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School: CSU Channel Islands
Course: M
HW9 P243: 8, 9, 12, 15, 16; P253: 8, 9, 11 P254: 13; P265: 2, 4, 5, 9 P266: 8, 12, 16, 17 ALEX FLURY batch 1 5.2.8. Suppose f : A B and g : B C . (a). Prove that if g f is onto, then g is onto. Proof. Suppose g f is onto. Suppose c C . Since g f is onto,
School: CSU Channel Islands
Course: Calculus II
Math 150 Exam I Review Study all homework problems and lecture notes! 6.3 Volume by Slicing 6.4 Volume by Shells Know the formulas for the washer and the shell methods. Be able to set up the integrals for some bounded regions. For practice, look at proble
School: CSU Channel Islands
Course: Calculus II
Extra Credits 1. Evaluate the integral ln x x 1 + (ln x)2 dx. 2. Test the series for convergence or divergence n=1 n n+1 n2 . 3. Find the Maclaurin series for the function f (x) = x . 4 + x2 4. Identify the functions represented by the power series (1)k
School: CSU Channel Islands
Course: Calculus II
Math 151 Final Review Review all techniques of integration (chapter 7) and all tests on testing innite series (chapter 8). 9.1 Approximating Functions with Polynomials Let f be an n-times dierentiable function. We can approximate f by an n-th order Taylor
School: CSU Channel Islands
Course: Calculus II
Math 150 Exam I Review Study all homework problems and lecture notes! 6.3 Volume by Slicing 6.4 Volume by Shells Know the formulas for the washer and the shell methods. Be able to set up the integrals for some bounded regions. For practice, look at proble
School: CSU Channel Islands
Course: Calculus II
Math 151 Final Review Review all techniques of integration (chapter 7) and all tests on testing innite series (chapter 8). 9.1 Approximating Functions with Polynomials Let f be an n-times dierentiable function. We can approximate f by an n-th order Taylor
School: CSU Channel Islands
Course: Calculus II
Extra Credits 1. Evaluate the integral ln x x 1 + (ln x)2 dx. 2. Test the series for convergence or divergence n=1 n n+1 n2 . 3. Find the Maclaurin series for the function f (x) = x . 4 + x2 4. Identify the functions represented by the power series (1)k
School: CSU Channel Islands
Course: Calculus I
Name: MATH 150 Sections 1 and 2, Fall 2013 Practice Exam 2 This exam has four parts: True/False, Multiple Choice, Examples, and Short Answer. Please read the specic instructions given for each section. You may not use a calculator or consult books, notes,
School: CSU Channel Islands
Course: Pre-calculus
Math 105 Practice Final 1. Find the difference quotient 2. Name: f ( x +h ) - f ( x ) , h 0 ,of the function f(x) = x2 3x + 2 h Given the following two points: P1 = (-5, 2) and P2 = (1, -2) a) Find the mid point between P1, and P2 b) Find the distance bet
School: CSU Channel Islands
Course: Strategies & Game Design
3 Levels of Rules: Constituative The abstract, core mathematical rules of a game Contain the essential game logic They do not explicitly indicate how players should enact these rules Operational: The "rules of play" that players follow when they are
School: CSU Channel Islands
Course: Calculus I
Name: MATH 150, Fall 2013 Instructor: J. Brown Practice Exam 1 This exam has four parts: True/False, Multiple Choice, Examples, and Short Answer. Please read the specic instructions given for each section. You may not use a calculator, and you may not con
School: CSU Channel Islands
Course: Intermediate Algebra
Math Lab Syllabus Math 94 and Math 95 Lab assistant: Jaimee Morrison Email: jaimee.morrison191@dolphin.csuci.edu Lab assistant: Melinda Sherman Email: melinda.sherman049@dolphin.csuci.edu Lab hours: Monday OH 1964 1:30-3pm OH 1964 6-8pm Tuesday Wedne
School: CSU Channel Islands
Course: M
HW9 P243: 8, 9, 12, 15, 16; P253: 8, 9, 11 P254: 13; P265: 2, 4, 5, 9 P266: 8, 12, 16, 17 ALEX FLURY batch 1 5.2.8. Suppose f : A B and g : B C . (a). Prove that if g f is onto, then g is onto. Proof. Suppose g f is onto. Suppose c C . Since g f is onto,
School: CSU Channel Islands
Course: Calculus II
Math 150 Exam I Review Study all homework problems and lecture notes! 6.3 Volume by Slicing 6.4 Volume by Shells Know the formulas for the washer and the shell methods. Be able to set up the integrals for some bounded regions. For practice, look at proble
School: CSU Channel Islands
Course: Calculus II
Extra Credits 1. Evaluate the integral ln x x 1 + (ln x)2 dx. 2. Test the series for convergence or divergence n=1 n n+1 n2 . 3. Find the Maclaurin series for the function f (x) = x . 4 + x2 4. Identify the functions represented by the power series (1)k
