Engineering Mathematics
Discrete mathematics, linear algebra, calculus, probability and statistics.
My progress
No concepts built yet
PYQ counts by topic and year, and the topic-wise trend, appear here after official papers are ingested.
Concepts
Propositional logic
PlannedFirst order logic
PlannedSets and set identities
PlannedRelations and their properties
PlannedEquivalence relations and partitions
PlannedFunctions: injective, surjective, bijective
PlannedPartial orders, Hasse diagrams and lattices
PlannedSemigroups, monoids and groups
PlannedSubgroups, cyclic groups and Lagrange's theorem
PlannedGraph connectivity and trees
PlannedEuler and Hamiltonian paths
PlannedMatching
PlannedGraph colouring
PlannedPlanar graphs and degree sequences
PlannedCounting: permutations and combinations
PlannedPigeonhole and inclusion-exclusion
PlannedRecurrence relations
PlannedGenerating functions
PlannedMatrices and operations
PlannedDeterminants
PlannedSystems of linear equations and rank
PlannedEigenvalues and eigenvectors
PlannedLU decomposition
PlannedLimits
PlannedContinuity and differentiability
PlannedMaxima and minima
PlannedMean value theorems
PlannedIntegration
PlannedProbability axioms and counting-based probability
PlannedConditional probability and Bayes' theorem
PlannedRandom variables, expectation and variance
PlannedBinomial and Poisson distributions
PlannedUniform, exponential and normal distributions
PlannedMean, median, mode and standard deviation
PlannedSyllabus map
Every line of the official syllabus, and what covers it.
Discrete Mathematics
- Propositional logicplanned
- First order logicplanned
- Setsplanned
- Relationsplanned
- Functionsplanned
- Partial orders and latticesplanned
- Monoidsplanned
- Groupsplanned
- Graphs: connectivityplanned
- Graphs: matchingplanned
- Graphs: colouringplanned
- Combinatorics: countingplanned
- Combinatorics: recurrence relationsplanned
- Combinatorics: generating functionsplanned
Linear Algebra
- Matricesplanned
- Determinantsplanned
- System of linear equationsplanned
- Eigenvalues and eigenvectorsplanned
- LU decompositionplanned
Calculus
- Limitsplanned
- Continuity and differentiabilityplanned
- Maxima and minimaplanned
- Mean value theoremplanned
- Integrationplanned
Probability and Statistics
- Random variablesplanned
- Uniform distributionplanned
- Normal distributionplanned
- Exponential distributionplanned
- Poisson distributionplanned
- Binomial distributionplanned
- Mean, median, mode and standard deviationplanned
- Conditional probability and Bayes theoremplanned