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 2A - Single-Variable Calculus at University of California - Irvine verified by …
PROFESSORS
All Professors
All semesters
Shuhao Cao
fall
4Liu, W
fall
34JESSIE, D.
fall
27Aghavni Simonyan
winter
14Verified Documents for Liu, W
Class Notes
Taken by our most diligent verified note takers in class covering the entire semester.
MATH 2A Lecture 1: MATH 2A - Lecture 1 - Four ways to represent a function
Math 2a - lecture 1 - four ways to represent a function. A function f is a rule that assigns to each element x in a set d, exactly one. For each x ther
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MATH 2A Lecture Notes - Lecture 2: Algebraic Function, Cube Root, Logarithm
Math 2a - lecture 2 - mathematical models and different types of functions. A mathematical model is a mathematical description (often by means of funct
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MATH 2A Lecture 2: MATH2A Lecture 2- Exponential Functions and Inverse Functions
A is called the base and a > 0. A n = a * a * a. Rules of exponents: a x+y = a x * a y : adding exponents is the same as multiplying the exponential
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MATH 2A Lecture Notes - Lecture 3: Function Composition, Farad
Math 2a - lecture 3 - new functions from old functions. By applying certain transformations to the graph of a given function, we can obtain the graph o
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MATH 2A Lecture Notes - Lecture 3: Inverse Function, Trigonometric Functions
Types of functions: there are five basic types of functions, trigonometric functions (sinx, cosx, etc. , polynomial functions ( x 2 + x + 3, etc. , exp
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MATH 2A Lecture 4: Math 2A Lecture 4 and Discussion Notes- Functions ctn.
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MATH 2A Lecture 4: MATH 2A - Lecture 4 - Exponential Functions
Math 2a - lecture 4 - exponential functions. We previously defined a function in the form of variable). Do not confuse exponential functions with power
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MATH 2A Lecture Notes - Lecture 5: Asymptote
The limit of f(x) as x approaches a is l. Y = 2x graph: https://people. richland. edu/james/lecture/m116/logs/2x. gif y=log 2 x graph: https://upload.
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MATH 2A Lecture Notes - Lecture 5: Logarithm, Inverse Function, Farad
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MATH 2A Lecture Notes - Lecture 6: Tangent
Math 2a - lecture 6 - tangent line problem & velocity problem. Suppose that we have a curve like y=x and we want to know the slope of the tangent l
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MATH 2A Lecture Notes - Lecture 6: Power Law
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MATH 2A Lecture Notes - Lecture 7: Asymptote, Farad
Math 2a - lecture 7 - the limit of a function. When we talk about the limit of a function, when x a (when x approaches the value of a). Suppose that f(
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MATH 2A Lecture Notes - Lecture 7: Intermediate Value Theorem
F is not continuous at x = 3. Where are the following functions discontinuous? a) b) f(x)= (x^2 -x -2) / (x-2) x=2 f(x) = 1/x^2 if x 0 x = 0. Therefore
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MATH 2A Lecture 8: Math 2A Lecture 8: Limits at Infinity & Horizontal Asymptotes
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MATH 2A Lecture Notes - Lecture 8: Squeeze Theorem
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MATH 2A Lecture Notes - Lecture 9: Tangent, Hyperbola
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MATH 2A Lecture Notes - Lecture 10: Intermediate Value Theorem
: if f(x) lim h 0 f(x+h) f(x) h h(2+(x+h)(2+x) = (3)/((2+x) 2 ) exists, we say that f is differentiable at x=a. : find f (x) where f(x) = (((1 (x+h))/(
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MATH 2A Lecture Notes - Lecture 12: Tangent, Differentiable Function, Power Rule
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MATH 2A Lecture 13: Math 2A Lecture 13: More Derivatives and Derivatives of Trig Functions
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MATH 2A Lecture 14: Math 2A Lecture 14: Chain Rule
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MATH 2A Lecture 15: Math 2A Lecture 15: Implicit Differentiation
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MATH 2A Lecture Notes - Lecture 16: Implicit Function
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MATH 2A Lecture 17: Math 2A Lecture 17
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MATH 2A Lecture 18: Math 2A Lecture 18: Exponential Growth and Decay
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MATH 2A Lecture 19: Math 2A Lecture 19: Related Rates and Linear Approximations
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MATH 2A Lecture 22: Math 2A Lecture 22
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MATH 2A Lecture 23: Math 2A Lecture 23
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MATH 2A Lecture 24: Math 2A Lecture 24
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MATH 2A Lecture Notes - Lecture 26: Maxima And Minima, Minimax, Inflection
Math 2a lecture 26: first and second derivative test. : find the local maximum values of g(x) at x + 2 sinx, from 0 x 2. 4/3 g"(x) changes from positiv
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MATH 2A Lecture 27: Math 2A Lecture 27: L'Hopital's Rule
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MATH 2A Lecture 28: Math 2A Lecture 28
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MATH 2A Lecture 29: Math 2A Lecture 29: Optimization & Antiderivatives
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MATH 2A Lecture 30: Math 2A Lecture 30: Antiderivatives ctn & Final Review
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MATH 2A Lecture 31: Math 2A Lecture 31: Final Review
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