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

High School Is the Function f(x) = x + 2 Unlimited on the Set of Real Numbers?

  • Дьявол
  • · Replies 12 ·
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12

Undergrad Are complex logarithm rules the same as real number rules?

  • daudaudaudau
  • · Replies 6 ·
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6

Undergrad Shell method VS washer/disk method

  • Pixleateit
  • · Replies 2 ·
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2

Undergrad How does a Taylor series relate to power series and why use it?

  • toni
  • · Replies 4 ·
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4

Graduate Can the Integral of e^(ax) - e^(bx) be Simplified?

  • eof
  • · Replies 4 ·
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4

High School Using L'Hospital's Rule for Solving Limits: What Are the Steps?

  • KAS90
  • · Replies 5 ·
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5

Undergrad Dividing curve area in to equal parts?

  • pjunky
  • · Replies 3 ·
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3

Undergrad How many Newton-Raphson iterations needed for 5 decimal places?

  • jvignacio
  • · Replies 2 ·
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2

Undergrad Finding separation rate of train and motorboat under a bridge

  • sabrina_m33
  • · Replies 17 ·
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17

High School Sin wave Maximun/minimum finding?

  • pjunky
  • · Replies 6 ·
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6

Undergrad Can Calculus Perfectly Model Nature?

  • GRB 080319B
  • · Replies 2 ·
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2

Graduate Is the Graph of a Function Compact if the Function is Continuous?

  • math8
  • · Replies 9 ·
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9

Undergrad What is the Sum of a Finite Sine Series?

  • shehry1
  • · Replies 3 ·
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3

Graduate Difficult Problem proving limsup of a sequence.

  • PhysicsHelp12
  • · Replies 1 ·
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1

Graduate [Q]differential equation of mechanics.

  • good_phy
  • · Replies 4 ·
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4

Graduate Reconstruction of vector field from spherical harmonic coefficients

  • ronslow
  • · Replies 1 ·
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1

Graduate Can Term by Term Integration Give a Wrong Answer for Integrable Functions?

  • elfboy
  • · Replies 1 ·
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1

Graduate Can a Continuous Function Fail to be Riemann-Integrable?

  • Nusc
  • · Replies 6 ·
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6

Graduate What does divergence physically represent in a vector field?

  • Nick R
  • · Replies 6 ·
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6

Graduate Why Do We Need to Show M - Epsilon < x_k in the Monotone Sequence Theorem Proof?

  • pantin
  • · Replies 4 ·
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4

Graduate PROVING INTERSECTION OF Any number of COMPACT SETS is COMPACT?

  • PhysicsHelp12
  • · Replies 4 ·
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4

Undergrad Iota Squared: Mathematical Proof and Physical Meaning

  • mkbh_10
  • · Replies 4 ·
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4

Graduate Limit of [f(x+h)+f(x-h)-2f(x)]/h² without f''(x)

  • TaylorWatts
  • · Replies 6 ·
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6

High School Solving Even Exponent Equations: y=x^6 for x

  • kingwinner
  • · Replies 7 ·
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7

Graduate Why Does Iteration Method Give Asymptotic Solution for x = \epsilon \log(1/x)?

  • rsq_a
  • · Replies 5 ·
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5

Undergrad Why do statistics and calculus textbooks define inverse functions differently?

  • kingwinner
  • · Replies 6 ·
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6

Undergrad What Is the Ratio of the Height to Radius in a Draining Cone Filter?

  • Cyto
  • · Replies 6 ·
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6

Graduate Weakly Convergent l^p Sequences: Boundedness and Convergence in C

  • e12514
  • · Replies 1 ·
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1

Undergrad Chain rule for composite functions with substitution

  • kingwinner
  • · Replies 5 ·
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5

Undergrad How do you integrate udu/du?

  • rhuelu
  • · Replies 3 ·
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3

Undergrad Meaning of the notation df[g(x)]/dx in chain rule

  • kingwinner
  • · Replies 4 ·
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4

Undergrad Long division of polynomials

  • austin1250
  • · Replies 1 ·
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1

Undergrad What is the limit for Sin(1/x^n)?

