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Differential Equations

Mixed approximation vs. full approximation for a power series expansion
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Undergrad Mixed approximation vs. full approximation for a power series expansion
Graduate 1-norm is larger than the Euclidean norm
  • Dr. Seafood
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Graduate Lebesgue integration over sets of measure zero
  • AxiomOfChoice
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Undergrad How Can I Best Relearn Mathematics for an Undergraduate Course?
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Undergrad Understanding Leibniz's Rule: Use, Why & Examples
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Graduate How to Derive and Verify the Taylor Series Expansion for log(1+x)?
  • uppaladhadium
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Graduate Taylor expansion, of gradient of a function, in multiple dimensions
  • Whenry
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Undergrad Useful Tricks for Calculus & Vector Calculus
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Graduate Integrating a Complex Math Problem - Need Help!
  • pirce
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Undergrad Understanding d/dx (sin-1x) & Deriving dy/dx = -sin-2xcosx
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Graduate Proof that lim x->0 log(1+x)/x = 1
  • uman
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Graduate Can open sets be written as unions of intervals?
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Undergrad What Are the Best Books for Learning Calculus Proofs?
  • jessjolt2
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Graduate Is the Complex Number Identity True for Imaginary Numbers and Integer Powers?
  • zetafunction
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Graduate Exponential Power Series Expansion
  • Lucid Dreamer
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Undergrad A question in logarithmic differentiation
  • Nanas
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4
Undergrad Parametrizing a Line Integral: Finding the Easiest Approach
  • hawaiifiver
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Undergrad Taylor expansion centering question
  • quietrain
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Undergrad Question about substitution in limits?
  • Kratos321
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9
Graduate Analysis of Verlet integration method
  • woodssnoop
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Graduate Existence of Limit with Integrals.
  • Bacle
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Integration Question: Solutions & Tips
  • KingBigness
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Undergrad Are sequences and sets the same thing?
  • Damidami
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Graduate Definition help (accumulation point/limit point)
  • angryfaceofdr
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Undergrad When does return on interest, equal your annual principle savings
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Undergrad Help with finding an equation for a set of data
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Undergrad Factoring A difference of fifths
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Graduate Are Pointwise Convergent Functions Limited to Measurable Sets?
  • tohauz
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Graduate What Does \(\pi^{-1}(\pi(V))\) Mean in Quotient Spaces?
  • AxiomOfChoice
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Graduate How did Jackson simplify the Taylor expansion for charge density in 3-D?
  • techmologist
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2
High School Cos(x) question How would you call 'x'?
  • mimzy
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Graduate Associative property of convolution
  • sainistar
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2
Undergrad Volume calculation between two different trapezoidal areas
  • americanfrank
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Undergrad Vectors along surface of a sphere
  • Dissonance in E
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Graduate Silly Limit Question: Can We Replace x with t?
  • epimorphic
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Undergrad Surface area and volume of a sphere
  • vector22
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Graduate What, Physically is a Spherical Harmonic?
  • Fyrefly
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4
Undergrad How to integrate a sinc function?
  • yungman
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Graduate Is There an Error in the Additive Inverse Definition in Rudin's PoMA?
  • Khichdi lover
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Graduate Convolution of two delta functions in frequency domain
  • atrus_ovis
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Undergrad Natural log of a variable times the variable
  • ill
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Graduate What is the value of this complex line integral?
  • burak100
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Undergrad Trignometric Polynomial complex form
  • phillyj
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Graduate Proofs with epsilon delta (real analysis)
  • Wingeer
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4
Graduate Exact value of truncation error
  • roldy
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2
Graduate Why is the gradient vector normal to the level surface?
  • animboy
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Undergrad How Can You Solve the Geometric Series Expansion for \(\sum n^2 x^n\)?
  • Andronicus1717
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Graduate Why do we need an m between -m2 and m1 to prove Theorem 1.20?
  • Khichdi lover
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4
Graduate Taylor's Upper Bound: f(x) 2x Diff. Function (0,∞)
  • burak100
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Graduate Is (2, 3) a Closed Set in the Phase Space X = [0, 1] ∪ (2, 3)?
  • burak100
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Graduate What is wrong with this proof? (lipschitz functions)
  • dreamtheater
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Graduate Complex Line Integral Value for Natural Numbers n=1,2,3..
