Class Quantitative Methods I

The main goal of the curricular unit is to introduce students to differential and integral calculus topics and to differential equations. The syllabus was chosen taking into account the studies’ cycle framework and the syllabus of other curricular units, so that students can continue their studies and develop their professional activity.

Not applicable

1) Differential calculus - Average and instantaneous rates of change. - Derivative of a function. Differentiation rules. - Study of the monotonicity of a function and determination of its extrema. - Applications.   2) Integral calculus - Indefinite integral of a function. Integration rules. - Definite integrals. Fundamental Theorem of Calculus. - Applications.   3) Differential equations - Basic concepts. - Separable, homogeneous, linear and Bernoulli first order differential equations. - Applications.

Classes are of theoretical and practical nature, where the theoretical exposition of the syllabus is accompanied by the presentation of practical examples and exercises. The evaluation is carried out taking into account the assessment regulation “Regulamento Geral de Avaliação da Universidade Lusófona”.   Pedagogical innovation practices: Pedagogical practices will be mediated by Information and Communication Technologies, using computers and/or mobile devices. Students will be exposed to interactive educational resources, such as quizzes. Problem-based learning will be promoted, where the students, guided by the teacher, should identify problems and plan and carry out resolution paths. The aim is to improve the teaching and learning process, to provide students with the necessary skills for the challenges that humanity currently faces and to increase their motivation regarding the studies’ cycle.

- Larson, R., e Edwards, B. (2022). Calculus of a single variable (12th edition). Cengage Learning. - Murolo, A., e Bonetto, G. (2012). Matemática Aplicada à Administração, Economia e Contabilidade (2ª edição). Cengage Learning. - Stewart, J., Clegg, D., e Watson, S. (2021). Calculus: Early Transcendentals (9th edition). Cengage Learning.