[COLLEGE ALGEBRA EXAM I REVIEW TOPICS] ( u s e t h i s t o m a k e s u r e y o u a r e r e a d y )
|
|
|
- Allan Dixon
- 5 years ago
- Views:
Transcription
1 (Abut the final) [COLLEGE ALGEBRA EXAM I REVIEW TOPICS] ( u s e t h i s t m a k e s u r e y u a r e r e a d y ) The department writes the final exam s I dn't really knw what's n it and I can't very well tell yu what t study. Yu shuld be prepared fr everything that we've cvered this term, which is Chapters 1-5 minus the things that we skipped Knw hw t determine if a given relatin is a functin (input vs. utput, vertical line test) The exam will fcus n chapters 4 &5 (abut 75% f the exam), s there still will be sme things frm chapters 1-3. Stry prblems and being able t make sense f an answer using wrds is an imprtant part f the curse, and smewhere between 50-65% f the exam will be wrd prblems (at least, that s been true in past exams) Yu may use a duble sided 3X5 ntecard fr the final scratch paper will als be prvided Yu will need yur calculatr, but yu are expected t shw all f yur wrk, unless explicitly stated therwise make sure yur batteries are wrking. I will nt be lending ut my calculatr n the exam day. There may be a ptin where yu may nt use yur calculatr, and instructin will be iven at the time f the final exam. N scantrn/bluebk needed Belw are the tpics we have cvered in the curse s far listed by chapter. (chapter 1) Intr t Functins and Their Graphs (1.3) functins and their representatins (page 26) Understand the definitin f a functin. Knw hw t determine if a given relatin is a functin (input vs. utput, vertical line test) Knw hw t find dmain and range f a functin (via graph, equatin, blb diagram, table) (1.4) types f functins (page 42) Knw hw t find the slpe f a line given: Tw pints, A perpendicular/parallel slpe and a pint Knw the 3 different types f functins (linear, nnlinear, cnstant) Knw discrete vs. cntinuus Difference qutient. (chapter 2) Linear Functins and Equatins (2.1) Equatins f lines (page 68) Knw hw t find the equatin f a line using pint-slpe r slpe-intercept frm Knw hw t use the standard frm f a linear equatin t find the x and y-intercepts Understand hw t set up and slve direct variatin prblems. (2.2) Linear Equatins (page 86) Knw hw t set up and slve linear equatins given a paragraph f infrmatin (this was the sectin with the velciraptr prblem, as well as the prblem with the radiatr!) Knw hw t slve frmulas fr specific variables (i.e. slve fr h: )
2 (2.4) Mre Mdeling With Functins (page 118) Knw hw t set up and mdel situatins using linear functins give by: Knw hw t use the LinReg (ax+b) functin n ur calculatr Understand hw t graph and evaluate piecewise functins Knw direct variatin ( ) Be cmfrtable with graphing, evaluating, and finding the dmains f piecewise functins (chapter 3) Quadratic Functins and Equatins (3.1) Quadratic Functins and Mdels (page 156) Knw the basic anatmy f a parabla Understand hw t find the vertex f a quadratic functin either vertex f standard frm Knw hw t find the maximum r minimum values f quadratic functins (by finding the vertex) Knw hw t set up quadratic functins that mdel specific situatins Knw hw t use the QuadReg functin n ur calculatr t find best fit parablas Knw the general frm f prjectile mtin ( ) (3.2) Quadratic Equatins and Prblem Slving (page 172) Knw the main ways t slving quadratic equatins (sans cmpleting the square) Knw hw t set up and slve quadratic equatins that mdel specific situatins. (3.3) Cmplex Numbers (page 188) Will nt be n first exam ran ut f time due t sickness. (3.5) Transfrmatins (page 206) Knw hw t use the 10 transfrmatins t manipulate graphs and their tables. (chapter 4) Mre Nnlinear Functins And Equatins (4.1) Mre Nnlinear Functins and their graphs (page 232) Knw and understand the definitin f a plynmial functin Knw hw t find lcal and abslute extrema Be able t identify if functins are dd r even by examining the graph f the equatins and checking its symmetry; r using the definitins f dd and even ( and respectively) (4.2) Plynmial Functins and Mdels (page 243) Knw hw t determine a plynmials functin s end behavir (falls t left, rises t right, etc ) knw hw an even degree ply functin behaves knw hw an dd degree ply functin behaves be familiar with limit ntatin ( etc ) Knw hw t determine a functins minimum degree by lking at the graph (using turning pints and x-intercepts) Knw hw t determine whether a ply functin s leading cefficient is psitive r negative (4.3) Divisin f Plynmials (page 260) Knw hw t divide plynmials using lng divisin synthetic divisin Understand hw dividing plynmials is useful in determining the zers f a ply functin
