Mathematical Analysis I
Instance: 2003/2004 - 1S
Cycles of Study/Courses
Teaching language
Portuguese
Objectives
Revision of some basic ideas about functions, limits and continuity. Differencial Calculus of single variable functions, with applications to maxima and minima problems. Integral Calculus of single variable functions, and its applications to Geometry and Engineering. Study of some first-order differential equations. Infinite series of numbers.
Program
#1. Introduction.
#2. Differential Calculus.
#3. Antiderivatives.
#4. Integral Calculus.
#5. Infinite Series.
Main Bibliography
Lecture notes, including problem sheets.
Complementary Bibliography
"Calculus", 7th edition, Howard Anton, Irl Biven e Stephen Davis, John Wiley (2002).
"Calculus", 6th edition, Edwards and Penney, Prentice-Hall (2002).
Teaching methods and learning activities
Lectures and problem classes.
Software
None.
Evaluation Type
Evaluation with final exam
Eligibility for exams
To obtain frequency, the student must not be absent in more than 3 problem classes without an acceptable justification.
Calculation formula of final grade
Based on the final exam.
Examinations or Special Assignments
None.
Special assessment (TE, DA, ...)
According to the rules defined in FEUP.
Classification improvement
According to the rules defined in FEUP.
Observations
The use of graphing calculators is strongly recommended in this course.