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

Undergrad Derivative of Position w/r/t Time vs Derivative of Time w/r/t Position

  • Femme_physics
  • · Replies 6 ·
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6

Undergrad Can Calculus Predict Stock Market Trends?

  • Mgt3
  • · Replies 24 ·
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24

Undergrad Trigonometric substitution - Why?

  • Runei
  • · Replies 13 ·
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13

Graduate Has the Completeness Axiom Been Disproved?

  • mathbuster
  • · Replies 23 ·
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23

Graduate Is the Completeness Axiom Equivalent to the Heine Borel Theory?

  • autobot.d
  • · Replies 6 ·
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6

Graduate Is the Infinite Derivative of a Function Equal to Zero?

  • Dauden
  • · Replies 6 ·
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6

Graduate Does it exist and is it continuous? (exact)

  • nonequilibrium
  • · Replies 6 ·
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6

High School CIE Further Maths (9231) Cheat Sheet - Formulas + Derivatives + Integrals

  • rdajunior95
  • · Replies 7 ·
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7

Graduate F(x) of a taylor series that looks a lot like an exponential

  • donifan
  • · Replies 7 ·
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7

Undergrad Find the nth term of 1/3+4/243+1/243+16/19,683?

  • GiannaMe'arah
  • · Replies 1 ·
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1

Undergrad How can the Euler formula be used to derive the properties of rotating vectors?

  • Fjolvar
  • · Replies 3 ·
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3

Graduate Is \( f(x,y) = \sqrt{|xy|} \) Differentiable at \( (0,0) \)?

  • Buri
  • · Replies 2 ·
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2

High School Good book for single snd multivariable calculus needed

  • tiklu123
  • · Replies 4 ·
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4

High School Beginner having trouble taking derivative

  • Heinz21
  • · Replies 2 ·
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2

Graduate Convolution of discrete and continuous time signals

  • swuster
  • · Replies 1 ·
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1

Graduate Reflexivity of L^p and its Implications for Integration

  • Goklayeh
  • · Replies 2 ·
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2

Graduate Is There a Mistake in Rudin's Analysis Regarding Closed Sets?

  • jessicaw
  • · Replies 2 ·
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2

Undergrad Integrals By Parts With Infinity As Limit

  • kloong
  • · Replies 3 ·
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3

Graduate Are Closed and Open Balls in Topology as Simple as They Seem?

  • kntsy
  • · Replies 8 ·
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8

Graduate Integrating 2-forms over a parameterised surface

  • Rasalhague
  • · Replies 4 ·
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4

Graduate Is (0,\infty) a Complete Metric Space?

  • AxiomOfChoice
  • · Replies 5 ·
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5

High School Square root of 4.1- do you have to use calculus?

  • Femme_physics
  • · Replies 10 ·
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10

Undergrad Is empty set open?bounded?perfect?compact?

  • kntsy
  • · Replies 12 ·
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12

Graduate Maximums and Minimums: Why is the Lower Limit Not 1 in This Set?

  • hitmeoff
  • · Replies 4 ·
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4

Graduate Proving Disjointness of Open Intervals in E Subset of R

  • mynameisfunk
  • · Replies 3 ·
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3

High School Confused about equations with absolute values

  • Nat3
  • · Replies 3 ·
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3

Undergrad How do we prove the existence of a limit for defining e?

  • DkayD
  • · Replies 4 ·
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4

Graduate Double pendulum velocity derivation

  • TheFerruccio
  • · Replies 2 ·
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2

Undergrad Solving Finite Series with Real Y

  • ahmadmath
  • · Replies 7 ·
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7

Graduate Critical points of maps f:R^n->R^m , m>1

  • Bacle
  • · Replies 3 ·
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3

Undergrad How to maximize a multivariable equation?

  • DyslexicHobo
  • · Replies 1 ·
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1

Graduate Jacobians of 2-space to 3-space Transformation

  • yungman
  • · Replies 3 ·
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3

Graduate Riemann integrability of composite functions

  • darkreignmoon
  • · Replies 1 ·
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1

Graduate What are they doing here? (polynomials-functions)

  • nalkapo
  • · Replies 4 ·
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4

Undergrad What is the value of 1 to the power of infinity?

