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U. Houston - M - 1300
Math 1300 Greatest Common Factor and Factoring by GroupingSection 4.1 Notes(Review) Factoring Definition: A factor is a number, variable, monomial, or polynomial which is multiplies by another number, variable, monomial, or polynomial to obtain a
U. Houston - M - 1314
M 1314lesson 2 Math 1314 Lesson 2 One-Sided Limits and Continuity One-Sided Limits1Sometimes we are only interested in the behavior of a function when we look from one side and not from the other. Example 1: Consider the function f ( x) =x x .
U. Houston - M - 1300
Math 1300Section 1.7 NotesSolving Linear Inequalities An inequality is similar to an equation except instead of an equal sign = you find one of the following signs: <, , >, or . Now > and < are strict inequalities, and and are inequalities that
U. Houston - M - 1310
Math 1310 Absolute Value EquationsSection 2.8 NotesNearly everyone can say that the absolute value of 3 is _. But I want you to start thinking of absolute value as a distance from zero. If I tell you to read out loud and draw the equation |x| = 3
U. Houston - M - 1300
Math 1300Section 1.3 NotesGCD (Greatest Common Divisor) 1) Write each of the given numbers as a product of prime factors. 2) The GCD of two or more numbers is the product of all prime factors common to every number. Examples: 1. Find the GCD of 2
U. Houston - M - 1300
Math 1300Section 1.6 NotesSolving Linear Equations Steps: 1) Distribute if the equation has parentheses 2) Combine any like terms 3) Isolate the variable by doing addition/subtraction before multiplication/division Examples: 1. x + 2 =82. 4
U. Houston - M - 1310
M 13103.5 Maximum and Minimum Values1A quadratic function is a function which can be written in the form f ( x) = ax 2 + bx + c ( a 0 ). Its graph is a parabola.Every quadratic function f ( x) = ax 2 + bx + c can be written in standard form:
U. Houston - M - 1300
Math 1300Section 1.8 NotesSolving Absolute Value Equations: To solve and equation involving absolute values, use the following property: If C is positive, then |x| = C is equivalent to x = C. Special cases for |x| = C: Case 1: If C is negative
U. Houston - M - 1314
Test-Taking Information Math 1314 Spring 2009There will be four tests during the course of the semester and a mandatory, comprehensive final exam. Test 1 counts 8% of your semester grade and test s 2 4 each count 12% of your semester grade. The fi
U. Houston - M - 1310
Math 1310 1. Homework is due before class begins. a. True b. FalsePopper #012. I must bubble in _ on homework and popper scantrons or I will get a zero for that grade. a. Section number b. Assignment number c. Grading ID d. All of the above 3. If
U. Houston - M - 1310
Math 1310 1.a.14 b. 6 c.56 2.a.1 b. -1 c.100 d. 10 3.a.(-, ) b. (-, 5/3) u (5/3, ) c.[5/3, ) d. (-, 5/3] 4.a.False b. True c.False 5.a.k = 2/25 6.a.k = 3/2, P = 9/2 7.a. 8.a.Up 2 b. Reflect y, down 2 c.Reflect y, left 2 d. Reflect y, left 3, down 2 e
U. Houston - M - 1313
Math 1313 Section 19280 1. Homework is due before class begins. a. True b. FalsePopper 01 Form A2. I must bubble in _ on popper scantrons or I will get a zero for that grade. a. Section number b. Assignment number c. Grading ID d. Form A e. All o
U. Houston - M - 1313
Math 1313 Course Objectives Chapter.Section Objective and Examples Material Covered by End of Week # 11.2Given two points on a line, determine the slope and equation of the line in point-slope form and slopeintercept form. Example: Find the equat
U. Houston - MATH - 1313
1Math 1313Section 7.4 Section 7.4 Use of Counting Techniques in ProbabilitySome of the problems we will work will have very large sample spaces or involve multiple events. In these cases, we will need to use the counting techniques from the ch
