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
Graduate Hi,I need a conformal mapping that changes the superellipse to an
  • arsalan1
  • · Replies 6 ·
Replies
6
Graduate Let's say I have something like[tex]d^2 u / d x^2 = u + u^2 /
  • grav-universe
  • · Replies 6 ·
Replies
6
Undergrad Why is the Limit 0+ Used in the Evaluation of This Improper Integral?
  • marellasunny
  • · Replies 4 ·
Replies
4
Undergrad Calculus, Definition of limit, Concept
  • c.teixeira
  • · Replies 12 ·
Replies
12
Undergrad Distance Between Two Parallel Plans
  • Erikh86
  • · Replies 2 ·
Replies
2
Graduate Suff. condition for exact differential - PROOF?
  • Trave11er
  • · Replies 4 ·
Replies
4
Graduate Integration of dx^2: A Medical Doctor's Exploration
  • drwajih
  • · Replies 8 ·
Replies
8
How to Compute the Line Integral Over a Piecewise Curve?
  • aruwin
  • · Replies 1 ·
Replies
1
Graduate Can a finite series like this be evaluated?
  • Hertz
  • · Replies 15 ·
Replies
15
Graduate A conflicting result of Euler's formula
  • Undoubtedly0
  • · Replies 5 ·
Replies
5
Undergrad How to Find Nearest Points on a Curve to the Origin?
  • A Malik
  • · Replies 1 ·
Replies
1
Undergrad How Crucial Are Differentials in Calculus?
  • autodidude
  • · Replies 3 ·
Replies
3
Undergrad Questions regarding the Fundamental Theorem of Calculus
  • autodidude
  • · Replies 6 ·
Replies
6
Graduate Pesky change of variables in integral
  • w4k4b4lool4
  • · Replies 10 ·
Replies
10
How to determine how many areas there are between two functions
  • hatelove
  • · Replies 7 ·
Replies
7
Undergrad Integration by Parts in Calculus: Understanding the Process and Its Applications
  • bugatti79
  • · Replies 6 ·
Replies
6
Graduate Vector Identity (del operator)
  • racnna
  • · Replies 2 ·
Replies
2
Undergrad Why Was the Natural Logarithm Defined as an Integral?
  • Bashyboy
  • · Replies 8 ·
Replies
8
Undergrad Sum of series- Fibonacci numerator, geometric denominator
  • Apollonian
  • · Replies 9 ·
Replies
9
Graduate Question About an Application of Implicit Function Theorem
  • nonmathtype
  • · Replies 4 ·
Replies
4
Undergrad I'm trying to understand why e works this way
  • Nile3
  • · Replies 21 ·
Replies
21
How to Find the Directional Derivative of a Function at a Given Point?
  • Fantini
  • · Replies 4 ·
Replies
4
Graduate Solid angle (and integral of a sine function)
  • mnb96
  • · Replies 5 ·
Replies
5
Undergrad Why does this trick work? Screenshot inside
  • tamtam402
  • · Replies 3 ·
Replies
3
Graduate Fourier Transform of non-centered circular aperture
  • crazy-phd
  • · Replies 4 ·
Replies
4
Undergrad Can somebody look over my proof? (Asymptotic notation and algorithms)
  • scorpion4377
  • · Replies 4 ·
Replies
4
Undergrad What Is the Radius of Convergence for the Taylor Series of x/(1+x^2) at x=0?
  • melihaltintas
  • · Replies 9 ·
Replies
9
Undergrad Decomposition of Vector Addition to lead to unique solution
  • mostarac2487
  • · Replies 1 ·
Replies
1
Undergrad What is the assumption for making approximations in expressions?
  • weetabixharry
  • · Replies 5 ·
Replies
5
Graduate Question about divergence and curl:
  • Aronyak
  • · Replies 1 ·
Replies
1
Undergrad How do you calculate the integral dz/(z^2+h^2)^(2/3)?
  • NadAngel
  • · Replies 4 ·
Replies
4
Undergrad How to Calculate Definite Integrals?
  • clm222
  • · Replies 24 ·
Replies
24
Is there a simpler way to integrate this?
  • aruwin
  • · Replies 7 ·
Replies
7
How fast is the light sweeping along the 2 km shoreline?
