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Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6310 Synthse organique Jeudi le 30 Avril 1998 NOM DU PROFESSEUR: A. CHARETTE SALLE: HEURE: D-560 13h30-16h30ATTENTION:-Les notes de cou
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse organique Vendredi le 23 Avril 1999 NOM DU PROFESSEUR: A. CHARETTE SALLE: HEURE: G-815 9h00-12h00ATTENTION:-Les notes de c
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse organique Lundi 1 Mai 2000 NOM DU PROFESSEUR: A. CHARETTE SALLE: HEURE: G-715 13h30-17h00ATTENTION:-Les notes de cours et
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective Lundi 28 Avril 2003 PROFESSEUR: SALLE: HEURE: A. CHARETTE Z-210 9h00-12h00ATTENTION:-Les notes de cours et le
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective Mardi 27 Avril 2004 PROFESSEUR: SALLE: HEURE: A. CHARETTE Z-210 14h30-17h30ATTENTION:-Les notes de cours et l
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective Mercredi 27 avril 2005 PROFESSEUR: SALLE: HEURE: A. CHARETTE G-1015 14 h 00-17 h 00ATTENTION:-Les notes de co
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective jeudi 27 avril 2006 PROFESSEUR: SALLE: HEURE: A. CHARETTE D-225 09h00-12h00ATTENTION:-Les notes de cours et l
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective Mardi 24 Avril 2007 PROFESSEUR: SALLE: HEURE: A. CHARETTE D-225 9h00-12h00ATTENTION:-Les notes de cours et le
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective Lundi 27 Avril 2009 PROFESSEUR: SALLE: HEURE: A. CHARETTE G-835 8h30-11h30ATTENTION:-Documentation permise re
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6310 Synthse stroslective Vendredi le 14 Mars 1997 NOM DU PROFESSEUR: A. CHARETTE SALLE: HEURE: Z-225 9h30-12h30ATTENTION:-Les notes de
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6310 Synthse stroslective Vendredi le 27 Fvrier 1998 NOM DU PROFESSEUR: A. CHARETTE SALLE: HEURE: D-560 10h30-13h30ATTENTION:-Les notes
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 NOM DU PROFESSEUR: A. CHARETTE Synthse stroslective SALLE: G-835 Vendredi le 26 Fvrier 1999 HEURE: 8h30-10h30ATTENTION:-Les notes
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 NOM DU PROFESSEUR: A. CHARETTE Synthse stroslective SALLE: D-560 Vendredi le 10 Mars 2000 HEURE: 14h00-17h00ATTENTION:-Les notes d
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 NOM DU PROFESSEUR: A. CHARETTE Synthse stroslective SALLE: G-815 Vendredi le 30 Mars 2001 HEURE: 2 - 5 pmATTENTION:-Les notes de c
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 NOM DU PROFESSEUR: A. CHARETTE Synthse stroslective SALLE: G-835 Vendredi le 28 Fvrier 2003 HEURE: 9h - 12hATTENTION:-Les modles m
Neumont - CHM - 6315
FACULT DES ARTS ET DES SCIENCES DPARTEMENT DE CHIMIESIGLE DU COURS: CHM 6315 TITRE DU COURS: Synthse stroslective DATE DE L'EXAMEN: Mardi, le 2 mars 2004 NOM DU PROFESSEUR: Andr Charette SALLE: Z-315 HEURE: De 14 h 30 17 h 30** ATTENTION: Seuls
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective Mardi le 1er Mars 2005 NOM DU PROFESSEUR: SALLE: HEURE: A. CHARETTE G-415 13h00-16h00ATTENTION: Les notes de cour
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective Mardi 28 fvrier 2006 NOM DU PROFESSEUR: SALLE: Z-220 HEURE: 9h - 12h A. CHARETTEATTENTION:-Les modles molcula
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective Mardi 20 fvrier 2007 NOM DU PROFESSEUR: SALLE: Z-317 HEURE: 9h - 12h A. CHARETTEATTENTION:-Les modles molcula
