Table of Contents
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.
