Calculus Forum

Post thread
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.

Sub-forums

Differential Equations

Mixed approximation vs. full approximation for a power series expansion
6.8K threads
Undergrad Mixed approximation vs. full approximation for a power series expansion
Undergrad Minimization using Lagrange multipliers
  • TheCanadian
  • · Replies 1 ·
Replies
1
Undergrad Have you ever used "symbolic logic" to help you learn calculus?
  • timmeister37
  • · Replies 5 ·
Replies
5
High School What Does "Curl" Mean in Vector Fields?
  • erocored
  • · Replies 3 ·
Replies
3
Parametric Equation and Euclidean Distance
  • Aleister911
  • · Replies 9 ·
Replies
9
Undergrad Gaussian integral by differentiating under the integral sign
  • murshid_islam
  • · Replies 19 ·
Replies
19
What is the Limit of (3x)/(x-2) as x Approaches 2 from the Left?
  • nycmathdad
  • · Replies 5 ·
Replies
5
Horizontal Asymptote of Rational Function
  • nycmathdad
  • · Replies 20 ·
Replies
20
Is the Limit of 5/(x^2 - 4) as x Approaches 2 from the Right Positive Infinity?
  • nycmathdad
  • · Replies 5 ·
Replies
5
Does the function have a zero in the given interval?
  • nycmathdad
  • · Replies 9 ·
Replies
9
Limit of Trigonometric Function....1
  • nycmathdad
  • · Replies 16 ·
Replies
16
What is the Limit of (5x)/(100 - x) as x Approaches 100 from the Left?
  • nycmathdad
  • · Replies 4 ·
Replies
4
What is the Epsilon-Delta Method for Proving Limits?
  • nycmathdad
  • · Replies 3 ·
Replies
3
Help Desk - Get Answers to Your Questions
  • Tstuvshu
  • · Replies 2 ·
Replies
2
Graduate Index notation and partial derivative
  • sanson
  • · Replies 6 ·
Replies
6
Proving the Squeeze Theorem - Finding Limits Using Squeeze Theorem
  • nycmathdad
  • · Replies 6 ·
Replies
6
High School Sequential Compactness of Sets: A Definition
  • Eclair_de_XII
  • · Replies 10 ·
Replies
10
Finding the domain of this function.
  • cbarker1
  • · Replies 5 ·
Replies
5
What is the best deal for maximum profit?
  • nycmathdad
  • · Replies 7 ·
Replies
7
How to Find the Limit of (1 - x)/[(3 - x)^2] as x Approaches 3?
  • nycmathdad
  • · Replies 5 ·
Replies
5
Limit of Newton's Law of Cooling....1
  • nycmathdad
  • · Replies 10 ·
Replies
10
Limit of Newton's Law of Cooling....2
  • nycmathdad
  • · Replies 3 ·
Replies
3
Finding the Limit of (2x + 1)/(x + 4) at x = -4?
  • nycmathdad
  • · Replies 5 ·
Replies
5
Limit of Trigonometric Function....2
  • nycmathdad
  • · Replies 1 ·
Replies
1
Is graphing the best method for finding the limit of a rational function?
  • nycmathdad
  • · Replies 5 ·
Replies
5
High School Continuation of sequence of supremums question
  • Eclair_de_XII
  • · Replies 9 ·
Replies
9
Undergrad Lebesgue vs Riemann on the rationals
  • BWV
  • · Replies 14 ·
Replies
14
High School Showing that a sequence of supremums of a sequence has these two properties
  • Eclair_de_XII
  • · Replies 4 ·
Replies
4
Undergrad Is there a "First Principles" for integration?
  • cmcraes
  • · Replies 35 ·
2
Replies
35
Graduate How do I solve y*exp(y)=[constant] for J using the Lambert W function?
  • willDavidson
  • · Replies 2 ·
Replies
2
Undergrad How Do You Integrate 1/√(x^3 + x^2 + x + 1) dx?
  • askor
  • · Replies 8 ·
Replies
8
Is the Squeeze Theorem Correctly Applied Here?
  • nycmathdad
  • · Replies 2 ·
Replies
2
How to Use the Squeeze Theorem to Find This Limit?
