**MTH303: Mathematical Methods**

This course contains many tools to solve different types of differential equations like First-Order Differential Equations, Second Order Differential Equations, and Applications of Linear and Nonlinear differential equations. While the aim of the second segment is to emphasize a system of Linear equations, vector spaces, determinants, and their properties. MTH303 Handouts pdf

# MTH303 Handouts pdf

**Course Category: Mathematics**

**Course Outline**

Separable Equations, Homogeneous Differential Equations, Exact Differential Equations, Integrating Factor Technique, First Order Linear Equation, Bernoulli Equations, Applications of First Order Differential Equations, Radioactive Decay, Applications of Non-Linear Equations, Higher Order Linear Differential Equations, Homogeneous Linear Equations with Constant Coefficients, Method of Undetermined Coefficients ( Superposition Approach), Method of Undetermined Coefficients (Annihilator Operator Approach), Variation of Parameters for Higher-Order Equations, Systems of Linear Equations, Row Reduction and Echelon Forms,Vector Equations, The Matrix Equation, Solution Sets of Linear Systems, Linear Independence, Linear Transformations, The Matrix of a Linear Transformation, Matrix Algebra, Iterative Solutions of Linear Systems, Determinants, Cramer’s Rule and Linear Transformations, Vector Spaces and Subspaces MTH303 Handouts pdf

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**MTH303: Mathematical Methods**

Newton’s law of cooling It is known from experimental observations that the temperature T (t) of an object changes at a rate proportional to the difference between the temperature in the body and the temperature Tm of the surrounding environment. This is what is known as Newton’s law of cooling.