3 (4.4) Real Zers f Plynmial Functins (page 267) Understand the imprtance f the factr therem Knw hw t write a plynmial in cmplete factred frm Knw hw t find the multiplicities f a functin given it s graph and hw t write multiplicities in the cmplete factred frm Knw hw t use the ratinal zers test t find the ratinal zers f a plynmial functin Knw hw t find the number f pssible psitive zers and the number f pssible negative zers using Descartes Rule f Signs (4.5) The Fundamental Therem f Algebra (page 283) Knw what the fundamental therem f algebra says, and why it is s imprtant Understand that ANY plynmial functin can be written in cmplete factred frm using cmplex numbers Be able t find the cmplete factred frm f plynmials This may require using the ratinal zers test t find any real zers, then dividing thrugh using that zer t simplify the riginal plynmial int smething yu may be able t factr Be able t write cmplete factred frm given the leading cefficient and a few zers Knw the cmplex cnjugate zers therem (4.6) Ratinal Functins and their Mdels (page 289) Knw what a ratinal functin is and hw t find it s dmain Knw hw t find vertical and hrizntal asympttes given the functins graph the equatin f the functin (dn t frget hidden step #1!!!) Knw hw t graph ratinal functins by hand (using the 7 step prcess) remember that ratinal functins tend twards their asympttes (4.8) Radical Equatins and Pwer Functins (page 322) Knw hw t use the prperties f ratinal expnents t simplify radical expressins Knw hw t slve radical equatins (using mck s strategy fr slving radical eq s ) Knw what pwer functins and rt functins are and hw t find their dmains Knw hw t slve equatins with ratinal r negative expnents Understand hw t find the best fit curve f data using Pwer Regressin (chapter 5) Expnential and Lgarithmic Functins (5.1) Cmbining Functins (page 349) Knw hw t perfrm the fur basic peratins n functins ( ) and knw hw t evaluate thse functins at specific values analytically, numerically (given a table), and graphically (given a graph). Knw hw t find cmpsite functins given each functin, a table f values, r a graph f each functin. Be able t find the dmain f cmpsite functins. (5.2) Inverse Functins and Their Representatins (page 365) Knw hw t check if a functin is ne-t-ne (and further, knw what ne-t-neness means). Be able t find the inverse functin f ne-t-ne functins (use the step by step prcess we went ver in class with switching the x and y) Understand what it means fr tw functins t be inverses (knw what inverse means) Knw that when yu cmpse a functin with its inverse (and vice-versa) yu get the input x. Understand what it means fr tw functins t be inverses in relatin t their graphs (they are reflectins acrss the line y=x)
4 (5.3) Expnential Functins and Mdels (page 380) Knw hw t find the equatin f an expnential functin f the frm given a table f data. Knw the frmulas fr: Cmpund interest Cntinuus cmpund interest Radiactive decay Knw hw t use the abve frmulas (examples are given in the chapter sectin) (5.4) Lgarithmic Functins and Mdels (page 399) Knw the basic facts/prperties abut lgarithms (i.e. they are the inverse f expnential functins,,, etc ) Understand what a lgarithm is asking yu ( is asking: t what pwer must be raised in rder t get ). Knw hw t slve simple lgarithmic and expnential equatins (using the fact that lg functins and expnential functins are inverses). Be able t cnvert frm expnential frm t lgarithmic frm (5.5) Laws f Lgarithms (LLs) (page 415) Knw the 4 LL s and hw t use them t expand r cmbine expressins. (5.6) Expnential and Lgarithmic Equatins (page 423) Knw hw t slve mre cmplex lgarithmic equatins Knw hw t slve mre cmplex expnential equatins Essentially, sectin 5.6 is all abut slving equatins utilizing the laws f lgarithms in cmbinatin with the slving skills yu learned in sectin 5.4 (by using the inverse functin t get (5.7) Cnstructing Nnlinear Mdels (page 460) Knw hw t make a scatterplt f given data and determine which mdel t use (Additinal Thughts) There is n in-class review that I have fr yu guys. I dn t want t write a reviw and have students think that if I study nly this, I will be ready fr the final exam, because that isn t true and in fact I have n idea what s n the final. That being said, I have made an nline review (which is basically all ur past nline reviews crammed int ne review assignment) that yu guys can lk thrugh. There are five main ways I suggest reviewing: Lking ver past exams The nline review Lking thrugh yur ntes Ging thrugh the bk t sectins yu struggle with and ding sme f the prblems ut f that sectins hmewrk sectin Ging ver past hmewrk assignments Make sure yu get enugh sleep Sunday night befre the final! がんばってください
5
Function notation & composite functions Factoring Dividing polynomials Remainder theorem & factor property
Functin ntatin & cmpsite functins Factring Dividing plynmials Remainder therem & factr prperty Can d s by gruping r by: Always lk fr a cmmn factr first 2 numbers that ADD t give yu middle term and MULTIPLY
Section 5.8 Notes Page Exponential Growth and Decay Models; Newton s Law
Sectin 5.8 Ntes Page 1 5.8 Expnential Grwth and Decay Mdels; Newtn s Law There are many applicatins t expnential functins that we will fcus n in this sectin. First let s lk at the expnential mdel. Expnential
This section is primarily focused on tools to aid us in finding roots/zeros/ -intercepts of polynomials. Essentially, our focus turns to solving.
