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Available courses

ENGINEERING MATHEMATICS

Course Summary: Engineering Mathematics

Course Description:

Engineering Mathematics is a foundational course designed to equip students with the mathematical tools and analytical techniques necessary for solving engineering problems. It includes a study of advanced calculus, linear algebra, differential equations, complex analysis, and numerical methods, with applications in various engineering fields.

Course Objectives:

  • To develop the ability to model physical systems using mathematical concepts.

  • To provide a strong foundation in calculus, algebra, and differential equations.

  • To introduce numerical and analytical methods for problem-solving.

  • To enhance logical reasoning and mathematical thinking skills.

Major Topics Covered:

  1. Linear Algebra:

    • Matrices and determinants

    • Systems of linear equations

    • Eigenvalues and eigenvectors

    • Vector spaces

  2. Calculus:

    • Limits, continuity, and differentiability

    • Partial differentiation and applications

    • Multiple integrals and their applications

    • Vector calculus (gradient, divergence, curl, line and surface integrals)

  3. Differential Equations:

    • First and second-order ordinary differential equations (ODEs)

    • Solutions of linear differential equations

    • Applications in physical and engineering systems

    • Laplace transforms and their applications

  4. Complex Numbers and Complex Analysis:

    • Complex functions

    • Analytic functions

    • Cauchy’s theorem and integral formula

    • Taylor and Laurent series

    • Residue theorem

  5. Numerical Methods:

    • Solutions of nonlinear equations

    • Numerical integration and differentiation

    • Numerical solutions to ODEs

    • Interpolation and curve fitting

  6. Probability and Statistics (optional/extended):

    • Probability distributions

    • Descriptive statistics

    • Hypothesis testing

    • Regression and correlation

Learning Outcomes:

By the end of the course, students should be able to:

  • Apply mathematical methods to analyze engineering systems.

  • Solve differential equations relevant to mechanical, electrical, and civil engineering.

  • Use linear algebra in systems modeling and control.

  • Implement numerical methods for engineering simulations.

  • Interpret and analyze data using probability and statistics (if included)