A basic outline of the syllabus for the course can be found at this link under Math 5112 .
Schedule: The class meets twice a week, Monday/Thursday 3.30 - 5 pm.
References:
There is no one book that will be linearly followed. However, most of the material covered in class should be found in some guise in one of the following standard references:
(A) Miller, Peter D. Applied asymptotic analysis. Graduate Studies in Mathematics, 75. American Mathematical Society, Providence, RI, 2006. xvi+467 pp.
(B) Murray, J. D. Asymptotic analysis. Second edition. Applied Mathematical Sciences, 48. Springer-Verlag, New York, 1984. vii+164 pp.
Thanks: I am generally indebted to my friend and colleague Harsha Hutridurga for allowing me to blatantly steal much of the material from an earlier iteration that he taught.
Contact information:
Email: mathmukherjee@gmail.com or mukherjee@math.iitb.ac.in
Office: G3 -E, Math Department (ground floor from the corridor entrance, first floor from the front entrance)
General advice: It is highly recommended that you consult other standard texts in the field, to appreciate different tastes in selection of materials, or differing slants on the same material.