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This course aims to develop and strengthen students’ mathematical intuition and problem-solving abilities by an exploration of core concepts and logical foundations of mathematical analysis. Students will be trained to think like a mathematician – viz., question assumptions, construct valid arguments and appreciate the beauty of mathematical structure. Real-world interpretations and illustrative examples will be used to aid understanding. By the end of the course, the students will gain confidence in handling abstract concepts, creating and understanding proofs and applying analytical techniques across varied mathematical areas.