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Differential Equations

Mixed approximation vs. full approximation for a power series expansion
6.8K threads
Undergrad Mixed approximation vs. full approximation for a power series expansion
Find a,b,c,d given max and min in cubic function
  • Bob123Bob
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Undergrad Gauss' Theorem -- Why two different notations are used?
  • sams
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High School What is the relationship between gradient and surfaces in tensor calculus?
  • Mathematicsresear
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9
Cumulative Distribution function in terms of Error function
  • TheFallen018
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High School Understanding Kinematics in Calculus for High School Students
  • solarmidnightrose
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Undergrad Change of order in double integrals
  • Jazzyrohan
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Calculus III: Proving Tangent Line = 1 for Every Point on Curve
  • Cactusguy21
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How to Evaluate the Infinite Sum for 0 < x < 1?
  • lfdahl
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6
Determining Miles Traveled From Tire Diameter and Rotations.
  • RidiculousName
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6
Find a Solution for $y=\sqrt{7x+\sqrt{7x+\sqrt{7x}}}$
  • karush
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10
Evaluating cos((1/2)arccos(x))
  • Elissa89
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Undergrad You cannot differentiate a geometric figure?
  • talk2dream
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14
How Fast is the Height of a Gravel Cone Increasing?
  • karush
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Undergrad Simplifying this absolute value
  • Mr Davis 97
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5
Undergrad Understanding the Limit Notation: Is f(rh,h) the Same as f(r+h)-f(h)?
  • KUphysstudent
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4
Definite integral with Riemann sums
  • TheFallen018
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2
Undergrad Fourier smoothing and Savitzky-Golay filtering
  • roam
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11
Undergrad Integration of the gradient of a vector
  • dyn
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13
Implicit Function: What is It and Why Is It Used?
  • highmath
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1
How Does Simpson's Rule Estimate the Volume of an Artificial Lake?
  • Pete1
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How to integral legendre polynomial
  • Another1
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6
Derivatives of trigonometric functions
  • jhe2
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Differential equations Romeo and Juliet
  • martha1
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4
Romeo and Juliet initial conditions
  • martha1
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High School GramSchmidt process for Taylor basis
  • Somali_Physicist
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7
Given amount and interest rate, find principal
  • brownrebecca333
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2
High School Intution behind the gradient giving the steepest ascent in 2D
  • Mohankpvk
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3
Finding Domain for Natural Log with Exponent f(x)=ln(x^2−5x)
  • RidiculousName
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6
Undergrad Solving Trig Integrals with Residue Theorem
  • dyn
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3
Basic definite integral question
  • TheFallen018
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1
Insights The 10 Commandments of Index Expressions and Tensor Calculus - Comments
  • Orodruin
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15
Improper integral from 1 to infinity
  • yeny
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2
Undergrad 2nd derivative of angular displacement wrt time
  • Prez Cannady
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4
Undergrad Evaluation of a certain complex function
  • maistral
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2
Graduate Question about computing residues after substitution
  • Belgium 12
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2
Undergrad A Question about Unit Vectors of Cylindrical Coordinates
  • sams
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2
Undergrad Order of integration and taking limits
  • dyn
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3
Undergrad Can You Integrate Unit Vector ρ Without Switching to Cartesian Coordinates?
  • ys98
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3
Finding Gradient: Tips & Techniques
  • Yazan975
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5
High School Is Understanding 'dx' Just a Heuristic in Calculus?
  • archaic
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15
Continuity of $g$ at $a=1$: Proven
  • karush
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1
241.19 the e d definition of a limit.
  • karush
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1
Undergrad Integrating Discrete Data for Navigation: A Comprehensive Guide
  • 9988776655
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2
Undergrad Eliminating the Parameter from Helix Equation
  • Eve Litman
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3
Undergrad Double integrals (line vs. Area)
  • starstruck_
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3
Undergrad Sequences for infinitely nested radicals
  • Stephen Tashi
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3
Undergrad A question about writing the notation of the nabla operator
  • sams
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2
Undergrad Sign mistake when computing integral with differential forms
  • beefbrisket
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3
Undergrad Vector Diff. Q: Dot & Cross Prod. Differentiation?
  • sams
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2
High School Limits on Composite Functions- Appears DNE but has a limit
  • opus
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8
Solving for an exponential equation using logarithms 16^{x}-5(4)^{x}-6=0
  • sp3
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3
Undergrad Spivak's Calculus: clarification on Conic Sections appendix
  • Adgorn
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4
Undergrad Finding the constants in an expression
  • ArnoldEdv
  • · Replies 3 ·
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3
Am I doing this related rates right?