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective Jeudi 21 fvrier 2008 NOM DU PROFESSEUR: SALLE: Z-305 HEURE: 9h - 12h A. CHARETTEATTENTION:-Les notes de cours
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 NOM DU PROFESSEUR: A. CHARETTE Synthse stroslective SALLE: G-815 Vendredi le 28 Fvrier 2003 HEURE: 9h - 12hATTENTION:-Les modles m
Neumont - CHM - 6315
FACULT DES ARTS ET DES SCIENCES DPARTEMENT DE CHIMIESIGLE DU COURS: CHM 6315 TITRE DU COURS: Synthse stroslective DATE DE L'EXAMEN: Mardi, le 2 mars 2004 NOM DU PROFESSEUR: Andr Charette SALLE: Z-315 HEURE: De 14 h 30 17 h 30** ATTENTION: Seuls
Neumont - CHM - 6315
Question 1 TMSCl, Et3N LiHMDS, CH2Cl2, -78 C, 30 minRL Me Me ATBSOO H Me TBSO OH O OTBS RLOOTBSBF3OEt2, -78 C 30 min, 85%MeMeMei-Pr TBSOO H H H Me Me OTBS RL Li TMS O OTBS RL Me3Si H H H RLH MeFelkin-Anh TS (6 pts)O BF3i-Pr
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective Mardi 28 fvrier 2006 NOM DU PROFESSEUR: SALLE: Z-220 HEURE: 9h - 12h A. CHARETTE* SOLUTIONS * QUESTION 1 (20 poin
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective Mardi 20 fvrier 2007 NOM DU PROFESSEUR: SALLE: Z-317 HEURE: 9h - 12h A. CHARETTEATTENTION:-Les modles molcula
Neumont - CHM - 6315
FACULT des ARTS et des SCIENCES - DPARTEMENT de CHIMIESIGLE du COURS: TITRE du COURS: DATE de L'EXAMEN: CHM 6315 Synthse stroslective Jeudi 21 fvrier 2008 NOM DU PROFESSEUR: SALLE: Z-305 HEURE: 9h - 12h A. CHARETTEATTENTION:-Les notes de cours
Ohio State - MATH - 153
MATH 153 - AUTUMN QUARTER, TWO THOUSAND AND TWO TEACHING ASSISTANT: Cosmin ROMAN office: Math Tower 529 office phone: 292-1923 e-mail: cosmin@math.ohio-state.edu webpage: http:/www.math.ohio-state.edu/~cosmin/Math153.html Note: mind the capital "
Ohio State - MATH - 254
CALCULUS WITH ANALYTIC GEOMETRY - MATH 254 - SP QT 2004LECTURER: Cosmin ROMAN office: Math Tower 529 office phone: 292-1923 e-mail: cosmin@math.ohio-state.edu OFFICE HOURS: T,R 6:00pm-7:25pm; F 10:30am-12:00 (also by appointment) TEXT: Calculu
Ohio State - MATH - 150
MATH 150AUTUMN 2001TA: Cosmin ROMAN office: Math Tower (MW) 529 phone: 292-1923 e-mail: cosmin@math.ohio-state.edu webpage: http:/www.math.ohio-state.edu/~cosmin/Math150.html Office Hours: Tuesday 9:30-11:30 AM; Wednesday 8:00-9:15 AM; by appo
Ohio State - MATH - 150
SOLUTIONS SAMPLE MIDTERM 2 AUTUMN 2000 AND SPRING 2001MATH 150 AU01Comment: no number computation is presented, but rather the method used . AU 2000 1. (1) false: log(4x3 ) = log(4) + log(x3 ) = log(4) + 3 log(x) (2) false: 2x = eln(2)x (3) false:
Ohio State - MATH - 150
Math 150Final ExamSample Exams QuestionsSp 20011. Let g ( x ) = 7 x - 2 and f (x ) = x 2 - 3 . f ( x) a) Find the domain of . g(x) b) Find f (4) - g (4 ) . c) Find a formula for ( f o g )( x) . d) Find a formula for g -1 . 2. Factor the polyno
Ohio State - MATH - 150
SAMPLE EXAM SOLUTIONSCOSMIN ROMAN1. autumn 20003 2 f (x) g(x)(1) (a) g(x) = 0 2x - 3 = 0 x =3 2so the domain ofis all real numbers except(b) f (4) - g(4) = (42 + 4) - (2 4 - 3) = 20 - 5 = 15 (c) (f g)(x) = f (g(x) = f (2x-3) = (2x-3)2
Ohio State - MATH - 150
POLAR COORDINATES - INTERESTING GRAPHSCOSMIN ROMANStart with graphs of functions of the form r = sin(k x), where k = 1, 2, 3 etc (keep in mind that the corresponding graphs for cosine are the very same ones, only rotated 90 degrees counterclockwi
Ohio State - MATH - 150
POLAR COORDINATES - INTERESTING GRAPHS, PART 2COSMIN ROMANHere we have graphs of the form r = a + b sin(). The important (and interesting) issue here is not how big a and b are, but rather how big they are with respect to each other. The first thr
Ohio State - MATH - 132
