/tutorials in such a way that they should be accessible to anyone wanting to learn the subject regardless of whether you are in my classes or not. In other words, they do not assume you've got any prior knowledge other than the standard set of prerequisite material needed for that class. math errors. Second Order Differential Equations - Homogeneous and Nonhomogeneous Second Order Differential Equations, Fundamental Set of Solutions, Undetermined Coefficients, Variation of Parameters, Mechanical Vibrations. Integrals. The review is in the form of a problem set with the first solution containing detailed information on how to work that type of problem. Each subject on this site is available as a complete download and in the case of very large documents I've also split them up into smaller portions that mostly correspond to each of the individual topics. Parametric Equations and Polar Coordinates - Parametric Equations & Curves, Calculus with Parametric Equations (Tangents, Areas, Arc Length and Surface Area), Polar Coordinates, Calculus with Polar Coordinates (Tangents, Areas, Arc Length and Surface Area).
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