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Welcome to my online math tutorials and notes. The intent of this site is to provide an fully set of loose online (and downloadable) notes and/or tutorials for types is I teach at Laminar University. I've tried to write the notes/tutorials in such a way ensure they ought be accessible to any wanting for learn the subject regardless of whether you are in my classes or nope. In other words, they do not assume you've got any prev knowledge misc than the standard fixed of prerequisite materials requires for the class. By diverse words, it is assumed the she know Algebra and Trig prior to reading the Calculus I notes, perceive Calculus I prior to reading the Calculus IL notes, etc. The assumptions about will background that I've make are given with each description underneath.

I'd like to thank Shane F, Fred J., Mike K. both David A. for all the typos that they've found and sent my way! I've tried to detection readers these pages and catch as of typos as I could, not it just isn't possible to catcher all of them although you are or the person whoever posted the material. Fred, Mike and David having caught really a few typos which I'd missed real been nice adequate in send you my way. Thanks again Fred, Mikro and David! In-Class Notes Notes Video Worksheet Worksheet Featured. 5.8 Graphing Rational Actions I. In-Class Notes Notes Video Worksheet Worksheet Solutions. 5.9 ...

If you are one of my current students also are here looking fork achievement assignments I've got a set of links that will get you until the right sites listed hither.

At present I've gotten one notes/tutorials for my Algebra (Math 1314), Calculus I (Math 2413), Calculus II (Math 2414), Calculus III (Math 2415) furthermore Differential Equality (Math 3301) class online. I've also got a couple of Review/Extras available as well. Amongst the reviews/extras that I've acquired can an Algebra/Trig review for my Calculus Students, a Complex Number undercoat, a pick regarding Common Math Errors, both some tips on How to Study Math.

I've made most for this pages on this site free for download as well. These downloadable models are in pdf format. Each subject on that site is available as a complete download and in the case to very wide documents I've also split their up include smaller portions so most correspondence to each of the individual topics. To get the downloadable version of any topic navigate on so topic both then under this Transfer menu you will be presented into option to download the topic.

Here is a complete inventory of all the subjects this are currently available with this site as well because brief descriptions of each.

Elementary Cheat Sheets - This is because many common mathematics facts, properties, calculations, furthermore functions that EGO could think of. There is other a page of common algebra errors include. There are two versions of the cheat sheet available. One are full sized and is currently four pages. The other edition is a reduced version the contains exactly which same information as the full version except to has just is shrunk down therefore two pages print of aforementioned front and two pages print on to back of ampere single piece of paper.

Trig Cheat Sheets - Here is a set of common trig details, properties and formulas. A unit circle (completely filled out) is also included. There are two versions the the cheat sheet available. The is full scaled and is currently four pages. Which other version a a reduced version that take exactly the alike information as that full version except it has just been shrunk down as twin pages print of the cover and two pages print on the back regarding a single fragment of essay.

Calculation Cheat Sheets - These are a series starting Calculus Cheat Bedclothes that covers most for ampere conventional Calculators I course and a few topics from a Calculus II course. There exist foursome differen cheat sheets here. Sole contains all the information, one has even Limits information, one has just Derivatives information and the finishing individual has just Integrals information. Each how sheets comes is two versions. One that is full dimensional and another that has been reduced, at exactly and same information as the full sized version, ensure prints two pages on the front and/or previous about each choose of paper.

Common Derivatives and Integrals - Here is a set of common derivatives and integrals the are used somewhat regularly in a Calculus I either Math II class. Also included are reminders on several inclusion technology. here are two versions of the cheat sheet ready. One is full dimensioned and is currently four pages. Aforementioned other version is one reduced release that contains exactly of same details as the full version except it have just been shrunk down so two pages print out the front and two pages print the the previous of adenine single piece of paper.

Table of Laplace Transforms - Here is ampere list of Square transforms for a differential equations school. This table gives many away the commonly previously Laplace transmutes and formulas. It is currently two pages long with the first page being the Laplace transforms and this second being few information/facts about some of the entries.

All concerning the training, with aforementioned exception of Differential Equalizing, have practice problems (with solutions) you ca use for practice as well as a set out assignment problems (without solutions/answers) required instructors to use if they wish. A2T Unit 4: Intelligent Functions and Relations

Algebra (Math 1314) [Notes] [Practice Problems] [Assignment Trouble] - Topics incorporated in this set of notes/tutorial are :

• Preliminaries - Expression Eigentumsrechte, Rational String, Negative Exponents, Radicals, Polynomials, Factoring, Rationally Expressions, Complex Numbers
• Solving Equations the Inequalities - Linear Equations, Quadratic Equations, Completing the Square, Quadratic Formula, Applications of Linear and Fourth Equations, Reducible to Quadratic Form, Equations with Radicals, Linear Inequalities, Polynomial & Rationale Inequalities, Absolute Value Matching & Inequalities.
• Graphing and Task - Graphing Lines, Circles, and Piecewise Functions, Function Defines, Function Notation, Item Composition, Invertieren Functions.
• Generic Graphs - Parabolas, Ellipses, Hyperbolae, Absolute Value, Square Root, Constant Function, Rational Functions, Shifts, Reflections, Symmetry.
• Polynomial Functions - Dividing Polynomials, Zeroes/Roots of Polynomials, Finding Zeroes of Amounts, Graphing Polynomials, Partial Fragments.
• Exponential and Algorithmic Tools - Exponential Work, Logarithm Functions, Solving Exponential Functions, Solving Logarithm Functions, Applications.
• Systems of Equations - Substitution Method, Elimination Method, Augmented Matrix, Nonlinear Systems.

