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Course Content
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00:00
ALGEBRA

Introduction to Subject
00:00 
Variable Notation
07:38 
Fractions
05:25 
Polynomials – Types and Classification
04:47 
Adding and Subtracting Polynomials
05:04 
Multiplying and Factoring
04:17 
Foil and Division
03:26 
Partial Fraction
02:07 
Partial Fractions Part 2
05:04 
Repeating Dominator
03:08 
Improper Fractions
02:48 
Factors, Prime Numbers & Composite Numbers
04:21 
Ratio
03:36 
Proportion
04:09 
Exponent Rules 1 & 210
05:51 
Exponent – RUles 3,4,5, & Zero11
03:32 
Negative Exponents
05:40 
Radicals
09:24 
Rationalizing The Denominator
03:54 
Exponential Functions
04:21 
Logartithmic Functions
02:49 
Logarithmic Functions – Laws
05:46 
Logarithmic Functions Mistakes
03:38 
Exponential Functions – Bacterial Growth
04:17 
Exponential Functions – Radioactive Decay
04:03 
Systems of Linear Equation
05:22 
Elimination Method
02:29 
Arithmetic Sequence
05:32 
Geometric Sequence and Series
05:40 
Solving by Principles of Zero product
04:14 
The Discriminant
01:50 
Quadratic Word Problem
05:20 
Age Word Problems
04:48 
Coin Problems
04:28 
Mixture
04:51 
Work Problems
03:39 
ZOOM SESSION
06:50:34 
ASSESSMENT EXAM
00:00 
LIVE SESSION 2022 FACE TO FACE CLASS & RESOURCES
03:54:00 
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 rightangled 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 0Â°, 30Â°, 45Â°, 60Â° and 90Â°, which are commonly used.
Engr. Romnick Medina
Trigonometry, the branch ofÂ mathematicsÂ concerned with specific functions ofÂ anglesÂ and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations areÂ sineÂ (sin),Â cosineÂ (cos),Â tangentÂ (tan),Â cotangentÂ (cot),Â secantÂ (sec), andÂ cosecantÂ (csc). These six trigonometric functions in relation to a right triangle are displayed in the figure. For example, the triangle contains an angleÂ A, and theÂ ratioÂ of the side opposite toÂ AÂ and the side opposite to the right angle (the hypotenuse) is called the sine ofÂ A, or sinÂ A; the other trigonometry functions are defined similarly. These functions are properties of the angleÂ AÂ independent of the size of the triangle, and calculated values were tabulated for many angles beforeÂ computersÂ madeÂ trigonometry tablesÂ obsolete.Â Trigonometric functionsÂ 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 asÂ astronomy,Â mapmaking,Â surveying, andÂ artilleryÂ range finding. Problems involving angles and distances in one plane are covered inÂ plane trigonometry. Applications to similar problems in more than one plane of threedimensional space are considered inÂ spherical trigonometry.
Source: https://www.britannica.com/science/trigonometry/

Radian and Degree Measure
01:55 
Angles â€“ Parts and Classification
05:39 
Angles and their Measures
04:13 
Types of Triangles
02:32 
Similarity of triangles
09:46 
Trigonometric Functions
04:41 
Right Triangle Trigonometry
07:11 
Oblique triangles – sine law
05:39 
Oblique triangles – cosine law
03:51 
Bearings
07:18 
ZOOM SESSION
03:36:45 
RESOURCES
00:00 
Face To Face Session & RESOURCES
02:25:00 
Assessment Exam
00:00 
Trigonometry Quiz
ANALYTIC GEOMETRY
Analytic geometry, also calledÂ coordinate geometry, mathematical subject in which algebraic symbolism and methods are used to represent and solve problems in geometry. The importance ofÂ analyticÂ geometry is that it establishes a correspondence between geometric curves andÂ algebraic equations. This correspondence makes it possible to reformulate problems in geometry as equivalent problems inÂ 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/analyticgeometry

