ECTS
ECTS Course Catalogue
Course details
Course code: IGS10772o15Semester: 2015/2016 winter
Name: Math Analysis I
Major: Geodesy and Cartography
Study Type: first cycle
Course type: compulsory
Study Semester: 1
ECTS points: 7
Hours (Lectures / Tutorials / Other): 30 / 30 / 0
Lecturer: dr hab. Ryszard Deszcz
Language of instruction: Polish / English
The course taught in English if the group has ≥6 students. The course taught in Polish with a possibility of support in English if the group has <6 students
Learning outcomes: Knowledge: Understands the civilization’s significance of mathematics and its applications. Knows basic theorems from selected sections of mathematics. Knows elements of differential and integral calculus of functions of one variable.
Skills: Use differential calculus of a function of one variable to the investigation of a function of one variable, use integral calculus of a function of one variable to compute of given geometrical quantities, solve differential equations of some types.
Social competences (attitudes): knows limitations of his/her own knowledge and understands the need for further education, understands and appreciates the importance of intellectual honesty in his/her own activities and those of other people; behaves ethically.
Competences: Finishing the course enables the student to examine natural phenomena and processes and provides a background for the further study on Mathematical Analysis II, Physics, Statistics, Adjustment, Geodesy and Applied Mathematics.
Competences:
Prerequisites: Mathematics on the secondary school level (comprehensive secondary school of a general profile)
Course content: Limit of a sequence, limits, continuity and derivatives of a function of one variable, Lagrange’s theorem, de L’Hospital’s rule, Taylor formula, investigation of the shape of a function of one variable, number series, tests for convergence of series, power series, indefinite integrals, definite integrals, Leibniz–Newton formula, improper integrals, first-order ordinary differential equations, second–order ordinary differential equations, Cauchy problem, applications.
Recommended literature: Heinbockel, J.H., Introduction to Calculus, Vol. I, Vol. II, 2012. (Paper or electronic copies for noncommercial use may be made freely without explicit permission of the author. All other rights are reserved). Trench W.F., Introduction to real analysis, Free Edition 1.06, January 2011. ISBN 0-13-045786-8. (this book was published previously by Pearson Education).
Assessment methods: Obligatory completion of tutorials, a written exam. Minimum required for passing: 50%.
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