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- Elementary Calculus I
- University of Alberta
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Browse the full collection of course materials, past exams, study guides and class notes for MATH114 - Elementary Calculus I at University of Alberta verified by our community.
PROFESSORS
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Venera Hrimiuc
fall
1Powell,Elizabeth
fall
11Tokarsky,George
fall
1Budd,Valerie
fall
1Niksirat,Mohammad Ali
winter
38Alsaody,Seidon
fall
49Farzamirad,Meymanat
fall
3Verified Documents for Alsaody,Seidon
Class Notes
Taken by our most diligent verified note takers in class covering the entire semester.
MATH114 Lecture Notes - Lecture 1: Glossary Of Arithmetic And Diophantine Geometry, Farad, Piecewise
Math 114 lecture 1 function (section 1. 1) We are going to study things that change, quantities that depend on other quantities. Function: is a rule th
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MATH114 Lecture 1: Describing Functions
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MATH114 Lecture 1: Functions
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MATH114 Lecture 2: Examples of Functions (linear, polynomial, power)
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MATH114 Lecture 2: Examples of Functions (rational, algebraic, trig, exponential)
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MATH114 Lecture 2: Properties and Examples of Functions
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MATH114 Lecture Notes - Lecture 2: Even And Odd Functions, Trigonometric Functions, Quadratic Function
Math 114 lecture 2 properties and examples of functions. Answer: no! (cid:1877)(cid:2870)=(cid:1876) y = (cid:1876) (the vertical red line shows that t
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MATH114 Lecture 3: Absolute Values Properties, Intro to Trig
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MATH114 Lecture 3: Interval Notation and Inequality Laws
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MATH114 Lecture 3: Unit Circle
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MATH114 Lecture Notes - Lecture 3: Quadratic Function, Trigonometric Tables, Pythagorean Theorem
Math 114 lecture 3 real numbers and trigonometric functions. Presents all the numbers on the number line https://math. tutorvista. com/number-system/nu
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MATH114 Lecture 4: The Squeeze Theorum
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MATH114 Lecture 4: Graphs of Trig Functions
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MATH114 Lecture 4: Composition of Functions and Exponential Functions
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MATH114 Lecture 4: Continuity with Limits
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MATH114 Lecture 4: Trigonometric Identities
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MATH114 Lecture Notes - Lecture 4: Pythagorean Theorem, Quadratic Equation, Farad
As x is a variable, we need to consider different cases. So, we divide into: x x-2 x < 0. From the table above we can see how the value of x and x-2 va
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MATH114 Lecture 4: Transforming Graphs
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MATH114 Lecture 4: One-Sided Continuities
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MATH114 Lecture 5: Inverse Functions
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MATH114 Lecture 5: Laws of Exponents
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MATH114 Lecture Notes - Lecture 5: Compound Interest, Exponential Function, Logarithm
Math 114 lecture 5 exponential functions (+ logarithms) Last week: trigonometric functions, how to vary functions to get new ones. Example: given y = f
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MATH114 Lecture 5: Laws of Exponents cont.
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MATH114 Lecture 6: Inverse Functions cont.
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MATH114 Lecture Notes - Fall 2018 Lecture 6 - List of Latin phrases (V), Unit circle
Math 114 lecture 6 inverses and logarithms continuation. Example: logb(y) = x is equivalent to y = bx. Example: f(t) = y at time t, the amount of 14c i
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MATH114 Lecture 6: Graphs of Degree 2 Equations (circles, parabolas, ellipses, hyperbolas)
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MATH114 Lecture 6: Logarithm Rules
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MATH114 Lecture 7: Limits
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MATH114 Lecture Notes - Lecture 7: Oliver Heaviside
Idea: study how the value of a function behaves as x approaches a point a. f(x) = (cid:2869), f(0) is not defined but f(x) approaches infinity as x app
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MATH114 Lecture 7: Types of Limits (one-sided, infinite)
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MATH114 Lecture 7: Calculating Limits, Limit Rules
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MATH114 Lecture Notes - Lecture 8: Squeeze Theorem, Classification Of Discontinuities
Math 114 lecture 8 limits continuation. Theorem: if f(x) = g(x) in an open interval around x = a, then lim (cid:1858)(cid:4666)(cid:1876)(cid:4667)=lim
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MATH114 Lecture Notes - Lecture 9: General Idea, Asymptote
Math 114 lecture 9 continuity/limits at infinity. Recall: fog is continuous at a if g is continuous at a and f is continuous at g(a) g f x ~~~~~~~~~> g
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MATH114 Lecture Notes - Lecture 10: Third Derivative, Second Derivative, Endorphins
Math 114 lecture 10 the derivative. Idea: measure instantaneous rate of change of a function. Application: speed of a car (rate of change of displaceme
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MATH114 Lecture Notes - Lecture 11: Product Rule
Math 114 lecture 11 the derivative continuation: constant functions f(x) = c f"(x) = lim (cid:2868)(cid:3033)(cid:4666)+ (cid:4667) (cid:3033)(cid:4666
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MATH114 Lecture Notes - Lecture 12: Product Rule, Chain Rule
Math 114 lecture 12 the derivative continuation. Example: find the derivative of the function (cid:1858)(cid:4666)(cid:1876)(cid:4667)= (cid:3032)(cid:
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MATH114 Lecture 13: MATH 114 – LECTURE 13 – THE CHAIN RULE
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MATH114 Lecture Notes - Lecture 14: Implicit Function, Quotient Rule, Logarithmic Differentiation
Math 114 lecture 14 implicit differentiation. Way to find dy/dx when y cannot be given explicitly as a function of x. Example: x2 + y2 = 4 find the slo
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MATH114 Lecture Notes - Lecture 16: Chain Rule, Light Beam, Marginal Cost
Math 114 lecture 16 application of derivatives. Average rate of change (cid:3052) (cid:3051)=(cid:4666)(cid:3051)(cid:3118)(cid:4667) (cid:4666)(cid:30
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MATH114 Lecture Notes - Lecture 17: Linear Approximation, Lincoln Near-Earth Asteroid Research, Maxima And Minima
Math 114 lecture 17 linear approximation. Idea: have y = f(x), complicated functions near a point a, tangent line is a good approximation for f(x). Equ
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MATH114 Lecture Notes - Lecture 18: Minimax, Lincoln Near-Earth Asteroid Research, Mean Value Theorem
Math 114 lecture 18 linear approximation. Theorem if f(x) is cts function on a closed interval [a,b], then f(x) has a local max/min at x = c then f"(c)
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MATH114 Lecture Notes - Lecture 19: Mean Value Theorem, Lincoln Near-Earth Asteroid Research, Inflection
Math 114 lecture 19 linear approximation continuation. On a closed interval, every function has a minimum and a maximum, these can be found: at end poi
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MATH114 Lecture Notes - Lecture 20: Asymptote, Minimax, Maxima And Minima
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MATH114 Lecture Notes - Lecture 23: Linear Approximation, Related Rates, Chain Rule
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MATH114 Lecture Notes - Lecture 24: Antiderivative
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MATH114 Lecture 25: INTEGRATION continuation
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MATH114 Lecture 26: INTEGRATION continuation
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MATH114 Lecture 27: MATH 114 Lecture 27 INTEGRATION continuation
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MATH114 Lecture Notes - Lecture 28: Even And Odd Functions
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