Sectin 3.2: Many f yu WILL need t watch the crrespnding vides fr this sectin n MyOpenMath! This sectin is primarily fcused n tls t aid us in finding rts/zers/ -intercepts f plynmials. Essentially, ur fcus
NUMBERS, MATHEMATICS AND EQUATIONS
AUSTRALIAN CURRICULUM PHYSICS GETTING STARTED WITH PHYSICS NUMBERS, MATHEMATICS AND EQUATIONS An integral part t the understanding f ur physical wrld is the use f mathematical mdels which can be used t
MATHEMATICS SYLLABUS SECONDARY 5th YEAR
Eurpean Schls Office f the Secretary-General Pedaggical Develpment Unit Ref. : 011-01-D-8-en- Orig. : EN MATHEMATICS SYLLABUS SECONDARY 5th YEAR 6 perid/week curse APPROVED BY THE JOINT TEACHING COMMITTEE
MODULE FOUR. This module addresses functions. SC Academic Elementary Algebra Standards:
MODULE FOUR This mdule addresses functins SC Academic Standards: EA-3.1 Classify a relatinship as being either a functin r nt a functin when given data as a table, set f rdered pairs, r graph. EA-3.2 Use
A Correlation of. to the. South Carolina Academic Standards for Mathematics Precalculus
A Crrelatin f Suth Carlina Academic Standards fr Mathematics Precalculus INTRODUCTION This dcument demnstrates hw Precalculus (Blitzer), 4 th Editin 010, meets the indicatrs f the. Crrelatin page references
Math Foundations 10 Work Plan
Math Fundatins 10 Wrk Plan Units / Tpics 10.1 Demnstrate understanding f factrs f whle numbers by: Prime factrs Greatest Cmmn Factrs (GCF) Least Cmmn Multiple (LCM) Principal square rt Cube rt Time Frame
Preparation work for A2 Mathematics [2018]
![Preparation work for A2 Mathematics [2018]](/thumbs/95/123023991.jpg "Preparation work for A2 Mathematics [2018]")
Preparatin wrk fr A Mathematics [018] The wrk studied in Y1 will frm the fundatins n which will build upn in Year 13. It will nly be reviewed during Year 13, it will nt be retaught. This is t allw time
Competency Statements for Wm. E. Hay Mathematics for grades 7 through 12:
Cmpetency Statements fr Wm. E. Hay Mathematics fr grades 7 thrugh 12: Upn cmpletin f grade 12 a student will have develped a cmbinatin f sme/all f the fllwing cmpetencies depending upn the stream f math
We can see from the graph above that the intersection is, i.e., [ ).
MTH 111 Cllege Algebra Lecture Ntes July 2, 2014 Functin Arithmetic: With nt t much difficulty, we ntice that inputs f functins are numbers, and utputs f functins are numbers. S whatever we can d with
Unit 1 Functions Overview: Power, Polynomial, Rational, Exponential, and Logarithmic
Number f : 39 9/6/16 10/28/16 Unit Gals Stage 1 Unit Descriptin: In this unit, students extend their knwledge f functins and mdels. Students analyze functins and their prperties including dmain and range,
MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b
![MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b](/thumbs/78/78051685.jpg "MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b")
. REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but
Preparation work for A2 Mathematics [2017]
![Preparation work for A2 Mathematics [2017]](/thumbs/95/123024115.jpg "Preparation work for A2 Mathematics [2017]")
Preparatin wrk fr A2 Mathematics [2017] The wrk studied in Y12 after the return frm study leave is frm the Cre 3 mdule f the A2 Mathematics curse. This wrk will nly be reviewed during Year 13, it will
Functions. EXPLORE \g the Inverse of ao Exponential Function
ifeg Seepe3 Functins Essential questin: What are the characteristics f lgarithmic functins? Recall that if/(x) is a ne-t-ne functin, then the graphs f/(x) and its inverse,/'~\x}, are reflectins f each
CHAPTER 24: INFERENCE IN REGRESSION. Chapter 24: Make inferences about the population from which the sample data came.
MATH 1342 Ch. 24 April 25 and 27, 2013 Page 1 f 5 CHAPTER 24: INFERENCE IN REGRESSION Chapters 4 and 5: Relatinships between tw quantitative variables. Be able t Make a graph (scatterplt) Summarize the
Building to Transformations on Coordinate Axis Grade 5: Geometry Graph points on the coordinate plane to solve real-world and mathematical problems.
Building t Transfrmatins n Crdinate Axis Grade 5: Gemetry Graph pints n the crdinate plane t slve real-wrld and mathematical prblems. 5.G.1. Use a pair f perpendicular number lines, called axes, t define
Code: MATH 151 Title: INTERMEDIATE ALGEBRA
Cde: MATH 151 Title: INTERMEDIATE ALGEBRA Divisin: MATHEMATICS Department: MATHEMATICS Curse Descriptin: This curse prepares students fr curses that require algebraic skills beynd thse taught in Elementary
Corrections for the textbook answers: Sec 6.1 #8h)covert angle to a positive by adding period #9b) # rad/sec
U n i t 6 AdvF Date: Name: Trignmetric Functins Unit 6 Tentative TEST date Big idea/learning Gals In this unit yu will study trignmetric functins frm grade, hwever everything will be dne in radian measure.
