Course Details:

First Order Differential Equations

• Formation of differential equations
• Solution of differential equations
  • Direct integration
  • Separating the variables
• Homogenous equations
• Integrating factor
• Bernoulli’s equation
• Introduction to Microsoft Excel
  • Using Excel to generate numbers, for instance, from 1 to 1000 and so on.
  • Using Excel to simulate a linear, quadratic or polynomial equation and plot its graph with appropriate labels.
  • Using Excel to simulate linear, quadratic and/or polynomial equations and plot a graph containing curves with appropriate labels.
  • Using Excel to evaluate trigonometry functions, logarithmic functions, exponential functions and so on.
  • Reading excel data in MATLAB and MathCAD and extracting part of the data
• Modelling and simulation of first order systems

Vector Calculus

• Triple products
  • Properties of scalar triple products
  • Coplanar vectors
  • Vector triple products of three vectors
  • Differentiation of vectors
  • Differential of sums and products of vectors
  • Unit tangent vectors
• Partial differentiation of vectors
  • Integration of vector functions
• Scalar and vector fields
  • Gradient of a scalar field
  • Directional derivatives
  • Unit normal vectors
  • Grad of sums and products of scalars
  • Divergence of a vector function
  • Curl of a vector function
  • Multiple operations

Course Details:

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Course Details:

No contents available