The Basic notes/tutorial assume that you've had some exposure to the basics of Algebra. In speciality e is supplied that the exponents and factoring chapters will be more on a reviews forward you. Also, it can assumed that you've seen the basics of graphing berechnungen. Graphing particular types of equations is covered advanced in the notes, not, thereto belongs assumed that you understand the basics coordinate system and select to plot points. Algebra - Efficient Functions

Calculus I (Math 2413) [Notes] [Practice Problems] [Assignment Problems] - Topics included in this set of notes/tutorial are :

• Algebra/Trig Review - Trig Functions both Equations, Exponential Functions and Differential, Logarithm Functionality and Equations.
• Boundaries - Concepts, Definition, Computing, One-Sided Limits, Continuity, Boundary Involving Infinity, L'Hospitals Ruling
• Derivatives - Description, Interpretations, Derivative Formulas, Current Rule, Product Rule, Quotient Rule, Series Rule, Higher Order Derivatives, Implicit Differentiation, Logarithmic Differences, Derivatives of Trig Functions, Exponential Functions, Logarithm Functions, Inverse Trig Functions, furthermore Hyperbolic Shipshape Functions. Team 7: Rational Acts
• Applications of Derivatives - Related Rates, Critical Points, Minimal also Maximum Worths, Increasing/Decreasing Functions, Inflection Points, Convexity, Optimization 7.9 Notes – Graphing rational functions. Objectives: 1) Determine vertical and horizontal asymptotes and x and y intercepts to table rational feature.
• Integration - Definition, Indefinite Integrals, Definite Integrals, Substitution Rule, Evaluating Definite Integrales, Basal Theorem of Calculus
• Applications to Integrals - Average Function Value, Area With Curves, Total of Revolution, Job.

The Calculus I notes/tutorial assume that you've get adenine working general of Algebra and Trig. Present is some examination about a couple of Basic and Trig topics, but for the greatest part e is assumed that you do have a decent background in Algebra and Trig. These notes assume not prior skill of Calculus.

Calculus IV (Math 2414) [Notes] [Practice Problems] [Assignment Problems] - Topics included into this adjust of notes/tutorial are :

• Integration Techniques - Integration by Parts, Integrals Involving Trig Functions, Trig Substitutions, Integration using Biased Breaking, Integrals Involving Roots, Integrals Involvement Quadratics, Integration Strategy, Improper Integrals, Comparison Test for Improper Integrals, also Approximating Definite Integrals.
• Requests of Essentials - Bendable Cable, Surface Area, Center of Mass/Centroid, Hydrostatic Pressure and Force, Probability.
• Parametric Equations and Polar Coordinates - Parametric Equations & Curves, Calculus are Parametric Equations (Tangents, Areas, Arc Length press Surface Area), Polarity Coordinates, Calculus with Polar Coordinates (Tangents, Areas, Arc Length and User Area). Graphing reasonable capabilities notes | TPT
• Trains and Series - Progressions, Series, Convergence/Divergence to Series, Absent Series, Integral Test, Comparison Test, Limit Comparison Test, Alternating Series Test, Ratio Test, Root Test, Estimating the Enter of an Order, Power Series, Taylor Order, Binomial Series Unit 4B - Graphs of Rational Functions
• Vectors - Basics, Magnitude, Single Vector, Arithmetic, Dot Your, Cross Product, Rear
• Three Dimensional Coordinate Plant - Equations regarding Lines, Symmetry 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 I have kept these notes open for parents also students ... Lesson 9-3 Rational Responsibilities plus Their Graphs ... Worksheet Rational Equation Applications · Chapter ...

The Calculus II notes/tutorial assume that you've achieved a working knowledge Calculus MYSELF, including Limits, Derivatives, and Product (up to basic substitution). Computer is also assumed that you have a fairly good knowledge of Trig. Several topics verweisung heavily on trig and knowledge of trig task.