CHAPTER 2 Algebraic Expressions and Fundamental Operations
CHAPTER Algebraic Expressins and Fundamental Operatins OBJECTIVES: 1. Algebraic Expressins. Terms. Degree. Gruping 5. Additin 6. Subtractin 7. Multiplicatin 8. Divisin Algebraic Expressin An algebraic
Part a: Writing the nodal equations and solving for v o gives the magnitude and phase response: tan ( 0.25 )
+ - Hmewrk 0 Slutin ) In the circuit belw: a. Find the magnitude and phase respnse. b. What kind f filter is it? c. At what frequency is the respnse 0.707 if the generatr has a ltage f? d. What is the
Department: MATHEMATICS
Cde: MATH 022 Title: ALGEBRA SKILLS Institute: STEM Department: MATHEMATICS Curse Descriptin: This curse prvides students wh have cmpleted MATH 021 with the necessary skills and cncepts t cntinue the study
Math 105: Review for Exam I - Solutions
1. Let f(x) = 3 + x + 5. Math 105: Review fr Exam I - Slutins (a) What is the natural dmain f f? [ 5, ), which means all reals greater than r equal t 5 (b) What is the range f f? [3, ), which means all
AP Physics Kinematic Wrap Up
AP Physics Kinematic Wrap Up S what d yu need t knw abut this mtin in tw-dimensin stuff t get a gd scre n the ld AP Physics Test? First ff, here are the equatins that yu ll have t wrk with: v v at x x
7 TH GRADE MATH STANDARDS
ALGEBRA STANDARDS Gal 1: Students will use the language f algebra t explre, describe, represent, and analyze number expressins and relatins 7 TH GRADE MATH STANDARDS 7.M.1.1: (Cmprehensin) Select, use,
LHS Mathematics Department Honors Pre-Calculus Final Exam 2002 Answers
LHS Mathematics Department Hnrs Pre-alculus Final Eam nswers Part Shrt Prblems The table at the right gives the ppulatin f Massachusetts ver the past several decades Using an epnential mdel, predict the
Emphases in Common Core Standards for Mathematical Content Kindergarten High School
Emphases in Cmmn Cre Standards fr Mathematical Cntent Kindergarten High Schl Cntent Emphases by Cluster March 12, 2012 Describes cntent emphases in the standards at the cluster level fr each grade. These
Algebra2/Trig: Trig Unit 2 Packet
Algebra2/Trig: Trig Unit 2 Packet In this unit, students will be able t: Learn and apply c-functin relatinships between trig functins Learn and apply the sum and difference identities Learn and apply the
Credits: 4 Lecture Hours: 4 Lab/Studio Hours: 0
Cde: MATH 025 Title: ELEMENTARY ALGEBRA Divisin: MATHEMATICS Department: MATHEMATICS Curse Descriptin: This curse is a review f elementary algebra and requires previus experience in algebra. The curse
CHM112 Lab Graphing with Excel Grading Rubric
Name CHM112 Lab Graphing with Excel Grading Rubric Criteria Pints pssible Pints earned Graphs crrectly pltted and adhere t all guidelines (including descriptive title, prperly frmatted axes, trendline
Experiment #3. Graphing with Excel
Experiment #3. Graphing with Excel Study the "Graphing with Excel" instructins that have been prvided. Additinal help with learning t use Excel can be fund n several web sites, including http://www.ncsu.edu/labwrite/res/gt/gt-
CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007
CS 477/677 Analysis f Algrithms Fall 2007 Dr. Gerge Bebis Curse Prject Due Date: 11/29/2007 Part1: Cmparisn f Srting Algrithms (70% f the prject grade) The bjective f the first part f the assignment is
Lim f (x) e. Find the largest possible domain and its discontinuity points. Why is it discontinuous at those points (if any)?
