Revision Topics and Sub-topics

Dynamics Rigid bodies Linear Dynamics of particles suvat Equation of Motion Work and Energy Linear momentum Collisions Linear Dynamics of Rigid Bodies Differentials of velocities and accelerations Equations of Motion Work and Energy Planar dynamics of Particles Rectangular and Polar coordinates Equation of Motion Work and Energy Linear momentum Collisions Angular Momentum Satellite applications Planar Kinematics of Rigid bodies Velocity of fixed point on body Velocity of point moving relative to body Application to mechanisms Internal combustion engine velocities Acceleration of fixed point on body Acceleration of point moving relative to body Application to mechanisms Internal combustion engine accelerations Planar Kinetics of Rigid Bodies Equations of Motion Rotation about a fixed axis Work and Energy Linear Momentum Angular Momentum Application to Mechanisms Inertial Stresses Internal combustion engine Forces Machines Friction, Clutches and Disk Brakes Friction Screw Threads Clutches and Disk Brakes Belts and Bearings Belts and Pulleys Bearings and Lubrication Gears Gears Balancing Rotating machinery Reciprocating MachineryMaterials Properties of Materials Material Properties Stiffness and strength Toughness Plasticity Material Selection Design Material indices Process Material Structure Bonding Crystallinity Crystal Directions Deformation Slip Dislocations Strengthening Polymers and composites (no foams) Polymers Composites Mechanics of Materials General Theory Stress Elementary cube of material Tensors Strain Max shear Value Mohrs DiagramEngineering maths Algebra and Calculus Complex Numbers Functions Vectors Matrices Eigenvalues and Eigenvectors Graphical Interpretation Differentiation Sequences and Series Integration Partial Fractions Probability Terminology Conditional Probability Random Variables Continuous Random variables Probability Distributions Exponential and Normal Distributions ODEs Classification Separation of variables Integrating factors Constant-coefficient ODEs Higher-order constant-coefficient ODEs Non-homogeneous ODEs Numerical MethodsFluids Fluid Statics Fluid Behaviour Flow Similarity 1D Fluid Flow Control Volume Analysis Potential flow