DrOfEng

This engineering video covers a tutorial on the torsion of I-beams which are not free to warp e.g. the beam may be restrained at one end.

This computer science video covers a tutorial on referencing and instance hierarchies. When a class S is-a class T i.e. S is a subclass of the superclass T, you can assign an object of type S to a reference of type T. This facilitates polymorphism.

This chemistry video covers a tutorial on Boyle's law for an ideal gas. Boyle's law is a special case of the ideal gas law where the temperature of the gas is held constant. In this case, the pressure is inversely proportional to the volume of the gas.

This calculus video covers a tutorial on how to use the first derivative test to find relative or local extrema. A worked example on the first derivative test is provided on finding critical points and intervals on which a function is increasing or decreasing.

This physics video covers a tutorial on the vector cross product using a worked example to reinforce your understanding. The tangential velocity is calculated from the cross product between the angular velocity and radial vectors seen in circular motion.

This engineering video covers a tutorial on the warping of I-beams. The free warping assumption of I-beams is explained.

This computer science video covers a tutorial on how the super keyword can be used to call methods in the superclass from the subclass in Java.

This chemistry video covers a tutorial on Gay-Lussac's law for an ideal gas. Gay-Lussac's law is a special case of the ideal gas law where the volume of the gas is held constant. In this case, the pressure is proportional to the temperature of the gas.

This calculus video covers a tutorial on how to use the first derivative test to find relative or local extrema.

This physics video covers a tutorial on the proof of the vector cross product in 2D Cartesian coordinates. The vector cross product is useful in calculating physical quantities such as torque, angular momentum, angular velocity and angular acceleration.

This engineering video covers a tutorial on the torsion of a shaft with a rectangular section. A worked example is used to derive the torsion equation for a rectangular section, which is compared with that for a circular section.

This computer science video covers a tutorial on the difference between overriding and overloading the methods of a superclass from a subclass in Java.

This chemistry video covers a tutorial on the Dalton's law for a mixture of ideal gases. Dalton's law states that the total pressure of the mixture is equal to the sum of the partial pressures of the gas components, which are independent of each other.

This calculus video covers a tutorial on how to use the derivative to determine if a function is increasing on decreasing on an interval.

This physics video covers a tutorial on the vector cross product and how to calculate it using the determinant of a matrix.

This engineering video covers a tutorial that provides a summary of the torsion problem and how to solve it in steps. The torsion problem is validated for the base case, namely the torsion of a circular shaft, and the solution is compared with that derived using the strength of materials approach.

This computer science video covers a tutorial on inheritance in Java, focused on the use of subclass and superclass constructors. The super keyword in the subclass constructor calls the superclass constructor with the specified parameter. If the super keyword is not specified, Java invokes the default constructor of the superclass.

This chemistry video covers a tutorial on the ideal gas law. It explains the relationship between the macroscopic properties of an ideal gas, namely pressure, volume and temperature. The ratio of the pressure, volume and temperature can be constant under certain conditions.

This calculus video covers a tutorial on the extreme value theorem, global and local extrema, and critical points. Worked examples are provided to reinforce your understanding.

This physics video covers a tutorial on the vector cross product and how to visualise it using the right hand rule. It shows that the vector cross product is not commutative.

This engineering video covers a tutorial on deriving the torque integral for the torsion problem which relates the stress function to the torque acting on the section. Integration by parts is used to derive the torque integral for the torsion problem.

This computer science video covers a tutorial on inheritance in Java. It discusses how a subclass inherits attributes and behaviours from a superclass. This can also be visualised as a parent/child relationship in which the child class inherits from the parent class.

This chemistry video covers a tutorial on the gas phase. It explains how the frequencies of collisions and average spacing between the gas particles are influenced by pressure, volume and temperature. The gas does not have a definite volume due to the weak van der Waals forces between the molecules and the random motion of the gas particles.

This calculus video covers a tutorial on global and local extrema. Global extrema are also known as absolute extrema and local extrema are referred to as relative extrema. A visual is provided to show how all local extrema occur at critical points but not all critical points are global extrema.

This physics video covers a tutorial on the vector cross product. The vector cross product returns a vector whereas the vector dot product returns a scalar. A geometric interpretation of the cross product is given. The vector cross product is used in physics applications to determine quantities such as torque, angular velocity, angular acceleration and angular momentum.