Course Title : Mathematics for Chemical Engineering II

Code 73050
Course Year 3rd year
Term
Class day & Period
Location
Credits 2
Restriction No Restriction
Lecture Form(s) Lecture
Language Japanese
Instructor Takashi Taniguchi, Shinsuke Nagamine

Course Description

We will give a series of lectures on necessary mathematical knowledge and skills when students will learn subjects in the chemical engineering course, especially on Probability and Statistics, Fourier Transformation, Partial Differential Equations.

Grading

Grading will be determined by a test at the end of series of lectures, and reports and short tests in class, if necessary.

Course Goals

Goal of the class is that students attain necessary mathematical knowledge that is needed when students learn subjects in the chemical engineering course.

Course Topics

Theme Class number of times Description
Probability and Statistics (fundamentals) 5 1-1. Definition and properties of probability
1-2. Conditional probability
1-3. Stochastic variable and its properties
   (a) Probability distribution function,
   (b) Average, Expectation value, Moment,
   (c) Moment generating function
1-4. Multi-stochastic variable case
   (a) simultaneous distribution function
   (b) marginal and conditional probability
   (c) covariance, correlation coefficient
Probability and Statistics 2 1-5. Various distribution function
   (a) binomialdistribution functions
   (b) Poisson distribution functions
   (c) Gauss distribution functions
1-6. Law of large numbers
   Central limit theorem
   Normal distribution
Fourier Transformation 4 3-1. Euler's formula
3-2. Fourier integral
3-3. Fourier transformation
Partial Differential Equation 3 4. Fundamentals to solve partial differential equations
  Equation of wave
Diffusion equation
Multi-dimensional problem
Confirmation of the level of attainment 1 Confirmation of the level of attainment

Textbook

Textbook(supplemental)

Prerequisite(s)

It is required that students have already had the lecture : Mathematics for Chemical Engineering I in the former semester.

Web Sites

Additional Information