2024

Arithmetic and Algebra

Name: Arithmetic and Algebra
Code: MAT01646L
5 ECTS
Duration: 15 weeks/130 hours
Scientific Area: Mathematics

Teaching languages: Portuguese
Languages of tutoring support: Portuguese
Regime de Frequência: Presencial

Sustainable Development Goals

Learning Goals

Deepening and consolidation of a zest for discovery, innovation in teaching mathematics and mathematics. Aquisition of basic cultural skills for teaching diverse elementary mathematical domains (theory of sets and relations, enumeration).

Contents

1 Severability. Primes. Fundamental theorem of arithmetic. Euclidean algorithm. Greatest common divisor and least common multiple. Notable numbers and sequences: Fibonacci numbers, the golden section.
2. Fractions and operations with fractions. Decimal representation. Ratios and proportions.
3. Rational numbers. Real numbers. Functions and their graphs. Polynomials and rational expressions.
4. Notion of the group. Symmetric groups. Elements of linear algebra: linear spaces, linear systems, matrices, determinants.

Teaching Methods

Exposure to exemplification of interaction activities between theory and practice, monitoring of individual and group work done by students. Discussion of the work and written tests.

Teaching Staff

Back