MATH 132WINTER 2001TA: Cosmin ROMAN office: Math Tower (MW) 529 phone: 292-1923 e-mail: cosmin@math.ohio-state.edu webpage: http:/www.math.ohio-state.edu/ cosmin/Math132.html Office Hours: MW 9:30-10:20; T 11:30-12:20 Homework Turn-in Schedule
Ohio State - MATH - 132
QUIZ # 1MATH 132 WI01Name (1p): . Problem: Let f be the following function: f (x) = Compute the following limits: a) (6p)x0 x+x2 -x-x2 -x-x2 x+x2if x > 0 if x < 0lim f (x)Answer: because of multiple definitions, we need to compute partial l
Ohio State - MATH - 132
QUIZ # 2MATH 132 WI01Name (1p): . Problem (9p): Find the equation of the tangent line to the following curve at the given point. f (x) = x x+1(-2, 2) Answer: we need the slope - and we'll use definition this time: f (-2 + h) - f (-2) lim = lim h
Ohio State - MATH - 132
QUIZ # 3MATH 132 WI01Name (1p): . Problem: Differentiate the following functions: (a) f (x) = ln(x - 1)(x + 1)(x + 3)(x + 5) 2 (b) g(x) = ln(ex ) (3 points) 2 (c) h(x) = ex +x+1 (3 points)(3 points)Answer: (a) Use natural logarithm's propertie
Ohio State - MATH - 132
QUIZ # 4MATH 132 WI01Name (1 point): . Problem: Let f (x) = xe ex . (a) Find intervals of increase/decrease of f (b) Find relative extrema (3 points) (3 points)(c) Find y-intercept, and sketch the graph (you can use straight lines to connect poi
Ohio State - MATH - 132
QUIZ # 5MATH 132 WI01Name (1 point): . Problem: Compute the ones from the following integrals that can be computed (and point out which one cannot): (a) (x4 + 3x2 + 1)(4x3 + 6x) dx (b) (c)1 x2 +12(3 points) (3 points) (3 points) 2x dxex dx
Ohio State - MATH - 132
QUIZ # 6 - OR - LAST QUIZ - OR - FINALLY, IT'S OVER! OR - . WHAT DID I DO TO DESERVE THIS? .MATH 132 WI01Name (1 point): . Problem: Compute the following (1) the definite integralln 3e3x dxln 2(2) the definite integral 1 2x dx x2 + 1 0 (3)
Ohio State - MATH - 132
SAMPLE PROBLEMS MIDTERM IMATH 132 WI01I. Compute the following limits (if the limit is + or - or DNE, state whether it is + or - or DNE; leave the answer in fractions) 4 - x2 x2 x2 - x - 2 lim x2 + 6x + 9 x (7x - 5)2 lim lim x-3(a)(b)(c)x
Ohio State - MATH - 132
SOLUTIONS SHEET FOR SAMPLE PROBLEMS MIDTERM IMATH 132 WI01I. Compute the following limits (if the limit is + or - or DNE, state whether it is + or - or DNE; leave the answer in fractions) 4 - x2 x2 x2 - x - 2 lim Answer: - 4 3 x2 + 6x + 9 x (7x -
Ohio State - MATH - 132
MIDTERM I, FORM AMATH 132 WI00I. Compute the following limits (if the limit is + or - or DNE, state whether it is + or - or DNE; leave the answer in fractions)(a)t2lim3t2 + 1(6 points)(b)4 - x2 x2 x2 - 5x + 6 lim(6 points)(c)
Ohio State - MATH - 132
MIDTERM II, FORM AMATH 132 WI00I. Find the derivatives of the following functions. (a) y = ln(2x + 1) (5 points)(b)y = ln( 41+x2 ) 1-x2(10 points)(c)y = e5x2 -11x+12(10 points)II.(x3 -1 x4+ 2) dx(10 points)III. Given y
Ohio State - MATH - 132
MIDTERM IIIMATH 132 WINTER 2000I. Evaluate the following integralsa)x(7x2 + 2)4 dx(10p)b)x2 + 6x + 3 dx x(10p)Date: 03/03/2000.12MATH 132 WINTER 20006c)0100 + 6x2 dx(10p)d)ex dx ex + 5(10p)(at this point have th
Ohio State - MATH - 132
MIDTERM IIIMATH 132 WINTER 2000I. Evaluate the following integrals a) x(7x2 + 2)4 dx (10p)1 14use substitution: u = 7x2 + 2) du = 7 2x dx = 14x dx The integral then becomes: u4 1 1 du = 14 14 u4 du =du = x dx.1 u5 (7x2 + 2)5 +C = +C 14 5
Ohio State - MATH - 132
FINAL EXAMMATH 132 WINTER 20001. Compute the following limits (leave the answers in fractions) (a) x2 - 4x + 4 x2 x2 + x - 6 lim (8 points)(b)x2 - 9x + 3 x- x - 3 - 72 lim(8 points)2. Find the derivatives of the following function (do not
