Calculus Problems

Marco Baronti was born in Genova in 1956. Since 1990 he is Associate Professor in Mathematical Analysis at the University of Genova. His scientific interests are mainly in Functional Analysis and in particular in Geometry of Banach Spaces. Filippo De Mari was born in Genova in 1959. In 1987 he received his Ph.D. from Washington University in St. Louis, USA. Since 1998 he is Associate Professor in Mathematical Analysis at the University of Genova. His scientific interests are mainly in Harmonic Analysis, Representation Theory and Lie Groups. Robertus van der Putten was born in Sanremo in 1959. In 1989 he received his Ph.D. from the University of Milan. Since 1990 he is Researcher in Mathematical Analysis at the University of Genova. His scientific interests are mainly in Calculus of Variations. Irene Venturi was born in Viareggio in 1978. In 2009 she received her Ph.D. from the University of Genova and in 2011 a Masters in Security Safety and Sustainibility in Transportation Systems. She is a teacher in Mathematics and has several editorial collaborations.

• 1 Manipulation of Graphs.- 2 Invertible Mappings.- 3 Sequences.- 4 Maxima, minima, least upper bound, greatest lower bound.- 5 Limits of functions.- 6 Continuous Functions.- 7 Differentiable Functions.- 8 Taylor Expansions.- 9 Geometry of functions: extrema and convexity.- 10 Indefinite and Definite Integrals.- 11 Improper Integrals and Integral Functions.- 12 Numerical Series.- 13 Separation of Variables.- 14 First Order Linear Differential Equations.- 15 Constant Coefficient Differential Equations.