THESE ARE SAMPLE QUESTIONS FOR EACH OF THE STUDENT LEARNING OUTCOMES (SLO) SET FOR THIS COURSE. SLO 1: Understand and use the cncept f the limit f a functin i. Use prperties f limits and ther techniques,
City of Angels School Independent Study Los Angeles Unified School District
City f Angels Schl Independent Study Ls Angeles Unified Schl District INSTRUCTIONAL GUIDE Algebra 1B Curse ID #310302 (CCSS Versin- 06/15) This curse is the secnd semester f Algebra 1, fulfills ne half
Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax
.7.4: Direct frequency dmain circuit analysis Revisin: August 9, 00 5 E Main Suite D Pullman, WA 9963 (509) 334 6306 ice and Fax Overview n chapter.7., we determined the steadystate respnse f electrical
5 th grade Common Core Standards
5 th grade Cmmn Cre Standards In Grade 5, instructinal time shuld fcus n three critical areas: (1) develping fluency with additin and subtractin f fractins, and develping understanding f the multiplicatin
Mathematics Methods Units 1 and 2
Mathematics Methds Units 1 and 2 Mathematics Methds is an ATAR curse which fcuses n the use f calculus and statistical analysis. The study f calculus prvides a basis fr understanding rates f change in
Differentiation Applications 1: Related Rates
Differentiatin Applicatins 1: Related Rates 151 Differentiatin Applicatins 1: Related Rates Mdel 1: Sliding Ladder 10 ladder y 10 ladder 10 ladder A 10 ft ladder is leaning against a wall when the bttm
Thermodynamics Partial Outline of Topics
Thermdynamics Partial Outline f Tpics I. The secnd law f thermdynamics addresses the issue f spntaneity and invlves a functin called entrpy (S): If a prcess is spntaneus, then Suniverse > 0 (2 nd Law!)
Trigonometric Ratios Unit 5 Tentative TEST date
1 U n i t 5 11U Date: Name: Trignmetric Ratis Unit 5 Tentative TEST date Big idea/learning Gals In this unit yu will extend yur knwledge f SOH CAH TOA t wrk with btuse and reflex angles. This extensin
8 th Grade Math: Pre-Algebra
Hardin Cunty Middle Schl (2013-2014) 1 8 th Grade Math: Pre-Algebra Curse Descriptin The purpse f this curse is t enhance student understanding, participatin, and real-life applicatin f middle-schl mathematics
SPH3U1 Lesson 06 Kinematics
PROJECTILE MOTION LEARNING GOALS Students will: Describe the mtin f an bject thrwn at arbitrary angles thrugh the air. Describe the hrizntal and vertical mtins f a prjectile. Slve prjectile mtin prblems.
Computational modeling techniques
Cmputatinal mdeling techniques Lecture 2: Mdeling change. In Petre Department f IT, Åb Akademi http://users.ab.fi/ipetre/cmpmd/ Cntent f the lecture Basic paradigm f mdeling change Examples Linear dynamical
Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic.
Tpic : AC Fundamentals, Sinusidal Wavefrm, and Phasrs Sectins 5. t 5., 6. and 6. f the textbk (Rbbins-Miller) cver the materials required fr this tpic.. Wavefrms in electrical systems are current r vltage
MAC 1105 College Algebra (3 cr.) Spring 2015 Section Tuesday/Thursday 2:30 3:45 in DSSC 128
MAC 1105 Cllege Algebra (3 cr.) Spring 2015 Sectin 65909 Tuesday/Thursday 2:30 3:45 in Prfessr: Brke Quinlan Email: bquinlan@hccfl.edu Office: Office Phne: (813) 259-6313 MyHCC: https://hccfl.blackbard.cm
Calculus Placement Review. x x. =. Find each of the following. 9 = 4 ( )
Calculus Placement Review I. Finding dmain, intercepts, and asympttes f ratinal functins 9 Eample Cnsider the functin f ( ). Find each f the fllwing. (a) What is the dmain f f ( )? Write yur answer in
B. Definition of an exponential
Expnents and Lgarithms Chapter IV - Expnents and Lgarithms A. Intrductin Starting with additin and defining the ntatins fr subtractin, multiplicatin and divisin, we discvered negative numbers and fractins.
Cologne Academy. Mathematics Department Algebra 1B. (Aligned Text: Prentice Hall/Pearson Algebra 1) Core Knowledge Curriculum 78% Aligned
Clgne Academy Mathematics Department Algebra 1B (Aligned Text: Prentice Hall/Pearsn Algebra 1) Cre Knwledge Curriculum 78% Aligned Adpted: 08/2014 Bard Apprved: 08/28/2014 Updated: 08/12/2017 Page 0 Table
Marietta City Schools Pacing Guide. CCS Benchmarks Skills/Activities Resources Assessment
Marietta City Schls Pacing Guide Subject: Algebra 1 Grade Level: 8 (high schl credit) Time Frame: Year Lng Mnth / Week CCS Benchmarks Skills/Activities Resurces Assessment First nine weeks Chapter 1 Expressins,,
Unit 2 Expressions, Equations, and Inequalities Math 7
Unit 2 Expressins, Equatins, and Inequalities Math 7 Number f Days: 24 10/23/17 12/1/17 Unit Gals Stage 1 Unit Descriptin: Students cnslidate and expand previus wrk with generating equivalent expressins
x x
Mdeling the Dynamics f Life: Calculus and Prbability fr Life Scientists Frederick R. Adler cfrederick R. Adler, Department f Mathematics and Department f Bilgy, University f Utah, Salt Lake City, Utah
Fall 2013 Physics 172 Recitation 3 Momentum and Springs
Fall 03 Physics 7 Recitatin 3 Mmentum and Springs Purpse: The purpse f this recitatin is t give yu experience wrking with mmentum and the mmentum update frmula. Readings: Chapter.3-.5 Learning Objectives:.3.
