AERONAUTICAL REFRESHER PROGRAM 2023 (ONLINE)

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LMS FWA 2023

Course Content

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ALGEBRA

TRIGONOMETRY
Trigonometry is one of the important branches in the history of mathematics. It is the study of triangles where we deal with the angles and sides of the triangle. To be more specific, it's all about a right-angled triangle. It is one of those divisions in mathematics that helps in finding the angles and missing sides of a triangle by the help of trigonometric ratios. The angles are either measured in radians or degrees. The usual trigonometry angles are 0°, 30°, 45°, 60° and 90°, which are commonly used. -Engr. Romnick Medina Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). These six trigonometric functions in relation to a right triangle are displayed in the figure. For example, the triangle contains an angle A, and the ratio of the side opposite to A and the side opposite to the right angle (the hypotenuse) is called the sine of A, or sin A; the other trigonometry functions are defined similarly. These functions are properties of the angle A independent of the size of the triangle, and calculated values were tabulated for many angles before computers made trigonometry tables obsolete. Trigonometric functions are used in obtaining unknown angles and distances from known or measured angles in geometric figures. Trigonometry developed from a need to compute angles and distances in such fields as astronomy, mapmaking, surveying, and artillery range finding. Problems involving angles and distances in one plane are covered in plane trigonometry. Applications to similar problems in more than one plane of three-dimensional space are considered in spherical trigonometry. Source: https://www.britannica.com/science/trigonometry/

ANALYTIC GEOMETRY
Analytic geometry, also called coordinate geometry, mathematical subject in which algebraic symbolism and methods are used to represent and solve problems in geometry. The importance of analytic geometry is that it establishes a correspondence between geometric curves and algebraic equations. This correspondence makes it possible to reformulate problems in geometry as equivalent problems in algebra, and vice versa; the methods of either subject can then be used to solve problems in the other. For example, computers create animations for display in games and films by manipulating algebraic equations. Source: https://www.britannica.com/science/analytic-geometry

SOLID MENSURATION

DIFFERENTIAL CALCULUS
Differential calculus, Branch of mathematical analysis, devised by Isaac Newton and G.W. Leibniz, and concerned with the problem of finding the rate of change of a function with respect to the variable on which it depends. Thus it involves calculating derivatives and using them to solve problems involving non constant rates of change. Typical applications include finding maximum and minimum values of functions in order to solve practical problems in optimization. Source: https://www.britannica.com/science/differential-calculus Differential Calculus is the branch of mathematics that studies the rate of change of quantities. The means to mathematically cut something into small pieces to find how it changes.

INTEGRAL CALCULUS
Integral calculus, Branch of calculus concerned with the theory and applications of integrals. While differential calculus focuses on rates of change, such as slopes of tangent lines and velocities, integral calculus deals with total size or value, such as lengths, areas, and volumes. The two branches are connected by the fundamental theorem of calculus, which shows how a definite integral is calculated by using its antiderivative (a function whose rate of change, or derivative, equals the function being integrated). For example, integrating a velocity function yields a distance function, which enables the distance traveled by an object over an interval of time to be calculated. As a result, much of integral calculus deals with the derivation of formulas for finding antiderivatives. The great utility of the subject emanates from its use in solving differential equations. Source: https://www.britannica.com/science/integral-calculus

STATISTICS AND PROBABILITY
Statistics, the science of collecting, analyzing, presenting, and interpreting data. Governmental needs for census data as well as information about a variety of economic activities provided much of the early impetus for the field of statistics. Currently the need to turn the large amounts of data available in many applied fields into useful information has stimulated both theoretical and practical developments in statistics.

DATA ANALYTICS

AIR LAWS
Air law, the body of law directly or indirectly concerned with civil aviation. Aviation in this context extends to both heavier-than-air and lighter-than-air aircraft. Air-cushion vehicles are not regarded as aircraft by the International Civil Aviation Organization (ICAO), but the practice of individual states in this regard is not yet settled. The earliest legislation in air law was a 1784 decree of the Paris police forbidding balloon flights without a special permit. Source: https://www.britannica.com/topic/air-law

AIRCRAFT SYSTEMS
Aircraft are complex products comprised of many subsystems which must meet demanding customer and operational lifecycle value requirements. The subject adopts a holistic view of the aircraft as a system, covering: basic systems engineering; cost and weight estimation; basic aircraft performance; safety and reliability; lifecycle topics; aircraft subsystems; risk analysis and management; and system realization. Small student teams "retrospectively analyze" an existing aircraft covering: key design drivers and decisions; aircraft attributes and subsystems; operational experience. Oral and written versions of the case study are delivered. Source: https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-885j-aircraft-systems-engineering-fall-2004/syllabus/

