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### t1review07

Course: MATH 106, Fall 2008
School: UNL
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Word Count: 297

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1 Exam Review Topics Basics: concept of limit, left and right limit; definition of continuity; removable and nonremovable discontinuity; Intermediate Value Theorem; concept of horizontal, vertical, slant asymptotes; definition of derivative; tangent line, secant line; concept of average and instantaneous slopes/velocities; Techniques: find limits by numerical and graphical means, find limits of undetermined types:...

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Coursehero >> Nebraska >> UNL >> MATH 106

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Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
1 Exam Review Topics Basics: concept of limit, left and right limit; definition of continuity; removable and nonremovable discontinuity; Intermediate Value Theorem; concept of horizontal, vertical, slant asymptotes; definition of derivative; tangent line, secant line; concept of average and instantaneous slopes/velocities; Techniques: find limits by numerical and graphical means, find limits of undetermined types: /, 0/0; find limits by Squeeze Theorem; find limits by definition; find limits by power rules, linearity rule; find horizontal, vertical, slant asymptotes (using long division); find roots of polynomials through factorization; application of Intermediate Value Theorem to determine the existence of roots of functions and the conceptual algorithm of bisection; simplify expressions involving exponential and logarithmic functions and find exact (not calculator assisted numerical) solutions to equations with elementary functions; find equations of tangent lines and sketch tangent lines; transform and sketch graphically for f(x) + b, f(x+b), af(x), f(ax) if f(x) is given; sketch function if f(x) its derivative f'(x) is given; sketch the derivative function f'(x) if the function f(x) is given; hand sketch lines, parabola, cubic functions, trigonometric functions, trigonometric functions with varying amplitudes, exponential functions, and logarithmic functions Elementary Functions: basic forms and shapes of polynomials: linear function, parabola, cubic polynomials, definitions of trigonometric functions, exponential functions, and logarithmic functions, basic identities of trigonometric functions including double angle and half angle formulas, basic rules, identities, and limiting properties as x for exponential and logarithmic func...

