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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.
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PROFESSORS
All Professors
All semesters
Venera Hrimiuc
fall
1
Powell,Elizabeth
fall
11
Osmanagic,Enver
fall
5
spring
3
Tokarsky,George
fall
1
Budd,Valerie
fall
1
Niksirat,Mohammad Ali
winter
38
Alsaody,Seidon
fall
49
Farzamirad,Meymanat
fall
3

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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
4141
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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