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This course is based on the course "mathematics for Economics, Commerce and Management", which was run at IIT Bombay for 8 years. Mathematical tools give a precise way of formulating and analyzing a problem and to make logical conclusions. Knowledge of mathematical concepts and tools have have become necessary for students aspiring for higher studies and career in any branch of Economics, Commerce and Management. Math for ECM aims to strengthen the mathematical foundations of students of Economics, Commerce, and Management. Professionals working in these field, wishing to upgrade their knowledge, will also benefit. The stress of the course will be on building the concepts and their applications. The main topic will be Calculus and its applications. INTENDED AUDIENCE : Students, PhD scholars, teachers, industry PREREQUISITES : Basic School Mathematics
Overview
Syllabus
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Week 1 : Revision of basic concepts from Mathematical financeWeek 2 : Basic set theory and concept of functionsWeek 3 : Limits and Continuity of a function of one variable and its applicationsWeek 4 : Derivative and tools to computeWeek 5 : Application of derivatives in increasing/decreasingWeek 6 : Application of derivatives in optimizationWeek 7 : Functions of several variablesWeek 8 : Applications
