2021 Programming and numerical analysis a

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Academic unit or major
Undergraduate major in Transdisciplinary Science and Engineering
Tsutsui Hiroaki  Sagara Hiroshi  Cheng Shuo 
Course component(s)
Lecture / Exercise    (対面)
Day/Period(Room No.)
Tue5-8(南4号館 3階 情報ネットワーク演習室 第1演習室)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
Access Index

Course description and aims

The aim of this lecture is to learn basic programming techniques and create programs for numerical analysis using C ++, one of the most widely used programming languages. Elementary grammar of C ++ language to matters important for numerical analysis such as pointers and arrays are learned through programming exercises. Also learn basic algorithms for essential skills for science and engineering researchers and engineers such as solution of simultaneous linear equations, interpolation and extrapolation, integration of functions, Monte Carlo method, solution of nonlinear equations, etc. Experience programming in.

Student learning outcomes

By the end of this class, students will be able to:
(1) utilize a computer language (C, C++),
(2) understand algorithms of major numerical analysis methods, which are commonly used in research fields,
(3) make basic programes for numerical analysis in their fields.


computer programming, numerical analysis, algorithm, object-oriented programming, Newton-Raphson method, Monte Carlo method

Competencies that will be developed

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

Class flow

Learn about grammar and algorithms of programming languages ​​in the first half of the lecture and practice programming in the second half.

Course schedule/Required learning

  Course schedule Required learning
Class 1 keyboard input and screen output You can understand the output to the screen and the input from the keyboard and create a program.
Class 2 data type, array Understand the basic data types and array, and create programs.
Class 3 conditional branch, iteration Understand the branch and iteration of the program flow, you can create a program.
Class 4 basic of user-defined function Understand the basics of functions, and can write programs.
Class 5 pointer You can understand pointers and create programs.
Class 6 string (literal) and pointer You can understand strings and pointers and create programs.
Class 7 application of user-defined function Understand application of functions, you can write programs.
Class 8 basic of class for object-oriented programming Understand the basics of classes, and can write programs.
Class 9 solving method for simultaneous linear equations Understand basic algorithms as solving simultaneous linear equations, and can create programs.
Class 10 interpolation and extrapolation Understand basic algorithms for interpolation and extrapolation, and can create programs.
Class 11 integral method of function Understand basic algorithms for integration of functions, you can create programs.
Class 12 random number, Monte Carlo method Understand the basic algorithm of generation of random numbers and Monte Carlo integration, and can create a program.
Class 13 solving method for nonlinear equation Understand basic algorithms as solving nonlinear equations, and can create programs.
Class 14 Examination Understand basic algorithms with C language, and can create programs.

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.


Introduction to C++ Programming and Graphics / Constantine Pozrikidis, Springer eBooks Computer Science, ISBN:
9780387689920 [0387689923], https://link.springer.com/10.1007/978-0-387-68993-7
Numerical recipes in C++ : the art of scientific computing / William H. Press ... [et al.], ISBN:
9780521750332 [0521750334]

Reference books, course materials, etc.

Computational Physics - Problem Solving with Computers / Rubin H. Landau, Cristian C. Bordeianu, Manuel José Páez Mejía
Wiley Online Library Online Books ISBN: 9783527406265 [3527406263] 9783527618835 [352761883X], https://onlinelibrary.wiley.com/book/10.1002/9783527618835

Assessment criteria and methods

You can acquire the basic method of programming and program by using basic algorithm of numerical analysis.
Grading will be conducted by exercises (70%) and final exams (30%).

Related courses

  • TSE.M201 : Ordinary Differential Equations and Physical Phenomena
  • TSE.M202 : Partial Differential Equations for Science and Engineering

Prerequisites (i.e., required knowledge, skills, courses, etc.)

nothing in particular

Contact information (e-mail and phone)    Notice : Please replace from "[at]" to "@"(half-width character).

Hiroshi SAGARA, sagara[at]zc.iir.titech.ac.jp
Shuo CHENG, cheng[at]tse.ens.titech.ac.jp
Hiroaki TSUTSUI, htsutsui[at]zc.iir.titech.ac.jp

Office hours

prior consultation by e-mail is required.

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