Moment about a point (Practical Examples): Stactics
M = F * d
Moment of a force (2 and 3 forces) acting at a point
Definition of terms
Center of Gravity
Uniform Bar or Beam
Non-Uniform Bar or Beam
Mass and Weight
Moment about a point: Stactics
Moment is the result of a turning effect of a force about a point. It is the product of the force and the perpendicular distance it covers. For equilibrium to hold clockwise moment – Anti clockwise moment.
Games theory
Explain the importance of games theory in decision making
Describe various types of games
Represent games in matrix form
Learn techniques of finding strategies and values of two-person zero-sum games using pure and mixed strategies
Modelling
Explain the concept and importance of modelling
Distinguish between dependent and independent variables in modelling
Give examples of models
State methodology of model building
Explain the solution of problems in modelling
Give application to physical, biological, social and behavioural services
Stactics
Know and use forces, their resultant forces.
Find moment of two or three forces acting at a point
Understand the polygon of forces and forces of friction and resolve them
Conic sections
Know the equations of parabola, ellipse and hyperbola in a rectangular cartesian coordinates and parametric equations.
To recognize practical solid shapes of parabolic, elliptic, and hyperbolic types.
Matrices & determinants(2*2, 3*3) – continuation
Understanding the array as a linear transformation
Finding determinants and apply to solve simultaneous equations in two or three unknowns
Concept Of Motion (II)
Use concepts of motion to solve problems involving motion under gravity in one dimension
Concept Of Motion
Use concepts of motion to solve problems involving the composition of velocities and accelerations
Statics
At the end of this lesson, the students should be able to understand Statics
Binary Operations Part 2
At the end of this lesson, the students should be able to understand Binary Operations
Binary Operations Part 1
At the end of this lesson, the students should be able to understand Binary Operations
Change of Base Formula: Logarithm
Change of Base Formula: Logarithm
Integration
Students should be able to understand integration as the reverse process of differentiation
Integrate Algebraic polynomials including 1/X
Apply integration to kinematics problems, including velocity-time graphs
Use the definite integral to calculate the area under a curve
Partial fractions
Students should be able to resolve rational functions into partial fractions (degree of numerator less than
that of numerator which is less than or equal to 4)
Matrices & determinants(2*2, 3*3)
Understanding the array as a linear transformation
Finding determinants and apply to solve simultaneous equations in two or three unknowns
Inequalities
Solve quadratic inequalities and inequalities in two dimension
Replacement model
Understand the concept of replacement of items.
Identify the various type of replacement analysis
Solve problems on replacement of sudden failure items
Solve problems on items that wear off gradually
Inventory model
Explain the concept of inventory
Define important terms in inventory
Compute the optional quantity in inventory model
Dynamics II
State Newtons laws of motion
Explain clearly each of the laws
Apply Newtons laws to practical problems
Solve problems on motion along on inclined plane
Work down equations of motion of connected particles
Explain the concepts of work, energy and power
Solve problems on work, energy and power
Solve problems on impulse and momentum
Understand the concept of projectiles
Solve problems on motion of projectiles