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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
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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

Verified Documents for Powell,Elizabeth

Class Notes

Taken by our most diligent verified note takers in class covering the entire semester.
MATH114 Lecture 1: MATH114-LECTURE#1-FUNCTIONS AND THEIR GRAPHS
A function from a set d(particular domain) to a set r(particular range) is a rule that assigns exactly one y-value to each x-value . A function is deno
334
MATH114 Lecture 9: MATH114-LECTURE#9-LIMITS OF A FUNCTION
When looking at the limit of a function, we are trying to see how the function behaves at a certain point. For example, if (cid:1858)(cid:4666)(cid:466
531
MATH114 Lecture Notes - Lecture 10: Squeeze Theorem, Algebraic Solution, Asymptote
Math114-lecture#10-limits of a function continued and squeeze theorem. If f(x) grows without bound as x goes to a, we write: lim (cid:1858)(cid:4666)(c
839
MATH114 Lecture Notes - Lecture 11: Indeterminate Form, Intermediate Value Theorem
Informally, a function is continuous if you can draw its graph without lifting your pen. For example, the function y = x + 3 is continuous. Note: previ
614
MATH114 Lecture Notes - Lecture 12: Indeterminate Form
To determine the limits of rational functions as they approach , factor the numerator and the denominator by the largest power of x in function. The la
717
MATH114 Lecture Notes - Lecture 13: Difference Quotient
Use the general equation of a line if you have a vertical line because the first two only work for functions. To find c you can input any of the two gi
433
MATH114 Lecture Notes - Lecture 14: Difference Quotient
In point-slope formula, the tangent line can be given by: The derivative at x = a, denoted by (cid:1858)"(cid:4666)(cid:4667) is given by the limit as
342
MATH114 Lecture Notes - Lecture 16: Power Rule
Points where the derivative will not exist: corners, cusps, points of discontinuity, points outside the domain of f(x) Theorem: if f is differentiable
518
MATH114 Lecture Notes - Lecture 17: Quotient Rule
For example, find the derivative of (cid:2871)47 (cid:1856)(cid:1856)(cid:1876)[(cid:1858)(cid:4666)(cid:1876)(cid:4667)(cid:1859)(cid:4666)(cid:1876)(
325
MATH114 Lecture 18: MATH114-LECTURE#18-CHAIN RULE
219
MATH114 Lecture Notes - Lecture 19: Implicit Function
Implicit differentiation is used to find the derivative/tangent lines of curves that do not pass the vertical line test (curves that are not functions)
232