Verified Documents at University of California - Davis
- Calculus
- University of California - Davis
- Verified Notes
Browse the full collection of course materials, past exams, study guides and class notes for MAT 21C - Calculus at University of California - Davis verified by our community.
PROFESSORS
All Professors
All semesters
Chaim Even Zohar
spring
27Joel Hass
spring
24Francisco Arsuaga
spring
1Verified Documents for Joel Hass
Class Notes
Taken by our most diligent verified note takers in class covering the entire semester.
MAT 21C Lecture 1: Sequences
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MAT 21C Lecture Notes - Lecture 2: Squeeze Theorem, Indeterminate Form
350
MAT 21C Lecture Notes - Lecture 3: Bmw 3 Series, Telescoping Series
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MAT 21C Lecture Notes - Lecture 4: Ibm System P, Integral Test For Convergence
A*r n-1 converges to a/(1-r) if |r| < 1. This test states that if a series doesn"t approach 0, then it diverges. **note that this does not imply tha
252
MAT 21C Lecture Notes - Lecture 5: Telescoping Series, Partial Fraction Decomposition, Integral Test For Convergence
Trick to solve this, rewrite it as: 1/(n+2) - 1/(n+3) **splitting into partial fractions ** S n = (1/(1+2) - 1/(1+3)) + (1/(2+2) - 1/(2+3)) + (1/(n+2)
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MAT 21C Lecture Notes - Lecture 6: Absolute Convergence, Ratio Test, Conditional Convergence
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MAT 21C Lecture Notes - Lecture 7: Ibm System P, Ratio Test
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MAT 21C Lecture Notes - Lecture 8: Limit Comparison Test, Root Test, Ratio Test
Definition: type of series useful when working with taylor series (will be covered in the future) Form: c n x n = c 0 + c 1 x + c 2 x 2 + c r x r, c n
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MAT 21C Lecture 9: Practice with Power Series
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MAT 21C Lecture Notes - Lecture 10: Absolute Convergence, Ratio Test, Antiderivative
Because we also want to measure for absolute convergence, we do not use the. Alternating series test, which would only indicate conditionally convergen
333
MAT 21C Lecture 11: Approximations with Taylor Series
Mat21c - lecture 11 - approximations with taylor series. ~ wednesday, april 24th, 2019 f(x) gives taylor series about x = a. * (x-a) n ~ f(a) + f"(a)(x
229
MAT 21C Lecture Notes - Lecture 12: Absolute Convergence, Ratio Test, Horse Length
Series: a 1 + a 2 + a 3 + a 4 + l a n l means: Given > 0, there exists an n so that |a n - l| + whenever n >= n. And perhaps diverges for some ot
135
MAT 21C Lecture 13: Intro To Vector Calculus
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MAT 21C Lecture Notes - Lecture 13: Vector Calculus
Mat21c - lecture 13 - vector calculus introduction. Up until this point, calculus has been focused on real-valued functions of one variable. E. g. f(x)
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MAT 21C Lecture Notes - Lecture 14: Unit Vector, Dot Product
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MAT 21C Lecture Notes - Lecture 15: Unit Vector, Cross Product, Dot Product
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MAT 21C Lecture Notes - Lecture 16: Parametric Equation, Parallelogram
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MAT 21C Lecture Notes - Lecture 17: Dot Product
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MAT 21C Lecture 21: Functions of Several Variables
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MAT 21C Lecture Notes - Lecture 22: Level Set
Mat21c - lecture 22 - limits of two-variable functions. The contour curve projects to the level curve. Contour curve: a curve along which the function(
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MAT 21C Lecture 23: Partial Derivatives
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MAT 21C Lecture Notes - Lecture 26: Differentiable Function, List Of Trigonometric Identities
The case that we can apply the chain rule for functions of two variables is when: X = x(t) -- x is a differentiable function of t. Y = y(t) -- y is a d
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MAT 21C Lecture Notes - Lecture 27: Directional Derivative, Dependency Graph, Unit Vector
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MAT 21C Lecture Notes - Lecture 28: Second Derivative, Fxx, Lagrange Multiplier
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