The standards are taught in the following sequence.
B L U E V A L L E Y D I S T R I C T C U R R I C U L U M MATHEMATICS Third Grade In grade 3, instructinal time shuld fcus n fur critical areas: (1) develping understanding f multiplicatin and divisin and
Trigonometry, 8th ed; Lial, Hornsby, Schneider
Trignmetry, 8th ed; Lial, Hrnsby, Schneider Trignmetry Final Exam Review: Chapters 7, 8, 9 Nte: A prtin f Exam will cver Chapters 1 6, s be sure yu rewrk prblems frm the first and secnd exams and frm the
MODULE ONE. This module addresses the foundational concepts and skills that support all of the Elementary Algebra academic standards.
Mdule Fundatinal Tpics MODULE ONE This mdule addresses the fundatinal cncepts and skills that supprt all f the Elementary Algebra academic standards. SC Academic Elementary Algebra Indicatrs included in
Algebra II ESL. Students will be skilled at. Students will understand that:
UNIT 2 FUNCTIONS IN THIS MODULE, STUDENTS SYNTHESIZE AND GENERALIZE WHAT THEY HAVE LEARNED ABOUT A VARIETY OF FUNCTION FAMILIES. Established Gals: N-RN.A.1 Explain hw the definitin f the meaning f ratinal
Medium Scale Integrated (MSI) devices [Sections 2.9 and 2.10]
![Medium Scale Integrated (MSI) devices [Sections 2.9 and 2.10]](/thumbs/74/69894502.jpg "Medium Scale Integrated (MSI) devices [Sections 2.9 and 2.10]")
EECS 270, Winter 2017, Lecture 3 Page 1 f 6 Medium Scale Integrated (MSI) devices [Sectins 2.9 and 2.10] As we ve seen, it s smetimes nt reasnable t d all the design wrk at the gate-level smetimes we just
Exponential Functions, Growth and Decay
Name..Class. Date. Expnential Functins, Grwth and Decay Essential questin: What are the characteristics f an expnential junctin? In an expnential functin, the variable is an expnent. The parent functin
Y10 Foundation SOW Term 1
Y10 Fundatin SOW Term 1 Algebra Fcus Students shuld be cmpletely familiar with all the rules f algebra Plt straight line graphs f functins by setting up a table f x and y pints as crdinate pairs (by use
Lab 11 LRC Circuits, Damped Forced Harmonic Motion
Physics 6 ab ab 11 ircuits, Damped Frced Harmnic Mtin What Yu Need T Knw: The Physics OK this is basically a recap f what yu ve dne s far with circuits and circuits. Nw we get t put everything tgether
PHYS 314 HOMEWORK #3
PHYS 34 HOMEWORK #3 Due : 8 Feb. 07. A unifrm chain f mass M, lenth L and density λ (measured in k/m) hans s that its bttm link is just tuchin a scale. The chain is drpped frm rest nt the scale. What des
Five Whys How To Do It Better
Five Whys Definitin. As explained in the previus article, we define rt cause as simply the uncvering f hw the current prblem came int being. Fr a simple causal chain, it is the entire chain. Fr a cmplex
Instructional Plan. Representational/Drawing Level
Instructinal Plan Representatinal/Drawing Level Name f Math Skill/Cncept: Divisin Prcess and Divisin with Remainders Prerequisite Skills Needed: 1.) Mastery f dividing cncrete bjects int equal grups. 2.)
, which yields. where z1. and z2
The Gaussian r Nrmal PDF, Page 1 The Gaussian r Nrmal Prbability Density Functin Authr: Jhn M Cimbala, Penn State University Latest revisin: 11 September 13 The Gaussian r Nrmal Prbability Density Functin
More Tutorial at
Answer each questin in the space prvided; use back f page if extra space is needed. Answer questins s the grader can READILY understand yur wrk; nly wrk n the exam sheet will be cnsidered. Write answers,
Calculus AB (Pre Requisites: Pre-Calculus)
Curse Descriptin and Overview Calculus AB (Pre Requisites: Pre-Calculus) Overview The gal f the Calculus AB is t intrduce the first part f Calculus t students. The curse will g int depth t Limits and Cntinuity
Getting Involved O. Responsibilities of a Member. People Are Depending On You. Participation Is Important. Think It Through
f Getting Invlved O Literature Circles can be fun. It is exciting t be part f a grup that shares smething. S get invlved, read, think, and talk abut bks! Respnsibilities f a Member Remember a Literature
