T.K.V. Iyengar, Engineering Mathematics, Vol. 1, [Publisher], [Edition], [Year]. (Replace placeholders with edition-specific details found in the PDF.)
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To help you verify if this is the right book for your semester, here is the detailed TOC based on the standard 10th/11th edition: Unit II: Functions of Several Variables
Unit I: Differential Calculus
Unit II: Functions of Several Variables
Unit III: Matrices (Part 1)
Unit IV: Matrices (Part 2)
Unit V: Ordinary Differential Equations (First Order)