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ABOUT THE COURSE:
Complex analysis is one of the fundamental mathematical subjects that is introduced to undergraduate and postgraduate students of Mathematical Science, Engineering, and Technology programmes. Real analysis (or Single-Variable Calculus) is introduced in some form at the Higher Secondary Level, whereas Complex analysis is introduced in the next level. Complex analysis contain some of the most powerful and beautiful tools in Mathematics, which are required to solve many mathematical problems. For example, some indefinite integrals (that cannot be handled through real analysis techniques) can be evaluated using contour integration and residue theorems. Apart from higher mathematics, complex analysis has wide applications in Engineering and Physics. My plan for this course is to go through the relevant concepts rigorously so that students who are interested in higher mathematics should benefit, as well as students who are from engineering background should also be able to apply those concepts in engineering and technology fields.
INTENDED AUDIENCE: Second year UG level students who completed basic Real Analysis and basic Linear Algebra courses are eligible to take this course. First year PG students are eligible to take this course.
PREREQUISITES: Basic Real Analysis and Basic Linear Algebra courses are required for this proposed course. Second year UG level students who completed basic Real Analysis and basic Linear Algebra courses are eligible to take this course. First year PG students are eligible to take this course.
Complex analysis is one of the fundamental mathematical subjects that is introduced to undergraduate and postgraduate students of Mathematical Science, Engineering, and Technology programmes. Real analysis (or Single-Variable Calculus) is introduced in some form at the Higher Secondary Level, whereas Complex analysis is introduced in the next level. Complex analysis contain some of the most powerful and beautiful tools in Mathematics, which are required to solve many mathematical problems. For example, some indefinite integrals (that cannot be handled through real analysis techniques) can be evaluated using contour integration and residue theorems. Apart from higher mathematics, complex analysis has wide applications in Engineering and Physics. My plan for this course is to go through the relevant concepts rigorously so that students who are interested in higher mathematics should benefit, as well as students who are from engineering background should also be able to apply those concepts in engineering and technology fields.
INTENDED AUDIENCE: Second year UG level students who completed basic Real Analysis and basic Linear Algebra courses are eligible to take this course. First year PG students are eligible to take this course.
PREREQUISITES: Basic Real Analysis and Basic Linear Algebra courses are required for this proposed course. Second year UG level students who completed basic Real Analysis and basic Linear Algebra courses are eligible to take this course. First year PG students are eligible to take this course.
