Calculus I

Year
1
Academic year
2023-2024
Code
01002023
Subject Area
Mathematics
Language of Instruction
Portuguese
Mode of Delivery
Face-to-face
Duration
SEMESTRIAL
ECTS Credits
7.5
Type
Compulsory
Level
1st Cycle Studies

Recommended Prerequisites

High School Mathematics.

Teaching Methods

The theoretical lectures are predominantly expository. In practical classes the students will solve exercises under the guidance of the instructor. In the theoretical classes it will prevail a strong interaction between concepts and their practical application, giving, as much as possible, a central role to visualization and analysis of particular situations before making a progressive approach to more abstract notions. The transformation of concepts into working tools will be achieved by encouraging personal work. The formal lectures will be complemented by periods of individual attendance.

Learning Outcomes

To provide students with basic knowledge of differential and integral calculus for real functions as well as the fundamental concepts in the study curves in the plan. It is intended that the students acquire computational skills, and abilities to solve first order differential equations. It is also intended that the students acquire an understanding of the concepts that will enable them to evaluate the scope and limitations of the materials studied and their applications.

Work Placement(s)

No

Syllabus

Functions of one real variable

Limits, continuity and derivatives

The definite integral and its applications

Improper integrals

First order differential equations (separable variables and linear differential equations) and applications

Parametric equations and polar coordinates (study of curves)

Head Lecturer(s)

Raquel Susana Giraldes Caseiro

Assessment Methods

Final Assessment
Exam: 100.0%

Continous Assessment
Mini Tests: 30.0%
Frequency: 70.0%

Bibliography

Stewart, J. Cálculo , 4ª ed., Vol 1 e Vol.2 , Pioneira, São Paulo, 2001

Carvalho e Silva, J., Princípos de Análise Matemática Aplicada, McGraw-Hill, Lisboa, 1994

Campos Ferreira, J., Introdução à Análise Matemática, Fund. Calouste Gulbkenkian, 1993