  • nycmathdad
  • · Replies 2 ·
Replies
2
Calc Solved! Get Quick Help With Your Calculus Q
  • AHMED2021
  • · Replies 1 ·
Replies
1
High School What is the Significance of the Laplace Operator in Vector Calculus?
  • erocored
  • · Replies 6 ·
Replies
6
Why Doesn't the Intermediate Value Theorem Apply to ln(x^2 + 2) on [−2, 2]?
  • nycmathdad
  • · Replies 5 ·
Replies
5
High School Critical points of second derivative
  • songoku
  • · Replies 6 ·
Replies
6
High School Radian measure and real numbers
  • f9CSERS
  • · Replies 9 ·
Replies
9
High School Proof of Chain Rule: Understanding the Limits
  • mcastillo356
  • · Replies 3 ·
Replies
3
Solving Function Expressions h(x): (x+a)2 +b & h-1 Range
  • Help seeker
  • · Replies 7 ·
Replies
7
High School Confusion about Divergence Theorem Step in Tong's Notes
  • etotheipi
  • · Replies 2 ·
Replies
2
High School Does Absolute Value Affect Fraction Equality?
  • askor
  • · Replies 3 ·
Replies
3
High School Derivative of the product of a function by a constant (possible typo)
  • mcastillo356
  • · Replies 1 ·
Replies
1
Undergrad When swapping roots of a polynomial, how to prove discriminant loops?
  • swampwiz
  • · Replies 6 ·
Replies
6
Graduate Valentine’s Reflections: Mathematical Matters of the Heart
  • neilparker62
  • · Replies 6 ·
Replies
6
Graduate Is ##\delta\left(a+bi\right)=\delta\left(a-bi\right)##?
  • Anixx
  • · Replies 3 ·
Replies
3
Graduate Regarding center of mass of an infinite area
  • Anixx
  • · Replies 5 ·
Replies
5
Undergrad Expansion of a complex function around branch point
  • CAF123
  • · Replies 3 ·
Replies
3
High School Why don't we account for the constant in integration by parts?
  • Mayhem
  • · Replies 16 ·
Replies
16
Graduate Summation simpilification process
  • baby_1
  • · Replies 5 ·
Replies
5
Need help with a work related math problem
  • semaxus
  • · Replies 1 ·
Replies
1
Determine the area of a region between two curves defined by algebraic functions
  • sgalos05
  • · Replies 5 ·
Replies
5
Undergrad Error propagation of a variable for an integral
  • Arman777
  • · Replies 6 ·
Replies
6
Undergrad Why does the summation come from?
  • Zap
  • · Replies 11 ·
Replies
11
Undergrad Convergence criterion for Newton-Raphson
  • Kyouran
  • · Replies 9 ·
Replies
9
Undergrad Does Each Component of a Vector Have an Independent Fourier Transform?
  • redtree
  • · Replies 4 ·
Replies
4
Using Chain Rule to Solve Questions - A Step-by-Step Guide
  • EconometricAli
  • · Replies 6 ·
Replies
6
Undergrad Why is the derivative defined as the limit of the quotient?
  • fog37
  • · Replies 13 ·
Replies
13
Undergrad Displacement vs time under a time varying speed limit
  • Stephen Tashi
  • · Replies 7 ·
Replies
7
Can the Series Sum Be Expressed as an Integral as N Approaches Infinity?
  • SatyaDas
  • · Replies 3 ·
Replies
3
Undergrad What does this integral represent?
  • Anixx
  • · Replies 9 ·
Replies
9
Graduate Distance between two uncertain points using haversine?
  • Frank Einstein
  • · Replies 12 ·
Replies
12
Graduate Integral -- Beta function, Bessel function?
  • LagrangeEuler
  • · Replies 1 ·
Replies
1
What is the integral of the Arcus function?
  • Theia
  • · Replies 1 ·
Replies
1
High School Integration of tan^2 x from - to + infinity
  • stringsofphysics
  • · Replies 4 ·
Replies
4
Undergrad How to obtain the determinant of the Curl in cylindrical coordinates?
  • SebastianRM
  • · Replies 3 ·
Replies
3
Equation of Normal to Curve at (1,5): Solved?