  • janakiraman
  • · Replies 3 ·
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3

Graduate What is the definition of a limit in real analysis?

  • GoldPheonix
  • · Replies 6 ·
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6

High School What Is the Missing Term in the Sequence -1, 5, 2 to Form a Geometric Series?

  • paulbdiggs
  • · Replies 2 ·
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2

Undergrad Intergration to find work is from 0 to Y

  • d_b
  • · Replies 2 ·
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2

Graduate Is Every Subset of a Compact Set Compact?

  • variety
  • · Replies 1 ·
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1

Graduate Delta Epsilon Limit Proof - f(x,y) = xy

  • JeffNYC
  • · Replies 4 ·
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4

Graduate Integration of Taylor Series with Higher Derivatives

  • okkvlt
  • · Replies 2 ·
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2

Undergrad How can I assign a derivative in Mathematica using D-notation?

  • daudaudaudau
  • · Replies 2 ·
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2

Undergrad Limit Theorem: Solving \lim_{n \to \infty} \cos( \frac{2 \pi}{2n - 2} )^n = 1

  • andrewm
  • · Replies 5 ·
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5

Undergrad How Do You Parameterize Curves for Line Integrals in Complex Numbers?

  • chota
  • · Replies 2 ·
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2

Undergrad Derivative of constant function - proof

  • twoflower
  • · Replies 8 ·
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8

Graduate Integrals over an infinite range (using residue theorem)

  • vertices
  • · Replies 10 ·
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10

Graduate Integrate by parts because of two functions

  • Cyrus
  • · Replies 5 ·
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5

Undergrad Area of a triangle in 3 space using cross product

  • jlemus85
  • · Replies 1 ·
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1

Graduate Spectral theorem for discontinuous operators

  • jdstokes
  • · Replies 5 ·
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5

Graduate What Are the Units When e Is Raised to a Power with Mass?

  • bluestar
  • · Replies 6 ·
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6

Graduate How Does Regularizing Measures Relate to Rudin's Analysis?

  • lark
  • · Replies 6 ·
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6

High School Is Y^a/Y Equal to 1/Y^1-a in Mathematics?

  • albert2008
  • · Replies 1 ·
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1

Graduate Derivative of arctan(z) for complex z

  • daudaudaudau
  • · Replies 10 ·
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10

High School How to find the normal at a point on a circle

  • SallyGreen
  • · Replies 11 ·
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11

Undergrad What is Real Analysis and How Does it Compare to Calculus?

  • khemix
  • · Replies 8 ·
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8

Graduate Whats the name of this function?

  • granpa
  • · Replies 3 ·
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3

Graduate Clairaut's Theorem: Continuous 1st Derivatives?

  • alexio
  • · Replies 1 ·
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1

Undergrad Is Sin n a Non-Monotonic Function?

  • garyljc
  • · Replies 2 ·
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2

Graduate What is the Unclear Step in this Random Sampling Proof?

  • rwinston
  • · Replies 1 ·
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1

Graduate Epsilon-Delta Definition to prove the L'Hopital's Rule

  • prasannaworld
  • · Replies 1 ·
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1

Graduate Proving Convergence of x^x to 1 at x->0

  • prasannaworld
  • · Replies 1 ·
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1

Graduate Does Convergence in Measure Always Guarantee Almost Uniform Convergence?

  • Thorn
  • · Replies 2 ·
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2

Undergrad U ^ 5/2 /5/2 - u^ 1/2/3/2 +c intergration

  • morbello
  • · Replies 2 ·
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2

Graduate Proving A is Contained in M or N of Disconnected X

  • math8
  • · Replies 3 ·
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3

Graduate Simplifying sum of binomial coefficients with gamma function

  • epkid08
  • · Replies 1 ·
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1

Undergrad Convergent Integrals: Best Place to Start?

  • Somefantastik
  • · Replies 1 ·
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1

Graduate Limit Superior - Equivalent Definitions

  • e(ho0n3
  • · Replies 2 ·
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2

Undergrad What do multiple integrals do to a function?

  • Grogerian
  • · Replies 1 ·
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1

Graduate Is A Closed If Not Open in Topological Space?

