With 56 free tutorials, the Linear Algebra course is now complete. The course covers Vectors Basics, Systems of Linear Equations, Vector Combinations & Span, Matrices, Eigenvalues & Eigenvectors, and Complex Numbers! There are tons of detailed explanations and worked examples to help you better understand and grasp Linear Algebra and all it's abstractness.
The Complex Numbers section of the Linear Algebra Course is now complete. There are free tutorials that cover the concept introduction, some operations, and also how to express complex numbers in polar form.
I created 36 free Differential Equations tutorials that focus on first and second order differential equations. The course covers basic introductions, integrating factors, separable differential equations, Bernoulli differential equations, exact differential equations, non-exact differential equations, Euler's method, characteristic equations, fundamental solution sets, wronskian, reduction of order, undetermined coefficients, and variation of parameters! There are tons of detailed explanations and worked examples to help you better understand and grasp Differential Equations.
15 new tutorials covering second order differential equations are now up! They cover a few important things about the characteristic equation, as well as reduction of order method, undetermined coefficients methods, and variation of parameters.
9 new tutorials are up on matrix algebra. This is your last chance. After this, there is no turning back. You take the blue pill—the story ends, you wake up in your bed and believe whatever you want to believe. You take the red pill—you stay in Wonderland, and I show you how deep the rabbit hole goes. Remember: all I'm offering is the truth. Nothing more.
After a very long hiatus, a new section is up in the linear algebra course covering vector combinations and span. There is about a 5 year gap between the publishing dates of video #25 and #26, whoops. Oh well, I'm back at it again with linear algebra and hope to finish off the set this month. Here are the new videos:
I created 49 free Structural Analysis tutorials that focus on beam bending concepts. The course begins with a review of shear force and bending moment diagrams, and then goes on to cover the double integration method, method of superposition, moment area method, slope deflection method, 3 moment equation, and the force method! There are tons of detailed explanations and worked examples to help you better understand and grasp Structural Analysis.
The final section in the Structural Analysis course is now complete, it's on the force method. This is a great method for solving one degree statically indeterminate structures. It's an awful way to solve structures that are 2+ degrees indeterminate. This is pretty evident by the one degree example taking under 10 minutes to solve, and the two degree example taking 40 minutes (split into 3 parts). Unfortunately, at some point in your life, you are probably going to be asked to solve a two degree statically indeterminate structure with the force method, and because of that, I slogged my way through example #2.