  • alexandravo
  • · Replies 4 ·
Replies
4
Undergrad Questions about the arg of complex numbers
  • Santiago24
  • · Replies 4 ·
Replies
4
High School Interpreting Path Ordered Exponentials with Non-Sensical Integration Variables
  • etotheipi
  • · Replies 5 ·
Replies
5
Does my solutions correct? I someone to check.
  • duffymercy
  • · Replies 9 ·
Replies
9
High School Integration from "Area Under Curve" Perspective: Explained
  • songoku
  • · Replies 11 ·
Replies
11
Graduate How do I obtain a set of orthogonal polynomials up to the 7th term?
  • Barracuda
  • · Replies 6 ·
Replies
6
Undergrad Help With a Proof using Contour Integration
  • dm4b
  • · Replies 2 ·
Replies
2
High School An intuitive understanding for derivatives
  • sahilmm15
  • · Replies 10 ·
Replies
10
Undergrad Divergent series sum, versus integral from -1 to 0
  • Swamp Thing
  • · Replies 14 ·
Replies
14
Write function to model combined rate
  • calbeach900
  • · Replies 1 ·
Replies
1
Undergrad Why are analyticity and convergence related in complex analysis?
  • dm4b
  • · Replies 2 ·
Replies
2
Approximation of the integral using Gauss-Legendre quadrature formula
  • mathmari
  • · Replies 6 ·
Replies
6
High School Why is the definite integral of 1/x from -1 to 1 undefined?
  • Saracen Rue
  • · Replies 4 ·
Replies
4
Undergrad How to interpret f(x) tends to g(x)
  • Gaussian97
  • · Replies 13 ·
Replies
13
Nodes and weight of Gauss Quadrature
  • mathmari
  • · Replies 4 ·
Replies
4
Prove: Integral Inequality for Convex Function
  • anemone
  • · Replies 1 ·
Replies
1
Undergrad Extremums of functions: x to the power of x to the power of a
  • some russian guy
  • · Replies 1 ·
Replies
1
High School Is Multivariable Calculus as Fun as Single-Variable Calculus?
  • rohit13
  • · Replies 11 ·
Replies
11
Is an increasing monotonic function in a closed interval also continuous?
  • Lancelot1
  • · Replies 1 ·
Replies
1
Is non continuous function also not Bounded ?
  • Lancelot1
  • · Replies 1 ·
Replies
1
High School Limit of a function raised to a fractional power
  • mcastillo356
  • · Replies 2 ·
Replies
2
Undergrad Can Functions Have Complex Poles Beyond Infinitesimal Limits?
  • dRic2
  • · Replies 10 ·
Replies
10
Undergrad Writing Complex Roots of Negative Numbers
  • Arman777
  • · Replies 1 ·
Replies
1
Undergrad Finding a limit involving Chebyshev polynomials
  • Unconscious
  • · Replies 4 ·
Replies
4
High School Nature of Limits: Learn Calculus Basics w/o Limits Distraction
  • NoahsArk
  • · Replies 13 ·
Replies
13
High School Area Increasing as a linear dimension increases -- Looking for intuition on this
  • NoahsArk
  • · Replies 11 ·
Replies
11
-apc.4.1.2 Find the slope at x=4
  • karush
  • · Replies 7 ·
Replies
7
Graduate Elliptic Integral: Why Is It Called That?
  • LagrangeEuler
  • · Replies 1 ·
Replies
1
High School Find Local Max/Min: 2nd Derivative=0
  • greg_rack
  • · Replies 4 ·
Replies
4
High School Is complex analysis really much easier than real analysis?
  • swampwiz
  • · Replies 4 ·
Replies
4
High School What is the difference between writing f and f(x)?
  • SHASHWAT PRATAP SING
  • · Replies 10 ·
Replies
10
Undergrad Find the domain of a function of the form: ln(sin(1/x))
  • sergey_le
  • · Replies 6 ·
Replies
6
Graduate Creating a Variable Bend in a Function with Preserved Properties
  • Ad VanderVen
  • · Replies 7 ·
Replies
7
Undergrad Operator for the local average of a growing oscillating function
  • Swamp Thing
  • · Replies 2 ·
Replies
2
Calculating Integral with Simpson's Rule for Error < $0.5\cdot 10^{-3}$
  • mathmari
  • · Replies 6 ·
Replies
6