Mathematics, SPO UniMI – 2018/2019

The course provides the mathematical tools needed to attend successfully the study of economic and financial disciplines.

The students will learn these fundamental topics of Mathematics through theoretical lectures as well as through practice lectures.

The exam consists of a written paper, with theoretical questions as well as exercises.

Schedule

16 Jan 2019

Linear Inequalities

Quadratic Inequalities

Rational Inequalities

Absolute Value Inequalities

22-23 Jan 2019

Functions and their Graphs

Interior points, accumulation points, open sets, close sets, (un)bounded intervals, domain, image: see theoretical lectures

30 Jan 2019

Understanding and computing limits (skip trigonometric functions: sin, cos, tan)

Graphing Functions: domain, limits at boundary points, sign and asymptotes (horizontal, vertical, oblique)

Slant (oblique) asymptote

06 Feb 2019

Derivative Worksheet (skip trigonometric functions)

Graphing with Calculus

13 Feb 2019

Computing Taylor series (skip trigonometri functions)

Duration and Convexity of Bonds and why it matters

Differentiability and Piecewise functions

Complete study of functions (exercises with detailed solutions)

20 Feb 2019

Remainder Estimation Theorem

Mock test on continuity, differentiability and study of functions (get practice with the exercises above)

04-05 Mar 2019

Integrals of rational functions

Integrals: exercises with solutions

12 Mar 2019

Introduction to matrices and exercises

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