DrOfEng

This chemistry video covers a tutorial on the molarity or the molar concentration of solutions, which is commonly used in a laboratory. A solute dissolves in a solvent.

This calculus video covers a tutorial that introduces optimisation problems and provides a basic strategy on how to solve them.

This physics video covers a tutorial on the parallel axis theorem, which is used to find the moment of inertia of a rigid body about an arbitrary axis using the moment of inertia about the center of mass.

This discrete mathematics video covers a tutorial on r-permutation, which is an ordered arrangement of r distinct objects r chosen from a a set of n objects and denoted by P(n,r).

This linear algebra video covers a tutorial on row echelon Vs reduced row echelon forms, which allow us to obtain the solution to a linear system by inspection.

This chemistry video covers a tutorial on homogeneous and heterogeneous mixtures. Homogeneous mixtures are also referred to as solutions. These types of mixtures can be multi-phase, and solids, liquids and gases.

This calculus video covers a tutorial on how a function and its derivatives are connected.

This physics video covers a tutorial on the moment of inertia of a rigid body. Similar to mass resisting a force, the moment of inertia resists a torque. Worked examples on the moment of inertia of a thin rod, thin ring, thin disc, annular ring and cylinder are provided to reinforce your understanding.

This discrete mathematics video covers a tutorial on permutations which is the number of rearrangements of the elements of a set. The permutations of a set with n elements are defined by n! (n factorial).

This linear algebra video covers a tutorial on how elementary operations on augmented matrices can provide a more systematic way to solve a system of linear equations.

This chemistry video covers a tutorial on the deviation from ideal gas behaviour. The two main conditions where a gas deviates from ideal behaviour are when the volume of the gas particle is not negligible compared to the volume of the gas and when intermolecular forces become significant near condensation conditions. Examples are provided to reinforce your understanding.

This calculus video covers a tutorial on sketching the graphs of functions and their derivatives. Curve sketching is one of the main analyical applications of derivatives.

This physics video covers a tutorial on the moment of inertia of a system of particles. Similar to mass resisting a force, the moment of inertia resists a torque. A worked example is provided to reinforce your understanding.

This discrete mathematics video covers a tutorial on the inclusion-exclusion principle. A worked example is covered to reinforce your understanding.

This linear algebra video covers a tutorial on augmented matrices and provides an introduction to elementary row operations.

This computer science video covers a tutorial on the merge sort algorithm, which is a recursing algorithm for sorting array or arraylist objects in Java.

This chemistry video covers a tutorial on the deviation from ideal gas behaviour. The two main conditions where a gas deviates from ideal behaviour are when the volume of the gas particle is not negligible compared to the volume of the gas and when intermolecular forces become significant near condensation conditions.

This calculus video covers a tutorial on sketching the graphs of functions and their derivatives. Curve sketching is one of the main analyical applications of derivatives.

This physics video covers a tutorial on the moment of inertia of a rigid body. Similar to mass resisting a force, the moment of inertia resists a torque.

This discrete mathematics video covers a tutorial on the inclusion-exclusion principle.

This linear algebra video covers a tutorial on solutions to linear systems with two and three unknowns. It gives a geometric interpretation of the solutions which are grouped into three categories, no solution, one solution and infinitely many solutions. Worked examples are provided to reinforce your understanding.

This computer science video covers a tutorial on the binary search algorithm. Both iterative and recursive implementations of the binary search algorithm are compared.

This chemistry video covers a tutorial on kinetic molecular theory and the Maxwell-Boltzmann distribution of velocities for an ideal gas or a mixture of ideal gases. The distribution of velocities for two cases are given, the same ideal gas at different temperatures and a mixture of ideal gases at the same temperature. A worked example is covered to reinforce your understanding.

This calculus video covers a tutorial on how the second derivative can be used to determine if a critical point is a local minimum or a local maximum, and identify inflection points. A worked example is covered to reinforce your understanding.

This physics video covers a tutorial on the moment of inertia of a system of particles. Similar to mass resisting a force, the moment of inertia resists a torque.