Calculus Forum

Join experts in discussion of calculus topics. This may include topics on Elementary functions, Calculating limits, derivatives and integrals. Optimization problems and Homework help is available.

Threads

Graduate How Is a Closed Set of Rational Numbers Defined?

  • Andy_ToK
  • · Replies 6 ·
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6

Undergrad Yield (ROI = Return Of Investment) formula question

  • rivica
  • · Replies 3 ·
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3

Undergrad Solving Quadratic Inequalities Using Inequality Properties

  • albema
  • · Replies 2 ·
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2

Graduate Density of [0,1]-C on Thick Cantor Set Construction | Sequence {a_n}

  • hj2000
  • · Replies 2 ·
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2

Graduate How Does a Non-Atomic Measure Relate to Lebesgue Measure Through a Function?

  • hj2000
  • · Replies 1 ·
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Undergrad Integration Problem with Inconsistent Results

  • truewt
  • · Replies 16 ·
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16

Graduate Sigma Algebra Operations: Examples

  • pivoxa15
  • · Replies 8 ·
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8

Graduate Coming up with counterexamples in Real Analysis

  • bham10246
  • · Replies 7 ·
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7

Graduate Problems relating to Absolute Continuity

  • bham10246
  • · Replies 9 ·
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9

Graduate Linear Analysis: Connection to Traditional Analysis

  • pivoxa15
  • · Replies 1 ·
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1

Undergrad What is the Physical Significance of Curl and Div Operators in Physics?

  • captain
  • · Replies 6 ·
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6

Undergrad Differentiability and continuity confusion

  • physics4life
  • · Replies 19 ·
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19

Graduate Can high school students know calculus better than Newton?

  • Nereid
  • · Replies 62 ·
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Undergrad Complete ALGO to solve a indefinite integral ( classroom questions )

  • amitjnkp
  • · Replies 5 ·
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5

Undergrad Is There a Trick to Simplifying Integrals of Complex Numbers?

  • x-is-y
  • · Replies 2 ·
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2

Undergrad Tricky trig integral (calc 1/2 level)

  • curiousbeaver
  • · Replies 7 ·
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7

Undergrad Solving a Logistic Model - Population Data

  • botty_12
  • · Replies 1 ·
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1

Undergrad Undergrad project in calculus III

  • eminent_youtom
  • · Replies 1 ·
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1

Undergrad Why Are Epsilon-Delta Proofs Important?

  • rcg
  • · Replies 15 ·
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15

Graduate What is the solution to this heavy integral?

  • janhaa
  • · Replies 3 ·
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3

High School Can saomebody explain me whats differential mean?

  • Mzz
  • · Replies 8 ·
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8

Graduate Can a function's continuity be described by a uniform value of delta?

  • pivoxa15
  • · Replies 7 ·
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7

High School Is 1 divided by infinity equal to zero?

  • Nick666
  • · Replies 32 ·
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32

Graduate Logarithmic Series Expansion Using Taylor's/McLaurin's

  • smoothman
  • · Replies 12 ·
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12

Undergrad Jacobian in change of coordinates

  • Simfish
  • · Replies 3 ·
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3

Graduate What is the inner product of two piecewise-defined functions?

  • Asuralm
  • · Replies 5 ·
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5

Graduate Upper function and lebesgue integrals

  • travis0868
  • · Replies 1 ·
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1

High School Can I Trust Blind Substitutions in Integration?

  • dilan
  • · Replies 3 ·
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3

Undergrad Understanding First-Year Calculus Concepts: Integrand and Antiderivative

  • albema
  • · Replies 3 ·
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3

Undergrad Proving 2^n via Induction: 1+n!/1!+n(n-1)!/2!+...”

  • theperthvan
  • · Replies 2 ·
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2

Graduate Integral of x^m/(x^n+a^n)^p: Contour Integration

  • captain
  • · Replies 8 ·
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8

Undergrad How can I find the maximum value of a function on a specific interval?

  • physics4life
  • · Replies 2 ·
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2

Undergrad Integration Series: Investigating a Puzzling Relation

  • disregardthat
  • · Replies 13 ·
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13

High School Why can horizontal asymptotes be crossed?

