Mathematics (Civil Engineering -1)
Engineering · 33 chapters · 723 sections · about 342 hours
Chapters
33 chapters · 723 sections- 1Linear Differential Equations25 sections
- 2Homogeneous Linear Equations of Second Order16 sections
- 3Second-Order Homogeneous Equations with Constant Coefficients16 sections
- 4Case of Complex Roots13 sections
- 5Complex Exponential Function18 sections
- 6Non-Homogeneous Equations13 sections
- 7Solution by Undetermined Coefficients22 sections
- 8Solution by Variation of Parameters12 sections
- 9Fourier Integrals16 sections
- 10Fourier Cosine and Sine Transforms31 sections
- 11Fourier Transform and Properties26 sections
- 12Dirac Delta Function35 sections
- 13Convolution Theorem16 sections
- 14Parseval’s Theorem12 sections
- 15Fourier Integral to Laplace Transforms38 sections
- 16Partial Differential Equations – Basic Concepts17 sections
- 17Modelling – Vibrating String, Wave Equation21 sections
- 18Separation of Variables, Use of Fourier Series23 sections
- 19Modelling – Membrane, Two-Dimensional Wave Equation22 sections
- 20Rectangular Membrane, Use of Double Fourier Series15 sections
- 21Linear Algebra77 sections
- 22Rank of a Matrix17 sections
- 23Linear Independence19 sections
- 24Vector Space21 sections
- 25Solutions of Linear Systems: Existence, Uniqueness, General Form29 sections
- 26Vector Spaces21 sections
- 27Inner Product Spaces19 sections
- 28Linear Transformations18 sections
- 29Eigenvalues27 sections
- 30Eigenvectors23 sections
- 31Similarity of Matrices16 sections
- 32Basis of Eigenvectors15 sections
- 33Diagonalization14 sections
About this course
Civil engineering, a field that focuses on the design, construction, and maintenance of the built and natural environment, relies heavily on a strong foundation in mathematics. It’s the language that allows engineers to model, analyze, and predict the behavior of complex systems and structures