Succesful student will gain deep and wide knowledge of the subject.
Tom M. Apostol: Calculus, Volume 2, Multi-variable calculus and linear algebra with applications to differential equations and probability, Wiley, New York, 1969
W. E. Boyce, R. C. DiPrima: Elementary differential equations. Wiley, New York 1992
W. Rudin: Principles of Mathematical Analysis. McGraw-Hill Book Company, New York 1964