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# Class Notes for Mathematics at Stony Brook University

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

##### MAT 125 Lecture 46: Review for Final Continued 24HRPremium

MAT 125 Lecture 44: Review for Final dt= 40/ dt=? C= 2 C=100 2 = 100 = 50 20 C= 2 40 = 2 = dt dt dt ...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture Notes - Lecture 45: Implicit Function 24HRPremium

MAT 125 Lecture 43: Final Exam Review Linear Approximation example: Approximate ln(1.05) f(x)=ln(x) f(x)=1 1 f(1)=1= 1 Y-0=1(X-1) y=x-1=L(x) ...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture 44: Review for Final Continued 24HRPremium

MAT 125 Lecture 42: Review for Final Ex: The altitude of a triangle is increasing at a rate of 1 m/s. The area of that triangle is increasing at 2m/s. How fast is the base changing when height=10m ...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture Notes - Lecture 43: Implicit Function, Minimax 24HRPremium

MAT 125 Lecture 41: Review for Final Exam Final Exam: 50% will be material after midterm 2 50% will be material before midterm 2 Some of the topics before midterm 2 include: Chapter 1 ...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture 42: Antiderivatives Continued 24HRPremium

MAT 125 Lecture 40: Antiderivatives Continued Ex: f(x)=x F(x)= 1 + 2 f(x)=x and F(0)=1 > here you are given more information F(x)= 1 + ,(0) = 1 = 0 + 2 ...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture Notes - Lecture 41: Antiderivative, Power Rule 24HRPremium

MAT 125 Lecture 39: Antiderivatives This is the last topic of the course Left is a position function and the right is the velocity function S(t)=velocity=V(t) A function F(x) is the an...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture 40: Newtons Method 24HRPremium

MAT 125 Lecture 38: Newtons Method In this method, you are approximating where the zeroes will be. This is similar to linear approximation Tangent line at (, )1 Y-f( 1=f(1)(...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture Notes - Lecture 37: Quotient Rule 24HRPremium

MAT 125 Lecture 37: Indeterminate Forms and L Hospitals Rule 2+1 m (1 ) = 2 0 0 0 Some examples of indetermina...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture Notes - Lecture 36: Maxima And Minima 24HRPremium

MAT 125 Lecture 36: Real World Derivative Problems 2 Ex: = 4 What is the closest point on that curve to (2,0)? 2 2 d= ( 2) + 0 ) = 2 )2 + 2 ...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture 35: MAT 125 Lecture 35 24HRPremium

MAT 125 Lecture 35: Continuation of Applying Derivatives Ex: A cylindrical can is made to hold 100 L of oil. What dimensions minimize the materials needed? This is a surface area problem and you are ...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture Notes - Lecture 34: Minimax 24HRPremium

MAT 125 Lecture 34: Optimization Problems This lecture just went over example after example of these types of problems and the step-by-step instructions in order to solve them Ex: Given 1000m of fencing, what is the maximu...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture Notes - Lecture 33: Inflection, Asymptote 24HRPremium

MAT 125 Lecture 33: Continuation of Derivatives and the Shapes of Curves Ex: 2 4 = 2 + 2 y= 4 4 = 4(1 ) = 4(1 + )(1 ) Critical numbers: x=0, -1, 1 > The critical numbe...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture Notes - Lecture 32: Mean Value Theorem, Differentiable Function, Maxima And Minima 24HRPremium

MAT 125 Lecture 32: Derivatives and the Shapes of Curves Mean Value Theorem If f is a differentiable function on [a,b] then there exists c in [a,b] such that f(c)= ...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture 31: MAT 125 Lecture 31 24HRPremium

MAT 125 Lecture 31: Linear Approximations and Differentials Linear Approximations f(0) = () + ()( ) This is approximate because there it isnt exactly on the curve, its below it Ex: ...

Mathematics
MAT 125
Timothy Ryan
##### MAT 125 Lecture 30: MAT 125 Lecture 30 24HRPremium

MAT 125 Lecture 30: Exam 2 Review of Questions and Absolute Max and Min Examples 4 7 Y= 5 + 2sin ( ) 28 6 Y= 5 + 2cos ( ) 2 Y= +71 3 2+...

Mathematics
MAT 125
Timothy Ryan
##### 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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