100 sample documents related to MATH 1502

• 
  Derivatives in Approximation Notes

  Georgia Tech MATH 1502
  

  Calculus II Derivatives in Approximation John McCuan Contents Course Outline iii Preface (for math teachers) iv Prologue (Lecture 1) vii The Geometric Interpretation viii The Physical Interpretation ix Integration xi Approximation of Functions xiii The Fa
   
• 
  Final D

  Georgia Tech MATH 1502
  

  Math 1502 D, Final Exam December 9th 2008, 1 Name:. Georgia Tech School of Mathematics Math 1502 Calculus II Final Exam : 2 hours & 50 minutes December 9th 2008, Section D First Name : Last Name : Students : please do not write anything in the box below !
   
• 
  Final K

  Georgia Tech MATH 1502
  

  Math 1502 K, Final Exam December 12th 2008, Name:. Georgia Tech 1 School of Mathematics Math 1502 Calculus II Final Exam : 2 hours & 50 minutes December 12th 2008, Section K First Name : Last Name : Students : please do not write anything in the box below
   
• 
  Quiz 12

  Georgia Tech MATH 1502
  

  1 Math 1502 D, November 23th 2009 Georgia Tech School of Mathematics Math 1502 D Calculus II Quiz # 12 November 23th 2009 15 minutes First Name : Last Name : 0 1 1. Compute the determinant of A = 0 0 1 0 1 0 0 1 0 1 0 0 . 1 0 (Give results here and use t
   
• 
  Final Exam (Solutions)

  Georgia Tech MATH 1502
  

  Math 1502 D, Final Exam December 9th 2009, Name:. 1 School of Mathematics Math 1502D Georgia Tech Calculus II Final Exam : Solution December 9th 2009, 1502D A car suspension is represented by a spring attached to the body of the car on one side and on the
   
• 
  Final Exam

  Georgia Tech MATH 1502
  

  Math 1502 D, Final Exam December 9th 2009, 1 Name:. Georgia Tech School of Mathematics Math 1502D Calculus II Final Exam : 2 hours & 50 minutes December 9th 2009, 1502D First Name : Last Name : Students : please do not write anything in the box below ! !
   
• 
  Exam 1 Solutions

  Georgia Tech MATH 1502
  

  Math 1502, Exam 1, September 26, 2012 SOLUTIONS 1. Consider the following linear dierential equation y 8y + 16y = 0 (a) Find the general solution y (x). Solve characteristic equation: r2 8r + 16 = 0. The only root is r = 4, hence, the general solution is
   
• 
  Practice Exam 1A

  Georgia Tech MATH 1502
  

  Test I for Calculus II, Math 1502 G1-G5 , September 14, 2010 Name: Section: Name of TA: This test is to be taken without calculators and notes of any sorts. The allowed time is 50 minutes. Provide exact answers; not decimal approxi mations! For example, i
   
• 
  Practice Exam 1B

  Georgia Tech MATH 1502
  

  Test 2 for Calculus II, Math 1502 G1-G5 , October 5, 2010 Name: Section: Name of TA: This test is to be taken without calculators and notes of any sorts. The allowed time is 50 minutes. Provide exact answers; not decimal approxi mations! For example, if y
   
• 
  Practice Exam 1C

  Georgia Tech MATH 1502
  

  Practice Test 2 for Calculus II, Math 1502, September 29, 2010 Name: Section: Name of TA: This test is to be taken without calculators and notes of any sorts. The allowed time is 50 minutes. Provide exact answers; not decimal approxi mations! For example,
   
• 
  Practice Problem Set 1

  Georgia Tech MATH 1502
  

  Math 1502, Practice Problem Set for Exam 1 1. Given approximations for the values of a function, f (0) 0.41, f (1) 0.24, f (2) 0.15, f (3) 0.13, f (4) 0.16, f (5) 0.22, integrate f (x) numerically on the interval [0, 4] using n = 2 subintervals by (a) tra
   
• 
  Exam 2 Solutions

  Georgia Tech MATH 1502
  

  Math 1502, Exam 2, October 25, 2012 SOLUTIONS 1. For the system of equations x 3y + z = 1 2x 4y + 4z = 15 perform the following steps: (a) Write the augmented matrix of the system. 1 3 1 1 2 4 4 15 (b) Reduce the system to reduced echelon form. 1 3 1 1 1
   
