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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.

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Differential Equations

Mixed approximation vs. full approximation for a power series expansion

6.8K threadsApr 17, 2026

Undergrad Mixed approximation vs. full approximation for a power series expansion

Apr 17, 2026

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Graduate Usage of Del in Spherical Polar Coordinates

Dewgale
Nov 7, 2015 · Replies 4 · Nov 8, 2015

Replies: 4

Undergrad Calc II - Disk vs Shell method different volumes

MonkeyDLuffy
Nov 7, 2015 · Replies 1 · Nov 8, 2015

Replies: 1

Undergrad How to Correctly Calculate Partial Differentiation

Kamo123
Nov 7, 2015 · Replies 2 · Nov 7, 2015

Replies: 2

Undergrad Solving Equation with Summation Properties

Jhonny
Oct 29, 2015 · Replies 15 · Nov 7, 2015

Replies: 15

Vector Field Formula for Graph in [-2,2] x [-2,2]

carl123
Nov 6, 2015 · Replies 9 · Nov 6, 2015

Replies: 9

Calculating Fourier Co-Efficent An of an Even Square Function

Metalsie
Nov 6, 2015 · Replies 3 · Nov 6, 2015

Replies: 3

Undergrad Struggling with Calc II? Check out These Top Resources for Help!

mrnike992
Nov 4, 2015 · Replies 2 · Nov 6, 2015

Replies: 2

Undergrad Is There a Flaw in this Student's Calculus Logic?

24forChromium
Nov 5, 2015 · Replies 1 · Nov 5, 2015

Replies: 1

Graduate A possible way to integrate dx^2?

depther
Oct 27, 2015 · Replies 4 · Nov 5, 2015

Replies: 4

Finding all points where tangent line is perpendicular

riri
Nov 5, 2015 · Replies 1 · Nov 5, 2015

Replies: 1

How Do You Find the Derivative of This Function?

riri
Nov 5, 2015 · Replies 3 · Nov 5, 2015

Replies: 3

Graduate Chain rule and multivariable calculus

CAF123
Nov 3, 2015 · Replies 3 · Nov 5, 2015

Replies: 3

Undergrad Splitting Derivative: Rules & Effects in Physics

transmini
Oct 29, 2015 · Replies 9 · Nov 4, 2015

Replies: 9

Undergrad Finding Area Under Curve: Rectangles vs Trapezia

whatisreality
Nov 2, 2015 · Replies 5 · Nov 2, 2015

Replies: 5

Undergrad How to Solve the Exponential of a Matrix?

Sherin
Oct 29, 2015 · Replies 3 · Nov 2, 2015

Replies: 3

Undergrad Integrating over a cross product?

Jonathan K
Nov 2, 2015 · Replies 5 · Nov 2, 2015

Replies: 5

Graduate Complex Integrals, Antiderivatives, Logarithms

Local
Nov 1, 2015 · Replies 2 · Nov 2, 2015

Replies: 2

Graduate Find Sequence Property & Sum Property of ΣnK=1K^-1

Wanted
Oct 28, 2015 · Replies 23 · Oct 30, 2015

Replies: 23

How Does Arcsinh Relate to Arccosh in Trigonometric Transformations?

mathmari
Oct 29, 2015 · Replies 6 · Oct 30, 2015

Replies: 6

Graduate Is there a way to verify that Bivariate Normal correlation?

Ashton
Oct 28, 2015 · Replies 5 · Oct 29, 2015

Replies: 5

Undergrad Minimizing surface area of a shaker

SpanInq
Oct 29, 2015 · Replies 1 · Oct 29, 2015

Replies: 1

Comparing Difference Quotients for Approximating $f'''(x)$

evinda
Oct 25, 2015 · Replies 2 · Oct 28, 2015

Replies: 2

Lowest Cost Airport-Island Ferry: Determine Optimal Route

kcarl
Oct 28, 2015 · Replies 1 · Oct 28, 2015

Replies: 1

Undergrad How Do You Find a Normal Vector to a Graph?