Introduction
05:49 
Distance Formula
07:35 
Section Formula
07:01 
Slope and Inclination
07:31 
Equation of a Line
14:31 
Parallel and Perpendicular Lines
09:38 
Distance Between Line and Points
05:08 
Angle Between Two Lines
04:47 
Locus
08:01 
Introduction to Conic Sections
02:31 
Circle
13:12 
Parabola Introduction and Equation
12:06 
Parabola Sample Problems
09:16 
Ellipse Introduction and Equation
07:31 
Ellipse Formulas With Derivation
18:59 
Ellipse Sample Problems
18:26 
Hyperbola Introduction and Equation
04:42 
Hyperbola Formulas with Derivation
18:16 
Hyperbola Sample Problems
13:22 
Live session
04:08:48 
Analytic Geometry Assessment
00:00 
LIVE RECORD & RESOURCES
03:12:48 
LIVE RECORD & RESOURCES (ZOOM)
06:16:54 
Analytic Geom Quiz
SOLID MENSURATION

Angles and Sides of Polygons
03:53 
Triangles
16:41 
Quadrilaterals
15:06 
Regular Polygons
14:03 
Circles, Parabolic Segment, Ellipse
21:17 
Polyhedrons
04:12 
Prisms
13:48 
Cylinder
08:02 
Pyramids, Cones and their frustums
18:25 
Prismatoid
04:59 
Sphere, Spherical , Lune and Wedge
10:02 
Torus and Ellipsoid
05:44 
LIVE RECORD & RESOURCES
03:12:48 
LIVE RECORD & RESOURCES (ZOOM)
06:16:54 
Solid Men Quiz
DIFFERENTIAL CALCULUS
Differential calculus, Branch of mathematicalÂ analysis, devised byÂ Isaac NewtonÂ andÂ G.W. Leibniz, and concerned with the problem of finding the rate of change of aÂ functionÂ with respect to the variable on which it depends. Thus it involves calculatingÂ derivatives and using them to solve problems involving non constant rates of change. Typical applications include finding maximumÂ andÂ minimumÂ values of functions in order to solve practical problems inÂ optimization.
Source: https://www.britannica.com/science/differentialcalculus
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.

Introduction & Resources
01:02 
Derivative
03:07 
Basic Differentiation Rules
02:51 
Product Rule
03:11 
Quotient Rule
02:26 
Chain Rule
05:03 
Higher Derivatives
02:02 
Implicit Differentiation
08:12 
Maxima and Minima
05:24 
WORD PROBLEMS MUCH! PART 1
06:07 
WORD PROBLEMS MUCH! PART2
07:13 
Related Rates
09:25 
Live Session
04:10:34 
LIVE SESSION FACE TO FACE RESOURCES
01:51:47 
Differential Calculus Assessment
00:00 
Diff Cal Quiz
INTEGRAL CALCULUS
Integral calculus, Branch ofÂ calculusÂ concerned with the theory and applications ofÂ integrals. WhileÂ differential calculusÂ focuses on rates of change, such as slopes of tangent lines and velocities,Â integralÂ calculus deals with total size or value, such as lengths, areas, and volumes. The two branches are connected by theÂ fundamental theorem of calculus, which shows how a definite integral is calculated by using its antiderivative (aÂ functionÂ whose rate of change, or derivative, equals the function being integrated). For example,Â integratingÂ 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 solvingÂ differential equations.
Source: https://www.britannica.com/science/integralcalculus

INTRODUCTION & RESOURCES
00:57 
Definitions
05:06 
Power Rule
05:38 
USubstitutions
08:46 
Definite Integration
03:41 
Integration By Parts
07:28 
Trigonometric Substitution
15:46 
Finding Areas of Curves Using Integration
12:48 
Live Session August 7, 2021
03:04:45 
Live Record & Resources
03:10:29 
Integral Calculus and Differential Equations Assessment
00:00 
Integral Cal Quiz
STATISTICS AND PROBABILITY
Statistics, the science of collecting, analyzing, presenting, and interpretingÂ data. Governmental needs forÂ censusÂ data as well as information about a variety of economic activities provided much of the earlyÂ impetusÂ 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.