  • lLovePhysics
  • · Replies 8 ·
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8

Graduate Counting Integer Roots of a Polynomial Using Sturm Sequences

  • Klaus_Hoffmann
  • · Replies 4 ·
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4

Graduate Seeking Advanced Differentiation & Integration Books

  • albema
  • · Replies 3 ·
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3

Graduate Metrization Theorem: Understanding Munkres' Proof

  • redrzewski
  • · Replies 12 ·
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12

Undergrad For f(x) = x^n, I have to prove f'(x) = 1/n x^{n-1}

  • mathusers
  • · Replies 18 ·
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18

Graduate One integral (square root and gaussian peak)

  • jostpuur
  • · Replies 13 ·
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13

High School Motion on a Curve: Velocity Vector Always Tangent

  • Swapnil
  • · Replies 5 ·
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5

Graduate Is the Derivative w.r.t. a Function Different from the Classic Chain Rule?

  • ledol83
  • · Replies 9 ·
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9

Graduate What does it mean for a function to be N-times differentiable?

  • jostpuur
  • · Replies 6 ·
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6

Graduate Square integrable/vanish at infinity?

  • kharranger
  • · Replies 1 ·
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1

Graduate Differentiability of the mean value

  • jostpuur
  • · Replies 1 ·
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1

High School Do you leave radicals in the denominator?

  • lLovePhysics
  • · Replies 2 ·
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2

Undergrad How do I solve an implicit differentiation problem with two different answers?

  • homology
  • · Replies 18 ·
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18

Undergrad What is the meaning of a line integral and how is it calculated?

  • theperthvan
  • · Replies 8 ·
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8

Graduate Fourier Coefficients: A_n & B_n Explained

  • dimensionless
  • · Replies 1 ·
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1

Graduate Changing variables in integrals?

  • Chen
  • · Replies 3 ·
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3

Undergrad Limits - Please provide some good reading materials

  • truewt
  • · Replies 3 ·
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3

Undergrad Understanding Cardinal Splines - Formula Explained

  • Gepard
  • · Replies 1 ·
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1

Graduate What is the integration process for this integral?

  • rockytriton
  • · Replies 3 ·
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3

Graduate Parametric equation of a line and a plane

  • linuspauling
  • · Replies 1 ·
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1

Undergrad What Happens at the Cusp on the Original Graph When Viewing the Derivative?

  • sarahr
  • · Replies 2 ·
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2

Undergrad What Topics Are Covered in Calculus III?

  • GoldPheonix
  • · Replies 9 ·
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9

Undergrad Finding bend(maxima/minima) in plotted curve

  • KN2007
  • · Replies 14 ·
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14

Graduate Understanding Functional Spaces in Mathematics

  • a_Vatar
  • · Replies 2 ·
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2

Undergrad Where can I find practice problems for Integral Calculus?

  • albema
  • · Replies 3 ·
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3

Graduate I on solving ∫e^(z^2)* fn(z) dz, where fn(z) =. .

  • T.Engineer
  • · Replies 12 ·
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12

Undergrad Integrate x^3/(x^5-1): Solutions

  • Andy_ToK
  • · Replies 3 ·
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3

Undergrad How Do You Determine When Acceleration Is Zero in Particle Motion Calculations?

  • lihinii
  • · Replies 1 ·
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1

Undergrad Monotonic bounded sequence theorem

  • pakmingki
  • · Replies 2 ·
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2

Graduate Is There a Simpler Proof for the Vector Distance Formula from a Point to a Line?

  • linuspauling
  • · Replies 2 ·
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2

Undergrad Is there a way to determine if a polynomial has only real roots?

  • Klaus_Hoffmann
  • · Replies 1 ·
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1

Graduate Can Borel resummation be applied to integrals ?

  • Klaus_Hoffmann
  • · Replies 1 ·
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1

Undergrad Understanding the Exact Differential Notation in Multivariable Calculus

  • GoldPheonix
  • · Replies 4 ·
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4

Graduate Where Can You Find Information on Sets with Mass Zero?