RaulTheUCSCSlug
Oct 25, 2015 · Replies 3 · Oct 28, 2015

Replies: 3

Undergrad Finding the limit of lim w-->wo ((exp(w)-exp(wo))/(w-wo))^-1

thegirl
Oct 27, 2015 · Replies 4 · Oct 27, 2015

Replies: 4

High School Horizontal asymptote:can be touched or not?

gracy
Oct 25, 2015 · Replies 5 · Oct 27, 2015

Replies: 5

Maximizing Profit Function Of Two Variables

MioMio
Oct 27, 2015 · Replies 7 · Oct 27, 2015

Replies: 7

Partial Derivatives: Solving Difficult Problems

Kamo123
Oct 27, 2015 · Replies 3 · Oct 27, 2015

Replies: 3

General question, which formula to use to find derivative?

theothersophie
Oct 18, 2015 · Replies 1 · Oct 27, 2015

Replies: 1

Help with finding Rate of change of f

riri
Oct 21, 2015 · Replies 7 · Oct 26, 2015

Replies: 7

Undergrad Finding the area of a circular strip

Gabe805
Oct 26, 2015 · Replies 2 · Oct 26, 2015

Replies: 2

Undergrad Integration from First Principles

Justin LaRose
Oct 24, 2015 · Replies 6 · Oct 25, 2015

Replies: 6

Graduate Kelvin-Stokes' theorem in the presence of singularities

TubbaBlubba
Oct 23, 2015 · Replies 5 · Oct 25, 2015

Replies: 5

-z.57 dx formula that estimates the change

karush
Oct 23, 2015 · Replies 1 · Oct 23, 2015

Replies: 1

Graduate What are generic terms for integration/summation parameters?

swampwiz
Oct 22, 2015 · Replies 3 · Oct 23, 2015

Replies: 3

I need the book's title? (figure given from the book)

Vigan
Oct 23, 2015 · Replies 1 · Oct 23, 2015

Replies: 1

Undergrad Alternative examples, alternating series test

Abscissas
Oct 22, 2015 · Replies 40 · Oct 23, 2015

2

Replies: 40

Linearization of sqrt(x+1) +sin x at x=0

karush
Oct 23, 2015 · Replies 4 · Oct 23, 2015

Replies: 4

Graduate Understanding transition from full derivative to partial

TheCanadian
Oct 21, 2015 · Replies 1 · Oct 21, 2015

Replies: 1

Finding the Bounds for Evaluating a Triple Integral

carl123
Oct 21, 2015 · Replies 1 · Oct 21, 2015

Replies: 1

Find the mass and center of mass of the lamina

carl123
Oct 21, 2015 · Replies 3 · Oct 21, 2015

Replies: 3

Sketch the curve with the given polar equation. θ = −pi/6?

carl123
Oct 21, 2015 · Replies 4 · Oct 21, 2015

Replies: 4

Graduate Fourier Transform: Nonperiodic vs Periodic Signals

RaduAndrei
Oct 17, 2015 · Replies 5 · Oct 21, 2015

Replies: 5

Derivative of s with respect to t when y is constant

karush
Oct 20, 2015 · Replies 9 · Oct 21, 2015

Replies: 9

Undergrad Spivak calculus, page 22( 3rd edition).

Alpharup
Oct 20, 2015 · Replies 7 · Oct 20, 2015

Replies: 7

Graduate How do you Treat Infinitesimals?

TheDemx27
Oct 18, 2015 · Replies 9 · Oct 20, 2015

Replies: 9

Undergrad Is y=x^2 enough to prove the third statement incorrect?

Zhang Jiawen
Oct 20, 2015 · Replies 1 · Oct 20, 2015

Replies: 1

One-Sided Limit of Sin(x)/x at x=0

spartas
Oct 19, 2015 · Replies 1 · Oct 19, 2015

Replies: 1

How Do You Calculate the Kinetic Energy of a Spinning Triangular Metal Sheet?

carl123
Oct 16, 2015 · Replies 1 · Oct 19, 2015

Replies: 1

Graduate Why can I express Fourier coefficients as an = An*sin() and bn = An*cos()?