Introduction
01:21 
Probability
16:34 
Basic Definition and Sampling
31:39 
Data Presentation
32:31 
Measures of Central Tendencies and Shape of Data
29:44 
Hypothesis Testing
35:59 
Normal Distribution
32:12
DATA ANALYTICS

Live Record & Resources PART 1
53:41 
Data Analytics Assessment
00:00 
Live Record & Resources PART 2
02:31:08 
Data analytics quiz
AIR LAWS
Air law, the body of law directly or indirectly concerned with civil aviation. Aviation in thisÂ contextÂ extends to both heavierthanair and lighterthanair aircraft. Aircushion vehicles are not regarded as aircraft by theÂ International Civil Aviation OrganizationÂ (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 ParisÂ policeÂ forbidding balloon flights without a special permit.
Source: https://www.britannica.com/topic/airlaw

Air Laws Conventions
55:44 
Freedoms of Flight
32:18 
Airlaws and Economics Live lesson
03:07:37 
RESOURCES
00:00 
LIVE RECORD & RESOURCES
03:29:03 
Airlaws and Engineering Econ Assessment
00:00 
Additional Resources
00:00 
Air laws Quiz
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/aeronauticsandastronautics/16885jaircraftsystemsengineeringfall2004/syllabus/

ATA 24 ELECTRICAL SYSTEMS
08:02 
ATA 21 – Airconditioning and Presuurization
35:57 
ATA 36 Pneumatics
12:42 
ATA 25 Cabin
23:49 
ATA 27 Flight Controls
22:44 
ATA 28 FUEL
11:35 
ATA 29 Hydraulics
09:00 
ATA 30 Ice And Rain Protection
04:43 
RESOURCES
00:00 
Live Record & Resources
02:56:24 
Assessment
00:00 
ATA Chapters
00:00
MAINTENANCE INSPECTION AND REPAIR
The maintenance support provided by aerospaceindustry firms is applied primarily to corporate, commercial, andÂ military aircraft. Lightplane maintenance is generally handled by local fixedbase operators, which are not considered part of the aerospace industrial complex. Launch vehicles and unmannedÂ spacecraft, although maintained throughout their prelaunch life by constant checking and correction, are singleuse

Basic Maintenance Program
41:46 
Technical Publication
31:05 
Tools and GSE
45:29 
Different Inspection Method
01:07:21 
Corrosion and Control
58:17 
AIRCRAFT MAINTENANCE AND INSPECTION ASSESSMENT
00:00 
LIVE RECORD & RESOURCES
03:07:22 
Additional Resources
00:00
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 20thÂ century, engineers were mainly concerned with the design, construction, operation of machines structures and processes.

Engineering Economy
35:08 
Basic 1 Economy Study
43:52 
Airlaws and Economics Live lesson
03:07:37 
Econ and Airports Live Session
01:49:29 
LIVE RECORD & RESOURCES
03:29:03
ENGINEERING MECHANICS I (STATICS)
Statics, inÂ physics, the subdivision ofÂ mechanicsÂ that is concerned with the forces that act on bodies at rest underÂ equilibriumÂ conditions. Its foundations were laid more than 2,200 years ago by the ancient Greek mathematicianÂ ArchimedesÂ and others while studying the forceamplifying properties of simple machines such as the lever and the axle. The methods and results of theÂ scienceÂ 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 theÂ analyticalÂ and graphical procedures needed to identify and describe these unknown forces.

Force Systems (Concurrent and NonConcurrent)
46:54 
Equilibrium of a Rigid Body
52:04 
Analysis of Structures
32:21 
Centroid and Center of Gravity
42:31 
Moment of Inertia
21:07 
3D Force Systems
47:35 
Live Session August 14, 2021
04:05:03 
Live Record & Resources
02:57:53 
Statistics of Rigid Bodies Assessment
00:00
DYNAMICS
Dynamics, branch ofÂ physical scienceÂ and subdivision of mechanics that is concerned with the motion of material objects in relation to the physical factors that affect them:Â force, mass,Â momentum,Â energy.
Source: https://www.britannica.com/science/aerodynamics

Particle Kinematics (Continuous, Rectilinear Motion)
20:36 
Particle Kinematics – Uniformly Accelerated Rectilinear Motion
07:28 
Particle Kinematics – Erratic Rectilinear Motion
15:02 
Particle Kinematics – Projectile Motion
12:02 
Particle Kinematics – Curvilinear Motion Of Particles
09:01 
Particle Kinematics – Curvilinear Motion – Normal And Tangential Components
12:44 
Particle Kinematics Curvilinear Motion – Radial And Transverse Coordinates
12:45 
Particle Kinetics Equations Of Motion – Rectangular Coordinates
08:55 
Particle Kinetics Equations Of Motion – Normal And Tangential Coordinates
06:38 
Particle Kinetics – Equations Of Motion – Radial And Transverse Coordinates
09:47 
Particle Kinetics – Equations Of Motion – Principle Of Work And Energy
15:53 
Live Session
04:56:07 
LIVE RECORD & RESOURCES
02:51:27
STRENGTH OF MATERIALS
Strength of materials,Â EngineeringÂ disciplineÂ concerned with the ability of a material to resist mechanicalÂ forcesÂ when in use. A materialâ€™s strength in a given application depends on many factors, including its resistance toÂ deformationÂ and cracking, and it often depends on the shape of the member being designed.Â See alsoÂ fracture,Â impact test,Â materials science,Â tensile strength,Â testing machine.
Source: https://www.britannica.com/technology/strengthofmaterials

