What's this?

It's a website of my short notes of my 1st semester of Engineering at University of Moratuwa.

Why?

• Indexable. Exercise books are not. Searching in exercise books takes more time than imaginable.
• Accessible from everywhere.
• Helpful to everyone.

Notes as PDFs

The PDFs automatically updates whenever the content changes. However the format of the PDF may not be perfect.

• Electrical Fundamentals
• Fluid Mechanics | Statics
• Fluid Mechanics | Dynamics
• Maths | Algebra | Vectors
• Maths | Algebra | Matrices
• Maths | Real Analysis
• Maths | ODE
• Maths | Riemann Integration
• Mechanics | Statics
• Mechanics | Dynamics
• Programming Fundamentals
• Properties of Materials | Basics
• Properties of Materials | Mechanical Properties
• Properties of Materials | Electrical Properties
• Properties of Materials | Nanotechnology

Content Included

I am actively updating the content as my semester progresses. Let me know if you find anything missing or wrong.

All the content in this website is shared under CC BY-NC-ND 4.0

Common

Dimensions & Units

Electrical Fundamentals

IntroductionDouble subscript notationCommon TermsCircuit elementsVoltage sourcesResistorsCapacitorsInductorsKirchhoff LawsIntroduction to WavesDefinitions in AC TheoryPhasor RepresentationImpedance & AdmittancePower and Power factorPower systems3-Phased System

Fluid Mechanics

Statics

Introduction to Fluid MechanicsProperties of FluidsHydrostatic PressurePressurePressure MeasurementsPressure HeadHydrostatic ThrustBuoyancyEquilibrium of Submerged BodiesRelative EquilibriumForced Vortex Motion

Dynamics

Introduction to Fluid DynamicsConservation Laws

Mathematics

Algebra

Vectors

Introduction to VectorsVector Equation of Straight LinesVector Equation of PlanesSkew Lines

Matrices

Introduction to MatricesTransposeMatrix multiplicationDeterminantAdjointInverseElementary TransformationsEchelon FormSystem of Linear EquationsRankSolutions of homogenous systemsSolution of non-homogenous systemsEigenvalues & EigenvectorsOrthogonal & Orthonormal VectorsTraceDiagonalization

Real Analysis

Introduction to Real AnalysisSet theorySet of NumbersContinued Fraction ExpansionField AxiomsCompleteness AxiomOrder AxiomsRelationsFunctionsCompositionCountabilityLimitsContinuityContinuity TheoremsDifferentiabilityExtreme ValuesOther TheoremsHigher order derivativesTaylor's Theorem

ODE

Introduction to Differential EquationsSolving First Order ODEHigher Order ODESolving Second Order ODEWronskianVariation of parameters

Riemann Integration

IntroductionRiemann IntegralPartitionRiemann SumRefinementsUpper & Lower integralRiemann IntegrableCauchy CriterionTheorems on IntegrabilityProperties Of Integrals

Mechanics

Statics

Introduction to StaticsDerived Formulas for Common ShapesParallel Axis TheoremPerpendicular Axis TheoremTransformation LawPrincipal AxesBeamsPrinciple of SuperpositionStructural ElementsTrussesAnalysis of TrussesBeam Analogy (Approximate) methodIndeterminate Trusses

Dynamics

Introduction to Dynamics2D kinematics of a rigid bodyMechanismsFour-bar LinkageEpicyclic GearsMobility of MechanismsInversions of a mechanism

Programming Fundamentals

InterningPractice ResourcesOne's & Two's Complement

Properties of Materials

Basics

Introduction to Properties of MaterialsMetalsCeramicsPolymersCompositesCrystal StructureSpace LatticeSummary of the 4Miller IndicesAllotropyDefects in CrystalsFunctional Materials

Mechanical Properties

IntroductionTensile TestDefinitionsFlexural TestCharpy Impact Test

Electrical Properties

IntroductionEnergy Band TheorySemiconductivityDielectric behaviorPiezoelectricityConductive Polymers

Nanotechnology

IntroductionGrapheneCarbon Nanotubes

First 10 weeks of content is updated, totaling to .