RaduAndrei
Oct 18, 2015 · Replies 4 · Oct 18, 2015

Replies: 4

Graduate Integration of complex exponentials

spaghetti3451
Oct 18, 2015 · Replies 1 · Oct 18, 2015

Replies: 1

Graduate What is the double integral setup for kinetic energy in part (b)?

carl123
Oct 17, 2015 · Replies 6 · Oct 17, 2015

Replies: 6

Graduate Understanding the Integral Limitations and Conversions in Polar Coordinates

Freya
Oct 17, 2015 · Replies 3 · Oct 17, 2015

Replies: 3

Undergrad Struggling with Linearization and Differentials?

in the rye
Oct 15, 2015 · Replies 10 · Oct 17, 2015

Replies: 10

Undergrad Integrating differential equations that have ln

ecoo
Oct 16, 2015 · Replies 4 · Oct 17, 2015

Replies: 4

Optimisation Problem (Global extreme points)

Foosey96
Oct 16, 2015 · Replies 1 · Oct 16, 2015

Replies: 1

Graduate Approximation of second derivative of a smooth function

TheCanadian
Oct 16, 2015 · Replies 1 · Oct 16, 2015

Replies: 1

Undergrad Gradients vs. Partial Derivatives

shanepitts
Oct 11, 2015 · Replies 3 · Oct 16, 2015

Replies: 3

Undergrad Confused by Integration in Polar Coordinates: Why Use This Unfamiliar Method?

Abdul.119
Oct 15, 2015 · Replies 5 · Oct 16, 2015

Replies: 5

Graduate Understanding the Polar-Cartesian Relationship in Jacobian Calculus

subinator
Oct 15, 2015 · Replies 4 · Oct 15, 2015

Replies: 4

Undergrad Volume of a Hollow Cylinder vs Cylindrical Shell

CStudy
Oct 15, 2015 · Replies 4 · Oct 15, 2015

Replies: 4

Graduate Is there an error in my coordinate system transformation and vector matching?

tub08918
Oct 14, 2015 · Replies 4 · Oct 15, 2015

Replies: 4

Graduate Functional equation Riemann Zeta function

Lapidus
Oct 15, 2015 · Replies 1 · Oct 15, 2015

Replies: 1

Using Reimann sum to estimate the value of a double integral

carl123
Oct 14, 2015 · Replies 1 · Oct 15, 2015

Replies: 1

Volume of Parabolic Cylinder in 1st Octant: 710/3

carl123
Oct 14, 2015 · Replies 1 · Oct 15, 2015

Replies: 1

Volume of solid in first octant

carl123
Oct 14, 2015 · Replies 1 · Oct 15, 2015

Replies: 1

Undergrad Derivative operator on both sides

pyroknife
Oct 14, 2015 · Replies 5 · Oct 15, 2015

Replies: 5

Undergrad Calc 1 practice exam question -- finding the y intercept of the tangent line

J.J.T.
Oct 13, 2015 · Replies 6 · Oct 14, 2015

Replies: 6

Graduate Plancherel Theorem (Fourier transform)

Incand
Oct 12, 2015 · Replies 4 · Oct 14, 2015

Replies: 4

Undergrad Integration by Parts: \int{\sin{(\theta)}*\cos{(\theta)}*d\theta}

Philosophaie
Oct 14, 2015 · Replies 5 · Oct 14, 2015

Replies: 5

Graduate Best Method for Calculating % Error Between Two Curves?

member 428835
Oct 13, 2015 · Replies 8 · Oct 14, 2015

Replies: 8

Undergrad Instances where Logarithmic Differentiation doesn't work?

in the rye
Oct 14, 2015 · Replies 1 · Oct 14, 2015

Replies: 1

Graduate Calculate divergence of <y^2,z^2,x^2> in cylindrical coords

tub08918
Oct 14, 2015 · Replies 5 · Oct 14, 2015

Replies: 5

Graduate Volume Integrals: What Am I Integrating?

whatisreality
Oct 12, 2015 · Replies 4 · Oct 14, 2015

Replies: 4

Graduate Solve Convolution Systems: Integrate Impulse Response & Input

STEMucator
Oct 13, 2015 · Replies 3 · Oct 14, 2015

Replies: 3

Graduate What is the Euler's stand on infinitesimals?

Vinay080
Oct 2, 2015 · Replies 9 · Oct 13, 2015

Replies: 9

Graduate How Many Limit Points Does This Function Have?