Simple Stress
02:37 
Normal Stress
25:58 
Shear Stress
19:00 
Bearing Stress
09:44 
The Walled Pressure Vessels
30:04 
Stress Strain Diagram
13:31 
Axial Strain
20:29 
Poissons Ration and Shearing Deformation
25:22 
Statistically Indeterminate Structures
11:20 
Thermal Stress
12:30 
Torsion
16:30 
Live Session pt1
02:20:13 
Live Session pt 2
02:42:31 
LIVE RECORD & RESOURCES
02:58:52 
Assessment
00:00
AIRCRAFT STRUCTURES
A lecture about the different major structure that forms the airplane. This includes the calculations involving stresses felt by the loadbearing structures and the skin

Structural Loads
05:49 
Fuselage
11:30 
Wings
07:03 
Wings – Position
03:53 
Wings – Structure
05:56 
Empennage
05:24 
Riveted and Bolted Connections
10:32 
Airworthiness
11:19 
Airframe Loads
07:41 
RESOURCES
00:00
AIRCRAFT DESIGN AND BASIC PROPELLER

General Ideas
02:00 
Prop Angles
05:14 
Prop Pitch and Blade Angles
05:51 
Experimental and Geometric Pitch
07:37 
Helix Angle
04:26 
Types of Propeller Systems
07:03 
Mechanical Stops, Blade angles and blade twists
07:41 
Propeller Efficiency
05:43 
Advance Ratio
03:08 
Advance Ratio
00:00 
Propulsive Efficiency
09:59 
Live Session Propeller Part 1
03:25:50 
2nd Live Session Propeller
02:08:21 
Aircraft Design Lecture
09:07:13 
RESOURCES
00:00 
Basic Helicopter Design and Aircraft Structures Assessment
00:00 
Additional Resources
00:00 
LIVE RECORD & RESOURCES
02:45:06 
LIVE RECORD & RESOURCES (ZOOM)
03:59:50
PHYSICS
Physics,Â scienceÂ that deals with the structure of matter and the interactions between the fundamentalÂ constituentsÂ of the observableÂ universe. In the broadest sense, physics (from the GreekÂ physikos) is concerned with all aspects of nature on both the macroscopic and submicroscopic levels. Its scope of studyÂ encompassesÂ not only the behaviour of objects under the action of given forces but also the nature and origin of gravitational, electromagnetic, andÂ nuclear forceÂ fields. Its ultimate objective is the formulation of a fewÂ comprehensiveÂ principles that bring together and explain all suchÂ disparateÂ phenomena.
Source: https://www.britannica.com/science/physicsscience

Vectors & Scalars
28:15 
Kinematic Equations
09:45 
Horizontal Motion
13:41 
Vertical Motion
15:22 
Projectile Motion
22:28 
Laws of Motion
10:07 
Conditions of Equilibrium
02:37 
Forces
25:21 
Work Energy and Power
29:20 
Impulse and Momentum
22:43 
Centripetal Force and Law of Universal Gravitation
08:01 
Dynamics and Kinematics
07:42 
Fluids
33:22 
Live Session (August 8, 2021)
03:35:19 
RESOURCES
00:00 
LIVE RECORD & NEW RESOURCES
02:50:19 
Physics Assessment
00:00
THERMODYNAMICS
Thermodynamics, science of the relationship betweenÂ heat,Â work,Â temperature, andÂ 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

