
 Mathematics 2 Faculty of Mechanical Engineering Field of Study: Mechanical Engineering Lectures 15 h, Practices 15 h The range of the exam (maximum 12 points)
The range of the second written test  maximum 15 points (10.01.2020). 1. Construct the graph of a given function using the algorithm (List 2 Task 5). The range of the first written test  max. 20 points (08.11.2019)
Lists of Tasks:
Useful Formulas:
Lecture Topics:
1.
Application of the Derivative to Construction Tangent and Normal Lines and
of the Differential to Linear Approximation
of Numbers; 2.
Application of the Derivative to Calculation of Limits and Polynomial
Approximation; 3.
Graphing of Functions Using First and Second Derivatives; 4.
Definition of the Indefinite Integral; 5.
Integration by Parts; 6. Integration
by Substitution; 7. Integration of Rational Functions; 9. Integration of Irrational Functions. 10.
Definition of the Riemann Integral; 11. Applications of the Definite Integral. 12. Improper Integral and its Applications.
Graphic Software: Bibligraphy
1. E. Zakon,
Mathematical Analysis I, The Trillia Group, 2004
2.2. B. S.
Schroder, Mathematical
Analysis: A Concise Introduction, JohnWiley&Sons,2008
3. 3.G.M. Fichtenholz, Course
in the Differential and Integral Calculus vol. I, II, III, Nauka, Moscow,
1969.
4.4.
B. Sikora, E. Łobos, A First Course in Calculus, Wydawnictwo
Politechniki ¦l±skiej.
