Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. in a Calculus class. Graphing particular types of equations is covered extensively in the notes, however, it is assumed that you understand the basic coordinate system and how to plot points. 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. At present I've gotten the notes/tutorials for my Algebra (Math 1314), Calculus I (Math 2413), Calculus II (Math 2414), Calculus III (Math 3435) and Differential Equations (Math 3301) class online. 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. math errors. 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. Name Topic Difficulty; Adding and subtracting fractions: … Smart Notes Online is an educational platform that makes studying Smart, Easier, Better and Less-time consuming. 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. Example: CIE IGCSE, Edexcel A-Level, etc. Series Solutions - Series Solutions, Euler Differential Equations. Common Graphs - Parabolas, Ellipses, Hyperbolas, Absolute Value, Square Root, Constant Function, Rational Functions, Shifts, Reflections, Symmetry. 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. 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. As time permits I will be adding more sections as well. 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. I've also got a couple of Review/Extras available as well. Applications of Integrals - Arc Length, Surface Area, Center of Mass/Centroid, Hydrostatic Pressure and Force, Probability. Systems of Differential Equations - Matrix Form, Eigenvalues/Eigenvectors, Phase Plane, Nonhomogeneous Systems, Laplace Transforms. should just ignore the last section. These notes assume no prior knowledge of Calculus. Limits - Concepts, Definition, Computing, One-Sided Limits, Continuity, Limits Involving Infinity, L'Hospitals Rule. It is also assumed that you have a fairly good knowledge of Trig. Laplace Transforms - Definition, Inverse Transforms, Step Functions, Heaviside Functions, Dirac-Delta Function, Solving IVP's, Nonhomogeneous IVP, Nonconstant Coefficient IVP, Convolution Integral. It supports real and complex numbers, matrices, and units. 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. This includes a working knowledge of differentiation and integration. The Calculus III notes/tutorial assume that you've got a working knowledge Calculus I, including limits, derivatives and integration. These have not been published elsewhere and are subject to revision. Integrals, Comparison Test for Improper Integrals, and Approximating Definite From basic equations to advanced calculus, we explain mathematical concepts and help you ace your next test. Note that this primer does assume that you've at least seen some complex numbers prior to reading. Second Order Differential Equations - Homogeneous and Nonhomogeneous Second Order Differential Equations, Fundamental Set of Solutions, Undetermined Coefficients, Variation of Parameters, Mechanical Vibrations. Smart Notes Online is an educational platform that makes studying Smart, Easier, Better and Less-time consuming. Smart Notes Online provides help to the students by classifying resources, such as Books, Revision Guides, Notes, Past Papers, Mark schemes and Examiner reports. Applications of Partial Derivatives - Tangent Plane, Normal Line, Relative Extrema, Absolute Extrema, Optimization, Lagrange Multipliers. Exponential and Logarithm Functions - Exponential Functions, Logarithm Functions, Solving Exponential Functions, Solving Logarithm Functions, Applications. The purpose of this document is go a little beyond what most people see when the first are introduced to complex numbers in say a College Algebra class. Trig and knowledge of Trig, but may contain more/new information as required, Lagrange Multipliers and David caught... Of Mass/Centroid, Hydrostatic Pressure and Force, Probability numbers easy as 1,2,3 topics rely heavily on Trig and of. Have not been published elsewhere and are subject to revision Hydrostatic Pressure and Force Probability! Studying smart, Easier, Better and Less-time consuming to do mathematical calculations and plot graphs of... 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