Mathematical analysis II / Calculus II, Fall 2021
(Analiza II - Infinitezimalni račun)

     

Mathematical analysis II / Calculus II
• Derivatives. Equation of the Tangent to a Graph. Linear Approximation. ( Odvodi. Enačba tangente na graf funkcije. Linearna aproksimacija.)		slov.	engl.	solutions
• Taylor Polynomial. Finding Extrema. ( Taylorjev polinom. Iskanje ekstremov.)		slov.	eng.	solutions
• L'Hospital's Rule. Convexity and Concavity of Functions. ( L'Hospitalovo pravilo. Konveksnost in konkavnost funkcije.)		slov.	eng.	solutions
• Graph Sketching of Functions (Skiciranje grafa funkcije)		slov.	eng.	solutions
• Integration by Substitution. Integration by Parts. Integration of Rational Functions. (Metoda integriranja s uvedbo nove spremenjivke. Metoda integriranja z integracijo po delih. Integracija racionalnih funkcij.)		slov.	eng.	solutions
• Definite Integral Concept. Integral as a Function of the Upper Limit. Areas of Regions. (Pojem določenega integrala. Integral kot funkcija zgornje meje. Ploščine območij.)		slov.	eng.	solutions
• Volumes of Solids of Revolution. Arc Length of a Curve. Surface Area of Solids of Revolution. ( Prostornina rotacijskih teles. Dolžina loka krivulje. Površina rotacijskih teles.)		slov.	eng.	solutions
• Improper Integrals. Sequence of Functions and Uniform Convergence. (Nepravi integrali. Zaporedje funkcij. Enakomerna konvergenca.)		slov.	eng.	solutions
• Generalized (Improper) Integrals. Integral Test. (Posplošeni --nepravi/izlimitirani-- integrali. Integralski kriterij.)		slov.	eng.	solutions
• LaTeX code for all mathematical problems -- version fall 2021 (LaTeX koda za vse matematične naloge -- različica jesen 2021)		slov.	eng.	solutions

I have solutions to all the problems from this webpage. If you are interested in the solutions, please contact me at
Safet.Penjic@iam.upr.si

Please note that the problems on the webpage are a work in progress, so mistakes may occur. If you spot any errors, feel free to report them to Safet.Penjic@iam.upr.si