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UNL - MATH - 106
Exam 2 Review TopicsBasics: Derivatives, tangent line approximation, linear approximation, critical points (2 types), inflection points, local extrema, absolute extrema, increasing and decreasing, concave down and concave up, mean values. Techniques
UNL - MATH - 106
Mathematics 106, Spring-2006 Group Project-&quot;Help! I'm Building a Greenhouse&quot; Assigned: Feb. 23, 2006, Due Date: April 6, 2006Guidelines:Keep in mind that part of your grade is based on the quality of your written presentation. The paper you turn in
UNL - MATH - 106
UNL - BDENG - 1
Spring 2003 Math 20811:30-12:20 pm, Mon. Wed. Fri. Room: 201 Henzlik Hall Office Hours: 2:30-3:30 MWF Spring 2003 Math 912:30-1:20 pm, Mon. Wed. Fri. Room: 36 Henzlik Hall Office Hours: 2:30-3:30 MWFClass Information, Rules, and Policy Syll
UNL - BDENG - 1
-Spring Course Announcement-BIOS 456/856 Mathematical Models in BiologyInstructor: Time: David Logan, Department of Mathematics MWF 11:3012:20Call Numbers: 1798 (Bios 456) and 1827 (Bios 856) Prerequisite: Calculus I or its equivalent (derivativ
UNL - MATH - 439
Fall Semester Course Announcement Math 439/839(aka Mathematical Biology)Time: MWF 12:30, Fall 2005 Instructor: Bo Deng, Department of Mathematics Text: Lecture notes, and reserved references Prerequisite: Calculus 1 minimum, and Calculus 2, 3 recom
UNL - BDENG - 1
Spring Semester Course AnnouncementBIOS 456/856 Mathematical Models in BiologyTime: MWF 1130 Instructor: David Logan, Department of Mathematics Text: E.A. Allman and J.A. Rhodes, 2004. Mathematical Models in Biology, Cambridge University Press (p
UNL - MATH - 439
#bdeng#b#d#e#n#g#| N@#U#n#i#v#e#r#s#i#t#y# #o#f# #N#e#b#r#a#s#k#a# #L#i#n#c#o#l#n#43\$#F#
UNL - BDENG - 1
THE RUTE SCHOLARS PROGRAM:A RESEARCH OPPORTUNITY IN BIOLOGY/ MATHEMATICS FOR UNDERGRADUATESCritical questions in contemporary biology increasingly require mathematical analyses for their answers; there are outstanding career opportunities for stud
UNL - BDENG - 1
BIOLOGY AND MATH STUDENTS! Are you interested in learning about insect life cycles and population growth? Are you interested in using mathematics to learn about biology? Would you like a biology-and-mathematics research experience during the sum
UNL - BDENG - 1
Undergraduate and graduate students in Biology, Natural Resources, and Mathematics:1.2.3.Are you interested in knowing about careers that combine mathematics and biology? Are you free on Thursday, 9/21, from 5:00 to approximately 7:00? Do you
UNL - MATH - 208
Math 208, Summer 2007, Exam 3 Show your work. Justify your conclusions. [6] 1. Let w = f (x, y, z), x = x(s, t), y = y(s) and z = z(t). Write out, with correct derivative notation, the chain rule expressions for ws and wt . [4] 2. Suppose that the fu
UNL - MATH - 07
Outline for Exam 2The exam will cover sections 10.5, 11.1-11.3 and 12.1-12.3. The topics by section are10.5 Planes in R3 . Finding the equation of the plane through a given point normal to a given vector. Finding the equation of a plane through t
UNL - MATH - 208
Outline for Exam 2The exam will cover sections 10.5, 11.1-11.3 and 12.1-12.3. The topics by section are10.5 Planes in R3 . Finding the equation of the plane through a given point normal to a given vector. Finding the equation of a plane through t
UNL - MATH - 06
Math 208 Quiz 5 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) Set up an iterated integral in the spherical coordinate for the triple integralQ(x2 +
UNL - MATH - 208
Math 208 Quiz 5 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) Set up an iterated integral in the spherical coordinate for the triple integralQ(x2 +
UNL - MATH - 07
Outline for Exam 4The exam will cover sections 13.1-13.7. The topics by section are13.1-13.3 The double integral over a rectangular and nonrectangular regions. Iterated integrals over rectangles and regions bounded by curves. Fubini's theorem. Ch
UNL - MATH - 208
Outline for Exam 4The exam will cover sections 13.1-13.7. The topics by section are13.1-13.3 The double integral over a rectangular and nonrectangular regions. Iterated integrals over rectangles and regions bounded by curves. Fubini's theorem. Ch
UNL - MATH - 208
Exam 3 Solutions1. If you use d-notation, then the partial derivatives are f x f dy w = + , s x s y ds and w f x f dz = + . t x t z dt2. By the chain rule, wx = fu ux + fv vx = xfu + yfv . And by the chain and product rules, wxx = fu + x [fuu ux
UNL - MATH - 07
Outline for Exam 3The exam will cover sections 12.4-12.8. The topics by section are12.4 The multivariable chain rule. Tree diagrams, applications of the chain rule.12.5 The gradient. Properties of the gradient. Directional derivatives, the dire
UNL - MATH - 208
Outline for Exam 3The exam will cover sections 12.4-12.8. The topics by section are12.4 The multivariable chain rule. Tree diagrams, applications of the chain rule.12.5 The gradient. Properties of the gradient. Directional derivatives, the dire
UNL - MATH - 06
Exam 1 Topics Review 1. Vectors in R2 (a) Vectors and scalars. The magnitude and direction of a vector. (b) Graphical vector operations: addition, subtraction, scalar multiplication. (c) Vectors in component form. Vectors in polar form. (d) Vector al
UNL - MATH - 208
Exam 1 Topics Review 1. Vectors in R2 (a) Vectors and scalars. The magnitude and direction of a vector. (b) Graphical vector operations: addition, subtraction, scalar multiplication. (c) Vectors in component form. Vectors in polar form. (d) Vector al
UNL - MATH - 208
Exam 2 Solutions 1. The plane passing through (1, 2, 1) has normal 3, 1, 2 . Hence its equation is 3(x 1) + (y 2) + 2(z + 1) = 0. 2a. Since gravity alone acts on the projectile, r (t) = 9.8. The initial velocity is and the initial position, r (0) =
UNL - MATH - 06
Math 208 Quiz 3 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) If fx (1, 0) = 2, fy (1, 0) = 1, nd the unit direction at which f increases most rapidly
UNL - MATH - 208
