Verified Documents at McMaster University

Browse the full collection of course materials, past exams, study guides and class notes for MATH 1ZA3 - Engineering Mathematics I at McMaster University verified by our community.
PROFESSORS
All Professors
All semesters
Aaron Childs
fall
82
Chris McLean
fall
34

Verified Documents for Aaron Childs

Class Notes

Taken by our most diligent verified note takers in class covering the entire semester.
MATH 1ZA3 Lecture 1: 1
116
MATH 1ZA3 Lecture 1: MATH 1ZA3 lecture 1 - Appendix D (trigonometry)
227
MATH 1ZA3 Lecture 1: Intrduction and Review
3152
MATH 1ZA3 Lecture 2: MATH 1ZA3 lecture 2 - Appendix D (trigonometry), 1.5 (inverse functions and logarithms)
212
MATH 1ZA3 Lecture 2: Inverse Functions
2154
MATH 1ZA3 Lecture 3: 3LEC1ZA3pg3
123
MATH 1ZA3 Lecture 3: Logarithmic and Inverse Trig Functions
4152
MATH 1ZA3 Lecture 3: MATH 1ZA3 lecture 3 - Inverse functions
424
MATH 1ZA3 Lecture 3: 3LEC1ZA3pg4
122
MATH 1ZA3 Lecture 3: 3LEC1ZA3
133
MATH 1ZA3 Lecture 3: 3LEC1ZA3pg2
125
MATH 1ZA3 Lecture 4: Continuity
3113
MATH 1ZA3 Lecture 4: MATH 1ZA3 lecture 4 - 1.5 (inverse trig functions), 2.5 (continuity)
445
MATH 1ZA3 Lecture Notes - Lecture 5: Jtl
324
MATH 1ZA3 Lecture Notes - Lecture 5: Intermediate Value Theorem
Let the point w" be between f(a) and f(b), then, there is a point c" between, but not including, a" and b" such that f(c) = w. https://www. mathsisfun.
3130
MATH 1ZA3 Lecture Notes - Fall 2018 Lecture 6 - The Tangent, The Tangent
X1 a a x4 x3 x2 x1 http://www. columbia. edu/itc/sipa/math/expon_funct. html. The tangent line to y = f(x) at p(a, f(a)) is the line through p with the
3222
MATH 1ZA3 Lecture 6: 6LEC1ZA3pg2
120
MATH 1ZA3 Lecture 6: 6LEC1ZA3
125
MATH 1ZA3 Lecture 6: MATH 1ZA3 LECTURE 6 - derivatives (2.7, 2.8)
315
MATH 1ZA3 Lecture 7: 7LEC1ZA3pg2
133
MATH 1ZA3 Lecture 7: 7LEC1ZA3
119
MATH 1ZA3 Lecture 7: Math1ZA3-Lecture7-DerivativeAsAFunction
268
MATH 1ZA3 Lecture 7: derivatives, differentiation rules
J q ,, \"b le0\vrt t- t i. _. f ;:s j;uuevih0ab le @ x::" ;r f"(~") p-,(,sh. : f ,s j. ;~~e,y,h(;\ ble on (o-, 6) ;p f , s cl,{ fert,,yi ~bu q e,,. v,
417
MATH 1ZA3 Lecture 7: 7LEC1ZA3pg3
128
MATH 1ZA3 Lecture 8: 8LEC1ZA3
119
MATH 1ZA3 Lecture 8: 8LEC1ZA3pg2
118
MATH 1ZA3 Lecture 8: 3.3 - derivatives of trig functions, 4.8 - newton's method
315
MATH 1ZA3 Lecture 8: Math1ZA3-Lecture8-DifferentiationRules
265
MATH 1ZA3 Lecture 9: Derivatives of Functions
253
MATH 1ZA3 Lecture 9: 3.4 - chain rule, 3.5 - implicit differentiation, derivatives of inverse trig functions
444
MATH 1ZA3 Lecture 9: 9LEC1ZA3
129
MATH 1ZA3 Lecture 9: 9LEC1ZA3pg2
123
MATH 1ZA3 Lecture 9: 9LEC1ZA3pg3
121
