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Applications of Partial Derivatives - Tangent Plane, Normal Line, Relative Extrema, Absolute Extrema, Optimization, Lagrange Multipliers. 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. It also assumes that the reader has a good knowledge of several Calculus II topics including some integration techniques, parametric equations, vectors, and knowledge of three dimensional space. 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). Please enter links to files for sizes over 10MB. I have included a couple of topics that are not that important All of the classes, with the exception of Differential Equations, have practice problems (with solutions) you can use for practice as well as a set of assignment problems (without solutions/answers) for instructors to use if they wish. Here is a complete listing of all the subjects that are currently available on this site as well as brief descriptions of each. Name Topic Difficulty; Adding and subtracting fractions: … Systems of Equations - Substitution Method, Elimination Method, Augmented Matrix, Nonlinear Systems. I've also got a couple of Review/Extras available as well. 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. Smart Notes Online provides help to the students by classifying resources, such as Books, Revision Guides, Notes, Past Papers, Mark schemes and Examiner reports. Derivatives of Exponential and Logarithm Functions, L'Hospital's Rule and Indeterminate Forms, Substitution Rule for Indefinite Integrals, Volumes of Solids of Revolution / Method of Rings, Volumes of Solids of Revolution/Method of Cylinders, Parametric Equations and Polar Coordinates, Gradient Vector, Tangent Planes and Normal Lines, Triple Integrals in Cylindrical Coordinates, Triple Integrals in Spherical Coordinates, Linear Homogeneous Differential Equations, Periodic Functions & Orthogonal Functions, Heat Equation with Non-Zero Temperature Boundaries, Absolute Value Equations and Inequalities, Preliminaries - Exponent Properties, Rational Exponents, Negative Exponents, Radicals, Polynomials, Factoring, Rational Expressions, Complex Numbers. In other words, they do … The assumptions about your background that I've made are given with each description below. Math Notepad is a web based editor to do mathematical calculations and plot graphs. English Second Language 0510 (oral endorsement), English Second Language 0511 (Count in Oral). Open Math Notes includes: Draft works including course notes, textbooks, and research expositions. 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. Also, it is assumed that you've seen the basics of graphing equations. 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. This menu is only active after you have chosen one of the main topics (Algebra, Calculus or Differential Equations) from the Quick Nav menu to the right or Main Menu in the upper left corner. In other words, it is assumed that you know Algebra and Trig prior to reading the Calculus I notes, know Calculus I prior to reading the Calculus II notes, etc. Derivatives - Definition, Interpretations, Derivative Formulas, Power Rule, Product Rule, Quotient Rule, Chain Rule, Higher Order Derivatives, Implicit Differentiation, Logarithmic Differentiation, Derivatives of Trig Functions, Exponential Functions, Logarithm Functions, Inverse Trig Functions, and Hyperbolic Trig Functions. These notes assume no prior knowledge of Calculus. Fred, Mike and David have caught quite a few typos that I'd missed and been nice enough to send them my way. These have not been published elsewhere and are subject to revision. review. Note that this primer does assume that you've at least seen some complex numbers prior to reading. in a Calculus class. Algebra/Trig Review - Trig Functions and Equations, Exponential Functions and Equations, Logarithm Functions and Equations. Later solutions are usually not as detailed, but may contain more/new information as required. Second Order Differential Equations - Homogeneous and Nonhomogeneous Second Order Differential Equations, Fundamental Set of Solutions, Undetermined Coefficients, Variation of Parameters, Mechanical Vibrations. Sequences and Series - Sequences, Series, Convergence/Divergence of Series, Absolute Series, Integral Test, Comparison Test, Limit Comparison Test, Alternating Series Test, Ratio Test, Root Test, Estimating the Value of a Series, Power Series, Taylor Series, Binomial Series, Vectors - Basics, Magnitude, Unit Vector, Arithmetic, Dot Product, Cross should just ignore the last section. 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. Limits - Concepts, Definition, Computing, One-Sided Limits, Continuity, Limits Involving Infinity, L'Hospitals Rule. Several topics rely heavily on trig and knowledge of trig functions. From basic equations to advanced calculus, we explain mathematical concepts and help you ace your next test. Involving Roots, Integrals Involving Quadratics, Integration Strategy, Improper The Calculus III notes/tutorial assume that you've got a working knowledge Calculus I, including limits, derivatives and integration. This includes a working knowledge of differentiation and integration. I'd like to thank Shane F, Fred J., Mike K. and David A. for all the typos that they've found and sent my way! 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. Thanks again Fred, Mike and David! Exponential and Logarithm Functions - Exponential Functions, Logarithm Functions, Solving Exponential Functions, Solving Logarithm Functions, Applications. Solving Equations and Inequalities - Linear Equations, Quadratic Equations, Completing the Square, Quadratic Formula, Applications of Linear and Quadratic Equations, Reducible to Quadratic Form, Equations with Radicals, Linear Inequalities, Polynomial & Rational Inequalities, Absolute Value Equations & Inequalities. Applications of Integrals - Average Function Value, Area Between Curves, Solids of Revolution, Work. Polynomial Functions - Dividing Polynomials, Zeroes/Roots of Polynomials, Finding Zeroes of Polynomials, Graphing Polynomials, Partial Fractions. If you aren't in a Calculus class or haven't taken Calculus you It is also assumed that you have a fairly good knowledge of Trig. Graphing and Functions - Graphing Lines, Circles, and Piecewise Functions, Function Definition, Function Notation, Function Composition, Inverse Functions. Welcome to my online math tutorials and notes. Math. Students of Edexcel International Advanced Level in Maths will develop essential knowledge and understanding, including an appreciation of the link between theory and experiment, and the skills to design, execute and analyse their own investigations. As time permits I will be adding more sections as well. to a Calculus class, but students do seem to have trouble with on occasion. To get the downloadable version of any topic navigate to that topic and then under the Download menu you will be presented an option to download the topic. Not all the topics covered in an Algebra or Trig class are covered in this You appear to be on a device with a "narrow" screen width (. Welcome to my online math tutorials and notes. There is some review of a couple of Algebra and Trig topics, but for the most part it is assumed that you do have a decent background in Algebra and Trig.