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One flux example two ways: using Stokes' and the Divergence Theorem
Laplace Transforms 9: Introduction to the Heaviside (unit step) function
Why is the tan function called tangent?
Laplace Transforms 11: The Dirac Delta (Unit Impulse)
Integrate ln(x)^1000, Integral Calculus Problem
Compact iff Sequentially Compact full proof, Real Analysis II
Open sets in a metric space (M,d), with examples, Real Analysis II
Compute T, N, and B for a parameterized curve, Multivariable Calculus
Example finding the osculating circle, Multivariable Calculus
Prove the double angle identities using Euler's formula
Projectile motion: optimal angle, landing time and location in Multivariable Calculus
Introduction to inner product, norm, and metric on Rn, Real Analysis II
Laplace Transforms 12: Dirac Delta Examples
Linking WebAssign to Moodle with the Cengage external tool
Trig Sub: Integration with Trigonometric Substitution 1, Single Variable Calculus
Residue calculus integration example with simple poles, Complex Analysis
Laplace Transforms 8: The complex frequency domain for s
Flux across a hemisphere, with and without the Divergence Theorem, Multivariable Calculus
Example finding the osculating plane and TNB, Multivariable Calculus
Using separable differential equations to find orthogonal trajectories
Curl and divergence of a vector field, Multivariable Calculus
Continuous functions on path connected and connected sets, Real Analysis II
Surface Integrals: Why 'r' Isn't Needed When Parametrizing with Polar Coordinates
Laplace Transforms 3: The Laplace transform of t^n
Intersection of two planes: the line and the angle, Multivariable Calculus
Integration by parts examples, Single Variable Calculus
Interior of a set in a metric space, Real Analysis II
Closed sets in a metric space, Real Analysis II
Metric Spaces Introduction, Real Analysis II
Closure of a set, Real Analysis II
Parametrized Curves, Multivariable Calculus
Second order differential equation for spring-mass systems
Tangent Plane and Normal Line using a gradient, Multivariable Calculus
Double integration over general regions, Multivariable Calculus Unit 4 Lecture 3
Integration with residue calculus example with order 2, Complex Analysis
Computing a volume with double and triple integrals, Multivariable Calculus
Line integral along a plane and sphere intersection, with Stokes and without
Simpson's Rule MATLAB Supplement, Single Variable Calculus
Implicit Function Theorem with examples, Real Analysis II
Laplace Transforms 2: The Laplace transform of exponential functions e^(at)
Buffon's needle problem to estimate pi, explained
Unions and intersections of open sets, Real Analysis II
Multivariable Calculus Unit 1 Lecture 03: Five examples in R3
Examples of scalar and vector line integrals, Multivariable Calculus
Multivariable Calculus: Parameterize the curve of intersection
Vector line integrals, Multivariable Calculus
f : [0,1] to [0,1] has a fixed point (Brouwer Fixed Point theorem, dimension 1)
Norms, lp norms, and the sup norm, Real Analysis II
Work done pulling a rope to the top of a building
Calculating residues at simple poles, Complex Analysis