  • hatelove
  • · Replies 2 ·
Replies
2
Graduate Jacobian matrix of a variable transformation
  • AxiomOfChoice
  • · Replies 13 ·
Replies
13
Graduate Identify power series with coeffs. that are palindromic polynomials of a param.
  • jsm10
  • · Replies 1 ·
Replies
1
Graduate How to Express \(\frac{1}{e^{z}-1}\) in \(u+iv\) Form?
  • unchained1978
  • · Replies 3 ·
Replies
3
How to Find the Limit of a Function's Derivative and Graph It?
  • aruwin
  • · Replies 6 ·
Replies
6
Graduate Can the Laplacian Determine Analyticity of Complex Functions?
  • unchained1978
  • · Replies 6 ·
Replies
6
Graduate Divergence in spherical coordinate system
  • PrakashPhy
  • · Replies 2 ·
Replies
2
Graduate Property of the index of a function
  • Jim Kata
  • · Replies 3 ·
Replies
3
Explaining derivative graphically
  • hatelove
  • · Replies 4 ·
Replies
4
Undergrad Can Definite Integrals Be Divided Algebraically?
  • drewfstr314
  • · Replies 1 ·
Replies
1
High School How To Find The Sin(A+B)=SinA.CosB+CosA.SinB?
  • optics.tech
  • · Replies 1 ·
Replies
1
Graduate Need help finding a bound for an equation
  • jacksonjs20
  • · Replies 2 ·
Replies
2
Undergrad Derivative of the exponential function with base e
  • Yh Hoo
  • · Replies 3 ·
Replies
3
What is the limit of xn in this arithmetic mean sequence?
  • aruwin
  • · Replies 5 ·
Replies
5
Evaluating Integrals Involving Trig Functions
  • sbhatnagar
  • · Replies 6 ·
Replies
6
Graduate What Are Your Views on Non-Standard Analysis?
  • genericusrnme
  • · Replies 17 ·
Replies
17
Undergrad Proper mathematical notation in regarding integrals
  • Niles
  • · Replies 2 ·
Replies
2
Finding volumes by multiple integrals
  • aruwin
  • · Replies 2 ·
Replies
2
Why is \( y(x) = 1 - x \) chosen and how does it fit into the chain rule?
  • aruwin
  • · Replies 2 ·
Replies
2
Undergrad How do I use l'Hopital's rule to find the limit of [f(x)-cosa]/(x-a)?
  • aruwin
  • · Replies 19 ·
Replies
19
Undergrad Multiplication in a Definite Integral Equation
  • drewfstr314
  • · Replies 5 ·
Replies
5
How can I use l'Hopital's rule to find the limit of [f(x)-cosa]/(x-a)?
  • aruwin
  • · Replies 8 ·
Replies
8
High School Derivative of function with radicals
  • PhysChem
  • · Replies 3 ·
Replies
3
Graduate Calculating Line Integral on Curve C (IR3)
  • portuguese
  • · Replies 11 ·
Replies
11
Rate of how fast a shadow grows as you walk
  • hatelove
  • · Replies 4 ·
Replies
4
Calculating the Rate of Decrease in Diameter of a Melting Snowball
  • hatelove
  • · Replies 3 ·
Replies
3
Graduate Finding the Product of Integrals
  • drewfstr314
  • · Replies 5 ·
Replies
5
Undergrad Solving for x in an equation involving trigonometric functions
  • dilasluis
  • · Replies 8 ·
Replies
8
Graduate Why does the cube root function have a discontinuous derivative at x=0?
  • {???}
  • · Replies 4 ·
Replies
4
How Do You Calculate the Third Derivative of y = (5x - 1)^(1/2)?
  • hatelove
  • · Replies 4 ·
Replies
4
Graduate Existence of minimizers to isoperimetric problem
  • Tatianaoo
  • · Replies 3 ·
Replies
3
Book recommendations for self studying calculus.
  • kanderson
  • · Replies 6 ·
Replies
6
Where am I going wrong with my Interval of Convergence calculations?