• 
  Practice Problem Set 2

  Georgia Tech MATH 1502
  

  Math 1502, Practice Problem Set for Exam 2 1. Determine whether the given sets of vectors are linearly dependent/independent. 3 2 1 (a) 2 , 5 , 2 1 8 3 2 0 1 0 , 1 , 2 (b) 2 1 1 1 2 3 , , 2 5 2 (c) 2. For every system of equations given below perform
   
• 
  Exam 3 Solutions

  Georgia Tech MATH 1502
  

  Math 1502, Exam 3, November 28, 2012 SOLUTIONS 1 2 0 5a . 1. Let A = 1 0 3 1 a + 1 (a) (15 points) Find the determinant of A. 1 2 0 1 2 1 2 10 5a = 5a + (a + 1) = 25a + 2(a + 1) = 23a + 2 3 1 10 3 1 a + 1 (b) (5 points) For which values of a is the matrix
   
• 
  Practice Exam 3A

  Georgia Tech MATH 1502
  

  Practice Problem for Midterm #3, Math 1502 1. Find and simplify the following determinants: a) -1 0 5 1 -2 -1 3 -1 2 d) 1 0 5 1 2 1 3 1 2 b) 1 b xy a1 2 a 2 1 a 1 2 c) e) -1 3 3 4 0 -2 1 3 0 034 0 003 2. Find the characteristic polynomial, eigenvalues an
   
• 
  Practice Exam 3B

  Georgia Tech MATH 1502
  

  Math 1502 1.a) Consider the matrices Practice Test 4 1 2 i) A = 3 2 0 2 1 1 2 Geronimo 01 1 2 ii) B = 14 21 0 1 20 . A : Rn Rm for what n and m? B : Rn Rm for what n and m? Find AB. Find A 3I where I is the 3 3 identity matrix. b) Consider the matrix 1 1
   
• 
  Practice Problem Set 3

  Georgia Tech MATH 1502
  

  Math 1502, Practice Problem Set for Exam 3 1. Find the inverses of the following matrices if possible: 2a 03 51 1 3 (b) 2 2 xx x 2x (c) 0 0 00 (a) 1 2 1 x x 2 2y x x 0 y 2. Find the determinants of the following matrices. Which matrices are singular? x y
   
• 
  Practice Problem Set for the Final Exam

  Georgia Tech MATH 1502
  

  Math 1502, Practice Problem Set for the Final Exam 1. Whats up with the test? The nal exam will take place in the same room where the lectures were held from 8:00am to 10:50am on Thursday December 13. The test will include 14 problems of which you have to
   
• 
  Math 1502 (Andrew, 2011) Quizzes and Answers

  Georgia Tech MATH 1502
  

  Math 1502 J Spring 2011 Quizzes and Answers Quiz 1. 1 February 2011 1. Use the limit comparison test to determine whether the series k=2 2k + 1 3k 1 converges or whether it diverges. 2. Determine whether the series k=2 2 + sin( k ) converges or diverges.
   
• 
  Math 1502 (Andrew, 2011) Test 1

  Georgia Tech MATH 1502
  

  Name 10 February 2011 Teaching Assistant Math 1502 J Andrew Test 1 Instructions: 1. Closed book. 2. Show your work and explain your answers and reasoning. 3. Calculators may be used, but are by no means necessary. Pay particular attention to instruction 2
   
• 
  Math 1502 (Andrew, 2011) Test 2

  Georgia Tech MATH 1502
  

  Name 17 March 2011 Teaching Assistant Math 1502 J Andrew Test 2 Instructions: 1. Closed book. 2. Show your work and explain your answers and reasoning. 3. Calculators may be used, but are by no means necessary. Pay particular attention to instruction 2. T
   
• 
  Math 1502 (Andrew, 2011) Test 3

  Georgia Tech MATH 1502
  

  Name 21 April 2011 Teaching Assistant Math 1502 J Andrew Test 3 Instructions: 1. Closed book. 2. Show your work and explain your answers and reasoning. 3. Calculators may be used, but are by no means necessary. Pay particular attention to instruction 2. T
   
