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Mathematics (Civil Engineering -1)
Explore and master the fundamentals of Mathematics (Civil Engineering -1)
You've not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.Chapter 1
Linear Differential Equations
Chapter 2
Homogeneous Linear Equations of Second Order
Chapter 3
Second-Order Homogeneous Equations with Constant Coefficients
Chapter 4
Case of Complex Roots
Chapter 5
Complex Exponential Function
Chapter 6
Non-Homogeneous Equations
Chapter 7
Solution by Undetermined Coefficients
Chapter 8
Solution by Variation of Parameters
Chapter 9
Fourier Integrals
Chapter 10
Fourier Cosine and Sine Transforms
Chapter 11
Fourier Transform and Properties
Chapter 12
Dirac Delta Function
Chapter 13
Convolution Theorem
Chapter 14
Parseval’s Theorem
Chapter 15
Fourier Integral to Laplace Transforms
Chapter 16
Partial Differential Equations – Basic Concepts
Chapter 17
Modelling – Vibrating String, Wave Equation
Chapter 18
Separation of Variables, Use of Fourier Series
Chapter 19
Modelling – Membrane, Two-Dimensional Wave Equation
Chapter 20
Rectangular Membrane, Use of Double Fourier Series
Chapter 21
Linear Algebra
Chapter 22
Rank of a Matrix
Chapter 23
Linear Independence
Chapter 24
Vector Space
Chapter 25
Solutions of Linear Systems: Existence, Uniqueness, General Form
Chapter 26
Vector Spaces
Chapter 27
Inner Product Spaces
Chapter 28
Linear Transformations
Chapter 29
Eigenvalues
Chapter 30
Eigenvectors
Chapter 31
Similarity of Matrices
Chapter 32
Basis of Eigenvectors
Chapter 33