End of Course Algebra I ~ Practice Test #2
End f Curse Algebra I ~ Practice Test #2 Name: Perid: Date: 1: Order the fllwing frm greatest t least., 3, 8.9, 8,, 9.3 A. 8, 8.9,, 9.3, 3 B., 3, 8, 8.9,, 9.3 C. 9.3, 3,,, 8.9, 8 D. 3, 9.3,,, 8.9, 8 2:
Area of Learning: Mathematics Pre-calculus 12
Area f Learning: Mathematics Pre-calculus 12 Big Ideas Elabratins Using inverses is the fundatin f slving equatins and can be extended t relatinships between functins. Understanding the characteristics
Math Foundations 20 Work Plan
Math Fundatins 20 Wrk Plan Units / Tpics 20.8 Demnstrate understanding f systems f linear inequalities in tw variables. Time Frame December 1-3 weeks 6-10 Majr Learning Indicatrs Identify situatins relevant
Physics 212. Lecture 12. Today's Concept: Magnetic Force on moving charges. Physics 212 Lecture 12, Slide 1
Physics 1 Lecture 1 Tday's Cncept: Magnetic Frce n mving charges F qv Physics 1 Lecture 1, Slide 1 Music Wh is the Artist? A) The Meters ) The Neville rthers C) Trmbne Shrty D) Michael Franti E) Radiatrs
EEO 401 Digital Signal Processing Prof. Mark Fowler
EEO 401 Digital Signal Prcessing Prf. Mark Fwler Intrductin Nte Set #1 ading Assignment: Ch. 1 f Prakis & Manlakis 1/13 Mdern systems generally DSP Scenari get a cntinuus-time signal frm a sensr a cnt.-time
Higher Mathematics Booklet CONTENTS
Higher Mathematics Bklet CONTENTS Frmula List Item Pages The Straight Line Hmewrk The Straight Line Hmewrk Functins Hmewrk 3 Functins Hmewrk 4 Recurrence Relatins Hmewrk 5 Differentiatin Hmewrk 6 Differentiatin
Algebra 1 /Algebra 1 Honors Curriculum Map
2014-2015 Algebra 1 /Algebra 1 Hnrs Curriculum Map Mathematics Flrida Standards Vlusia Cunty Curriculum Maps are revised annually and updated thrughut the year. The learning gals are a wrk in prgress and
Kinetic Model Completeness
5.68J/10.652J Spring 2003 Lecture Ntes Tuesday April 15, 2003 Kinetic Mdel Cmpleteness We say a chemical kinetic mdel is cmplete fr a particular reactin cnditin when it cntains all the species and reactins
Mathematics and Computer Sciences Department. o Work Experience, General. o Open Entry/Exit. Distance (Hybrid Online) for online supported courses
SECTION A - Curse Infrmatin 1. Curse ID: 2. Curse Title: 3. Divisin: 4. Department: 5. Subject: 6. Shrt Curse Title: 7. Effective Term:: MATH 70S Integrated Intermediate Algebra Natural Sciences Divisin
ANSWER KEY FOR MATH 10 SAMPLE EXAMINATION. Instructions: If asked to label the axes please use real world (contextual) labels
ANSWER KEY FOR MATH 10 SAMPLE EXAMINATION Instructins: If asked t label the axes please use real wrld (cntextual) labels Multiple Chice Answers: 0 questins x 1.5 = 30 Pints ttal Questin Answer Number 1
Who is the Holy Spirit?
ill at w w this h t h in SS est abut erence u O q L G ka iff hink : As m t t es a d K S k A the n ma. wn help rmati ur Jesus. y f t u inf e life ab h iple in t alk a disc f T : RE ce as ece t i A p SH
Physics 2010 Motion with Constant Acceleration Experiment 1
. Physics 00 Mtin with Cnstant Acceleratin Experiment In this lab, we will study the mtin f a glider as it accelerates dwnhill n a tilted air track. The glider is supprted ver the air track by a cushin
GHS Course Syllabus. Department: Math Room #: 112 Periods Taught: 3, 4, 6, 7
GHS Curse Syllabus General Curse Infrmatin Curse Title: Accelerated Algebra 2 Year: 2015-2016 Department: Math Rm #: 112 Perids Taught: 3, 4, 6, 7 Resurces: Online editin f Algebra 2: Kanld, Burger, Dixn,
Plan o o. I(t) Divide problem into sub-problems Modify schematic and coordinate system (if needed) Write general equations
STAPLE Physics 201 Name Final Exam May 14, 2013 This is a clsed bk examinatin but during the exam yu may refer t a 5 x7 nte card with wrds f wisdm yu have written n it. There is extra scratch paper available.
An Introduction to Complex Numbers - A Complex Solution to a Simple Problem ( If i didn t exist, it would be necessary invent me.