MAINTENANCE INSPECTION AND REPAIR
The maintenance support provided by aerospace-industry firms is applied primarily to corporate, commercial, and military aircraft. Light-plane maintenance is generally handled by local fixed-base operators, which are not considered part of the aerospace industrial complex. Launch vehicles and unmanned spacecraft, although maintained throughout their prelaunch life by constant checking and correction, are single-use

ENGINEERING ECONOMICS
Engineering economics quantifies the benefits and costs associating with engineering projects to determine if they save enough money to warrant their capital investments. Engineering economics requires the application of engineering design and analysis principles to provide goods and services that satisfy the consumer at an affordable cost. Engineering economics is also relevant to the design engineer who considers material selection. Engineers are planners and builders. They are also problem solvers, managers and decision makers. In the beginning of the 20th century, engineers were mainly concerned with the design, construction, operation of machines structures and processes.

ENGINEERING MECHANICS I (STATICS)
Statics, in physics, the subdivision of mechanics that is concerned with the forces that act on bodies at rest under equilibrium conditions. Its foundations were laid more than 2,200 years ago by the ancient Greek mathematician Archimedes and others while studying the force-amplifying properties of simple machines such as the lever and the axle. The methods and results of the science of statics have proved especially useful in designing buildings, bridges, and dams, as well as cranes and other similar mechanical devices. To be able to calculate the dimensions of such structures and machines, architects and engineers must first determine the forces that act on their interconnected parts. Statics provides the analytical and graphical procedures needed to identify and describe these unknown forces.

DYNAMICS
Dynamics, branch of physical science and subdivision of mechanics that is concerned with the motion of material objects in relation to the physical factors that affect them: force, mass, momentum, energy. Source: https://www.britannica.com/science/aerodynamics

STRENGTH OF MATERIALS
Strength of materials, Engineering discipline concerned with the ability of a material to resist mechanical forces when in use. A material’s strength in a given application depends on many factors, including its resistance to deformation and cracking, and it often depends on the shape of the member being designed. See also fracture, impact test, materials science, tensile strength, testing machine. Source: https://www.britannica.com/technology/strength-of-materials

AIRCRAFT STRUCTURES
A lecture about the different major structure that forms the airplane. This includes the calculations involving stresses felt by the load-bearing structures and the skin

AIRCRAFT DESIGN AND BASIC PROPELLER

PHYSICS
Physics, science that deals with the structure of matter and the interactions between the fundamental constituents of the observable universe. In the broadest sense, physics (from the Greek physikos) is concerned with all aspects of nature on both the macroscopic and submicroscopic levels. Its scope of study encompasses not only the behaviour of objects under the action of given forces but also the nature and origin of gravitational, electromagnetic, and nuclear force fields. Its ultimate objective is the formulation of a few comprehensive principles that bring together and explain all such disparate phenomena. Source: https://www.britannica.com/science/physics-science

THERMODYNAMICS
Thermodynamics, science of the relationship between heat, work, temperature, and energy. In broad terms, thermodynamics deals with the transfer of energy from one place to another and from one form to another. The key concept is that heat is a form of energy corresponding to a definite amount of mechanical work. https://www.britannica.com/science/thermodynamics

RECIPROCATING ENGINE
The study of the powerplant section of a light aircraft enumerating it's parts, functions and operations.

GAS TURBINE
Gas-turbine engine, any internal-combustion engine employing a gas as the working fluid used to turn a turbine. The term also is conventionally used to describe a complete internal-combustion engine consisting of at least a compressor, a combustion chamber, and a turbine.

AERODYNAMICS
Aerodynamics, branch of physics that deals with the motion of air and other gaseous fluids and with the forces acting on bodies passing through such a fluid. Aerodynamics seeks, in particular, to explain the principles governing the flight of aircraft, rockets, and missiles. It is also concerned with the design of automobiles, high-speed trains, and ships, as well as with the construction of such structures as bridges and tall buildings to determine their resistance to high winds. Source: https://www.britannica.com/science/aerodynamics

SUBSONIC

SUPERSONIC

CALCULATOR TECHNIQUES & ASSESSMENT SOLUTIONS

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