Sahithyan's S1
What's this?
I have included all my 1st semester short notes of Engineering as a website. Maintaining this notes helped me get 4.0 GPA in my first semester.
Why?
- Indexable. Exercise books are not.
- Accessible from everywhere.
- Helpful to everyone.
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You can support my work through my page on Buy Me a Coffee.
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 from the internet or from the lecture notes.
Electrical Fundamentals (EE1040)
Basics
Electrical Installation
Fluid Mechanics (CE1023)
Mathematics (MA1014)
Vectors
Matrices
IntroductionMatrix MultiplicationTransposeMore Types of MatricesDeterminantAdjointInverseElementary TransformationsEchelon FormSystem of Linear EquationsRankSolutions of Homogenous SystemsSolution of Non-homogenous SystemsEigenvalues & EigenvectorsOrthogonalOrthonormalTraceDiagonalizationCayley-Hamilton TheoremMatrix Norms
Complex Analysis
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
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