Mathematical induction ; sequence and series of real numbers, Taylor series expansions of elementary functions ; Fourier series ; matrices and determinants, systems of linear equations, eigenvalues and eigenvectors ; surfaces in three-dimensional space ; limit, continuity, differentiation and integration of real-valued functions of several several variables variables and their applications. applicatio ns.
1) Howard Anton, Irl Bivens Biv ens and Stephen Stephen Davis (2002) Calculus Calculu s with Analytic Geometry Geometry 7 ed., New York: John Wiley & Sons. (QA303 A5766c 2002) 2) George B. Thomas, Jr., Ross L. Finney, Finn ey, Maurice Maurice D. Weir and Frank R. G iordano (2003) Thomas' Thomas ' th