Applied Mathematics, SECOND SEMESTER
Prof. Dr. Daniele Bertaccini
NOTICE: the course APPLIED MATHEMATICS was started during a.y. 2019/2020. BEFORE that a.y.,
the course was MATHEMATICS. So, mind the a.y. you followed the course before
booking the exam. Wrong booking can cause problems during registration or no registration at all.
IMPORTANT NOTICE: attendance of at least 70% of the lessons is requested for applied mathematics exam (former students will book MATHEMATICS and I will not check the minimum attendance).
please do not email the professor!
99% of your possible answers can be found in this page (see faq below and/or link
below) or asking the student offices.
date of exams will be published in the "Delphi" pages and noticed
to students' office.
notice: the electronic registration ("verbalizzazione") of exams
send automatically mails to the students some days after the
1. don't ask the professor except if you are very very
sure that you passed, you signed your mark but the mark you got is
different from the one specified by the automatic message.
exam failed: the message can say that you were absent or retired,
these options are equivalent, you can try the exam again in the next
3. exam failed: if you prefer that i specify "failed" in
your personal data, please tell me in advance (in this case you
cannot try again in the next session).
4. after the exam,
professor will post the date for verbalization.
registration of the exams will close a couple of days after that
date. if you are unable to come, you can do another reservation for
the same exam in the next session and get your previous mark.
Other students' eMAILS WILL NOT BE ANSWERED
Results of the exams APPLIED MATH/MATH
Program of the course.
Numbers (naturals, rationals, real and complex).
Inverse formulas, change of scales and order of magnitudes in formulas;
errors in measures and calculations.
Functions of one real variable: basic concepts, graphs,
elementary functions (polynomials, roots, rational functions,
trigonometric, exponentials and logarithms);
Sequences; Binomial coefficients; Limits; Geometric sums;
Continuous functions; Differentiation: derivatives,
monotonicity and concavity, extrema, sketching graphs;
bisection and Newton's methods to approximate real roots of scalar functions;
Riemann Integration; Definite integration:
the fundamental theorem of calculus; Techniques for computing integrals;
Approximating a definite integral by numerical integration;
Infinite series (briefly)
Introduction to the software for approximating and plotting
functions, linear approximation of functions; approximation of
definite integrals, numerical solution of linear and nonlinear equations and systems.
Introduction to the simulation of Phenomena in Medicine and drug preparation.
Elementary statistics: describing univariate and multivariate data; mean, median and mode;
variance, standard deviation; geometric mean, harmonic mean, quadratic mean; linear regression
Calculus for biology and medicine, c. Neuhauser,
prentice hall (2nd international edition).
Ed. Pearson educational international.
FAQ (Frequently Asked Questions) STUDENTS' MAILS WILL NOT BE
-you must attend at least 70% of the frontal lessons, as written in the admission rules
and recalled at every lesson I give. Only from A.Y. 2018/19 we will ask for around 50%. If you not attended enough, come the next year.
In case of doubts, ask the secretariat.
-ALL exams will be chaired by me (prof Bertaccini), no matter when
-Use the suggested book and the
link below for tests, exams, exercises if you miss a lesson.
-The lessons and exercises are very much taken by the book in order
to simplify your life
-The professor is not a private teacher. No supplementary special
lessons will be available to you after the course!
-The course is very simple to simplify your life. Don't forget this
-The program of the course is FIXED and is the same all the years in
order to give a chance to students of all years to pass the exam
with the notions they learned formerly
-The program of the course can be found in the material provided by
the link below
-Exams will be in June and July, then in September and February.
Will be only written, online or not depending on the pandemia (the Professor can ask
questions later if there are suspect of copied exams)
-The students can ask the Professor during the course.
to the former homepage of the course by my colleague Prof.