MATH 1ZA3 Lecture 10: Derivative of f inverse, 3.6 - Derivatives of Log Functions, Logarithmic Differentiation, 3.11 - Hyperbolic Functions
830
MATH 1ZA3 Lecture 10: Newton's Method
251
MATH 1ZA3 Lecture 10: 10LEC1ZA3
124
MATH 1ZA3 Lecture 10: 10LEC1ZA3pg3
114
MATH 1ZA3 Lecture 10: Math 1ZA3 Derivatives of Trig and Inverse Functions-Lecture 10
433
MATH 1ZA3 Lecture 10: 10LEC1ZA3pg2
137
MATH 1ZA3 Lecture Notes - Lecture 11: Intelligence Quotient
341
MATH 1ZA3 Lecture 11: MinAndMaxValues
136
MATH 1ZA3 Lecture 11: The Chain Rule
250
MATH 1ZA3 Lecture 11: FermatsTheorem
133
MATH 1ZA3 Lecture 12: MeanValueTheorem3
114
MATH 1ZA3 Lecture 12: Implicit Differentiation
486
MATH 1ZA3 Lecture 12: Closed Interval Method, 4.2 - Mean Value Theorum (Rolle's Theorum)
326
MATH 1ZA3 Lecture 12: MeanValueTheorem1
116
MATH 1ZA3 Lecture 12: MeanValueTheorem2
127
MATH 1ZA3 Lecture 13: CurveSketching3
19
MATH 1ZA3 Lecture 13: CurveSketching
114
MATH 1ZA3 Lecture 13: Mean Value Theorum, 4.3 - How Derivatives Affect the Shape of a Graph
I l j n?fin \jo. 0e- krvw1 (mvt~ ___ _ - -~"- _f y: ~ ~ 1 ~"" _j {2o lt e"} ti#,vw"\ ___ _ - - - flt>) - - - )~f; - f (b) - f(c. ) - - - - - 71 b-0i
381
MATH 1ZA3 Lecture 13: CurveSketching2
110
MATH 1ZA3 Lecture 13: Derivatives of Log Functions
359
MATH 1ZA3 Lecture 13: 4.3 - Curve Sketching
332
MATH 1ZA3 Lecture 14: L'Hopital'sRule2
17
MATH 1ZA3 Lecture 14: L'Hopital'sRule
19
MATH 1ZA3 Lecture 14: Hyperbolic Functions
3115
MATH 1ZA3 Lecture 15: L'Hopital'sRule3
113
MATH 1ZA3 Lecture 15: Minimum and Maximum Values
5107
MATH 1ZA3 Lecture 15: SummaryCurveSketching
115
MATH 1ZA3 Lecture 16: 4.4 - L'Hopital's Rule
234
MATH 1ZA3 Lecture 19: Mean Value Theorem
558
MATH 1ZA3 Lecture 20: How Derivatives Affect Slope Of Graph
590
MATH 1ZA3 Lecture 21: L'Hopital's Rule
476
MATH 1ZA3 Lecture 22: Summary of Curve Sketching
495
MATH 1ZA3 Lecture 23: Continuation of Curve Sketching
366
MATH 1ZA3 Lecture 24: Optimization Problems
4141
MATH 1ZA3 Lecture 25: Antiderivates
3106
MATH 1ZA3 Lecture 26: Sigma Notation
4134
MATH 1ZA3 Lecture 27: Areas and Distances
4128
MATH 1ZA3 Lecture 28: The Definite Integral
491
MATH 1ZA3 Lecture 29: Fundamental Theorem of Calculus
493
MATH 1ZA3 Lecture 30: The Substitution Rule
472
MATH 1ZA3 Lecture 31: MATH 1ZA3 Lecture : Areas Between Curves
369
MATH 1ZA3 Lecture 32: MATH 1ZA3 Lecture : Volumes
270
MATH 1ZA3 Lecture 33: MATH 1ZA3 Lecture : Work
1121
MATH 1ZA3 Lecture 34: MATH 1ZA3 Lecture : Average Value
194
MATH 1ZA3 Lecture 35: Trig Integrals
3114
MATH 1ZA3 Lecture 36: Trig Substitution
495
MATH 1ZA3 Lecture 37: Partial Fractions
4105
MATH 1ZA3 Lecture 38: Arc Length
2110
MATH 1ZA3 Lecture 39: Strategies For Integration
2122