PDF4PRO ⚡AMP

Modern search engine that looking for books and documents around the web

Example: dental hygienist

Notes on Calculus II Integral Calculus - NU Math Sites

22, , a Function(MeanValueTheorem) Functionsas Power Integrals119 IntroductionThesenotesareintendedtobe a summaryof themainideasincourseMATH214-2: Integral Calculus . I may keepworkingonthisdocument as thecoursegoes on,sothesenoteswillnotbe completelyfinisheduntil theendof Stewart: Calculus ,ConceptsandContexts(2th ed.), willfollow youfindany typos or errors,or youhave any suggestions,please,donothesitateto emailme,or usethewebformforfeedback theregionSunderthecurvey=f(x) fromatob,wherefis (x)SInordertoestimatethatareawe beginby dividingtheinterval[a, b]intonsubintervals[x0, x1], [x1, x2], [x2, x3],.., [xn 1, xn], eachof length x= (b a)/n(soxi=a+i x). thestripbetweenxi 1andxicanbe approximatedas theareaof therectangleof width xandheightf(x i), wherex iis a samplepoint in theinterval [xi, xi+1]. Sothetotalareaunderthecurve isapproximatelythesumn i=1f(x i) x=f(x 1) x+f(x 2) x+ +f(x n) x.

These notes are intended to be a summary of the main ideas in course MATH 214-2: Integral Calculus. I may keep working on this document as the course goes on, so these notes will not be completely finished until the end of the quarter. The textbook for this course is Stewart: Calculus, Concepts and Contexts (2th ed.), Brooks/Cole. With few ...

Fullscreen Download

Tags:

  Notes, Relating, Calculus, Integral calculus

Information

Domain:

Source:

Link to this page:

Please notify us if you found a problem with this document:

Spam in document Broken preview Other abuse

Transcription of Notes on Calculus II Integral Calculus - NU Math Sites

Documents from same domain

NOTES ON DUAL SPACES - Northwestern University

sites.math.northwestern.edu

NOTES ON DUAL SPACES 3 This is one of the main conceptual uses of inner products | they allow us to identity a vector space with its dual in a natural way, where again natural means \without the choice of a basis". Now we look at maps between dual spaces. De nition 3. Let T : V !W be linear. The dual map (or transpose) of T is the map T : W !V ...

  Space, Dual

Lecture 13: Taylor and Maclaurin Series - NU Math Sites

sites.math.northwestern.edu

Lecture 13: Taylor and Maclaurin Series Today: Taylor's Theorem, Taylor Series, Maclaurin Series Let's start our discussion with a function that can be represented by a power series.

  Series, Taylor, Taylor series

Logic, Proofs - Northwestern University

sites.math.northwestern.edu

1.1. PROPOSITIONS 7 p q ¬p p∧q p∨q p⊕q p → q p ↔ q T T F T T F T T T F F F T T F F F T T F T T T F F F T F F F T T Note that ∨ represents a non-exclusive or, i.e., p∨ q is true when any of p, q is true and also when both are true. On the other hand ⊕ represents an exclusive or, i.e., p⊕ q is true only when exactly one of p and q is true. 1.1.2.

  University, Northwestern, Northwestern university

MARGINAL PRODUCT OF LABOR AND CAPITAL

sites.math.northwestern.edu

MARGINAL PRODUCT OF LABOR AND CAPITAL Assume Q = f(L,K) is the production function where the amount produced is given as a function of the labor and capital used. For example, for the Cobb-Douglas production function Q = f(L,K) = ALa Kb. For a given amount of labor and capital, the ratio Q K is the average amount of production for one unit of ...