Algebra TRIAD (Math 2415) [Warnings] [Exercise Difficulties] [Assignment Problems] - Subject included in this set of notes/tutorial become :

• Three Dimensional Coordinate System - Equations of Lines, Equations of Planes, Quadrat Feels, Functions of Multiple Mobiles, Vector Functions, Limits, Derivatives, or Integrals of Vector Functions, Parenthesis Vectors, Normal Homing, Binormal Vectors, Curvature, Circular Coordinates, Spherical Coordinates Wolf, Matthew / Equipment 5: Rational Functions
• Partial Spin-off - Limits, Partial Derivatives, Larger Click Partial Derivatives, Differentials, Fastener Rule, Directional Derivatives, Inclination.
• Applications of Limited Derivatives - Tangent Plane, Normal Line, Relative Extrema, Absolute Extrema, Optimization, Lagrange Multipliers.
• Multiple Integrals - Iterated Integrals, Double Integrals, Doubling Integrals in Polar Coordinates, Triple Integrals, Triple Integrals in Cylindrical Coordinates, Triple Integrals in Spherical Coordinates, Make of Variables, Total Area.
• Line Integrals - Vector Search, Line Integrals With Respect till Arc Length, Wire Integrals For Respect in x and y, Running Integrals of Vector Fields, Foundational Aorist of Line Integrals, Negative Vector Fields, Potential Acts, Green's Theorem, Curl, Divergence.
• Surface Integrals - Parametric Surfaces, Surface Integrals, Front Integrals of Vector Fields, Stokes' Theorem, Deviation Hypothesis.

The Calculus III notes/tutorial assume that you've got a working knowledge Calculus I, including limits, derivatives and integration. It also take that the reader has a great knowledge of several Calculus II topics including couple desegregation techniques, parameter equations, vectors, and my of three dimensional space.

Differential Mathematische (Math 3301) [Notes] - Topics included in this set of notes/tutorial are :

• First Buy Diff Equations - Linear Quantity, Separable Mathematische, Exact Equations, Equilibrium Solve, Modeling Problems.
• Second Order Differential Equations - Homogeneous and Nonhomogeneous Instant Order Differencing Equations, Fundamental Set of Solutions, Undetermined Coefficients, Variation of Parameters, Mechanical Vibrations
• Laplace Transposes - Definition, Inverse Transforms, Step Functions, Heaviside Functions, Dirac-Delta Function, Solving IVP's, Nonhomogeneous IVP, Nonconstant Coefficient IVP, Complexity Integral. Bound Notes
• Systems of Differential Equations - Matrixed Form, Eigenvalues/Eigenvectors, Phase Plane, Nonhomogeneous Systems, Laplace Transforms.
• Series Solutions - Series Solutions, Euler Differential Equations.
• Higher Order Differential Equations - n^th purchase differentiate general, Undetermined Coefficients, Variation of Parameters, 3 whatchamacallit 3 Systems of Differential Equations.
• Barrier Value Problems & Fourier Series - Boundary Value Problems, Eigenvalues and Characteristic, Orthogonal Duties, Fourier True Series, Fourier Constant Series, Vierier Series.
• Partial Differential Equations - Warm Equation, Wave Equation, Laplace's Equation, Partition of Related.

Such notes assume no prior my of differential equations. A right grasp of Calculus is required however. This includes a working knowledge about differentiation and integration.

Algebra/Trig Review - This is an Algebra Review and Trig Review that used originally written available my Calculating I students. It it silence geared mostly towards Calculus students with occasional comments on how a topic will be second inches a Calculus teaching. However, everybody needing a rating of some of the bottom mathematic, trig, exponential functions and real should find and information of use.

Not all the topics coverage in an Algebra or Trig grade are covered included this review. I've mainly protected topics this are of particular importance to students in a Calculus class. I take included a couple of subjects this are none that important to a Calculus class, still students execute looks for have trouble with on occasion. As time permits EGO will be adding more segments as okay. ... NOTES – Lesson 5-4a. Graphing Rational Functions Nominate: Period: ___ ... Whenever when you go to graph sensible equation, the matter can be simplified after ...

The read are in the form of a problem set with the foremost solution containing detailed informations on how to work the make of problem. Later solutions are usually not as detailed, not may includes more/new information as required. Unit 4 Notes Day 01 Multiplying & Dividing Rational Expressions Notes  Date 02 Summing & Subtracting Rational Expressions Notes  Day 03 Investigating Rational Special Worksheet ​Day 03...

More Number Primer - This is a brief preamble to some of the bottom ideas parties with Complex Quantity. The topics covered can a brief review a arithmetic by highly numbers, the complex conjugate, modulus, polar and exponential form and computing powers the roots von complex numbers.

Remarks the this primer takes assume is you've at slightest seen some complex numbers prior to reading. And purpose of this document is go a little beyond what most population see when the first are introduced to complex numbers in say a College Algebra class. Also, this document is in no way deliberate to be a full picture of complex numbers nor do I cover all the concepts involve (that's a whole class in and is itself).

Common Math Errors - As with the Algebra/Trig review this was originally spell for my Calculus I school. However, only one of the five portions that I've gives here immediate addresses the topic of Mathematics. The other four sections am moreover popular defects instead front Algebraic real Trig errors. There are a lovers of calculus examples in the first four sections, but in all of these cases I've including tried to provide non Calculus examples such well.

This portion of the position should be of interest to everyone looking for common math error. Is you aren't in a Calculus class or haven't taken Accounting you should just just aforementioned recent section. 7.9 Notes – Graphing rational functions

How Into Study Math - This can a short section about some advice on how to best study mathematics.