U. Houston - MATH - 1432
MATH 1432. QUIZ 3.1. Use integration by parts to computex ln(x) dx u = ln(x) v=x 2 dx dv = x dx du = x x ln(x) dx= u dv= uv v du 2 2 = x ln(x) x dx 2 2 x 2 = x ln(x) x dx 2 2 =x2 ln(x) 22x2 4+ C.2. Compute (a) dxd dx d 1sin
U. Houston - MATH - 1431
Lecture 1Section 2.1 The Ideal of LimitDenition of LimitSection 2.2Jiwen He11.1Section 2.1 The Ideal of LimitThe Ideal of LimitGraphical Introduction to Limitxclim f (x) = L In taking the limit of a function f as x approaches c, it
U. Houston - MATH - 3338
Second ExamProbability MATH 3338-10853 (Fall 2006) September 25, 2006This exam has 3 questions, for a total of 100 points. Please answer the questions in the spaces provided on the question sheets. If you run out of room for an answer, continue o
U. Houston - MATH - 3338
First ExamProbability MATH 3338-10853 (Fall 2006) September 13, 2006This exam has 2 questions, for a total of 0 points. Please answer the questions in the spaces provided on the question sheets. If you run out of room for an answer, continue on t
U. Houston - MATH - 3338
Third ExamProbability MATH 3338-10853 (Fall 2006)October 23, 2006This exam has 3 questions, for a total of 100 points. Please answer the questions in the spaces provided on the question sheets. If you run out of room for an answer, continue on
U. Houston - MATH - 1431
Section 4.5Lecture 13Section 4.5 Some Max-Min Problems Jiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/Math1431Jiwen He, University of HoustonMath 1431 Section 24076, Lecture 13October 14,
U. Houston - MATH - 1431
Lecture 22Section 6.2 Volume by Parallel Cross SectionSection 6.3 Volume by the Shell MethodJiwen HeTest 3 Test 3: Dec. 4-6 in CASA Material - Through 6.3. Final Exam Final Exam: Dec. 14-17 in CASA Review for Test 3 Review for Test 3 by the C
U. Houston - MATH - 3331
Information GradesMath 3331 Section 19470ODE, Spring 2009 Course SyllabusJiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/math3331Jiwen He, University of HoustonMath 3331 Section 19470Ja
U. Houston - MATH - 1431
Test 1 ReviewJiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/Math1431Jiwen He, University of HoustonMath 1431 Section 24076, Test 1 ReviewSeptember 30, 20081 / 30Test 1 MaterialTest 1 w
U. Houston - MATH - 1431
Section 4.5 Cont. Section 4.6Lecture 14Section 4.6 Concavity and Points of InflectionJiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/Math1431Jiwen He, University of HoustonMath 1431 Section
U. Houston - MATH - 1431
Review Section 3.1Lecture 5Section 3.1 The Derivative Jiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/Math1431Jiwen He, University of HoustonMath 1431 Section 24076, Lecture 5September 9, 2
U. Houston - MATH - 1431
Section 6.4Lecture 23Section 6.4 The Centroid of a Region; Pappus' Theorem on Volumes Jiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/Math1431Jiwen He, University of HoustonMath 1431 Section
U. Houston - MATH - 1431
Section 6.2 Section 6.3Lecture 22Section 6.2 Volume by Parallel Cross Section Section 6.3 Volume by the Shell MethodJiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/Math1431Jiwen He, University
U. Houston - MATH - 3363
Information GradesMath 3363 Section 19490Introduction to PDE, Spring 2009 Course SyllabusJiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/math3363Jiwen He, University of HoustonMath 3363 S
U. Houston - MATH - 3331
Section 2.1 In-Class Exercises AssignmentsLecture 2Section 2.1 Differential Equations and SolutionsJiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/math3331Jiwen He, University of HoustonMath
U. Houston - MATH - 1431