Math 208 Quiz 3 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) If fx (1, 0) = 2, fy (1, 0) = 1, nd the unit direction at which f increases most rapidly
UNL - MATH - 07
Math 208 Quiz 5 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) Set up an iterated integral in the spherical coordinate for the triple integralQxz dV
UNL - MATH - 208
Math 208 Quiz 5 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) Set up an iterated integral in the spherical coordinate for the triple integralQxz dV
UNL - MATH - 06
Math 208 Quiz 1 Name: PIN(in any 4 digits): Score:Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (2) Find the distance between two points A(0, 1, -1), B(3, 2, -1).2
UNL - MATH - 208
Math 208 Quiz 1 Name: PIN(in any 4 digits): Score:Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (2) Find the distance between two points A(0, 1, -1), B(3, 2, -1).2
UNL - MATH - 06
Math 208 Quiz 4 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) Find the critical points and use the second derivative test to determine their type as l
UNL - MATH - 208
Math 208 Quiz 4 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) Find the critical points and use the second derivative test to determine their type as l
UNL - MATH - 06
Math 208 Summer II 2006 Exam 2 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(10pts) (a) Find the directional derivative of function z = f (x, y) = x2 y at
UNL - MATH - 208
Math 208 Summer II 2006 Exam 2 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(10pts) (a) Find the directional derivative of function z = f (x, y) = x2 y at
UNL - MATH - 07
Math 208 Quiz 4 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) Find the critical points of the function z = f (x, y) = 9x3 + y 3 /3 - 4xy + 5, and then
UNL - MATH - 208
Math 208 Quiz 4 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) Find the critical points of the function z = f (x, y) = 9x3 + y 3 /3 - 4xy + 5, and then
UNL - MATH - 06
Math 208 Quiz 4 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) Find the critical points and use the second derivative test to determine their type as l
UNL - MATH - 208
Math 208 Quiz 4 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) Find the critical points and use the second derivative test to determine their type as l
UNL - MATH - 06
Math 208 Summer II 2006 Final Exam Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(20pts) (a) Find the directional derivative of function z = x2 + y at the p
UNL - MATH - 208
Math 208 Summer II 2006 Final Exam Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(20pts) (a) Find the directional derivative of function z = x2 + y at the p
UNL - MATH - 06
Math 208 Quiz 3 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) If fx (1, 0) = 2, fy (1, 0) = 1, nd the unit direction at which f increases most rapidly
UNL - MATH - 208
Math 208 Quiz 3 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) If fx (1, 0) = 2, fy (1, 0) = 1, nd the unit direction at which f increases most rapidly
UNL - MATH - 07
Math 208 Summer II 2007Exam 2Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(12pts) For function z = f (x, y) it is given that fx (-3, 5) = 1, fy (-3, 5)
UNL - MATH - 208
Math 208 Summer II 2007Exam 2Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(12pts) For function z = f (x, y) it is given that fx (-3, 5) = 1, fy (-3, 5)
UNL - MATH - 425
Dec. 19, 2002 Name:MATH 425 Final ExamFall Semester, 2002 Score:1(8pts) (a) State the Completeness Axiom. (b) Use the Completeness Axiom only to prove that every bounded sequence {s n } has a converging subsequence. 2(10pts) Prove that every Ca
UNL - MATH - 425
1Math425 Test 1 Review Topics Method of mathematical induction, binomial expansion. Rational zeros theorem. Proof of triangle inequality. Definitions of max, min, sup, inf of subsets of R. Proof of inf S = - sup(-S). Completeness Axiom, statem
UNL - MATH - 221
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UNL - MATH - 221
Maple Assignment 1 Instruction: Work through each example in Maple. Print out your worksheet. Sign it and hand it in on time.123
UNL - MATH - 221
Maple Assignment 4 Instruction: Work through each example in Maple. Print out your worksheet. Sign it and hand it in on time.123
UNL - MATH - 221
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UNL - MATH - 221
UNL - MATH - 221
UNL - MATH - 221
Math 221/821Final ExamDec. 14, 2000Name: Score: Instructions: You must show supporting work to receive full and partial credits.1(16 pts) Find the general solution to the separable equation cos y solution is acceptable.) dy = t sin y + 2t. (Ei
UNL - MATH - 221
Math 221/821Name:Test IIScore:Mar. 8, 2001Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets are allowed. 1(15 pts) Solve the initial value problem y + 4y + 5 = 0, y(0) = 2, y
UNL - MATH - 221
Math 221/821Final ExamApril 30, 2001Name: Score: Instructions: You must show supporting works to receive full and partial credits.dy = y 2 - 1, y(1) = 1(16 pts) Find the (explicit) solution to the initial value problem of the separable equatio
UNL - MATH - 221
June 28, 2002Math 221 Test 3Summer 2002Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(15pts) Find a general solution to this 1st order linear equation
UNL - MATH - 221
Math 221 Test 2Fall 2004Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(18pts) Consider the differential equation (a) Sketch the graph of the (b) Sketch
UNL - MATH - 221
June 21, 2002Math 221 Test 2Summer 2002Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(15pts) Find a particular solution (synchronous) solution to y +
UNL - MATH - 221
UNL - MATH - 221
Math 221 Sec.4 Name:Test IFeb. 8, 2001 Score:Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(15 pts) Verify that ln y + xy = 5 denes an implicit solution to the equ
UNL - MATH - 221
Aug. 15, 2002Math 221 Test 5Summer(2) 2002Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, personal notes, formula sheets allowed. One formula sheet will be provided. 1(10pts) Use defin