30400 - MATHEMATICS AND STATISTICS - MODULE 1 (MATHEMATICS)
Department of Decision Sciences
Course taught in English
code 30400 Mathematics and statistics - Module 1 (Mathematics) and code 30401 Mathematics and statistics - Module 2 (Statistics) are respectively the first and the second module of the course code 30399 Mathematics and statistics
Go to class group/s: 25
Course Director:
EMANUELE BORGONOVO
EMANUELE BORGONOVO
Mission & Content Summary
MISSION
This course covers the fundamentals of single-variable calculus and discrete mathematics.
CONTENT SUMMARY
- Single-variable calculus
- Riemann integration
- Discrete mathematics
Intended Learning Outcomes (ILO)
KNOWLEDGE AND UNDERSTANDING
At the end of the course student will be able to...
- Explaining the theoretical foundations of mathematics: axioms, definitions, theorems, and proofs.
- Explaining in detail, through definitions, theorems and proofs, some selected topics in calculus and discrete mathematics.
- Illustrate the structure of mathematical reasoning through the description of the steps in a proof.
APPLYING KNOWLEDGE AND UNDERSTANDING
At the end of the course student will be able to...
- Use selected basic computational techniques (derivatives, integrals, sequences, asymptotic notation, modular arithmetic, etc.)
- Formulate definitions, theorems and proofs as presented in the course.
- Use the theorems, definitions and techniques learnt in class to analyze the correctness of new statements.
- Perform corresponding calculations and solve problems posed in the form of exercises.
Teaching methods
- Lectures
- Practical Exercises
- Individual works / Assignments
DETAILS
- Front lectures aimed at explaning the theoretical and methodological parts of the course.
- The course material includes a collection of exercises, some of them taken from past exam papers, that help students improve their performance.
Assessment methods
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ATTENDING AND NOT ATTENDING STUDENTS
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Students can take the exam in two ways:
- through assignments and a short general exam taken only in the first exam session. The final grade will come from assignments grade (12 points out of 30) and the short general exam grade (19 points out of 30).
- through a unique general exam covering the entire program, worth 100% of the final grade.
- Assignments and general exams consist of open ended questions. All types of questions contribute to the assessment of the students' acquired knowledge. Questions are aimed at verifying the knowledge of specific facts and properties about mathematical objects in order to assess students' ability to correctly apply theorems and other mathematical statements in solving dedicated problems.
Teaching materials
ATTENDING AND NOT ATTENDING STUDENTS
- Lecture notes and slides prepared by the teachers, homework assignments and exercises, available online.
Last change 23/07/2024 16:33