  • math8
  • · Replies 4 ·
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4

Undergrad Solving Iteration Function Problem with A, B, and C

  • MrReds
  • · Replies 1 ·
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1

Graduate What is the integral of arg[f(x)]dx for x∈ℝ?

  • epkid08
  • · Replies 1 ·
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1

Undergrad Scalar Product of a diffrential.

  • raisin_raisin
  • · Replies 1 ·
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1

Graduate Converting epsilon-delta to N-M form for infinite limits

  • prasannaworld
  • · Replies 2 ·
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2

Graduate What is the Integration Strategy for Arctan (sqrt(x)) and Arcsin (sqrt(x))?

  • albireo
  • · Replies 1 ·
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1

Graduate Is the metric space Q of rationals homeomorphic to N, the natural numbers?

  • gmn
  • · Replies 10 ·
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10

Undergrad Is the derivative of e^x exactly e^x or approximate?

  • The_ArtofScience
  • · Replies 3 ·
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3

High School Finding a comment about l'Hôpital and Leibniz's followers

  • Galadirith
  • · Replies 1 ·
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1

Graduate Where can I find challenging functional analysis problems for self-study?

  • maze
  • · Replies 3 ·
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3

Undergrad Finding Tangent Planes and Normal Vectors to Surfaces

  • JFonseka
  • · Replies 6 ·
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6

Undergrad What Is Integration by Recognition and How Is It Used?

  • adoado
  • · Replies 2 ·
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2

Undergrad Calculating Vector Length Using Contour Lines

  • 2RIP
  • · Replies 1 ·
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1

Graduate How can I solve Fredholm Integral Equations?

  • apalmer3
  • · Replies 1 ·
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1

Graduate How Can You Solve the Integral of exp(-t) times cos^2(t)?

  • Somefantastik
  • · Replies 2 ·
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2

Undergrad Derivative of square roots and composition functions

  • tmoney369
  • · Replies 1 ·
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1

Graduate Pointwise => uniform convergence when?

  • St41n
  • · Replies 5 ·
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5

Graduate Metric space versus Topological space

  • infinityQ
  • · Replies 5 ·
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5

Graduate Is Complex Conjugate Integration Valid on Contour |z|=1?

  • hoffmann
  • · Replies 1 ·
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1

Graduate If C is the Cantor set, C+C contains an open set.

  • WHOAguitarninja
  • · Replies 1 ·
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1

Graduate Fourier Transform, Delta Function

  • darkSun
  • · Replies 7 ·
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7

Graduate The relationship between con't function and a compact set

  • pantin
  • · Replies 2 ·
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2

Graduate Is con't fn maps compact sets to compact sets converse true?

  • pantin
  • · Replies 3 ·
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3

Graduate Newton's Method of Solving Non-linear Systems Questions

  • EWW
  • · Replies 1 ·
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1

Undergrad Circle tangent to 2x-y+1=0 at (2,5) with center on x+y=9

  • JeNNeHJo
  • · Replies 3 ·
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3

Graduate Trouble with a tangent series expansion

  • iatnogpitw
  • · Replies 1 ·
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1

Graduate Can we justify selecting an integer in between two reals in Rudin 1.20 Theorem?

  • Unassuming
  • · Replies 9 ·
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9

Graduate Fourier Analysis, definition of convolution

  • Narcol2000
  • · Replies 6 ·
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6

Undergrad Proving Inequality: a1 + a2 + · · · + an−1 + an

  • hypermonkey2
  • · Replies 3 ·
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3

Undergrad How does L^-α become L^α when multiplying by L?

  • albert2008
  • · Replies 5 ·
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5

Undergrad What is the Curvature of a Helix Given by a Parametric Equation?

  • LRP0790
  • · Replies 1 ·
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1

Undergrad Finding the derivitive using limits?

  • ne12o
  • · Replies 3 ·
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3

Graduate Calculating Curl With Index Notation

  • poonintoon
  • · Replies 5 ·
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5

Undergrad How do you solve 'unknown power' in an equation

  • edmondng
  • · Replies 12 ·
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12