• 
  Math 1502 (Andrew, 2010) Quizzes and Answers

  Georgia Tech MATH 1502
  

  Math 1502E and J Spring 2010 Quizzes and Answers Quiz 1. 21 January 2010 Section E: Evaluate these limits 1. lim x 1 2 ln(2 x) 2x 1 2. lim x 1 + e2 x x Section J: Evaluate these limits 1. lim x 0 sin( 2 x) x x x+3 1 + e2 x 2. lim x Quiz 2. 2 February 20
   
• 
  Math 1502 (Andrew, 2010) Test 3 E

  Georgia Tech MATH 1502
  

  Name 22 April 2010 Teaching Assistant Math 1502 E Andrew Test 3 Instructions: 1. Closed book. 2. Show your work and explain your answers and reasoning. 3. Calculators may be used, but are by no means necessary. Pay particular attention to instruction 2. T
   
• 
  Math 1502 (Andrew, 2007) Quizzes with Answers

  Georgia Tech MATH 1502
  

  E E F I H H H E E H E H G P E F I H E H E H G P D C B A 3 4 3 7 6 6 35
   
• 
  Quiz 1 D

  Georgia Tech MATH 1502
  

  1 Math 1502 D, September 1st 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 1 September 1st 2010 First Name : Last Name : 1. Compute the following limits (what method are you using ?) x+12 = x3 x3 7x 6 lim cosh (x) 1 = x0
   
• 
  Quiz 1 K

  Georgia Tech MATH 1502
  

  1 Math 1502 K, September 1st 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section K Quiz # 1 September 1st 2010 First Name : Last Name : 1. Compute the following limits (what method are you using ?) x2 + 1 1 = x3 + 3x2 lim x0 1 cos x = x
   
• 
  Quiz 2 D

  Georgia Tech MATH 1502
  

  1 Math 1502 D, September 8th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 2 September 8th 2010 First Name : Last Name : 1. Is the following integral convergent ? (Hint : there are two singularities) 1 dx = x3/4(1 x)1/4 x
   
• 
  Quiz 2 K

  Georgia Tech MATH 1502
  

  1 Math 1502 K, September 8th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section K Quiz # 2 September 8th 2010 First Name : Last Name : 1. Is the following integral convergent ? 0 e4x dx = x2/5 Converges 2 Diverges 2 2. Compute the 57-t
   
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  Quiz 3 D

  Georgia Tech MATH 1502
  

  1 Math 1502 D, September 15th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 3 September 15th 2010 First Name : Last Name : 1. Is the following series convergentS ? (what criterion are you using ?) (k 3 + 1)1/3 (1) 5 (k +
   
• 
  Quiz 3 K

  Georgia Tech MATH 1502
  

  1 Math 1502 K, September 15th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section K Quiz # 3 September 15th 2010 First Name : Last Name : 1. Is the following series convergent or not ? (what criterion are you using ?) (k 3 + 53)2/3 (1)
   
• 
  Test 1 D

  Georgia Tech MATH 1502
  

  1 Math 1502D, September 22nd, 2010 Georgia Tech School of Mathematics Math 1502D Calculus II, Section D Test # 1 September 22nd, 2010 First Name : Last Name : DO NOT WRITE IN THE TABLE BELOW 1a 1b 2a 2b 2c 2d 3 4a 4b 4c 4d 5a 5b 6a 6b Math 1502D, Septembe
   
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  Test 1 K

  Georgia Tech MATH 1502
  

  1 Math 1502K, September 22nd, 2010 Georgia Tech School of Mathematics Math 1502K Calculus II, Section K Test # 1 September 22nd, 2010 First Name : Last Name : DO NOT WRITE IN THE TABLE BELOW 1a 1b 2a 2b 2c 2d 3 4a 4b 4c 4d 5a 5b 6a 6b Math 1502K, Septembe
   
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  Quiz 4 D

  Georgia Tech MATH 1502
  

  1 Math 1502 D, September 29th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 4 September 29th 2010 First Name : Last Name : The goal is to compute numerically the value of the integral I below, using a numerical integratio
   
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  Quiz 4 K

  Georgia Tech MATH 1502
  

  1 Math 1502 K, September 29th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section K Quiz # 4 September 29th 2010 First Name : Last Name : The goal is to compute numerically the value of the integral I below, using a numerical integratio
   
