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Sahithyan's S1
Sahithyan's S1

What's this?

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

All modules other than Mechanics, are fully updated, totaling to 224 pages. Mechanics module will soon be updated, before the final exam. Let me know if something is missing or you find anything wrong.

This wouldn't be possible without the help of my friends. Huge thanks for everyone involved. Want to support this effort? Star the sahithyandev/s1 repository on GitHub.

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 are automatically generated. Formatting may not be perfect.

Content Included

All the content except the images in this website is shared under CC BY-NC-ND 4.0 .
Images are either mine, or one of my friend's or from the internet or from the lecture notes.

Common

Dimensions & Units

Electrical Fundamentals

Basics

IntroductionGeneration of ElectricityCommon TermsCircuit elementsResistorsCapacitorsInductorsKirchhoff LawsWavesAC TheoryPhasor RepresentationImpedance & AdmittancePower and Power factorPower systemsLab Apparatus3-Phased System

Electrical Installation

IntroductionFusesCircuit BreakerELCBRCCBMCBRCDEarthingHousehold WiringInstallation TestsElectric Shock

Fluid Mechanics

Statics

IntroductionProperties of FluidsHydrostatic PressurePressure MeasurementsHydrostatic ThrustBuoyancyRelative EquilibriumForced Vortex Motion

Dynamics

IntroductionConservation LawsDerivationsLosses

Machinery

IntroductionPumpsCentrifugal PumpsTurbines

Mathematics

Vectors

IntroductionSection FormulaStraight LinesPlanesSkew Lines

Matrices

IntroductionMatrix MultiplicationTransposeMore Types of MatricesDeterminantAdjointInverseElementary TransformationsEchelon FormSystem of Linear EquationsRankSolutions of Homogenous SystemsSolution of Non-homogenous SystemsEigenvalues & EigenvectorsOrthogonalOrthonormalTraceDiagonalizationCayley-Hamilton TheoremMatrix Norms

Complex Analysis

IntroductionRoots of UnityComplex FunctionsLimitsContinuityDifferentiabilityAnalytic FunctionsCauchy-Riemann EquationsEntire Functions

Real Analysis

IntroductionSet theorySet of NumbersContinued Fraction ExpansionField AxiomsCompleteness AxiomOrder AxiomsRelationsFunctionsCompositionCountabilityLimitsKnown LimitsContinuityContinuity TheoremsDifferentiabilityExtremumsOther TheoremsHigher Order DerivativesTaylor's TheoremSequenceCauchy SequenceSubsequenceSeriesConvergence TestsKnown SeriesAlternating SeriesStrategy for SeriesPower SeriesTaylor SeriesSequence of FunctionsUniformly CauchySeries of FunctionsRiemann Zeta Function

ODE

IntroductionSolving First Order ODEHigher Order ODESolving Second Order ODEWronskianVariation of parameters

Riemann Integration

IntroductionPartitionRiemann SumRefinementsUpper & Lower integralRiemann IntegrableCauchy CriterionTheorems on IntegrabilityProperties of IntegralsSequential Characterization of IntegrabilityIVT for IntegralsGenerlized IVTConverging FunctionsFundamental Theorem of CalculusImproper Riemann IntegralsGamma functionBeta function

Mechanics

Statics

IntroductionParallel Axis TheoremPerpendicular Axis TheoremTransformation LawPrincipal AxesBeamsPrinciple of SuperpositionStructural ElementsTrussesAnalysis of TrussesBeam Analogy (Approximate) methodIndeterminate Trusses

Dynamics

Introduction2D kinematics of a rigid bodyMechanismsFour-bar MechanismEpicyclic GearsMobility of MechanismsVelocity & Acceleration DiagramInversions of a mechanism

Programming Fundamentals

A book

IntroductionInterningPractice Resources

B book

IntroductionNumber SystemsData RepresentationIntegersFloating-point NumbersStringsData TypesAlgorithmsSoftware Engineering

C book

IntroductionComputer HardwareCPUCPU InstructionsCPU Support ChipsComputer MemoryVon Neumann ArchitectureSecondary StorageMagnetic StorageComputer SoftwareOperating SystemEmbedded SystemArduinoTrends in Computing

Properties of Materials

Basics

IntroductionStructure of AtomsMetalsCeramicsPolymersCompositesCrystal StructureSpace LatticeSummary of the 4Miller IndicesAllotropyDefects in CrystalsFunctional MaterialsSelection of Materials

Mechanical Properties

IntroductionDuctilityFractureElasticityPoisson's ratioTensile TestStress Strain PlotFlexural TestDuctile-Brittle TransitionWork HardeningToughnessCharpy Impact TestHardnessIndentation Test

Electrical Properties

IntroductionEnergy Band TheorySemiconductivityDielectric behaviorPiezoelectricityConductive Polymers

Nanotechnology

IntroductionGrapheneCarbon Nanotubes

Degradation

IntroductionDegradation of MetalsForms of CorrosionPrevention of CorrosionDegradation of Polymers