  • TheFallen018
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2
Graduate Inverse function of the Nyquist-Shannon sampling theorem
  • d2x
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2
Value of $\displaystyle \lim_{x \to 0} g(x)$ Given Limit Statements
  • karush
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3
Graduate Why Is the Measure of a Nonconvex Hessian Matrix Convex?
  • mertcan
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3
High School Limit of x & c as x→a: Basic Results
  • opus
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5
Undergrad Chain Rule of Multivariable Calculus
  • sams
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2
Undergrad Understanding Confusing Expansion: Taylor Series Expansion
  • WWCY
  • · Replies 9 ·
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9
Undergrad Proof of The volume under surfaces formula
  • TheoEndre
  • · Replies 26 ·
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26
Insights Some Misconceptions about Indefinite Integrals - Comments
  • micromass
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22
Can you help with these calculus questions?
  • sarahlee
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4
Undergrad How to draw the following vector field?
  • sams
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6
Answer: Solving Algebra Problems: du=-30x^2dx to x^2 dx = -(1/30)du
  • student231
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1
Undergrad Gabriel's Horn, Inside vs. Outside Surface area
  • bob012345
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9
Undergrad How Can I Solve This Complex Integral Evaluation Problem?
  • EngWiPy
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5
Is the definite integral ∫ [arcsin(1/x)-1/x]of indeterminate form?
  • lfdahl
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2
243.13.01.18 motion of a particle
  • karush
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14
Need help with velocity problem that I have no idea how to do
  • sma14
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2
Implicit Function: Why Is It a Function?
  • roni1
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3
Undergrad Understanding Divergence of Vector Function F in 3D Space
  • Mohankpvk
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8
Undergrad Closed-form solution for a triple integral
  • EngWiPy
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15
Graduate Calculus of Variations and Natural BCs
  • member 428835
  • · Replies 3 ·
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3
High School Triple integral in spherical coordinates.
  • Mohankpvk
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6
Undergrad Frequency spectrum of phase shift
  • entropy1
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24
Undergrad Munkres-Analysis on Manifolds: Extended Integrals
  • Bill2500
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5
Undergrad Is the derivative of a discontinuity a delta function?
  • Phys12
  • · Replies 1 ·
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1
Undergrad Closed-form solution for an integral
  • EngWiPy
  • · Replies 12 ·
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12
Undergrad Question regarding a sequence proof from a book
  • MathMorlock
  • · Replies 3 ·
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3
Undergrad Integrals are harder than derivatives, why?
  • wolly
  • · Replies 57 ·
2
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57
Graduate Integrating Gaussians with complex arguments
  • hideelo
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4
Numerics on wild oscillating functions
  • Theia
  • · Replies 2 ·
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2
High School Does undefined always mean infinity?
  • Wrichik Basu
  • · Replies 15 ·
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15
Undergrad Simple dot product in polar coordinates
  • member 428835
  • · Replies 20 ·
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20
Undergrad Help with integration conventions in "Spacetime and Geometry" by Sean Carroll
  • George Keeling
  • · Replies 4 ·
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4
Undergrad Changing the limits of integration, getting 0
  • Mr Davis 97
  • · Replies 5 ·
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5
Undergrad Shifting polar functions vertically
  • member 428835
  • · Replies 7 ·
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7
How Can Riemann Sums Calculate the Volume of a Tepee Tent?
  • MathsKid007
  • · Replies 3 ·
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3
Undergrad How to think about x/x, or (x-1)/(x-1) etc.
  • kmm
  • · Replies 9 ·
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9
Undergrad Differentiating under the integral sign
  • Mr Davis 97
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7
Undergrad Getting two different values for f(0)
  • Mr Davis 97
  • · Replies 3 ·
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3
Simple closed form for integral
  • Tony1
  • · Replies 3 ·
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3
Graduate An interesting infinite series
  • Hassan2
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4
Jason's calculus questions
  • Prove It
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4
High School Is it possible to manipulate partial derivatives in this manner?
  • SiennaTheGr8
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6
Undergrad Indeterminate Limit: Evaluating ##\displaystyle \lim_{a \to 0^+} a^2 \log a##
  • Mr Davis 97
  • · Replies 1 ·
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1
Riemanns Sum Problem: Find the exact volume
  • MathsKid007
  • · Replies 1 ·
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1
Graduate What it means to be infinitely differentiable
  • fred_91
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3
Undergrad How to derive Coriolis acceleration from Frénet–Serret?
  • swampwiz
  • · Replies 1 ·
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1