Civil Engineering (CE) SyllabusEngineering Mathematics
- Algebraic operations and equations
- Matrices and determinants
- Vector algebra
- Calculus and its applications
- Complex numbers
- Probability and statistics
Linear Algebra
- Vector spaces and subspaces
- Linear independence and basis
- Linear transformations
- Eigenvalues and eigenvectors
- Orthogonality and inner product spaces
Calculus
- Real numbers and functions
- Limits and continuity
- Differentiation and its applications
- Integration and its applications
- Sequences and series
Differential Equations
- First-order ordinary differential equations
- Second-order ordinary differential equations
- Higher-order ordinary differential equations
- Systems of differential equations
- Laplace transforms
Complex Variables
- Complex numbers and their properties
- Functions of a complex variable
- Analytic functions and their properties
- Complex integration
- Residue theory and its applications
Probability and Statistics
- Probability axioms and rules
- Random variables and probability distributions
- Descriptive statistics
- Statistical inference
- Hypothesis testing
Numerical Methods
- Numerical approximation and interpolation
- Numerical differentiation and integration
- Solution of linear and nonlinear equations
- Numerical solutions of ordinary differential equations
- Error analysis and stability
Vector Calculus
- Vector fields
- Line and surface integrals
- Gradient, divergence, and curl
- Green's, Stokes', and Gauss' theorems
- Applications to fluid flow and electromagnetism
Propositional Logic
- Logical connectives and truth tables
- Logical equivalences and implications
- Predicate logic and quantifiers
- Proof techniques and mathematical reasoning
- Applications to mathematical proofs
Set Theory & Algebra
- Sets and operations
- Relations and functions
- Equivalence relations and partitions
- Groups, rings, and fields
- Linear algebraic structures
Graph Theory
- Graph terminology and basic concepts
- Graph connectivity and paths
- Graph coloring and planarity
- Trees and spanning trees
- Network flows and optimization
Combinatorics
- Counting principles and techniques
- Permutations and combinations
- Graph theory and combinatorial designs
- Generating functions and recurrence relations
- Applications in scheduling and optimization
This course is helpful for the following exams: Civil Engineering (CE), Computer Science Engineering (CSE), Electrical Engineering (EE), Electronics and Communication Engineering (ECE), Engineering Mathematics , Mechanical Engineering