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  Quiz 5 D

  Georgia Tech MATH 1502
  

  1 Math 1502 D, October 5th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 5 October 5th 2010 First Name : Last Name : x 1. Let f ( )= y gf : g f( 1+x2 y 2 x2 +(1+y )2 2xy x2 +(1+y )2 x and let g ( )= y x+y 2 xy 2 . Compute
   
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  Quiz 5 K

  Georgia Tech MATH 1502
  

  1 Math 1502 K, October 5th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section K Quiz # 5 October 5th 2010 First Name : Last Name : 2y (1+x)2 +y 2 1x2 y 2 (1+x)2 +y 2 x 1. Let f ( )= y gf : g f( and let g ( x )= y y . Compute x x )= y 2
   
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  Quiz 6 D

  Georgia Tech MATH 1502
  

  1 Math 1502 D, October 13th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 6 October 13th 2010 First Name : Last Name : 1. For any three numbers a, b, c, let A = a0 cb (a) Compute A2 : A2 = (b) Find all possible values of
   
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  Quiz 6 K

  Georgia Tech MATH 1502
  

  1 Math 1502 K, October 13th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section K Quiz # 6 October 13th 2010 First Name : Last Name : 1. For any three numbers a, b, c, let A = ac 0b (a) Compute A2 : A2 = (b) Find all possible values of
   
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  Quiz 7 D

  Georgia Tech MATH 1502
  

  1 Math 1502 D, October 20th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 7 October 20th 2010 First Name : Last Name : 1. Compute and draw the image of the unit square in R2 under the linear 53 map with matrix A = . 04 2
   
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  Quiz 7 K

  Georgia Tech MATH 1502
  

  1 Math 1502 K, October 20th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section K Quiz # 7 October 20th 2010 First Name : Last Name : 1. Compute and draw the image of the unit square in R2 under the linear 5 3 map with matrix A = . 04 2
   
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  Quiz 8 D

  Georgia Tech MATH 1502
  

  1 Math 1502 D, October 27th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 8 October 27th 2010 First Name : Last Name : 1. Solving a system of linear equations, nd the second column of A1 1 0 1 where A = 0 1 1 1 1 1 Math
   
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  Quiz 8 K

  Georgia Tech MATH 1502
  

  1 Math 1502 K, October 27th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section K Quiz # 8 October 27th 2010 First Name : Last Name : 1. Solving a system of linear equations, nd the second column of A1 111 where A = 1 0 1 011 Math 1502
   
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  Quiz 9 D

  Georgia Tech MATH 1502
  

  1 Math 1502 D, November 3rd 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 9 November 3rd 2010 First Name : Last Name : 1 24 1. (4 pts) For the matrix A = 1 2 1 , nd a permutation P , a 2 1 2 unit lower triangular matrix L
   
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  Quiz 9 K

  Georgia Tech MATH 1502
  

  1 Math 1502 K, November 3rd 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section K Quiz # 9 November 3rd 2010 First Name : Last Name : 124 1. (3 pts) For the matrix A = 2 4 1 , nd a permutation P , a 412 unit lower triangular matrix L an
   
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  Test 2 D

  Georgia Tech MATH 1502
  

  1 Math 1502D, November 8th, 2010 Georgia Tech School of Mathematics Math 1502D Calculus II, Section D Test # 2 November 8th, 2010 First Name : Last Name : DO NOT WRITE IN THE TABLE BELOW 1 2 3 4 5a 5b 5c 5d 5e 6a 6b 6c Math 1502D, November 8th, 2010 2 WAR
   
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  Test 2 K

  Georgia Tech MATH 1502
  

  1 Math 1502K, November 8th, 2010 Georgia Tech School of Mathematics Math 1502K Calculus II, Section k Test # 2 November 8th, 2010 First Name : Last Name : DO NOT WRITE IN THE TABLE BELOW 1 2 3 4 5a 5b 5c 5d 5e 6a 6b 6c Math 1502K, November 8th, 2010 2 WAR
   
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  Quiz 10 D

  Georgia Tech MATH 1502
  

  1 Math 1502 D, November 17th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 10 November 17 2010 First Name : Last Name : 1 2 4 1. Let v1 = 0 , v2 = 2 , v3 = 2 . What is the dimension of 2 3 7 3 the subspace S they span in
   
