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Verified Documents at University of California - Irvine

Single-Variable Calculus
University of California - Irvine
Verified Notes

Browse the full collection of course materials, past exams, study guides and class notes for MATH 2B - Single-Variable Calculus at University of California - Irvine verified by …

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GUO, Z

ERJAEE, G.

XIN, J.

Erjaee

Verified Documents for ERJAEE, G.

Class Notes

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MATH 2B Lecture Notes - Lecture 1: Antiderivative, Mean Value Theorem

Anti-differentiation is exactly what it sounds like: the opposite of differentiation. That is, given a function f, can we nd a function f whose derivat

MATH 2B Lecture Notes - Lecture 2: Farad, Riemann Sum

Math 2b - lecture 2 - areas and distances. The starting point of integral calculus is the problem of calculating area . The na ve concept of area comes

MATH 2B Lecture 3: Definite Integrals

Math 2b - lecture 3 - definite integrals. Suppose that f is a function defined on an interval [a,b]. Let n be a positive integer, define b a x = n and

MATH 2B Lecture Notes - Lecture 4: Error Function, Farad, Antiderivative

Math 2b - lecture 4 - the fundamental theorem of calculus. It is termed fundamental because it provides the link between the two branches of calculus:

MATH 2B Lecture Notes - Lecture 5: Antiderivative

Math 2b - lecture 5 - indefinite integral and net change theorem. From fundamental theorem of calculus, we know that: Part i: g"(t) = (x) dx f(t) f t d

MATH 2B Lecture 6: Substitution Rule

Math 2b - lecture 6 - substitution rule. We introduce a new variable u=2x, then the integral becomes: s in(2x) dx u=2x s in u dx. Since dx is not consi

MATH 2B Lecture 8: Area Between Curves

MATH 2B Lecture Notes - Lecture 9: Riemann Sum

MATH 2B Lecture Notes - Lecture 10: Riemann Sum

MATH 2B Lecture Notes - Lecture 12: Product Rule

MATH 2B Lecture 13: Trigonometric Integrals

MATH 2B Lecture Notes - Lecture 14: Trigonometric Substitution

MATH 2B Lecture 15: Integration of Rational Functions by Partial Fractions

MATH 2B Lecture Notes - Lecture 16: Trigonometric Substitution, Partial Fraction Decomposition

MATH 2B Lecture 17: Improper Integrals

MATH 2B Lecture 18: Sequences

MATH 2B Lecture 20: Integral Test

MATH 2B Lecture 22: Comparison Test

MATH 2B Lecture Notes - Lecture 23: Alternating Series Test, Alternating Series

MATH 2B Lecture Notes - Lecture 24: Ratio Test

MATH 2B Lecture Notes - Lecture 25: Ibm System P, Direct Comparison Test, Ratio Test

MATH 2B Lecture Notes - Lecture 26: Ratio Test, Bmw 1 Series, Direct Comparison Test

MATH 2B Lecture 27: Representations of Functions as Power Series

MATH 2B Lecture Notes - Lecture 28: Taylor Series, Ratio Test

MATH 2B Lecture Notes - Lecture 29: Riemann Sum, Antiderivative

MATH 2B Lecture Notes - Lecture 30: Improper Integral, Taylor Series