  • sutupidmath
  • · Replies 7 ·
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7

Undergrad What is the physical significance of the divergence?

  • seang
  • · Replies 3 ·
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3

Undergrad How Should Absolute Value Be Handled in Trigonometric Integrals?

  • danago
  • · Replies 3 ·
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3

Undergrad Building a Piecewise Function with Elementary Functions

  • roger
  • · Replies 13 ·
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13

Graduate How Can We Approximate the n-th Derivative Using the n-th Difference?

  • Klaus_Hoffmann
  • · Replies 1 ·
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1

Undergrad Why can sqrt(1+x) be approximated by 1+x/2 for small x?

  • de1irious
  • · Replies 5 ·
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5

High School L Hospital Rule Explained: Origins & Meaning

  • muzz
  • · Replies 4 ·
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4

Graduate How to Differentiate Cross Product?

  • nabi1995
  • · Replies 3 ·
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3

Undergrad Definition of limit n continuity

  • strugglinginmat
  • · Replies 4 ·
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4

Graduate Continuous functions on Munkres's book

  • bigli
  • · Replies 1 ·
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1

Undergrad How Do You Find the Closest Point on a Surface Using Lagrange Multipliers?

  • CalcDude
  • · Replies 3 ·
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3

Undergrad Max-Min Problem: Finding Max Length Horizontal Bar Around 90 Degree Corner

  • hypermonkey2
  • · Replies 13 ·
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13

Graduate Defining the Product of Linear Functionals: Is It Possible?

  • Klaus_Hoffmann
  • · Replies 5 ·
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5

Undergrad Understanding the False Position Method and Its Iterations

  • ziad1985
  • · Replies 2 ·
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2

Undergrad How Can You Prove If Two Planes Are Perpendicular Analytically?

  • CalcDude
  • · Replies 2 ·
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2

High School How Can I Prove the Reciprocal Derivative Identity?

  • danago
  • · Replies 2 ·
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2

Undergrad Calculus, Stewart - Calculus both Single & Multivariable?

  • rocomath
  • · Replies 3 ·
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3

Graduate Infinite dimensional vectorial (dot) product)

  • Klaus_Hoffmann
  • · Replies 1 ·
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1

Graduate Help understanding proof of isoperimetric inequality

  • Deltinu
  • · Replies 4 ·
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4
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3

Graduate Is Boundedness a Necessity for Double Integral Proofs?

  • engin
  • · Replies 2 ·
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2

Graduate Fourier transform of distributions.

  • Klaus_Hoffmann
  • · Replies 3 ·
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3

Graduate Is Integral Equality Paradox Possible in Mathematics?

  • Klaus_Hoffmann
  • · Replies 12 ·
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12

Graduate Can You Calculate the Derivative of a Function that is a Sum of n Terms?

  • jimmy1
  • · Replies 1 ·
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1

Undergrad How can Newton's method be used to solve exponential equations iteratively?

  • Gin
  • · Replies 2 ·
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2

Undergrad The significance of orthogonal relationships

  • linuspauling
  • · Replies 5 ·
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5

Graduate Geometrical interpretation of Taylor series for sine and cosine?

  • waht
  • · Replies 2 ·
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2

Undergrad What does it mean when critical points have non-real answers?

  • Haroldoo
  • · Replies 1 ·
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1

Graduate Finding Shortest Paths on Surfaces

  • Winzer
  • · Replies 21 ·
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21

Graduate Solve Integral: ln x tan⁻¹⁴ x / 1 + x²

  • nasim
  • · Replies 22 ·
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22

High School Derivatives in my calculus class

  • Haroldoo
  • · Replies 6 ·
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6

Graduate Definitions of Fractional derivative

  • Klaus_Hoffmann
  • · Replies 3 ·
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3

Undergrad Books for Proofs in Limits & Infinite Series Course

  • Aschere
  • · Replies 6 ·
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6

Undergrad Can e be accurately calculated using the limit definition?

  • cmcaulif
  • · Replies 5 ·
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5