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  Quiz 10 K

  Georgia Tech MATH 1502
  

  1 Math 1502 K, November 17th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section K Quiz # 10 November 17 2010 First Name : Last Name : 1 1 1 1. Let v1 = 0 , v2 = 1 , v3 = 2 . What is the dimension of 1 0 3 3 the subspace S they span in
   
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  Quiz 11 D

  Georgia Tech MATH 1502
  

  1 Math 1502 D, November 22th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 11 November 22 2010 First Name : Last Name : 1111 All along this quiz A will denote the 34 matrix A = 1 3 4 4 . 1 1 2 2 1. (3 pts) By using the Gr
   
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  Quiz 11 K

  Georgia Tech MATH 1502
  

  1 Math 1502 K, November 22th 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section K Quiz # 11 November 22 2010 First Name : Last Name : 1101 All along this quiz A will denote the 34 matrix A = 1 3 2 1 . 1 1 2 3 1. (3 pts) By using the Gr
   
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  Quiz 12 D

  Georgia Tech MATH 1502
  

  1 Math 1502 D, December 1st, 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 12 December 1st, 2010 First Name : Last Name : 1 All along this quiz A will denote the 4 4 matrix A = 0 0 1. (4 pts) Compute the determinant of A
   
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  Quiz 12 K

  Georgia Tech MATH 1502
  

  1 Math 1502 K, December 1st, 2010 Georgia Tech School of Mathematics Math 1502 Calculus II, Section K Quiz # 12 December 1st, 2010 First Name : Last Name : 1 0 0 1 1 0 Let A denote the 4 4 matrix A = 0 1 1 . 0 0 1 1. (4 pts) Compute the determinant
   
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  Practice Final Exam

  Georgia Tech MATH 1502
  

  Math 1502 Practice Final Exam 1a. Find the eigenvalues and corresponding eigenvectors to the matrix A= 1 6 64 Find A15 (Show all work). Write the quadratic form Q associated with A and plot the curve Q() = 2. x Determine whether Q() = xT Ax is positive de
   
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  Practice Test 2

  Georgia Tech MATH 1502
  

  Math 1502 Practice Test 2 1. Find the interval of convergence of the following series (Show work). xk (a) . k 2k k+1 (b) (x + 3)k k x (c) Find the power series for arctan(u)du. 0 2. Evaluate the improper integral that converge. 1 dx (a) 2 0x x2 ex dx (b)
   
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  Practice Test 3

  Georgia Tech MATH 1502
  

  Math 1502 Practice Test 3 Geronimo 1.a) Let A be a 4 4 matrix and A be a matrix in echelon form obtained from A by row reduction. Show that A is either an upper triangular matrix with nonzero diagonal entires, or the last row must be a row of zeros. b) Co
   
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  Practice Test 5

  Georgia Tech MATH 1502
  

  Math 1502 Practice Test 5 Geronimo 1a. Find the eigenvalues and corresponding eigenvectors to the matrix A= 13 31 b. Find A15 (Show all work). 1 . 2 d. Suppose B is a 4 4 matrix with three distinct eigenvalues. One eigenvalue has geometric multiplicity on
   
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  Practice Exam 4

  Georgia Tech MATH 1502
  

  Practice Exam 4 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1: Is the function 3x2 y 2 x3 +y 6 f (x, y ) = for (x, y ) = (0, 0) for (x, y ) = (0, 0)
   
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  Practice Exam 3

  Georgia Tech MATH 1502
  

  Practice Exam 3 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1: Solve 2x + 4y z = 1 x + 7y + 2z = 4 3x 2y + 3z = 3 Problem 2: Find the inverse of 2 1
   
• 
  Practice Exam 2

  Georgia Tech MATH 1502
  

  Practice Exam 2 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1: Solve the dierential equation dy = ex with y (0) = 10 dx Problem 2: Solve the dierent
   
• 
  Practice Exam 1

  Georgia Tech MATH 1502
  

  Practice Exam 1 - MATH 1502 Use the blue book provided. Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1: Compute the integral 1 dx x2 x + 2 Problem 2: Compute the
   
• 
  Practice Exam 1

  Georgia Tech MATH 1502
  

  Practice Exam 1 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points ): limx0 xln(x+1) 1cos 2x = Problem 2 (points ): limx0 x ln | sin x| = 2 Probl
   
