А.В. Калинкин
12
Teaching methods for special mathematical disciplines
in the senior years
© A.V. Kalinkin
Bauman Moscow State Technical University, Moscow, 105005, Russia
The article outlines the issues of setting the content of special courses in higher mathe-
matics for undergraduate students of technical specialties. We present the experience and
innovations in teaching methods, based on using model calculations that include stand-
ard problems in educational process. We give sample calculations for the students’
homework on the equations of mathematical physics, methods of optimization, discrete
mathematics, probability theory and mathematical statistics. In particular, we describe
the methodological impact of modern computer-assisted construction of the analytical
solutions of mathematical problems on the students' learning process. We discuss the
psychological aspects of the teachers' work with the students. The problem of improving
the existing technology training is common to the disciplines of physical and mathemati-
cal profile and the higher school.
Keywords:
educational process in university, Bauman Moscow State Technical Universi-
ty, special courses of mathematical disciplines, model calculations, methods of teaching.
REFERENCES
[1]
Ocherki istorii: ot OT do FN
[Essays on History: from OT to FN]. Moscow,
Bauman MSTU Publ., 2005, 176 p.
[2]
Kanatnikov A.N. Metodicheskie aspekty v serii uchebnikov “Matematika v
tekhnicheskom universitete”.
Sbornik trudov “Sovremennye estestvenno-
nauchnye i gumanitarnye problem”
[Methodological aspects in the textbook
series “Mathematics at the Technical University”. Proc. of the “Modern natu-
ral science and humanitarian problems”]. Moscow, Logos Publ., 2005,
pp. 670–679.
[3]
Chudesenko V.F.
Sbornik zadaniy po spetsial'nym kursam vysshei matematiki.
Tipovye raschety
[Collection of tasks on special courses in higher mathematics.
Model calculations]. 2nd ed., Moscow, Vysshaya shkola Publ., 1999, 126 p.
[4]
Ismagilov R.S., Kalinkin A.V.
Algoritmy na grafakh
[Graph algorithms]. Pre-
print. Moscow, Bauman MSTU Publ., 1995, 24 p.
[5]
Ismagilov R.S., Kalinkin A.V., Stantso V.V.
Kombinatorika i bulevy funktsii
[Combinatorics and Boolean functions]. Preprint. Moscow, Bauman MSTU
Publ., 1998, 40 p.
[6]
Ismagilov R.S., Kalinkin A.V.
Elementy matematicheskogo programmirovani-
ia
[Elements of mathematical programming]. Preprint. Moscow, Bauman
MSTU Publ., 1999, 24 p.
[7]
Kalinkin A.V.
Sluchainye protsessy v estestvoznanii: Diskretnoe fazovoe pros-
transtvo
[Stochastic processes in science: Discrete phase space]. Preprint.
Moscow, Bauman MSTU Publ., 1999, 40 p.
[8]
Ismagilov R.S., Kalinkin A.V., Stantso V.V.
Grafy
[Graphs]. Preprint. Mos-
cow, Bauman MSTU Publ., 1999, 40 p.
[9]
Ismagilov R.S., Kalinkin A.V., Stantso V.V.
Nelineinoe i dinamicheskoe pro-
grammirovanie
[Nonlinear and dynamic programming]. Preprint. Moscow,
Bauman MSTU Publ., 2007, 42 p.
