Course Instructors: P. Flondor, R. Gologan, Gh. Oprisan, O. Stanasila, M. Olteanu.

Nature of the number and functional sequences and series, computation with partial derivatives, computation of the various types of integrals, Fourier's series, computation of some complex integral using the residue theorem.

Syllabus:

• Sets.
• Real and complex sequences.
• Metric spaces.
• Successive approximations.
• Real and complex series.
• Functional series.
• Power series.
• Taylor's series, Fourier Series Particular subsets; continuous applications.
• Differentiation, partial derivatives, holomorphic functions.
• Using differentiability to the study of the functions.
• Improper integrals, integral dependent on a parameter.
• Elements of functional analysis Line integrals, differential forms.
• Double and triple integrals. Integral formulas. Residue theorem and applications.