Fundamental concepts. Real numbers. Inequalities. Trigonometry. Exponential functions and logarithm. Factorials and binomial coefficients. Newton's formula for binomials. Real functions of a real variable. Sequences and limits. Continuous functions. Derivatives and tangent line to the graph of a function. Fundamental theorem of Calculus. Absolute and relative maxima and minima. Trigonometric and exponential functions. Logarithms. Definite and indefinite integral. Numerical series. O.D.E.
Walter Dambrosio
Analisi Matematica fare e comprendere
Zanichelli
Learning Objectives
Basic knowledge of calculus as required by a scientific degree course
Prerequisites
The knowledge of fundamental concepts and ideas of mathematics is required
Teaching Methods
Classroom lessons and training
Further information
None
Type of Assessment
Written exam
Course program
Fundamental concepts. Real numbers. Inequalities. Trigonometry. Exponential functions and logarithm. Factorials and binomial coefficients. Newton's formula for binomials. Real functions of a real variable. Sequences and limits. Continuous functions. Derivatives and tangent line to the graph of a function. Fundamental theorem of Calculus. Absolute and relative maxima and minima. Trigonometric and exponential functions. Logarithms. Definite and indefinite integral. O.D.E. (linear, linear with constant coefficients, separable and autonomous ordinary differential equations)