Mathematics MTH001 Elementary Mathematics MTH100 General Mathematics MTH101 Calculus And Analytical Geometry MTH201 Multivariable Calculus MTH202 Discrete Mathematics MTH301 Calculus II MTH302 Business Mathematics & Statistics MTH303 Mathematical Methods MTH401 Differential Equations MTH501 Linear Algebra MTH601 Operations Research MTH603 Numerical Analysis
 MTH303 - Mathematical Methods Course Page Mcqs Q & A Video Downloads Course Category: Mathematics Course Level: Undergraduate Credit Hours: 3 Pre-requisites: N/A

# Course Synopsis

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

# Course Learning Outcomes

At the end of the course, you should be able to:
• Apply the concept of Fist Order Differential Equations
• Deduce the applications of first order differential equations
• Conclude differential equations of orders with methods of their solutions and homogenous and non-homogenous equations are explained and solved
• Construct the applications of second order differential equations and different vibration models
• To master the techniques for solving systems of linear equations
• Introduce matrix algebra as a generalization of single-variable algebra of high school
• Build on the background in Euclidean space and formalize it with vector space theory

# Course Contents

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

 Course Instructor Dr. Junaid Zaidi, Ph.d University of Birmingham, England (UK) Javascript is disable - Webestools - Vote Service (notation module) Books Differential Equations with Boundary Value Problems by Dennis G.Zill and Michael R. Cullen Mathematical Methods by S.M.Yusuf, Abdul Majeed, Muhammad Amin Mathematical Techniques by Dr.Karamat H.Dar, Irfan-ul-Haq, M.Ashraf Jajja Linear Algebra Demystified by David McMahon Linear Algebra and its Applications by David C. Lay Introductory Linear Algebra with Applications by B. Kolman Introductory Linear Algebra by Howard Anton and Chris Rorres