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MA713 Mathematical Methods for Engineers

Course Plan

Lecture Notes

• L-01 Introduction to Vector Spaces
• L-02 Linear Independence, Basis and Dimension
• L-03 Linear Transformations
• L-04 First Order Partial Differential Equations
• L-05 Linear Partial Differential Equations of High Order with Constant Coefficients
• L-06 Applications of Partial Differential Equations

Problem Sheets

• PS-01 Vector Spaces
• PS-02 Subspaces
• PS-03 Linear Combinations
• PS-04 Linear Dependence and Linear Independence
• PS-05 Bases and Dimension
• PS-06 Linear Transformations, Null Spaces, and Ranges
• PS-07 Matrix Representation of a Linear Transformation
• PS-08 Composition of Linear Transformations and Matrix Multiplication
• PS-09 Invertibility and Isomorphisms
• PS-10 Change of Coordinate Matrix