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# Class Notes for Mathematics at Miami University

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###### 24HR Notes

The notes and past exams you need. Available 24 hours after each lecture.

##### MTH 151 Lecture 49: Section 6.1 ctd 24HRPremium

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Mathematics
MTH 151
Jeong, Jae
##### MTH 151 Lecture 48: Section 6.1 24HRPremium

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Mathematics
MTH 151
Jeong, Jae
##### MTH 151 Lecture 50: Section 6.2 24HRPremium

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Mathematics
MTH 151
Jeong, Jae
##### MTH 151 Lecture 47: Section 5.4 24HRPremium

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Mathematics
MTH 151
Jeong, Jae
##### MTH 251 Lecture 30: MTH 251 Lecture 30 24HRExamPremium

Recall 1 1)2+1 tan = =0 2+1 , 1 Note: This holds for = 1 ( ) = 1 =1 + + 1 1 4 =0 2+1 3 5 7 9 Homework example: = tan ( ) 3 (1)(3)2+1 tan...

Mathematics
MTH 251
Konstantinos Beros
##### MTH 251 Lecture Notes - Lecture 36: Cartesian Coordinate System 24HRExamPremium

1 = 0 36 + 36 2 1 = 1 + = 6 + 1 + 2 = 2 + 1 0 = 2 2 = 3 4 1 2 32 = 3 3 1 = 28 2 Section 10.3 Polar coordinates Consider a point in the plane. We call this point the pole (or the origin) and label it . We draw a ray extendi...

Mathematics
MTH 251
Konstantinos Beros
##### MTH 251 Lecture Notes - Lecture 35: Telescoping Series 24HRExamPremium

Exam Review 2 telescoping series tan 1( + 1 tan1 )] =1 = tan (2) tan 1(1 + tan 1(3 tan 1(2 + tan 1(4 1 1 1 1 1 1 tan (3 + tan ( tan ( 1 + tan ( + 1 tan ( + 1 tan () 1 1 = tan 1 + tan ( + 1) 2 lim = lim[ + ( + 1)] 4 = + = 4...

Mathematics
MTH 251
Konstantinos Beros
##### MTH 251 Lecture 34: Exam Review 24HRExamPremium

Exam Review (2) Telescoping series [tan 1 + 1 tan ()] =1 = tan (2) tan 1(1 + tan1(3 tan1(2 tan 1(4 1 1 1 1 1 1 tan (3 + tan ( tan 1 + tan + 1 tan ( + 1 tan () = tan 1(1 + tan ( + 1) 2 1 = l[ 4 + tan ( + 1 ] = + = 4 2 4 (3)...

Mathematics
MTH 251
Konstantinos Beros
##### MTH 251 Lecture Notes - Lecture 33: Parametric Equation 24HRExamPremium

Section 10.1 : Parametric equations Suppose an ant traces out a path on a flat surface Suppose the curve is something like: This curve is neither a function of nor But both and are functions of ; we can write = ; = () So, ...

Mathematics
MTH 251
Konstantinos Beros
##### MTH 251 Lecture Notes - Lecture 32: Squeeze Theorem, Ratio Test 24HRExamPremium

Lecture Notes + Tnis the degree Taylor polynomial of at . Setting = () where () is called the remainder of the Taylor series If we can show that lim = 0, Then we have: lim( )( ) = lim =() Theorem: If = + ( ) Where is the n...

Mathematics
MTH 251
Konstantinos Beros
##### MTH 251 Lecture Notes - Lecture 31: Convergent Series 24HRExamPremium

Section 11.10 Taylor and McLaren series Two big question: What functions have power series representations and how can we find them? Suppose has a power series of a with radius ; that is, = =0 , < 2 3 = +0 1 + 2( ) + 3 ) +...

