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by: Daniel Zhang

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# Syllabus , The practice file uploaded Math 1225

Daniel Zhang
Virginia Tech

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COURSE
Calculus of a Single Variable (Math 1225)
PROF.
Rebecca McCarter
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
math1225, Calculus, Danielz8
KARMA
Free

## Popular in Math

This 2 page Class Notes was uploaded by Daniel Zhang on Saturday August 27, 2016. The Class Notes belongs to Math 1225 at Virginia Polytechnic Institute and State University taught by Rebecca McCarter in Fall 2016. Since its upload, it has received 9 views. For similar materials see Calculus of a Single Variable (Math 1225) in Math at Virginia Polytechnic Institute and State University.

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Date Created: 08/27/16
Math412254Syllabus4A4FALL420164 Week Day Section Topic Textbook WebAssign Week41 1 2.1 The'Tangent'and'Velocity'Problems p.'82'#'3a:'ii,iv,vi,viii,b,c #'1,'5,'8 The'Limit'of'a'Function'(limits'using'numerical' 2 2.2 approximations,'graphs,'oneFsided'limits) p.'92'#'1,'3,'11,'15,'16 #'6,'7,'9 p.'94'#'32,'33,'38,'41,'42,'44a,'Find'the' 223 2.2 The'Limit'of'a'Function'(Infinite'Limits,'VA) V.A.'(s)''f(x)'='(x + 5x+6)/(x + 2x-3) #'31,'40 A 4 2.3 Calculating'Limits'Using'the'Limit'Laws'(Limit'p.'102'#'10,'16,'26,'27,'29,'59,'60 #'1,'2,'9,'11,'13,'21 Laws,'Factoring,'Rationalizing) Week42 1 2.3 Calculating'Limits'Using'the'Limit'Laws' p.'103'#'37,'39,'40,'42,'45,'46,'50'and'' #'41,'49,'52 (Absolute'Values,'Sandwich'Theorem) p.170'#3. The'Precise'Definition'of'a'Limit'(Limits'at'Finite'p.'114'#'13a'(using'a'graph'only)'and'' 2 2.4 #'1,'2,'3,'4 Values) Supplementary'Problems'(2.4a) 3 2.4 The'Precise'Definition'of'a'Limit'(Infinite'Limits) Supplementary'Problems'(2.4b) Limit'Simulator g Continuity'(Types'of'Discontinuities,'Left/Right' A p.'124'#'6,'7,'18,'20,'21,'34*,'48 4 2.5 Continuous,'Functions'Continuous'on'Their' *State'discontinuities'only #'3,'33,'43 Domains) Week43 1 Labor'Day Continuity'(Continuous'Extensions,'Continuity' 2 2.5 of'Piecewise'Functions) p.'125'#'23,'24,40,'41,'42,''43,'46 None S 3 2.5 Continuity'(IVT) p.'125'#'52,'53,'56,'57a None p.'137'#'4,'6,'9,'18,'23,'24,'28,'35,'38,'52,' 4 2.6 Limits'at'Infinity;'Horizontal'Asympotes 58,'59,'65a. #'3,'17,'51 Week44 M 2.7 Derivatives'and'Rates'of'Change p.'148'#'5,'11,'13,'17,'21,'22,'34 #'7,'11 p.'162'#'23,'26,'29,'34a,'42,'57,'64'and' Test 1 W 2.8 The'Derivative'as'a'Function'&'Review #'1,'3,'5,'9,'26,'41 p.273'#20. t2 #'4,'11,'19,'23,'37,'46,'47,' S F 3.1 Derivatives'of'Polynomials'and'Exponentials p.'180'#'14,'31,'59,'67,'76 48 Week45 p.'188'#'3,'6,'17,'29,'34,'48.''Find'a' Fx 1 3.2 The'Product'and'Quotient'Rules formula'for'the'nth'derivative'of'f(x)'='e#3,'11,'26,'30,'41,'43,'49 Find'a'formula'for'the'nth'derivative'of'''''''''''''''' Fx f(x)'='xe . 