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## MATH 31A Chapter Notes - Chapter 2-4: Xu

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View Document## MATH 31A Chapter 2-3:

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Svtf" /al : t"~ f(,-) -tju<)) =- v~ f-(>d ~ l~ y~) - e ll ] 7. J orr-e f r rj 1f~ t-ej r() f\,j-f(lld ,nl1111-t,;fle lo11v: f-cr qr. "/ /j v,v,be,y jc;

View Document## MATH 31A Chapter 1-5:

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View Document## MATH 32A- Final Exam Guide - Comprehensive Notes for the exam ( 26 pages long!)

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This is chapter 13 in the textbook multivariable calculus . A vector is a directed line segment. This is usually represented as an arrow in 2-d or 3-d

View Document## EPS SCI 15- Final Exam Guide - Comprehensive Notes for the exam ( 26 pages long!)

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Oceanography is the study of the chemical, biological, physical, and geological processes of the oceans and seas. Professional oceanographs investigate

View Document## EPS SCI 15 Lecture Notes - Lecture 8: Geologic Time Scale, Paleomagnetism, Transform Fault

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On land, mountains such as the appalachians, the himalaya,s, the alps, etc. form from tons of pressure that squeeze rocks together, causing them to bre

View Document## MATH 32A Lecture Notes - Lecture 8: Vector Projection

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To understand acceleration, first we start with velocity: since t = v / ||v||, v = Remember, all of these are functions, not constant, functions of t.

View Document## EPS SCI 15 Lecture Notes - Lecture 7: Seafloor Spreading, Linear Map, Jigsaw Puzzle

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One of the main activities of oceanologists is tracing the development of the ocean basins since their formation on earth. Ocean basins refer to the la

View Document## MATH 32A Lecture Notes - Lecture 7: Osculating Plane, Osculating Circle, Parametric Equation

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Standard notation for vvfs of curves: r(t) = position of some object at time t. v(t) = r"(t) = velocity. a(t) = r""(t) = acceleration. ||v|| = speed, m

View Document## EPS SCI 15 Lecture Notes - Lecture 6: Piano Wire, Hydrophone, Bathymetry

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Lecture 6: scientific notation and tools used to probe the seafloor. An easy way of expressing very large numbers is to express them in powers of. Numb

View Document## MATH 32A Lecture Notes - Lecture 6: Ellipse, Dot Product, Product Rule

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Lecture 6: arc length of a curve r(t) = <x(t), y(t), z(t)> = position of some object at time t. We say that the limit as t t o of r(t) is the vector l

View Document## MATH 32A Lecture Notes - Lecture 5: Parametric Equation, Unit Vector, Farad

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You can isolate the t in each equation so that the expression with x is equal to the expression with y, then rearrange the equations so you get y=f(x).

View Document## EPS SCI 15 Lecture Notes - Lecture 5: Multimodal Distribution, Igneous Rock, Frequency Distribution

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## MATH 32A Lecture Notes - Lecture 4: Multivariable Calculus, Cross Product, Quadrilateral

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Lecture 4: cross product and applications, functions and graphs in. How to compute the cross product of 2 3-d vectors v and w: In the first row, the nu

View Document## EPS SCI 15 Lecture Notes - Lecture 4: Oceanic Basin, Mid-Ocean Ridge, Bathymetry

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Bathymetry is the topography of the ocean floor. Study of bathymetry did not begin until wwii, when researchersbegan surveying the ocean bottom using n

View Document## MATH 32A Lecture Notes - Lecture 3: Vector Projection, Distributive Property, 5,6,7,8

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Definition: given two vectors v = <a 1 , b 1 , c 1 > and w = <a 2 , b 2 , c 2 >, their dot product (or inner product/scalar product) is v (dot) w = a 1

View Document## EPS SCI 15 Lecture Notes - Lecture 3: Hydrosphere, Outer Core

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The earth consists of a series of concentric shells. Each shel has materials that have unique chemical and physical properties. Around the solid mass o

View Document## MATH 32A Lecture Notes - Lecture 2: Unit Vector, Square Root, Linear Combination

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Lecture 2 notes: unit vectors, vectors in 3-d. A vector is a directed line segment, or an object with size and direction. Usually drawn as an arrow, th

View Document## EPS SCI 15 Lecture Notes - Lecture 2: Integrated Ocean Drilling Program, Seafloor Spreading, Woods Hole Oceanographic Institution

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Widely assumed to have begun sometime in the 20th century. Saw design of elaborate experiments, highly complex instruments, many new technology. Meteor

View Document## MATH 32A Lecture Notes - Lecture 1: Pythagorean Theorem, Multivariable Calculus, Scalar Multiplication

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This is chapter 13 in the textbook multivariable calculus . A vector is a directed line segment. This is usually represented as an arrow in 2-d or 3-d

View Document## EPS SCI 15 Lecture 1: EPS 15_ Blue Planet_ Introduction to Oceanography (UCLA, Spring 2018), Lecture 1

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Oceanography is the study of the chemical, biological, physical, and geological processes of the oceans and seas. Professional oceanographs investigate

View Document## CHEM 14B Lecture Notes - Lecture 11: Electrophilic Addition, Substitution Reaction, Reaction Rate Constant

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Lecture 11: thermodynamics and kinetics of organic reactions. This builds on the thermodynamic and kinetics foundations previously covered, and all the

View Document## [ASTR 3] - Final Exam Guide - Everything you need to know! (35 pages long)

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Homework: all homework assignments done on www. masteringastronomy. com , make sure to register. To do well: do readings in advance of lecture, use own

View Document## [CLASSIC 148] - Final Exam Guide - Comprehensive Notes fot the exam (30 pages long!)

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In antiquity, physicians would travel from place to place, would form contracts with cities to stay there for a few years. May make a home in a city if

View Document## CHEM 14B Lecture Notes - Lecture 13: Cyclopentane, Pentagon, Cyclohexane

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Lecture 13: cycloalkanes and is connected to 2 hydrogens. Cyclic hydrocarbon: c ring structures with 3 to 30 carbons. Cyclopropane (c 3 h 6 ): drawn as

View Document## CHEM 14B Lecture Notes - Lecture 12: Structural Formula, Aliphatic Compound, Unsaturated Hydrocarbon

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Unsaturated hydrocarbon contains double bonds or triple bonds. Saurated hydrocarbon contains only single bonds (saturated with h0. Alkane or aliphatic

View Document## ASTR 3 Chapter 2-4: Astronomy 3 Textbook 2.4 Notes

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As train passes by you, its train whistle changes from high shrill to low blare. This change is called the doppler effect. This is because the sound is

View Document## ASTR 3 Chapter 2-1: Astronomy 3 Textbook 2.1 Notes

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Astronomers use laws of physics to interpret light or electromagnetic radiation emittd by objects. Radiation: way in which energy is transmitted throug

View Document## ASTR 3 Chapter 2-2: Astronomy 3 Textbook 2.2 Notes

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White light can be separated into red, orange, yellow, green, blue, and violet hues. Can separate beam of white light into rainbow called spectrum by p

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