  • burak100
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Graduate How can I normalize a window function for accurate Fourier transforms?
  • TheDestroyer
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Graduate Need help Proving infinite limit properties.
  • leoxy520
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Graduate How is the half-normal distribution associated with the c.d.f formula derived?
  • Zoran
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Graduate Directional derivative and the gradient - confused.
  • Tomer
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Graduate How shall we call these types of integrals in Complex Analysis?
  • jackmell
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Undergrad Integral of 1/x = ln(x) Problem has missing absolute value?
  • Jonnyb42
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Graduate Solving e^(a^2) x erfc(a) Equation”
  • bhartish
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Undergrad Tell me about these basic powefull rules of calculas.
  • vkash
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10
Graduate Doubts on the Vitali Set - Marco's Story
  • muzialis
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Undergrad Finding the period of trig series analytically?
  • gongo88
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Graduate What does normalized (k + 1)th divided difference at distinct nodes mean?
  • CantorSet
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Graduate When Does Measurability Hold in Product Space?
  • wayneckm
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4
Graduate Is the Lebesgue Integral of sin x / x from 0 to infinity Nonexistent?
  • muzialis
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Undergrad Monotonically increasing/decreasing functions
  • gliteringstar
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High School Why is calculus not a required part of the high school math curriculum?
  • SootAndGrime
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Undergrad Ignoring positive/negative values with trig substitutions?
  • process91
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2
Undergrad Uncovering Periodicity of tan|x|: Rules & Examples
  • Bassalisk
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5
Graduate Integration under the integral sign
  • 54stickers
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5
Undergrad Is Retaking Elementary Analysis Worth It for Applied Mathematicians?
  • andyroo
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Graduate Dirac delta in Fourier transforms?
  • pivoxa15
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Graduate Is there a pole at z=-1 in this complex integral problem?
  • Topher925
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4
Graduate A conjecture about the rationallity of a definite integral
  • Damidami
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4
Graduate Solving Complex Equation arcsin(z)=w
  • Bassalisk
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9
Undergrad My satellite should go in a circle, not an ellipse
  • Rapidrain
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6
Graduate Surface integral of normal vector
  • daudaudaudau
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6
Graduate From Fourier Series to Fourier Transforms
  • mnb96
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5
High School Determining which coffee has a greater rate of cooling
  • nousername
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2
Graduate Is There a Non-Constant Periodic Function Under Dilation?
  • zetafunction
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1
Undergrad Can Limits on Variable a Be Determined Solely by p and q?
  • natski
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1
Undergrad For tiny h, f(x+h) = f(x) + hf'(x) ?
  • wizkhal
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20
Graduate Why is the wedge product of vectors used in exterior algebra?
  • JG89
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5
Graduate What is the antiderivative of x^x?
  • f25274
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1
Undergrad Limit of a Step Function in Mathematica
  • you878
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2
Graduate Integration of an energy balance equation, with respect to time.
  • lukea125
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2
Undergrad Help! Integrating Volume Flux Across a Tube
  • Dampire
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1
Undergrad Initial-Value Problem Integration Question
  • bobbles22
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1
Graduate What are the branch points for \log (z^2 + 2z + 3)?
  • Gh0stZA
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5
Undergrad Why does the power rule work? [answer is probably :/ obvious]
  • nickadams
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2
Graduate Can Theta Be Determined from Antenna Field Pattern Equations?
  • yungman
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1
Graduate Transforming a sum to another one.
  • MathematicalPhysicist
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11
Undergrad Proving Calculus:Invariant w.r.t. Integral function?
  • cyt91
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6
Undergrad The partial derivatives of arctan(y/x)
  • Hayate
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6
Undergrad Now to program a sine divid by a sine function in Excel?
  • yungman
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3
Graduate Cauchy Sequence of Continuous Fns: Uniform Convergence?
  • Kalidor
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6
Undergrad Forcing a Least squares Polynomial through a fixed point
  • KayWarner
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8
Undergrad Why Does the Osculating Circle Formula Involve Derivatives?
  • Ele38
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3
Undergrad In Wikipedia, it is said that[tex]\mathrm dy=\frac{\mathrm
  • dalcde
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Graduate Infinite sum over exponentials
  • ThomasVogt
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3
Graduate What is the Limit of a Function with Finite Integral?
  • Lajka
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