School: CSU Channel Islands
Course: Calculus II
Math 151 Final Review Review all techniques of integration (chapter 7) and all tests on testing innite series (chapter 8). 9.1 Approximating Functions with Polynomials Let f be an n-times dierentiable function. We can approximate f by an n-th order Taylor
School: CSU Channel Islands
Course: Calculus I
Name: MATH 150 Sections 1 and 2, Fall 2013 Practice Exam 2 This exam has four parts: True/False, Multiple Choice, Examples, and Short Answer. Please read the specic instructions given for each section. You may not use a calculator or consult books, notes,
School: CSU Channel Islands
Course: Calculus I
Name: MATH 150, Fall 2013 Instructor: J. Brown Practice Exam 1 This exam has four parts: True/False, Multiple Choice, Examples, and Short Answer. Please read the specic instructions given for each section. You may not use a calculator, and you may not con
School: CSU Channel Islands
Course: Pre-calculus
Math 105 Practice Final 1. Find the difference quotient 2. Name: f ( x +h ) - f ( x ) , h 0 ,of the function f(x) = x2 3x + 2 h Given the following two points: P1 = (-5, 2) and P2 = (1, -2) a) Find the mid point between P1, and P2 b) Find the distance bet
School: CSU Channel Islands
Course: M
HW6 P143: 2, 7, 8, 10, 14; 6, 7 P133: 6, 7, 10, 22; P161: 9; 6 P170: 4, 5, 6, 9 ALEX FLURY batch 1 3.5.2. Suppose A, B , and C are sets. Prove that A (B C ) (A B ) C . Proof. Let A, B , and C be sets, and let x be an arbitrary element of A (B C ). Then ei
School: CSU Channel Islands
Course: M
Homework Set 3 Solutions Kyle Chapman January 27, 2013 72.2 a It is not true that there is someone in the freshmen class who doesnt have a roomate. Everyone in the freshmen class has a roomate. b It is not true that both everyone likes someone and noone l
School: CSU Channel Islands
Course: M
P25: 10, 12, 13, 18; P33: 3, 4; P42: 2 P42: 4, 5, 8, 9; P53: 2, 4, 6 P54: 5, 10; P63: 2, 3, 5, 7 batch 1 1.2.10. Use truth tables to check these laws. (a). The second DeMorgans law. P F F T T T T T F Q F T F T (P F F T T Q) FF FT FF TT T T F F P F F T T
School: CSU Channel Islands
Course: M
P13: 2, 3, 4, 6, 7 P24: 2, 4, 5, 6, 8 batch 1 1.1.2. Analyze the logical forms of the following statements. (a). Either John and Bill are both telling the truth, or neither of them is. P = John is telling the truth. Q = Bill is telling the truth. (P Q) (P
School: CSU Channel Islands
Course: M
Homework Set 7 Solutions Kyle Chapman March 5, 2013 178.2 a The domain of this function is the set of people who are brothers. The range is the set of people who have brothers. b To nd the domain, we allow y to be any real value, and so y 2 can be any non
School: CSU Channel Islands
Course: M
Homework Set 4 Solutions Kyle Chapman February 6, 2013 93.1 a The hypothesis is that n is an integer larger than one and that n is not prime. The conclusion is that 2n 1 is not prime. The hypotesis is satised for n = 6 since 6 is greater than one and not
School: CSU Channel Islands
Course: M
HW5 P122: 2, 4, 8 4, 5 P122: 18, 20, 21, 23 ALEX FLURY batch 1 3.3.2. Prove that if A and B \ C are disjoint, then A B C . Proof. Suppose A and B \ C are disjoint, and let x be an arbitrary element of A B . Since x A, therefore x B \ C . This means either
School: CSU Channel Islands
Course: M
Homework Set 8 Solutions Dai Kyle Chapman March 11, 2013 223.4 a Not an equivalence relation because (1, 0) R but (0, 1) R. / b This is an equivalence relation. The equivalence classes are of the form x + Q for each real number x. c This is an equivalence
School: CSU Channel Islands
Course: M
Page 296: 3a:proof: Contradiction. Suppose 6 is a rational number. This means that there exist q Z + and q Z + such that p = 6. So the set S = cfw_q Z + |( p = q q 6) is nonempty. By the well ordering principle we can let q be the smallest element 2 of S
School: CSU Channel Islands
Discrete Mathematics Math 6A Homework 2 1.4-16 A discrete mathematics class contains a mathematics major who is a freshman, 21 mathematics majors who are sophomores, 15 computer science majors who are sophomores, 2 mathematics majors who are juniors
School: CSU Channel Islands
Course: Intermediate Algebra
Math 95 Week 9 1. The most important aspect of you learning math is _. A bartender is expecting 300 people at a party where 1/4 of them have already paid for 3 Coronas each. If each Corona is served with 1/8 of a lime, how many limes will he need?