• 
  Practice Exam 2

  Georgia Tech MATH 1502
  

  Practice Exam 2 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Name: Session: Problem 1 (points ): Find the general solution of xy 2y = x. Problem 2 (points ):
   
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  Practice Exam 3

  Georgia Tech MATH 1502
  

  Practice Exam 3 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Name: Session: Problem 1 (points ): What is the angle between the vectors 2 2 and 1 ? 0 2 Proble
   
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  Practice Exam 4 (Solutions)

  Georgia Tech MATH 1502
  

   
   
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  Practice Exam 4

  Georgia Tech MATH 1502
  

  Practice Exam 4 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Name: Session: 112 Problem 1 (points ): Find the least square solution to Ax = b, where A = 1 0
   
• 
  Practice Final

  Georgia Tech MATH 1502
  

  Practice Final - MATH 1502 The nal will be on everything that we learnt during the semester. This practice nal contains only exercises on topics that did not enter in any other exam. You should also use the practice exams 1, 2, 3 and 4 to prepare for the
   
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  Practice Exam 1

  Georgia Tech MATH 1502
  

  Practice Exam 1 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points ): Find the third order Taylor polynomial of sin(x) near /2. Problem 2 (points
   
• 
  Practice Exam 2

  Georgia Tech MATH 1502
  

  Practice Exam 2 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points ): Find the equilibria and their stability of the equation (x + 1)x(x 1). Prob
   
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  Practice Exam 3

  Georgia Tech MATH 1502
  

  Practice Exam 2 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points ): Compute the eigenvalues and eigenvectors of A= 20 12 Problem 2 (points ): C
   
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  Practice Exam 4

  Georgia Tech MATH 1502
  

  Practice Exam 3 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points ): Problems 42, 43 and 44 (page 525 copies). Problem 2 (points ): Problem 7 (p
   
• 
  Practice Exam 1

  Georgia Tech MATH 1502
  

  Practice Exam 1 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points): Solve xy + 2y = xex , y (1) = 1 Problem 2 (points): Solve y = exy , y (1) =
   
• 
  Practice Exam 2

  Georgia Tech MATH 1502
  

  Practice Exam 2 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points): Find the sum of the series 1 (k + 1)(k + 3) k=0 Problem 2 (points): Find the
   
• 
  Practice Exam 3

  Georgia Tech MATH 1502
  

  Practice Exam 3 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points): Solve x2 x3 = 2 2x1 x2 + x3 = 1 x1 2x3 = 2 Problem 2 (points): Solve x1 + 2x
   
• 
  Practice Exam 4

  Georgia Tech MATH 1502
  

  Practice Exam 4 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points): Problem 1 page 100. Problem 2 (points): Problem 31 page 109. Problem 3 (poin
   
• 
  Practice Exam 5

  Georgia Tech MATH 1502
  

  Practice Exam 5 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points): Find the eigenvalues and eigenvectors of 31 13 Problem 2 (points): Find the
   
• 
  Exam 2 (Solutions)

  Georgia Tech MATH 1502
  

   
   
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  Exam 2

  Georgia Tech MATH 1502
  

  Exam 2 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Justify all your answers. Problem 1 (6 points): For which values of x the following series converges 2n (
   
• 
  Exam 3 (Solutions)

  Georgia Tech MATH 1502
  

  Exam 3 Solutions March 13, 2013 Problem 1 Begin by converting the system of equations into a matrix equation. 0x1 + 1x2 1x3 = 1 0 1 1 x1 1 2 1 1 x2 = 1 2x1 x2 + x3 = 1 1 0 3 2 x3 1x1 + 0x2 + 3x3 = 2 Then build the augmented matrix [A b] from the matrix
   
• 
  Exam 3

  Georgia Tech MATH 1502
  

  Practice Exam 3 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (5 points): Solve the linear system x2 x3 = 1 2x1 x2 + x3 = 1 x1 + 3x3 = 2 Problem 2 (
   
• 
  Exam 4 (Solutions)

  Georgia Tech MATH 1502
  

   
   
• 
  Exam 4

  Georgia Tech MATH 1502
  

  Exam 4 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Justify your answers Problem 1 (6 points): Are the following vectors linearly independent? 5 3 1 2 , 1 ,
   