Introduction and Basic Concepts
10:32 
Imperial and SI Untis – Basic Units and Derived Units
06:33 
Constant of Dimensional Analysis
10:14 
Laws of Thermodynamics
16:17 
General Formulas – Part 1
07:54 
Internal Energy
04:59 
Work
22:00 
Enthalpy and Heat
10:11 
Specific Heat
08:03 
Energy Analysis – Isometric Process
15:02 
Energy Analysis – Isobaric Process
18:15 
Energy Analysis – Isothermal Process
14:46 
Energy Analysis – Isentropic Process
15:14 
Steady Flow System
11:06 
Thermodynamic Cycles
16:57 
General Formulas Basic Ideas
05:39 
Thermodynamic Cycles Carnot
15:01 
Thermodynamic Cycles Otto
22:27 
Thermodynamic Cycle Diesel
23:41 
Thermodynamic Cycle Brayton
18:54 
Live Session
08:33:24 
Thermodynamics Assessment
00:00 
LIVE RECORD & RESOURCES
03:19:19 
Thermodynamics Assessment Pt.2
00:00 
LIVE RECORD & RESOURCES (part 2)
02:51:27
RECIPROCATING ENGINE
The study of the powerplant section of a light aircraft enumerating it's parts, functions and operations.

General Ideas
05:02 
SI and CI Engines
22:37 
Pistons
05:36 
Piston Rings
05:26 
Piston Pins
03:00 
Connecting Rods
03:38 
Crankshaft and Camshaft
09:07 
Valves
13:22 
Bearings
06:27 
Cooling System
13:59 
Lubricating System
09:18 
Carburetion
12:29 
Fuel System
08:00 
Ignition System
18:43 
Supercharging and Turbocharging
05:51 
Types of Engines and Engine Performance
05:41
GAS TURBINE
Gasturbine engine, any internalcombustionÂ engine employing aÂ gasÂ as the working fluid used to turn a turbine. The term also is conventionally used to describe a completeÂ internalcombustion engineÂ consisting of at least aÂ compressor, a combustion chamber, and a turbine.

Starting Defenitions
09:46 
Basic Operations
10:14 
Gas Turbine Systems
14:10 
Types of GTE
14:58 
Compressor
16:38 
Turbine
09:18 
Exhaust
03:26
AERODYNAMICS
Aerodynamics, branch ofÂ physicsÂ that deals with the motion ofÂ airÂ and other gaseous fluids and with the forces acting on bodies passing through such aÂ fluid. Aerodynamics seeks, in particular, to explain the principles governing theÂ flightÂ of aircraft, rockets, and missiles. It is also concerned with the design of automobiles, highspeed 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

Aerodynamics
09:05 
Atmosphere
07:50 
Module 3
08:03 
continuity and compressible and incompressible
09:19 
Eulerâ€™s and bernoulliâ€™s equation
07:01 
Energy Equation
05:30 
Speed of Sound
06:38 
compressible bernoulli
08:33 
Wind Tunnels
14:29 
measurement of airspeed PART 1
08:54 
measurement of airspeed PART 2
05:20 
LIVE LECTURE PART 1
02:48:31 
LIVE LECTURE PART 2
01:22:12 
LIVE LECTURE PART 3
01:54:05 
LIVE RECORD & RESOURCES (91822)
03:39:32 
Aerodynamics Assessment
00:00
SUBSONIC

Infinite vs. Finite
03:50 
Lift Slope Correction
03:01 
Total Drag Coefficient for a Finite Wing
05:59 
Lift to Drag Ratio
03:18 
Thrust Required for Level, Unaccelerated Flight
04:58 
Power Required
03:34 
Rate of Flight
04:33 
Gliding Flight
02:24 
Live Session
03:53:58 
LIVE RECORD & RESOURCES
03:20:16 
Subsonic Aerodynamics Assessment
00:00 
LIVE RECORD & RESOURCES (ZOOM)
04:02:18
SUPERSONIC

Compressibility Effect
02:38 
Introduction to Shockwaves
03:12 
Normal Shockwave
04:43 
Oblique Shockwave
05:48 
High Speed Airfoils
03:06 
Live Session
01:25:07 
LIVE RECORD & RESOURCES
03:47:27 
Supersonic Aerodynamics Assessment
00:00
CALCULATOR TECHNIQUES & ASSESSMENT SOLUTIONS

Calculator Techniques
00:00 
Statistics of Rigid Bodies Assessment Solution
00:00 
Calculus Solutions
00:00
Student Ratings & Reviews
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