Review Section 3.4 Section 3.8Lecture 9Section 3.4 Derivative as a Rate of Change Section 3.8 Rates of Change per Unit TimeJiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/Math1431y (t) = 1 gt
U. Houston - MATH - 1431
Lecture 15Section 4.7 Vertical and Horizontal Asymptotes;Vertical Tangents and CuspsJiwen HeTest 2 Test 2: November 1-4 in CASA Loggin to CourseWare to reserve your time to take the exam. Review for Test 2 Review for Test 2 by the College Succ
U. Houston - MATH - 1431
Lecture 3Section 2.4 ContinuityJiwen He11.1ReviewLimitsHomework and Quizzes Homework 1 & 2 Homework 1 is due September 4th in lab. Homework 2 is due September 9th in lab.Quizzes 1 & 2 Quizzes 1 and 2 are available on CourseWare!The Id
U. Houston - MATH - 1431
Section 5.6 Section 5.7Lecture 19Section 5.6 Indenite Integrals Section 5.7 The u-Substitution Jiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/Math1431Jiwen He, University of HoustonMath 1431
U. Houston - MATH - 1432
Lecture 14Section 9.6 Curves Given ParametricallyJiwen He11.1Parametrized curveParametrized curveParametrized curveParametrized curve A parametrized Curve is a path in the xy-plane traced out by the point (x(t), y(t) as the parameter t ran
U. Houston - MATH - 1432
Math 1432 - Exam III Morgan, Spring 2003Name:_ Social Sec.:_Answer problems 1-12 in the spaces provided below. Questions (5 points each)1. Give the exact value ofAnswers2n =0 1n.2. Give the exact value of 3. Suppose f ( x) = c
U. Houston - MATH - 1432
Lecture 23Section 11.3 The Root Test; The Ratio TestJiwen He1Comparison Tests Basic Series that Converge or Diverge ak convergesk=1ik=jak converges, j 1.In determining whether a series converges, it does not matter where the summatio
U. Houston - MATH - 1431
Test 2 ReviewJiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/Math1431Jiwen He, University of HoustonMath 1431 Section 24076, Test 2 ReviewOctober 28, 20081 / 69Online QuizzesAll current
U. Houston - MATH - 1431
Section 2.1 Section 2.2Lecture 1Section 2.1 The Ideal of Limit Section 2.2 Denition of Limit Jiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/Math1431Jiwen He, University of HoustonMath 1431 S
U. Houston - MATH - 3331
Welcome Section 1.1 In-Class Exercises AssignmentsLecture 1Section 1.1 Dierential Equation ModelsJiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu math.uh.edu/jiwenhe/math3331Jiwen He, University of HoustonMath 3
U. Houston - MATH - 1431
Lecture 18Section 5.5 Some Area ProblemsJiwen HeQuiz 1 What is today? a. b. c. d. Monday Wednesday Friday None of these11.1Section 5.5 Some Area ProblemsArea below the graph of a Nonnegative fArea below the graph of a Nonnegative f f (x) 0
U. Houston - MATH - 1432
Lecture 5Section 7.6 Exponential Growth and DecayJiwen He11.1Population GrowthHuman Population GrowthExponential Growth of the World Population Over the course of human civilization population was fairly stable, growing only slowly until a
U. Houston - MATH - 1431
Lecture 11Section 4.1 Mean-Value Theorem Section 4.2Increasing and Decreasing FunctionsJiwen He11.1ReviewInfoTest 1 Test 1 - updated due to ike. October 7-9 in CASAQuiz 1 Quiz 1 Use 1 iteration of Newtons method to approx. a solution t
U. Houston - MATH - 1431
Lecture 4Section 2.5 The Pinching TheoremBasic Properties of ContinuitySection 2.6 TwoJiwen He11.1ReviewContinuityHomework and Quizzes Homework 1 & 2 Homework 1 is due September 4th in lab. Homework 2 is due September 9th in lab.Quiz
U. Houston - MATH - 1431
Calculus I, Fall 2008Homework 7Math 1431, Section 24076PRINT your name and PeopleSoft ID number below. Name: UH-ID: Instructions Print out this le and complete the problems (Print it double-sided to reduce printing costs). You must do all the
