STEM Jock

In this video I derive the general solution to the one-dimensional wave equation using the method of operator factorization.

In this video I show how to evaluate definite integrals from 0 to 2pi that involve sine and cosine in the integrand.

In this video I illustrate the chain rule by finding the derivative of a function.

In this video I illustrate the chain rule by finding the derivative of a function.

In this video I illustrate how to use the chain rule to find the derivative of a function.

In this video I show how to evaluate limits of a function from a given graph.

In this video I show how to calculate the volume of a solid of revolution using disks.

In this video I show how to calculate the volume of a solid of revolution using disks.

In this video I show how to calculate the electric field of a uniformly charged ring.

In this video I show how to calculate the electric field of a uniformly charged rod.

In this video I show how calculus is used to determine the electric field of an extended body. I'll post videos in the future that show how to evaluate these formulas for specific shapes.

In this video I show how to solve a physics problem in projectile motion (also known as two-dimensional kinematics). The problem is 3.22 from the 13th edition of Sears and Zemansky's "University Physics with Modern Physics."

In this video I show how to solve a physics problem in projectile motion (also known as two-dimensional kinematics). The problem is 3.16 from the 13th edition of Sears and Zemansky's "University Physics with Modern Physics."

In this video I show how to solve a physics problem in projectile motion (also known as two-dimensional kinematics). The problem is 3.21 from the 13th edition of Sears and Zemansky's "University Physics with Modern Physics."

In this video I show how to solve a physics problem in projectile motion (also known as two-dimensional kinematics). The problem is 3.19 from the 13th edition of Sears and Zemansky's "University Physics with Modern Physics."

In this video I show how to solve a physics problem in projectile motion (also known as two-dimensional kinematics). The problem is 3.13 from the 13th edition of Sears and Zemansky's "University Physics with Modern Physics."

In this video I will walk you through a practice problem in projectile motion (also known as two-dimensional kinematics). The problem is 3.10 from the 13th edition of Sears and Zemansky's "University Physics with Modern Physics."

In this video I consider an example matrix and calculate the eigenvalues, eigenvectors, diagonalization, and the matrix exponential function.

In this video I introduce eigenvalues, eigenvectors, diagonalization, and the matrix exponential function. I consider an example matrix to illustrate how to calculate them.

In this video I explain why taking AP classes is not the best idea; students instead should opt to take these classes at their local community college. If you still want to take AP classes, ask around to make sure the teacher is a good one before committing to it for a whole year. I forgot to mention that a benefit of having a different professor every semester is you have more people to ask for a recommendation letter. I also forgot to say that if you're learning a foreign language, the 5-day-per-week schedule in high school is better for learning than the 2-day-per-week schedule in college.

In this video I show how to solve a quantum mechanics question on the half-harmonic oscillator, a variant of the simple harmonic oscillator. This solution involves the use of a method you may or may not have seen before called the method of reflection. This question was on an exam.

In this video I show how to solve a quantum mechanics question on the simple harmonic oscillator. This question was on an exam in the past, so it should give you insight into what you should know to do the problem quickly. I calculate the probabilities of measuring energies, the mean energy, the uncertainty in energy, and the expectation value of position at time t.

In this remastered video I solve an undergraduate quantum mechanics question about a simple harmonic oscillator. I calculate the future time-dependence of a wave function based on a given initial condition, and I use bra-ket notation to determine the expectation values of position and momentum operators at any time. This question was on an exam.

I demonstrate how to find the zeros of a polynomial function. Synthetic division and the zero product property are useful here.

I show how to solve the transport equation with variable coefficients in a very special case.