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# Class Notes for Mathematics at University of Lethbridge

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### Exam Study Guides for Mathematics Courses

Covers all exam topics.

##### MATH 1560 Lecture 17: c3s5

3.5 Derivatives of Trigonometric Functions 1 Chapter 3. Dierentiation 3.5 Derivatives of Trigonometric Functions Recall. For all real numbers a and b, sin(a + b) = sinacosb + cosasinb. Theorem. Derivative of the Sine Funct...

Mathematics
Mathematics 1560
Legge Sean
##### MATH 1560 Lecture 13: c3s4

3.4 The Derivative as a Rate of Change 1 Chapter 3. Dierentiation 3.4 The Derivative as a Rate of Change Denition. Instantaneous Rate of Change The instantaneous rate of change of f with respect to x at x is the 0 derivati...

Mathematics
Mathematics 1560
Legge Sean
##### Mathematics 1560 Lecture Notes - Lecture 10: Power Rule, Quotient Rule, Product Rule

3.3 Dierentiation Rules 1 Chapter 3. Dierentiation 3.3 Dierentiation Rules Derivative of a Constant Function. If f has the constant value f(x) = c, then df d = [c] = 0. dx dx Proof. From the denition: 0 f(x + h) f(x) c c f...

Mathematics
Mathematics 1560
Legge Sean
##### MATH 1560 Lecture 10: c3s2

3.2 The Derivative as a Function 1 Chapter 3. Dierentiation 3.2 The Derivative as a Function Denition. Derivative Function. The derivative of the function f(x) with respect to the variable x is the function f whose value a...

Mathematics
Mathematics 1560
Legge Sean
##### Mathematics 1560 Lecture Notes - Lecture 6: Tangent

3.1 Tangents and the Derivative at a Point 1 Chapter 3. Dierentiation 3.1 Tangents and the Derivative at a Point Note. We now return to an idea introduced in Section 2.1: Slopes of lines tangent to curves. Denition. Slope ...

Mathematics
Mathematics 1560
Legge Sean
##### Mathematics 1560 Lecture Notes - Lecture 3: Classification Of Discontinuities, Intermediate Value Theorem

2.5 Continuity 1 Chapter 2. Limits and Continuity 2.5 Continuity Denition. Continuity at a Point. Interior Point: A function y...

Mathematics
Mathematics 1560
Legge Sean
##### MATH 1560 Lecture 2: c2s3

2.3 The Precise Denition of a Limit 1 Chapter 2. Limits and Continuity 2.3 The Precise Denition of a Limit (Read this section of the text! These are the most important 7 pages in this 1200 page book!) Denition. Formal Deni...

Mathematics
Mathematics 1560
Legge Sean
##### MATH 1560 Lecture 1: c2s1

2.1 Rates of Change and Tangents to Curves 1 Chapter 2. Limits and Continuity 2.1. Rates of Change and Tangents to Curves Denition. The average rate of change of y = f(x) with respect to x over the interval 1x 2x ] is y f(...

Mathematics
Mathematics 1560
Legge Sean
##### Mathematics 1560 Lecture Notes - Lecture 2: Quotient Rule, Product Rule, Power Rule

2.2 Limit of a Function and Limit Laws 1 Chapter 2. Limits and Continuity 2.2. Limit of a Function and Limit Laws Note. We have to be careful in our dealings with functions! Notice that x(x 1) f(x) = x 1 and g(x) = x are N...

Mathematics
Mathematics 1560
Legge Sean
##### Mathematics 1560 Lecture Notes - Lecture 5: Irrational Number, Exponential Growth, Exponential Function

1.5 Exponential Functions 1 Chapter 1. Functions 1.5. Exponential Functions Note. In Chapter 7 we will use calculus to dene logarithmic and expo nential functions. In this section and the next, we informally deal with thes...

Mathematics
Mathematics 1560
Legge Sean
##### Mathematics 1560 Lecture Notes - Lecture 6: Inverse Function, Product Rule, Quotient Rule

1.6 Inverse Functions and Logarithms 1 Chapter 1. Functions 1.6. Inverse Functions and Logarithms Denition. A function f(x) is onetoone on a domain D if f(x ) 6= 1 f(x 2 whenever x 61 x i2 D. Note. A function = f(x) is one...

Mathematics
Mathematics 1560
Legge Sean
##### Mathematics 1560 Lecture Notes - Lecture 3: Central Angle, Radian, Unit Circle

1.3 Trigonometric Functions 1 Chapter 1. Functions 1.3. Trigonometric Functions 0 0 Denition. The number of radians in the central angle A CB within a circle of radius r is dened as the number of radius units contained in ...

Mathematics
Mathematics 1560
Legge Sean
##### Mathematics 1560 Lecture Notes - Lecture 1: Set Theory, Estonian Kroon, Algebraic Function

1.1 Functions and Their Graphs 1 Chapter 1. Functions 1.1. Functions and Their Graphs Note. We start by assuming that you are familiar with the idea of a set and the set theoretic symbol (an element of). Denition. A functi...

Mathematics
Mathematics 1560
Legge Sean
##### MATH 4400 Lecture 14: Analitics

! ( + , . . 0 1 2 ! , 4 4 = 5 * +{ .6 = .6 = ..6 ! + , 7 7 +8 +49 +6. {+ + +

Mathematics
Mathematics 4400
james
##### Mathematics 3461 Lecture Notes - Bruker, Menes

Mer om kongruensregning. Vi så i høst på restklassene modulo 5, og vi satte opp multiplikasjonstabellen for disse restklassene. Se på jan 2011: Uke man tir ons tors fre lør ...

Mathematics
Mathematics 3461
Igor Kovalchuk
##### 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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