Ohio State - MATH - 132
FINAL EXAMMATH 132 WINTER 20001. Compute the following limits (leave the answers in fractions) (a) x2 - 4x + 4 x2 x2 + x - 6 lim (8 points)Proof. plug in x = 2 . we get 0 ! so we need to simplify it first: 0 x2 - 4x + 4 (x - 2)(x - 2) x-2 = = 2+
Ohio State - MATH - 415
MIDTERMS' ANSWERSCOSMIN S. ROMANMidterm 2 1. (a) the equation giving the r is: r2 - 4r + 4 = 0 Double solution - r = 2. y = C1 e2t + C2 te2t (b) the equation is now: r2 - 4r + 13 = 0 Complex roots: r = 2 3i y = C1 e2t cos(3t) + C2 e2t sin(3t)
Ohio State - MATH - 131
MATHEMATICAL ANALYSIS FOR BUSINESS II(MATH 131) WINTER QUARTER, 2003Lecturer: Cosmin ROMAN office: Math Tower (MW) 529 office phone: 292-1923 e-mail: cosmin@math.ohio-state.edu web: http:/www.math.ohio-state.edu/~cosmin/Math131.html Office Ho
Ohio State - MATH - 131
REVIEW PROBLEMS - SOLUTIONSREAD THIS NOTE: I will be using parenthesis "(", ")" and brackets "[", "]" interchangeably (when there are too many parenthesis involved, I will put brackets to clear the situation a bit out, so you can see where one begi
Ohio State - MATH - 131
REVIEW PROBLEMS (PINK SHEET LIST) - SOLUTIONS MIDTERM 3READ THIS NOTE: I will be using parenthesis "(", ")" and brackets "[", "]" interchangeably (when there are too many parenthesis involved, I will put brackets to clear the situation a bit out, s
Ohio State - MATH - 131
THINGS TO KNOWThis list comes as a completion of the list I designed for the second midterm. Again, it's not exhaustive, and contains a bare minimum. Notations: x, y stand for variables and/or functions; f , g, h stand for functions; n stands for c
Ohio State - MATH - 131
SAMPLE MIDTERM 1 - PROBLEMSREAD THIS NOTE: I will be using parenthesis "(", ")" and brackets "[", "]" interchangeably (when there are too many parenthesis involved, I will put brackets to clear the situation a bit out, so you can see where one begi
Ohio State - MATH - 131
SAMPLE MIDTERM 1 - SOLUTIONSREAD THIS NOTE: I will be using parenthesis "(", ")" and brackets "[", "]" interchangeably (when there are too many parenthesis involved, I will put brackets to clear the situation a bit out, so you can see where one beg
Ohio State - MATH - 131
REVIEW PROBLEMS - SOLUTIONSREAD THIS NOTE: I will be using parenthesis "(", ")" and brackets "[", "]" interchangeably (when there are too many parenthesis involved, I will put brackets to clear the situation a bit out, so you can see where one begi
Ohio State - MATH - 131
REVIEW PROBLEMS - SOLUTIONSREAD THIS NOTE: I will be using parenthesis "(", ")" and brackets "[", "]" interchangeably (when there are too many parenthesis involved, I will put brackets to clear the situation a bit out, so you can see where one begi
Ohio State - MATH - 131
SAMPLE - MIDTERM 3READ THIS NOTE: I will be using parenthesis "(", ")" and brackets "[", "]" interchangeably (when there are too many parenthesis involved, I will put brackets to clear the situation a bit out, so you can see where one begins and wh
Ohio State - MATH - 131
SAMPLE MIDTERM 3 - SOLUTIONSREAD THIS NOTE: I will be using parenthesis "(", ")" and brackets "[", "]" interchangeably (when there are too many parenthesis involved, I will put brackets to clear the situation a bit out, so you can see where one beg
Ohio State - MATH - 131
SAMPLE FINAL EXAM - PROBLEMSREAD THIS NOTE: I will be using parenthesis "(", ")" and brackets "[", "]" interchangeably (when there are too many parenthesis involved, I will put brackets to clear the situation a bit out, so you can see where one beg