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...Department of economics issn discussion paper mathematical a reader birendra k rai chiu ki so and aaron nicholas abstract this is modeled as hypothetical first lecture in graduate microeconomics or course we start with detailed scrutiny the notion utility function to motivate describe common patterns across concepts results that are used by economists process arrive at classification terms which state usefulness scheme illustrated help fixed point theorems arrow s impossibility theorem several appendices provide step wise description some often few useful keywords mathematics set theory corresponding author monash university clayton vic australia email edu au school business deakin burwood all rights reserved no part may be reproduced any form stored retrieval system without prior written permission where do economic agents operate let us consider standard question consumer what will optimal consumption bundle an agent given her amount money she plans spend prices goods formulating two...