Calculus I
Code
1301
Academic unit
null
Department
null
Credits
7,5
Teacher in charge
Joao Farinha; Simão Correia (Assistente)
Teaching language
Portuguese and English
Objectives
This course allows the students to develop their knowledge on Integral Calculus and Differential Calculus in R. This knowledge is particularly useful in the study and formulation of mathematical models used in the fields of Business and Economics studies.
Prerequisites
N/A
Subject matter
Basic concepts of Logic and Set Theory;
Properties of the real numbers and Topology in R;
Sequences and Series;
Real functions of a real variable. Limit of a function and continuity of a function;
Differential Calculus in R;
Antiderivatives and Integral Calculus.
Bibliography
Adams R. and Essex C., Calculus: A Complete Course, 7th Edition, Pearson Canada, Toronto, 2010.
Sydsaeter K. and Hammond Peter J., Mathematics for Economic Analysis, Prentice- Hall International, Inc.
Trench William F., Introduction to Real Analysis (2013). Books and Monographs.
Book 7.
Resources
Lecture slides.
Exercise sets for the tutorials.
Solved midterms and exams from previous semesters.
Teaching method
Lectures; tutorials; solved exercises and proposed exercises; two midterms and a final exam.
Evaluation method
Regular Exam Period:
Continuous assessment elements (and their weights):
Two midterms: each with a weight of 20% of the final grade.
Final exam (and their weighting):
Normal exam: with a weight of 60% of the final grade.
Resit exam period:
No continuous evaluation.
The exam grade: is the final grade (100%).
Grade improvement in regular period:
Option 1:
Two midterms: each with a weight of 20% of the final grade.
Normal exam: with a weight of 60% of the final grade.
Option 2:
Normal exam: with a weight of 100% of the final grade.
Grade improvement in resit period:
Resit exam grade: is the final grade (100%).