### 2023　Foundations of Computing 3

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School of Computing
Instructor(s)
Miyoshi Naoto  Nishibata Shinya  Arai Zin  Yamashita Makoto  Tsuchioka Shunsuke
Class Format
Lecture    (Face-to-face)
Media-enhanced courses
Day/Period(Room No.)
Thr5-6(M-178(H1101))
Group
-
Course number
XCO.B103
Credits
1
2023
Offered quarter
4Q
Syllabus updated
2023/11/22
Lecture notes updated
-
Language used
Japanese
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### Course description and aims

Understand the basics of integers, topology, differential equations, mathematical optimization, discrete probabilities, etc., which are part of the curriculum of the Department of Mathematical and Computational Science. In these fields, we construct mathematical models that extract only the essence of real problems, and develop mathematical and probability theories that are conscious of algorithms that implement this model on a computer. Among them, the explanation will focus on themes that do not use much specialized background knowledge.

### Student learning outcomes

Understand the basics of integers, topology, differential equations, mathematical optimization, discrete probabilities, etc., which are part of the curriculum of the Department of Mathematical and Computational Science.

### Keywords

Integers, topology, differential equations, mathematical optimizations, discrete probability

### Competencies that will be developed

 ✔ Specialist skills Intercultural skills Communication skills Critical thinking skills ✔ Practical and/or problem-solving skills

### Class flow

Five faculty members will give lectures on each topic in omnibus format.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Quantum algorithm and Constrained optimization by linear approximation method Apply a basic optimization method to understand optimization methods and their applications.
Class 2 Discrete probability Understanding probability on discrete space and its applications.
Class 3 Discrete random variables and expectations Understanding discrete-valued random variables and their applications.
Class 4 Topology and its Applications Learn fundamental concepts of topology and their applications.
Class 5 Differential equations and their applications Learn fundamental concepts of ｄifferential equations and their applications.
Class 6 On integers 1 Some topics on multiplicative number theory will be presented.
Class 7 On integers 2 Some topics on additive number theory will be presented.

### Out-of-Class Study Time (Preparation and Review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.

None.

None.

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### Related courses

• XCO.B101 ： Foundations of Computing 1
• XCO.B102 ： Foundations of Computing 2

No requirements.