๐ŸŽ“ 3rd Year University Mathematics

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About Course

Third-year students often specialize in more advanced or applied branches of mathematics. Our support includes modules like abstract algebra, complex analysis, statistics, numerical methods, and mathematical modelling. We focus on conceptual mastery, research-based learning, and preparing students for postgraduate studies or careers in quantitative fields.

What Will You Learn?

  • In APM3700 and MAT3700, you will develop advanced skills in solving and analyzing differential equations, with a strong focus on first-order and higher-order equations, exact equations, and systems of differential equations. You will learn various solution techniques, including integrating factors, separation of variables, and methods for linear and nonlinear systems. The modules also cover applications in physical, biological, and engineering contexts, helping you translate real-world problems into mathematical models.

Course Content

Direct Integration

  • Separable Equation
    00:00

Separable Equations

Exact differential equations

Linear equations

Homogeneous equations

Second-order differential equations with constant coefficients

Method of undetermined coefficients with constant Q

D-Operator Method
The D Operator Method is a systematic technique used for solving linear differential equations with constant coefficients. This method simplifies differential equations by replacing derivatives with an operator ๐ท

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