School: CSU Channel Islands
Course: Intermediate Algebra
Math Lab Syllabus Math 94 and Math 95 Lab assistant: Jaimee Morrison Email: jaimee.morrison191@dolphin.csuci.edu Lab assistant: Melinda Sherman Email: melinda.sherman049@dolphin.csuci.edu Lab hours: Monday OH 1964 1:30-3pm OH 1964 6-8pm Tuesday Wedne
School: CSU Channel Islands
Course: Strategies & Game Design
3 Levels of Rules: Constituative The abstract, core mathematical rules of a game Contain the essential game logic They do not explicitly indicate how players should enact these rules Operational: The "rules of play" that players follow when they are
School: CSU Channel Islands
Course: Strategies & Game Design
Questions for Students What do you think the drug policy should be like on campus? What do you think the drug policy should be like in housing? Especially when compared to other schools, do you think there should be warnings or "strikes" given in hou
School: CSU Channel Islands
Course: Calculus II
Math 150 Exam I Review Study all homework problems and lecture notes! 6.3 Volume by Slicing 6.4 Volume by Shells Know the formulas for the washer and the shell methods. Be able to set up the integrals for some bounded regions. For practice, look at proble
School: CSU Channel Islands
Course: Calculus II
Math 151 Final Review Review all techniques of integration (chapter 7) and all tests on testing innite series (chapter 8). 9.1 Approximating Functions with Polynomials Let f be an n-times dierentiable function. We can approximate f by an n-th order Taylor
School: CSU Channel Islands
Course: Calculus II
Extra Credits 1. Evaluate the integral ln x x 1 + (ln x)2 dx. 2. Test the series for convergence or divergence n=1 n n+1 n2 . 3. Find the Maclaurin series for the function f (x) = x . 4 + x2 4. Identify the functions represented by the power series (1)k
School: CSU Channel Islands
Course: Calculus I
Name: MATH 150 Sections 1 and 2, Fall 2013 Practice Exam 2 This exam has four parts: True/False, Multiple Choice, Examples, and Short Answer. Please read the specic instructions given for each section. You may not use a calculator or consult books, notes,
School: CSU Channel Islands
Course: Pre-calculus
Math 105 Practice Final 1. Find the difference quotient 2. Name: f ( x +h ) - f ( x ) , h 0 ,of the function f(x) = x2 3x + 2 h Given the following two points: P1 = (-5, 2) and P2 = (1, -2) a) Find the mid point between P1, and P2 b) Find the distance bet
School: CSU Channel Islands
Course: Strategies & Game Design
3 Levels of Rules: Constituative The abstract, core mathematical rules of a game Contain the essential game logic They do not explicitly indicate how players should enact these rules Operational: The "rules of play" that players follow when they are
School: CSU Channel Islands
Discrete Mathematics Math 6A Homework 2 1.4-16 A discrete mathematics class contains a mathematics major who is a freshman, 21 mathematics majors who are sophomores, 15 computer science majors who are sophomores, 2 mathematics majors who are juniors
School: CSU Channel Islands
Course: Calculus I
Name: MATH 150, Fall 2013 Instructor: J. Brown Practice Exam 1 This exam has four parts: True/False, Multiple Choice, Examples, and Short Answer. Please read the specic instructions given for each section. You may not use a calculator, and you may not con
School: CSU Channel Islands
Course: Intermediate Algebra
Math Lab Syllabus Math 94 and Math 95 Lab assistant: Jaimee Morrison Email: jaimee.morrison191@dolphin.csuci.edu Lab assistant: Melinda Sherman Email: melinda.sherman049@dolphin.csuci.edu Lab hours: Monday OH 1964 1:30-3pm OH 1964 6-8pm Tuesday Wedne