Zhang Jiawen
Oct 12, 2015 · Replies 2 · Oct 12, 2015

Replies: 2

Graduate Quaternion Derivative: Product Rule Explained

abhiroop_k
Sep 28, 2015 · Replies 7 · Oct 12, 2015

Replies: 7

Undergrad Proving the Inequality: sin(x) < x for x > 0

nos
Oct 11, 2015 · Replies 3 · Oct 11, 2015

Replies: 3

Help with integral (Rodriquez formula)

ognik
Oct 6, 2015 · Replies 2 · Oct 11, 2015

Replies: 2

Undergrad Real integral=area , complex integral= ?

dyn
Oct 10, 2015 · Replies 5 · Oct 11, 2015

Replies: 5

Undergrad Is There a Fundamental Theorem of Calculus for Squared Derivatives?

Bruno Tolentino
Oct 10, 2015 · Replies 1 · Oct 10, 2015

Replies: 1

Graduate Questions related to an unknown function given its values at some points

Sujith Sizon
Oct 10, 2015 · Replies 1 · Oct 10, 2015

Replies: 1

Graduate Cycle/closed integration question

Jamessamuel
Oct 10, 2015 · Replies 1 · Oct 10, 2015

Replies: 1

Possible title: How do I solve this definite integral evaluation?

juantheron
Oct 9, 2015 · Replies 1 · Oct 10, 2015

Replies: 1

Undergrad Proof of Prop: Does a=b for all x in R3?

nicolauslamsiu
Oct 9, 2015 · Replies 3 · Oct 9, 2015

Replies: 3

Undergrad Understanding the Application of Chain and Product Rules in Calculus

Anon.ilbe
Oct 8, 2015 · Replies 1 · Oct 8, 2015

Replies: 1

Undergrad Integral of trig functions over a period

Sturk200
Oct 6, 2015 · Replies 8 · Oct 8, 2015

Replies: 8

Graduate Curvilinear coordinate, derivative

kidsasd987
Oct 8, 2015 · Replies 1 · Oct 8, 2015

Replies: 1

Why Do Fourier Series Integrations Often Use Different Variables of Integration?

ognik
Oct 7, 2015 · Replies 3 · Oct 8, 2015

Replies: 3

What is the height of the cliff in this scenario?

ramz
Oct 7, 2015 · Replies 6 · Oct 7, 2015

Replies: 6

Inequality: $$-\frac{22}{24}h^2 ||f^{(4)}||_{\infty}\leq 0$$

mathmari
Oct 7, 2015 · Replies 3 · Oct 7, 2015

Replies: 3

Graduate Who invented differential calculus for rational functions?

Vinay080
Oct 6, 2015 · Replies 1 · Oct 7, 2015

Replies: 1

Graduate Z=x+iy; f(z)=u+iv; f'(z)=?; Cauchy-Riemann Conditions

Odious Suspect
Oct 1, 2015 · Replies 9 · Oct 7, 2015

Replies: 9

Graduate Question about partial derivatives.

BigFlorida
Oct 6, 2015 · Replies 3 · Oct 6, 2015

Replies: 3

Graduate Curl and Convective Derivative

Hercuflea
Oct 5, 2015 · Replies 1 · Oct 6, 2015

Replies: 1

Undergrad What is the correct second derivative for implicit differentiation of r^2 = x^2?

K41
Oct 5, 2015 · Replies 4 · Oct 5, 2015

Replies: 4

Find Inverse of f(x) = ln(x-1)

spartas
Oct 4, 2015 · Replies 1 · Oct 4, 2015

Replies: 1

Order of Accuracy for $\frac{f(x+2h)-f(x)}{2h}$ - Wave

evinda
Oct 4, 2015 · Replies 2 · Oct 4, 2015

Replies: 2

What Is the Closest Point on the Plane x − y + z = 8 to (1, 3, 6)?

carl123
Oct 2, 2015 · Replies 2 · Oct 2, 2015

Replies: 2

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Calculus

Welcome to the Calculus forum!

Calculus is a branch of mathematics that focuses on the study of continuous change and motion.

It comprises two primary branches: differential calculus, which examines rates of change and slopes of curves, and integral calculus, which deals with accumulation and the calculation of areas under curves. Developed independently by Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century, calculus has become a fundamental tool in various scientific and engineering disciplines.

It provides a powerful framework for analyzing and modeling dynamic processes, such as motion, growth, and decay, and forms the basis for understanding concepts like derivatives and integrals, essential for advanced mathematical and scientific studies.

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