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MATA33H3 (150)

# Class Notes for MATA33H3 at University of Toronto Scarborough

Calculus for Management II

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### Exam Study Guides for MATA33H3

Covers all exam topics.

Mathematics
MATA33H3
Raymond Grinnell
##### MATA33H3 Lecture 10: Lecture 10 (11.5 - 12.1) Premium

Review LHopitals Rule Motivation Theorum (LHopitals Rule) Suppose that, Then, Remark We need Remark Allowable Cases Chapter 12 Additional Topics on Differential Calculus Derivative of Denition: is the number such that if y...

Mathematics
MATA33H3
Nick Cheng
##### MATA33H3 Lecture Notes - Lecture 11: Marginal Revenue, Piecewise, Linear Combination Premium

Elasticity of Demand p = price q = quantity sold/demand Usually, p = f(q) Economists need to understand how change in one quantity effects the other to understand this, they use the quantity elasticity...

Mathematics
MATA33H3
Nick Cheng

Mathematics
MATA33H3
Nick Cheng

Mathematics
MATA33H3
Nick Cheng
##### MATA33H3 Lecture Notes - Lecture 9: Natural Number, Power Law Premium

Chapter 11 - Differentiation Motivation Bombordier 10 Day Average Linear Approximation You can extend the graph linearly after zooming in. Question: What is the equation of this lin...

Mathematics
MATA33H3
Nick Cheng
##### MATA33H3 Lecture 8: Lecture 8 (10.3 - 10.4) Premium

10.3 Continuity Most of the functions that you have seen are continuous, or piece - continuous f(x) = 1 is x is a fraction -1 otherwise Denition: (Heuristic) A function f is continuous on some interval [a, b] ...

Mathematics
MATA33H3
Nick Cheng
##### MATA33H3 Lecture 7: Lecture 7 (10.1 - 10.2) Premium

10. Limits & Continuity Motivation Zeno Achilles 10 m/s Tortoise 1 m/s How long does it take to catch the tortoise? In order for Achilles to catch the tortoise, he needs to travel a distance ...

Mathematics
MATA33H3
Nick Cheng
##### MATA33H3 Lecture Notes - Lecture 5: Calibration, Elementary Matrix, Gaussian Elimination Premium

Options & Insurance We are lazy type of investors, and wait for the market to reach an equilibrium (settle), then we act. i.e. no arbitrage Stocks Company X Company Y Call Option pro...

Mathematics
MATA33H3
Nick Cheng
##### MATA33H3 Lecture Notes - Lecture 6: Law And Justice, California State Route 2, 1 Premium

System of Linear Equations Procedure for solving linear equations 1. Convert system into augmented matrix form 2. Row Reduction: put. The augmented matrix into reduced matrix 3. Convert back to equation form, read off t...

Mathematics
MATA33H3
Nick Cheng
##### MATA33H3 Lecture Notes - Lecture 22: Lagrange Multiplier, Ellipse Premium

17.7 Lagrange Multipliers (cont) Review from last lecture: Definition: o is called the Lagrange Multiplier. o A techniquemethod to find and optimize local extrema of a function of > 2 variables where the function is subjec...

Mathematics
MATA33H3
Eric Moore
##### MATA33H3 Lecture Notes - Lecture 23: Iterated Integral Premium

17.9 Multiple Integrals Basic Integration: Let z = f (x , y) ; we can imagine EXAMPLE: z = f (x , y) = 3x + 5y Definition: Integrated Integral ( first with respect to y, then with respect to x)

Mathematics
MATA33H3
Eric Moore
##### MATA33H3 Lecture Notes - Lecture 21: Lagrange Multiplier Premium

17.7 Lagrange Multipliers Definition: o is called the Lagrange Multiplier. o A techniquemethod to find and optimize local extrema of a function of > 2 variables where the function is subject to > 1 constraint equations o M...

Mathematics
MATA33H3
Eric Moore
##### MATA33H3 Lecture Notes - Lecture 24: Iterated Integral, Determinant, Fxx Premium

17.9 Multiple Integrals Review from last lecture: Definition: Integrated Integral ( first with respect to y, then with respect to x) Similarly, define iterated integral ( first with respect to x, then with respect to y) by...

Mathematics
MATA33H3
Eric Moore
##### MATA33H3 Lecture 16: Partial Derivatives & Applications (7.3) Premium

lLl(i Pales M evw rnim A\w ev Dw ' ,bqc h unyl)\\ ri Y Abrv 2='' 1)" b d 'u CanW r' ...

Mathematics
MATA33H3
Eric Moore
##### 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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