  Product, Capital, Labor, Marginal, Marginal product of labor and capital, Labor and capital, Of labor and capital

RING THEORY 1. Ring Theory - NU Math Sites

sites.math.northwestern.edu

32 IV. RING THEORY If A is a ring, a subset B of A is called a subring if it is a subgroup under addition, closed under multiplication, and contains the identity. (If A or B does not have an identity, the third requirement would be dropped.) Examples: 1) Z does not have any proper subrings. 2) The set of all diagonal matrices is a subring ofM n(F). 3) The set of all n by n matrices which …

  Theory, Ring, Ring theory

Inner Product, Orthogonality, and Orthogonal Projection

sites.math.northwestern.edu

Math 240 TA: Shuyi Weng Winter 2017 March 2, 2017 Inner Product, Orthogonality, and Orthogonal Projection Inner Product The notion of inner product is important in linear algebra in the sense that it provides a sensible notion of length and angle in a vector space.

  Projection, Orthogonal, Orthogonal projection

Sets, Functions, Relations - Northwestern University

sites.math.northwestern.edu

Sets, Functions, Relations 2.1. Set Theory 2.1.1. Sets. A set is a collection of objects, called elements of the set. A set can be represented by listing its elements between braces: A = {1,2,3,4,5}. The symbol ∈ is used to express that an element is (or belongs to) a set, for instance 3 ∈ A. Its negation is represented by 6∈, e.g. 7 6∈ ...

  Sets

3.4. The Logistic Equation 3.4.1. The Logistic Model.

sites.math.northwestern.edu

3.4. THE LOGISTIC EQUATION 81 correct your prediction for 1950 using the logistic model of population growth (help: with this data k = 0.031476 in the logistic model).What is the carrying capacity of the US according to this model?

  Logistics

Related documents

MATH 221 FIRST SEMESTER CALCULUS

people.math.wisc.edu

MATH 221 { 1st SEMESTER CALCULUS LECTURE NOTES VERSION 2.0 (fall 2009) This is a self contained set of lecture notes for Math 221. The notes were written by Sigurd Angenent, starting from an extensive collection of notes and problems compiled by …

  Lecture, Notes, Lecture notes, Calculus, Calculus lecture notes

MAT137 Lecture Notes - home.tykenho.com

home.tykenho.com

1 Logic and Proofs 1 Logic and Proofs Many of you have already waded through the quagmire that is high-school calculus, endlessly berated with salvos of mindless computational questions asking you to nd numbers with which

  Lecture, Notes, Lecture notes, Calculus

Notes for Signals and Systems - Johns Hopkins University

pages.jh.edu

notes are offered on an as is or use at your own risk basis. Prerequisites for the material are the arithmetic of complex numbers, differential and integral calculus, and a course in electrical circuits. (Circuits are used as examples in the material, and the last section treats circuits by Laplace transform.) Concurrent study of

  Notes, System, Signal, Relating, Calculus, Signals and systems, Integral calculus

Fundamentals of Solid Mechanics

www.mech-wilmanski.de

replace the above presented geometrical approach to vector calculus by an analytical ap-proach. This was an ingenious idea of René Descartes (1596-1650). For Euclidean spaces which we use in these notes we select in the vector space Vthree linearly independent vectors e i i 2

  Notes, Calculus

Conservative Internal Forces and Potential Energy

ocw.mit.edu

This result follows from the gradient theorem, which is often called the fundamental theorem of calculus, which states that the integral r 2 − V · dr = −(V 2 − V 1) r 1 is independent of the path between r 1 and r 2. Therefore the work done by conservative forces depends only upon the endpoints r 2 and r

  Relating, Calculus

CHAPTER 14 Multiple Integrals 14.1 Double Integrals ...

ocw.mit.edu

The double integral JSf(x, y)dy dx will now be reduced to single integrals in y and then x. (Or vice versa. Our first integral could equally well be ff(x, y)dx.) Chapter 8 described the same idea for solids of revolution. First came the area of a slice, which is a single integral. Then came a second integral to add up the slices.

  Relating

Related search queries

Calculus, CALCULUS LECTURE NOTES, Lecture Notes, Notes, Signals and Systems, Integral calculus, Integral