  • Ralph Spencer
  • · Replies 3 ·
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3

High School Learning Calculus: Chain Rule and Derivatives

  • MotoPayton
  • · Replies 6 ·
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6

Graduate Does Compactness Depend on Metric Choice in Metric Spaces?

  • JG89
  • · Replies 3 ·
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3

Graduate Forming a Laurent Series for 4cos(z*pi) / (z-2i)

  • Dissonance in E
  • · Replies 1 ·
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Undergrad Limit of a Sequence: Wayne's Inquiry

  • wayneckm
  • · Replies 1 ·
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1

Graduate Quotient of infinitesimals indeterminate?

  • Rasalhague
  • · Replies 6 ·
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6

Undergrad Proving Limits Using Delta-Epsilon Method

  • haushofer
  • · Replies 9 ·
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9

Graduate Differentials of variable substitution

  • CantorSet
  • · Replies 2 ·
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2

Undergrad How to prove ln(x) < sqrt(x) for all x>0

  • grossgermany
  • · Replies 11 ·
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11

Graduate The Basel Problem: A Solid Solution Using Derivatives and Integrals

  • hover
  • · Replies 3 ·
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3

Undergrad Prove ln(x) < sqrt(x) for all x>0

  • grossgermany
  • · Replies 2 ·
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2

Graduate So what exactly is an osculating plane? r'(t) X r (t)? Am I right?

  • Hellken
  • · Replies 1 ·
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1

Graduate Fourier Transform justification

  • Manchot
  • · Replies 18 ·
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18

Graduate Does the existence of a limit at x=0 prove the existence of f'(0)?

  • Demon117
  • · Replies 3 ·
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3

Graduate Closed and Open sets in R (or 'clopen')

  • Bleys
  • · Replies 1 ·
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1

Graduate Can a Countable Intersection of Infinitesimal Balls be Bounded Away from 0?

  • jem05
  • · Replies 9 ·
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9

Graduate Question on meaning of some symbols

  • yungman
  • · Replies 4 ·
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4

Graduate Why is the integral of the Dirac delta distribution equal to unity?

  • SW VandeCarr
  • · Replies 5 ·
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5

Graduate Integration of funtion multiplied by shifted heavyside step

  • SpaceDomain
  • · Replies 2 ·
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2

Undergrad What Causes Undefined Derivatives in Trigonometric Functions?

  • Nick_OCD
  • · Replies 2 ·
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2

Graduate Non-convergence written with sets

  • cuak2000
  • · Replies 1 ·
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1

Graduate The Boundary of a Countable Union of Almost Disjoint Cubes

  • Dr_Noface
  • · Replies 2 ·
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2

Graduate Proof of Bolzano-Weierstrass theorem using Axiom of Completeness.

  • kindlychung
  • · Replies 1 ·
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1

Graduate Solve Very Hard Inequality: a,t in (0,1)

  • Nedeljko
  • · Replies 8 ·
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8

Graduate Cardinality of an interval of rationals

  • kindlychung
  • · Replies 3 ·
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3

Undergrad Is 1/4 in the Cantor Set? An Exploration of Proofs and Characteristics

  • mynameisfunk
  • · Replies 2 ·
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2

Graduate Does Convergence of ln(a) to ln(b) Imply a Converges to b?

  • GhostSpirit
  • · Replies 3 ·
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3

High School The explanation of the domain of two variable function

  • sayed5555
  • · Replies 2 ·
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2

Graduate Applying Cauchy's Integral Formula to Higher Power Denominators

  • Dissonance in E
  • · Replies 3 ·
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3

Undergrad How Do You Calculate the Volume of Liquid in a Partially Filled Conical Glass?

  • skiing4free
  • · Replies 3 ·
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3

Graduate Operations Involving Law of Sines and multiple Unknown Values

  • Liquid7800
  • · Replies 7 ·
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7

Undergrad Are Uninformed Replies Hindering My Understanding of Inversion in Geometry?