An Intrductin t Cmple Numbers - A Cmple Slutin t a Simple Prblem ( If i didn t eist, it wuld be necessary invent me. ) Our Prblem. The rules fr multiplying real numbers tell us that the prduct f tw negative
BASIC DIRECT-CURRENT MEASUREMENTS
Brwn University Physics 0040 Intrductin BASIC DIRECT-CURRENT MEASUREMENTS The measurements described here illustrate the peratin f resistrs and capacitrs in electric circuits, and the use f sme standard
CPM COLLEGE PREPARATORY MATH (6 th through 12 th Grade)
CPM COLLEGE PREPARATORY MATH (6 th thrugh 12 th Grade) The Twin Valley Schl District uses Cllege Preparatry Mathematics (CPM) in the middle grades (6th, 7 th and 8 th ) and in ur secndary math prgram (9th
AIP Logic Chapter 4 Notes
AIP Lgic Chapter 4 Ntes Sectin 4.1 Sectin 4.2 Sectin 4.3 Sectin 4.4 Sectin 4.5 Sectin 4.6 Sectin 4.7 4.1 The Cmpnents f Categrical Prpsitins There are fur types f categrical prpsitins. Prpsitin Letter
Admin. MDP Search Trees. Optimal Quantities. Reinforcement Learning
Admin Reinfrcement Learning Cntent adapted frm Berkeley CS188 MDP Search Trees Each MDP state prjects an expectimax-like search tree Optimal Quantities The value (utility) f a state s: V*(s) = expected
Admissibility Conditions and Asymptotic Behavior of Strongly Regular Graphs
Admissibility Cnditins and Asympttic Behavir f Strngly Regular Graphs VASCO MOÇO MANO Department f Mathematics University f Prt Oprt PORTUGAL vascmcman@gmailcm LUÍS ANTÓNIO DE ALMEIDA VIEIRA Department
MATHEMATICS Higher Grade - Paper I
Higher Mathematics - Practice Eaminatin B Please nte the frmat f this practice eaminatin is different frm the current frmat. The paper timings are different and calculatrs can be used thrughut. MATHEMATICS
I. Analytical Potential and Field of a Uniform Rod. V E d. The definition of electric potential difference is
Length L>>a,b,c Phys 232 Lab 4 Ch 17 Electric Ptential Difference Materials: whitebards & pens, cmputers with VPythn, pwer supply & cables, multimeter, crkbard, thumbtacks, individual prbes and jined prbes,
Physics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018
Michael Faraday lived in the Lndn area frm 1791 t 1867. He was 29 years ld when Hand Oersted, in 1820, accidentally discvered that electric current creates magnetic field. Thrugh empirical bservatin and
ECE 2100 Circuit Analysis
ECE 2100 Circuit Analysis Lessn 25 Chapter 9 & App B: Passive circuit elements in the phasr representatin Daniel M. Litynski, Ph.D. http://hmepages.wmich.edu/~dlitynsk/ ECE 2100 Circuit Analysis Lessn
Concept Category 2. Trigonometry & The Unit Circle
Cncept Categry 2 Trignmetry & The Unit Circle Skill Checklist Use special right triangles t express values f fr the six trig functins Evaluate sine csine and tangent using the unit circle Slve tw-step
Unit 1 Equations and Inequalities
Unit 1 Equatins and Inequalities Number f Days: 29 9/5/17 10/13/17 Unit Gals Stage 1 Unit Descriptin: Students extend their understanding f slving linear equatins in ne variable t slving equatins with
Computational modeling techniques
Cmputatinal mdeling techniques Lecture 4: Mdel checing fr ODE mdels In Petre Department f IT, Åb Aademi http://www.users.ab.fi/ipetre/cmpmd/ Cntent Stichimetric matrix Calculating the mass cnservatin relatins
Internal vs. external validity. External validity. This section is based on Stock and Watson s Chapter 9.
Sectin 7 Mdel Assessment This sectin is based n Stck and Watsn s Chapter 9. Internal vs. external validity Internal validity refers t whether the analysis is valid fr the ppulatin and sample being studied.
A - LEVEL MATHEMATICS 2018/2019
A - LEVEL MATHEMATICS 2018/2019 STRUCTURE OF THE COURSE Yur maths A-Level Maths curse cvers Pure Mathematics, Mechanics and Statistics. Yu will be eamined at the end f the tw-year curse. The assessment
EASTERN ARIZONA COLLEGE Precalculus Trigonometry
EASTERN ARIZONA COLLEGE Precalculus Trignmetry Curse Design 2017-2018 Curse Infrmatin Divisin Mathematics Curse Number MAT 181 Title Precalculus Trignmetry Credits 3 Develped by Gary Rth Lecture/Lab Rati
5 th Grade Goal Sheet
5 th Grade Gal Sheet Week f Nvember 19 th, 2018 Upcming dates: 11/19 Franklin Institute Field Trip: Pack a Lunch 11/22 and 11/23 Schl Clsed fr the Thanksgiving Break. Frm Ms. Simmns: Dear 5 th Grade Students,
3. Classify the following Numbers (Counting (natural), Whole, Integers, Rational, Irrational)
After yu cmplete each cncept give yurself a rating 1. 15 5 2 (5 3) 2. 2 4-8 (2 5) 3. Classify the fllwing Numbers (Cunting (natural), Whle, Integers, Ratinal, Irratinal) a. 7 b. 2 3 c. 2 4. Are negative
Supplementary Course Notes Adding and Subtracting AC Voltages and Currents
Supplementary Curse Ntes Adding and Subtracting AC Vltages and Currents As mentined previusly, when cmbining DC vltages r currents, we nly need t knw the plarity (vltage) and directin (current). In the