U. Houston - MATH - 1432
Lecture 2Section 7.2 The Logarithm Function, Part IJiwen He11.1Denition and Properties of the Natural Log FunctionDenition of the Natural Log FunctionWhat We Do/Dont Know About f (x) = xr ? We know that:n times For r = n positive integer,
U. Houston - MATH - 1432
Review for Test 3Jiwen He11.1Sections 10.410.6Important LimitsSome Important Limits 1-4 1 = 0, n n lim lim x n = 1,1 > 0. x > 0. if |x| < 1.nnlim xn = 0(The limit does not exist if |x| > 1 or x = -1.) xn = 0. n n! lim Some Importa
U. Houston - MATH - 1432
Integral TestLecture 22Section 11.2 The Integral Test; Comparison TestsJiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu http:/math.uh.edu/jiwenhe/Math1432 X k=1Z f (k) converges iff1f (x)dx convergesJiwen
U. Houston - MATH - 1431
Lecture 5Section 3.1 The DerivativeJiwen He11.1ReviewInfoHomework and Quizzes Homework 2 & 3 Homework 2 is due today in lab. Homework 3 is due September 16th in lab.Online Quizzes Quizzes 1 and 2 have expired! Quiz 3 is posted and due
U. Houston - MATH - 1432
Integration by Parts Parts on Denite IntegralsLecture 7Section 8.2 Integration by PartsJiwen HeDepartment of Mathematics, University of Houstonjiwenhe@math.uh.edu http:/math.uh.edu/jiwenhe/Math1432` d uv = u dv + v du, Z u dv = uv Z v du
U. Houston - MATH - 3363
University of Houston Department of Mathematics MATH 3363 - Introduction to Partial Differential EquationsPrerequisites: Math 2433 and either Math 3321 or Math 3331. Course Description: Partial differential equations and boundary value problems, Fou
U. Houston - MATH - 1300
Chapter 2 Section 2.1 An introduction to the coordinate plane1Which quadrant or axis does the following point belong to? 1 (-3,-6) 2 (8,0) 3 (6,-1) 4 (-9,7) 5 (0,-7) 6 (5, -7/4) 7 8 9 10 Find the value of x if y = -7 for the equationy-2= xFin
U. Houston - MATH - 1300
Chapter 3 Section 3.1 An introduction to polynomial functions Find f(4) for the following polynomial 1 2 313 2 f ( x) = 4 x - 5 x - 5 x + 1 1 3 1 2 1 f ( x) = x - x - x +1 4 16 64 f ( x) = x + 12Find the y- intercept for the following: 4 5 6 7
U. Houston - M - 1300
Chapter/SectionObjective and ExamplesMaterial Covered by the end of week #11.1Identification of real numbers: Natural Example: {1, 2, 3, 4, .} Whole Example: {0, 1, 2, 3, 4, .} Integers Example: {., -4, -3, -2, -1, 0, 1, 2, 3, 4, .} Rational
U. Houston - M - 1314
Math 1314 Lesson 14 Optimization Now you'll work some problems where the objective is to optimize a function. That means you want to make it as large as possible or as small as possible depending on the problem. The first task is to write a function
U. Houston - M - 1314
Math 1314 Lesson 12 Curve Sketching One of our objectives in this part of the course is to be able to graph functions. In this lesson, well add to some tools we already have to be able to sketch an accurate graph of each function. From prerequisite m
U. Houston - M - 1310
M 13104.2 Dividing Polynomials1Terms you should know: Quotient Divisor Dividend Example using long division:25 21 54042 120 105 15 The remainder is 15, the quotient is 25Example of long division of polynomials:2x 2 + 6x + 20 +2 x 3 - 2 x
U. Houston - M - 1314
Math 1314 Lesson 6 The Chain Rule In this lesson, you will learn the last of the basic rules for finding derivatives: the chain rule. Example 1: Decompose h(x) = (3x2 5x + 6)4 into functions f(x) and g(x) such that h(x) = (f g)(x).Example 2: Deco
U. Houston - M - 1314
Math 1314 Lesson 11 Applications of the Second Derivative Concavity Earlier in the course, we saw that the second derivative is the rate of change of the first derivative. The second derivative can tell us if the rate of change of the function is inc