Mathematics
MTH 251
Konstantinos Beros
##### MTH 151 Lecture 46: U substitution examples 24HRPremium

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Mathematics
MTH 151
Jeong, Jae
##### MTH 151 Lecture 44: Section 5.5 24HRPremium

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Mathematics
MTH 151
Jeong, Jae
##### MTH 151 Lecture 43: Section 5.3 24HRPremium

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Mathematics
MTH 151
Jeong, Jae
##### MTH 151 Lecture 42: Section 5.3 24HRPremium

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Mathematics
MTH 151
Jeong, Jae
##### Statistics - Reference Guides

This Guide provides an easy to follow summary of all basic principles that are the foundation to Statistics and Probabilities. Using a combination of charts and sample equations, the key concepts are developed and the esse...

Econometrics
ETC2430
All Professors
##### Calculus Derivatives - Reference Guides

This advanced Calculus Guide provides assistance to the user through its articulation of key Derivatives principles. Helpful tips to solve exponential and logarithmic functions are featured.

All Professors
##### Permachart - Marketing Reference Guide: Becquerel, Hyperbolic Function, International Standard Book Number

l e a r n • r e f e r e n c e • r e v i e w permacharts TM CCalculus Integrals II INTEGRALS INVOLVING a+bu & p+qu ...

All Professors
##### College Mathematics - Reference Guides

This comprehensive Guide provides concrete reference materials in three math fundamentals – Algebra, Calculus, and Trigonometry. Helpful sample equations and rules are the backbone to this Guide

All Professors
##### Permachart - Marketing Reference Guide: Inflection Point, Inflection, Farad

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Differential Calculus Differential Calculus ...

All Professors
##### Permachart - Marketing Reference Guide: Iterated Integral, Centroid, Multiple Integral

permacht asrTM integral Calculus theorems types of iNtegrals averaGe value Theorem ...

All Professors
##### Laplace Transforms - Reference Guides

This useful Math Guide is a specific reference for techniques to convert ordinary differential equations to algebraic equations. Helpful charts and summaries are used to convey information such as exponential, square root,...

All Professors
##### Permachart - Marketing Reference Guide: Charge Pump, Diode, Electrolytic Capacitor

l e a r n • r e f e r e n c e • r e v i e w permacharts TM CConductors & Semiconductors BASICS TERMS Conductor Valence and conduction bands for electr...

Electrical Engineering
4400:307
All Professors
##### Permachart - Marketing Reference Guide: Steradian, Luminous Intensity, Si Base Unit

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Metric System ...

Basic Engineering
BE 1101
All Professors
##### Intermediate Algebra - Reference Guides

This more advanced Guide builds upon the reference material set out in the Introductory Algebra Guide. Linear equations, polynomial equations and complex numbers are readily explained; clear and easy to follow emphasis is ...

MATH
MATH 504
All Professors
##### Introductory Algebra - Reference Guides

This Guide provides a concise and very readable summary of all key Algebraic principles. Special attention is directed to terminology, laws, and operations, with practical examples developed as illustration of these princi...

MATH
MATH 504
All Professors
##### Permachart - Marketing Reference Guide: Circumscribed Circle, Trapezoidal Rule, Quadrilateral

permacharts TM Geometry Geometry QUADRILATERALS CIRCLES & CONICS...

MATH
MATH 501
All Professors
##### Permachart - Marketing Reference Guide: Cubic Yard, Nautical Mile, Fluid Ounce

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Weights & Measures THE U.S./IMPERIAL SYSTEM OF MEASUREMENTS ...

Physics
PHYS 24300
All Professors
##### Vectors & Matrices - Reference Guides

Vectors are an important area of study that develops naturally from a basic understanding of physics and is subsets – statics, dynamics, and mechanics. This practical Guide provides assistance in an often complex disciplin...

Physics
PHYS 24300
All Professors
##### Permachart - Marketing Reference Guide: Luminous Flux, Magnetic Flux, Magnetic Flux Quantum

permacharts TM F u n d a m e n t a lP h y s ic a lC o n s t a n t s General Constants Quantity...

Physics
PHYS 24300
All Professors
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