  • esisk
  • · Replies 1 ·
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1

Undergrad Can Lower Bound of Summation Be Any Real Number?

  • smslca
  • · Replies 2 ·
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2

Graduate How Does Rolle's Theorem Apply to Intersecting Planes in Vector Calculus?

  • monea83
  • · Replies 1 ·
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1

Graduate How can I use inversion in a circle to simplify a problem?

  • esisk
  • · Replies 1 ·
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1

Undergrad Integrate the following equation f=exp(m*x) dx where x =[x1 , x2]

  • jetzt
  • · Replies 4 ·
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4

Graduate Which Textbook Is Best for Learning Several Complex Variables?

  • Knissp
  • · Replies 3 ·
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3

Graduate Complex Analysis: Examples & Questions Solved with Poisson's & Cauchy's Formulas

  • esisk
  • · Replies 1 ·
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1

Undergrad Diverging and converging infinite series

  • eptheta
  • · Replies 4 ·
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4

High School Checking My Work: Tips for Finding Limits

  • MikeX47
  • · Replies 1 ·
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1

Undergrad Integration to find volume generated

  • shyta
  • · Replies 1 ·
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1

Graduate Lebesgue Integration: Finite Measure Not Sufficient

  • wayneckm
  • · Replies 2 ·
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2

High School Help Needed: Struggling to Get Started with Physics

  • mynameisfunk
  • · Replies 9 ·
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9

Undergrad Introduction / Summary of Differentiation

  • Hootenanny
  • · Replies 36 ·
2
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36

Undergrad What is the true meaning of infinity in Archimedes' work?

  • shredder99
  • · Replies 19 ·
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19

High School How do I factor a trinomial with x^3?

  • jacksonbobby5
  • · Replies 1 ·
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1

Undergrad Is Infinity to the Power of 1 Over Infinity Indeterminate?

  • MysticDude
  • · Replies 9 ·
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9

Undergrad Why is the integration constant excluded when finding v in integration by parts?

  • Fizex
  • · Replies 2 ·
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2

Undergrad How Does the Conjugate of e^(it) Extend to e^(-it)?

  • Dissonance in E
  • · Replies 2 ·
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2

Graduate Can anyone help me proofing this? This is not homework.

  • yungman
  • · Replies 2 ·
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2

Undergrad Book recommendation for vector calculus.

  • Fjolvar
  • · Replies 2 ·
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2

Graduate Is the Cantor Set the Only Example of a Totally Disconnected Set?

  • lugita15
  • · Replies 12 ·
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12

Graduate Uniqueness theorem for power series

  • snipez90
  • · Replies 1 ·
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1

Graduate Angle between two surfaces and gradient

  • xanadu
  • · Replies 2 ·
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2

Graduate Do derivatives always exist in a neighborhood?

  • slamminsammya
  • · Replies 1 ·
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1

Undergrad Unique solution of 1st order autonomous, homogeneous DE

  • Pietair
  • · Replies 6 ·
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6

High School What do I need to know to start Calculus?

  • Femme_physics
  • · Replies 7 ·
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7

Graduate Can poles on the contour still be used with the residue theorem?

  • quasar_4
  • · Replies 23 ·
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23

Graduate Integral of exponential absolute functions

  • Wishe Deom
  • · Replies 3 ·
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3

Graduate Showing a (complex) series is (conditionally) convergent.

  • shoescreen
  • · Replies 1 ·
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1

Graduate What Happens When You Divide a Vector by Its Zero Magnitude?

  • yungman
  • · Replies 8 ·
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8

Graduate Showing Convergence: 0<β<1, n*β^n -> 0

  • St41n
  • · Replies 1 ·
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1

Graduate Integral of dirac delta function at x=0

  • vsravani
  • · Replies 3 ·
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3

Undergrad Why Ignore the Integration Constant in ∫xcos(x) dx?

  • MHD93
  • · Replies 6 ·
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6

Undergrad Integration with Trigonometric Substitution

  • dollarbills10
  • · Replies 5 ·
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5

Graduate What is derivative of a vector respect to another vector?

  • yungman
  • · Replies 6 ·
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6