  • MacLaddy1
  • · Replies 8 ·
Replies
8
Graduate Need help in finding extreme values
  • aruwin
  • · Replies 53 ·
2
Replies
53
Undergrad Is There a Logical Method for Finding a General n-th Term in Partial Sums?
  • vish22
  • · Replies 1 ·
Replies
1
Graduate Baby rudin, Limit of nth root of p
  • jecharla
  • · Replies 7 ·
Replies
7
Undergrad Exponential function differentiation
  • cooper607
  • · Replies 5 ·
Replies
5
Undergrad Taylor Series to Approximate Functions
  • V0ODO0CH1LD
  • · Replies 3 ·
Replies
3
Please check my partial diferentiation
  • aruwin
  • · Replies 4 ·
Replies
4
Graduate Finding a Sup of a Functional?
  • cris(c)
  • · Replies 1 ·
Replies
1
Graduate Mastering Binomial Theorem for Understanding Rudin's Analysis Proofs
  • jecharla
  • · Replies 2 ·
Replies
2
Finding local extrema using taylor series
  • aruwin
  • · Replies 5 ·
Replies
5
Graduate The complement formula of the Gamma function
  • Millennial
  • · Replies 3 ·
Replies
3
High School Prove of Statement, Calculus, Basic Properties of numbers
  • c.teixeira
  • · Replies 8 ·
Replies
8
Graduate Function with f(0)=0,f'(0)=+inf,f(inf)=<1
  • sargondjani1
  • · Replies 11 ·
Replies
11
Undergrad Which method of integration for sin^2(x) dx
  • Adyssa
  • · Replies 6 ·
Replies
6
Graduate How Does Generated Sigma Algebra Incorporate Intermediate Sets?
  • woundedtiger4
  • · Replies 6 ·
Replies
6
Undergrad Integration result varying in mathematica 5.2
  • superkan619
  • · Replies 2 ·
Replies
2
Undergrad What is the General Term for the Summation of x^(-1) from 0 to n?
  • spectrum123
  • · Replies 5 ·
Replies
5
Graduate Understanding Upper and Lower Bounds in Mathematical Proofs: A Logical Approach
  • calios
  • · Replies 1 ·
Replies
1
Graduate How to Model a Bicycle's Trajectory Using Continuous Time?
  • hazuki
  • · Replies 2 ·
Replies
2
Undergrad How do you find the trend in some functions?
  • clemon!!
  • · Replies 7 ·
Replies
7
Graduate Tangent Space Definition (Munkres Analysis on Manifolds)
  • mathmonkey
  • · Replies 4 ·
Replies
4
Solving the Floor Function Equation
  • juantheron
  • · Replies 1 ·
Replies
1
Number of Onto, Into & Constant Functions from A to B
  • juantheron
  • · Replies 1 ·
Replies
1
Undergrad Is it possible to integrate x^2*e^(x^2)?
  • Fribbles
  • · Replies 20 ·
Replies
20
How Can You Determine the Sum of an Infinite Geometric Series?
  • hatelove
  • · Replies 2 ·
Replies
2
Graduate Simplifying Vector Analysis Derivatives with \nabla \times \vec{A}: Expert Tips
  • Hassan2
  • · Replies 2 ·
Replies
2
Undergrad Triangles and Definite Integrals
  • apt403
  • · Replies 2 ·
Replies
2
Is it Possible to show this? Beta function
  • chamilka
  • · Replies 3 ·
Replies
3
Graduate Why l1 Norm is non-differentiable?
  • venki1130
  • · Replies 4 ·
Replies
4
What are the Best Calculus Books for Beginners?
  • hatelove
  • · Replies 2 ·
Replies
2
Chamilka's Question from Math Help Forum.
  • Sudharaka
  • · Replies 2 ·
Replies
2
POTW for University Students week 13
  • veronica1999
  • · Replies 2 ·
Replies
2
Graduate Lowest surface to volume ratio for an uncovered vessel
  • eee000
  • · Replies 14 ·
Replies
14
Graduate Which Measurement Accuracy Most Impacts the Value of g in Pendulum Calculations?
  • aruwin
  • · Replies 2 ·
Replies
2
Graduate Obtaining pi through use of trigonometry and limits
  • JDude13
  • · Replies 9 ·
Replies
9