196'#'4,'7,'13,'18,'23,'32,'33'(on'[0,2π]),' 1 2 3.3 Special'Trig'Limits'&'Derivatives'of' 35,'39,'41,'42,'44,'46,'48,'50''''''''''''#5,7,''9,'22,'29,'39,'51 St Trigonometric'Functions and'limxF>0x*cot(5x)'' 3 3.4 The'Chain'Rule p.'204'#'4,'33,'36 #'1,'7,11,'19,'37,'41,'46 4 3.4 The'Chain'Rule p.'205'#'65,'74,'77,'98a,b. #'50,'63,'71 Week46 1 3.5 Implicit'Differentiation p.'215'#'10,'25,'39,'42b,'74a #'5,'11,'15,'23 2 3.5 Implicit'Differentiation'(Inverse'Trig' p.'216'#'57,'58 #'17,'51,'55 Derivatives) F 3 3.6 Derivatives'of'Logarithmic'Functions p.'223'#'30,'34 #'2,'3,'4,'6,'8,'19,'26. S 4'D 3.6 Derivatives'of'Logarithmic'Functions'(Log'Diff) p.'223'#'40,'45,'49,'50,'52 #'43 Week47 Rates'of'Change'in'the'Natural'and'Social' 1 3.7 p.'233'#'6,'10 #'1,'5,'7 Sciences'(Particle'Motion) 2 3.9 Related'Rates p.'249'#'2,'12,'16 #'4,'9,'13 3 3.9 Related'Rates p.'249'#'19,'24,'25,'30 #'20','33 Ot 4 3.10 Linear'Approximations'and'Differentials p.'256'#'2,'10,'23,'28,'32a,'34a,'35,'36,'M1 #'2,'5,'13,'15 Week48 M 4.8 Newton's'Method p.'348'#'3,'5,'11,'16,'M2 #'10,'15 Test 2 W Review tc O F Fall'Break Math412254Syllabus4A4FALL420164 Week49 1 4.1 Maximum'and'Minimum'Values p.'283'#'10,'11,'47,'58 #'5,'31,'37,'44,'48,'53 2 4.2 The'Mean'Value'Theorem p.'291'#'3,'10,'12,'13 #'5,'7,'11 3 4.2 The'Mean'Value'Theorem p.'292'#'19,'21,'26,'27 None 1 O 4 4.3 How'Derivatives'Affect'the'Shape'of'a'Graph' p.'300'#'1ab,'8ab,'9ab,'13ab,'17ab #'5 (1st'Derivative'Test/'Increasing'&'Decreasing) Week410 1 4.3 How'Derivatives'Affect'the'Shape'of'a'Graph' p.'300'#'7,'17c,'23,'24,'26,'33 #'1,'2,'9,'13,'35 (Concavity/POI) p.'321'#12,'14,'48,'y'='(x^2F4)/(x^2'+'4),' 2 4.5 Summary'of'Curve'Sketching None F y'='e^x/(1Fe^x) O 3 Min/Max Supplementary'exercises WebAssign'only'problems. 4 4.7 Optimization'Problems p.'335'#'5,'21,'29 #'3,'7,'13,'23 Week411 1 4.7 Optimization'Problems'&'Review p.'338'#'35,'48,'65 None Test 3 2 4.9 Antiderivatives'(Rules) p.'355'#'2,'5,'8,'11,'16,'17,'20,'22,'46,#'2,'5,'7,'13,'15,'27 v 3 4.9 Antiderivatives'(Differential'Equations) p.'356'#'34,'49,'53,'59,'63 #'30,'37,'39,'65 Oc 4 5.1 Areas'and'Distances p.'375'#'1,'2,'4,'8,'9'(optional),'17 #'13,'15 Week412 p.'377'#'21*,'23*,'25,'26,'27.'(*Use'left' 1 5.1 Areas'and'Distances'(sigma'notation/limits) endpoints) #'22,'24 2 5.2 The'Definite'Integral p.'388'#'5,'11,'12,'17,'21,'22,'29,'M3 #'1,'7,'9,'19 3 5.2 The'Definite'Integral p.'390'#'42,'43,'53,'55,'58 #'34,'35,'37,'39,'47,'49,'52 N 4 5.3 The'Fundamental'Theorem'of'Calculus p.'399'#'7,'13,'18,'19,'25,'31,'35,'37,'3#'3,7,''9,'11,'13,'23,'69 56,'64 Week413 Indefinite'Integrals'and'the'Net'Change' 1 5.4 p.'409'#'16,'29,'33,'36,'37 #'5,'6,'8,'9,'12,'16 Theorem'(Evaluating'integrals) Indefinite'Integrals'and'the'Net'Change' 2 5.4 p.'409'#'44,'46,'47,'53,'64 #'51,'59,'62 F4 Theorem'(Total'Area'and'Applications) N 3 5.5 The'Substitution'Rule p.'418'#''9,'18,'31,'36,'40,'48 #'3,'4,'5,'9,'13,'23,'28 4 Test'3'Day'Off Thanksgiving'break Week414 M 5.5 The'Substitution'Rule p.'419'#'56,'60,'66,'69,'71,'77,'79 #50,'55,'59,'62,'67 Test 4 2 W Review N F Review Week415 1 Review e 2 Review D Final T December41344441:05pmA3:05pm Exam Note:'M1,'M2'and'M3'are'matlab'assignments.

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