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  Exam 5 (Solutions)

  Georgia Tech MATH 1502
  

   
   
• 
  Exam 5

  Georgia Tech MATH 1502
  

  Exam 5 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Justify your answers Problem 1 (6 points): Find a basis for the null space of 1 0 2 2 1 4 0 1 3 1 7 3 Pro
   
• 
  Practice Exam 1

  Georgia Tech MATH 1502
  

  Practice Exam 1 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points): Use the trapeziodal and Simpson rules with n = 4 to estimate 1 (1 + t2 )dt 1
   
• 
  Practice Exam 2 (Solutions)

  Georgia Tech MATH 1502
  

  Practice Test 2 Solutions February 13, 2013 Problem 10.7.9 modied Please note that I have modied this problem to demonstrate the dierence between the interval of convergence (or conditional convergence) and the interval of absolute convergence. We will nd
   
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  Practice Exam 2

  Georgia Tech MATH 1502
  

  Practice Exam 2 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points): 10.7.9 from T Problem (points): 10.7.29 from T Problem (points): 10.7.43 fro
   
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  Practice Exam 3

  Georgia Tech MATH 1502
  

  Practice Exam 3 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem (points): 1.2.10, 1.2.12 and 1.2.14 from L Problem (points): 1.3.11 from L Problem (poin
   
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  Practice Exam 4 (Solutions 1)

  Georgia Tech MATH 1502
  

   
   
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  Practice Exam 4 (Solutions 2)

  Georgia Tech MATH 1502
  

   
   
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  Practice Exam 4

  Georgia Tech MATH 1502
  

  Practice Exam 4 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problems from sec 1.7: 1 Problems from sec 1.8: 19, 31 Problems from sec 1.9: 2, 6 Problems from
   
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  Practice Exam 5 (Solutions 1)

  Georgia Tech MATH 1502
  

   
   
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  Practice Exam 5 (Solutions 2)

  Georgia Tech MATH 1502
  

   
   
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  Practice Exam 5

  Georgia Tech MATH 1502
  

  Practice Exam 5 - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Justify your answers Problem 1 ( points): 3.1.1 from L Problem 2 ( points): 3.2.21 from L Proble
   
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  Practice Final

  Georgia Tech MATH 1502
  

  Practice Final - MATH 1502 Indicate your name and section. The exam will be closed book, closed notes and no calculators will be allowed. Show all your work. Problem 1 (points): 6.5.1, 6.5.9 L Problem 2 (points): 7.1.1, 7.1.8, 7.1.13 L Problem 3 (points):
   
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  Pretest

  Georgia Tech MATH 1502
  

  Math 1502 Pretest Spring 2013 Name:_ TA or Section Number: Please give your best attempt at answering the following questions. This test is a pretest of material that will be covered during the spring semester, and we would like to see how much of this ma
   
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  Practice Final Exam A (Solutions)

  Georgia Tech MATH 1502
  

  1 Practice Final Exam for Calculus II, Math 1502, December 10, 2010 Name: Section: Name of TA: This test is to be taken without calculators and notes of any sorts. The allowed time is 2 hours and 50 minutes. Provide exact answers; not decimal approximatio
   
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  Practice Final Exam A

  Georgia Tech MATH 1502
  

  1 Practice Final Exam for Calculus II, Math 1502, December 10, 2010 Name: Section: Name of TA: This test is to be taken without calculators and notes of any sorts. The allowed time is 2 hours and 50 minutes. Provide exact answers; not decimal approximatio
   
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  Practice Final Exam B (Solutions)

  Georgia Tech MATH 1502
  

  1 Final Exam for Calculus II, Math 1502, December 15, 2010 Name: Section: Name of TA: This test is to be taken without calculators and notes of any sorts. The allowed time is 2 hours and 50 minutes. Provide exact answers; not decimal approximations! For e
   
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  Practice Final Exam B

  Georgia Tech MATH 1502
  

  1 Final Exam for Calculus II, Math 1502, December 15, 2010 Name: Section: Name of TA: This test is to be taken without calculators and notes of any sorts. The allowed time is 2 hours and 50 minutes. Provide exact answers; not decimal approximations! For e