ECTS - University of Pisa
Scheda programma d'esame
CALCULUS I - MATHEMATICAL EXERCISES
MAURO SASSETTI
Academic year2016/17
CourseCHEMISTRY
Code013AA
Credits12
PeriodSemester 1 & 2
LanguageItalian

ModulesAreaTypeHoursTeacher(s)
ESERCITAZIONI DI MATEMATICAMAT/05ESERCITAZIONI60
MAURO SASSETTI unimap
ISTITUZIONI DI MATEMATICA MAT/05LEZIONI48
MAURO SASSETTI unimap
Programma non disponibile nella lingua selezionata
Learning outcomes
Knowledge
Upon completion of the course, students will have a working knowledge of the fundamental definitions and theorems of elementary calculus, be able to complete routine derivations associated with calculus, recognize elementary applications of differential and integral calculus, be literate in the language and notation of calculus, be able to apply calculus to understanding concepts from physics and solve basic problems using the mathematics of these concepts, have developed a top-down approach to problem solving. In the end, students should aim for a level of understanding that allows them to carry out computations with ease, apply their technical skills to actual problems, and write a short essay entitled “What is Calculus and how can it be applied?”
Assessment criteria of knowledge
- The student will be assessed on his/her demonstrated ability to discuss the main course contents using the appropriate terminology. - In the written exam (3 hours, problem solving), the student must demonstrate his/her knowledge of the course material and skill in applying appropriate techniques of calculus. - During the oral exam the student must be able to demonstrate his/her knowledge of the course material (definitions, theorems, proofs, problems) thoughtfully and with propriety of expression.

Methods:

  • Final oral exam
  • Final written exam
  • Periodic written tests

Further information:
Final written exam will have about the 75% weighting, oral exam the remaining 25%.

Teaching methods

Delivery: face to face

Learning activities:

  • attending lectures
  • preparation of oral/written report
  • participation in discussions
  • individual study

Attendance: Not mandatory

Teaching methods:

  • Lectures
Syllabus
An introduction to differential and integral calculus for functions of one variable. The differential calculus includes limits, continuity, the definition of the derivative, rules for differentiation, and applications to curve sketching and optimization. The integral calculus includes the definition of the definite integral, the Fundamental Theorem of Calculus, techniques for finding antiderivatives, and applications of the definite integral. Elementary initial value problems are studied (linear or separable equations). Discrete calculus is considered as well, with definition of sequences and series.
Bibliography
Recommended reading includes the following works: M.Sassetti: Calcolo - teoria ed esercizi: parti I e II, Pisa University Press, Pisa, 2014 M.Sassetti – A.Tarsia: Precorso di Matematica, Tipografia Editrice Pisana, Pisa 2014 Further bibliography will be indicated.
Updated: 14/11/2016 17:27