• Basic information
• Learning outcomes
• Contents
• Assessment
• Workload

Learning outcomes

Upon successful completion of this course, students will be able to:

1. Ability to iteratively find the root(s) of a single and multiple variable equations in computer environment

   Contribution to Program Outcomes

   1. Ability to cooperate efficiently in intra-disciplinary and multi-disciplinary teams; and show self-reliance when working on Engineering-related problems.
   2. Recognize the need for life-long learning; show the ability to access information, follow developments in science and technology, and continuously educate oneself.
   3. Develop an awareness of professional and ethical responsibility and behave accordingly. Be informed about the standards used in Chemical Engineering applications.

   Method of assessment

   1. Written exam
   2. Homework assignment
2. Ability to analyze discrete data statistically in computer environment

   Contribution to Program Outcomes

   1. Ability to cooperate efficiently in intra-disciplinary and multi-disciplinary teams; and show self-reliance when working on Engineering-related problems.
   2. Recognize the need for life-long learning; show the ability to access information, follow developments in science and technology, and continuously educate oneself.
   3. Develop an awareness of professional and ethical responsibility and behave accordingly. Be informed about the standards used in Chemical Engineering applications.

   Method of assessment

   1. Written exam
   2. Homework assignment
3. Ability to apply numerical differentiation and integration methods in computer environment

   Contribution to Program Outcomes

   1. Ability to cooperate efficiently in intra-disciplinary and multi-disciplinary teams; and show self-reliance when working on Engineering-related problems.
   2. Recognize the need for life-long learning; show the ability to access information, follow developments in science and technology, and continuously educate oneself.
   3. Develop an awareness of professional and ethical responsibility and behave accordingly. Be informed about the standards used in Chemical Engineering applications.

   Method of assessment

   1. Written exam
   2. Homework assignment
4. Ability to iteratively solve the initial and final value problems of ODE in computer environment.

   Contribution to Program Outcomes

   1. Ability to cooperate efficiently in intra-disciplinary and multi-disciplinary teams; and show self-reliance when working on Engineering-related problems.
   2. Recognize the need for life-long learning; show the ability to access information, follow developments in science and technology, and continuously educate oneself.
   3. Develop an awareness of professional and ethical responsibility and behave accordingly. Be informed about the standards used in Chemical Engineering applications.

   Method of assessment

   1. Written exam
   2. Homework assignment

Contents
Week 1:	Introduction to continuous and discrete functions
Week 2:	Error analysis
Week 3:	Root finding in single nonlinear equations - Bracketing methods
Week 4:	Root finding in single nonlinear equation - Open methods Quiz 1
Week 5:	Root finding in system of nonlinear equations - Open methods
Week 6:	Solution methods for system of linear equations Midterm I
Week 7:	Solution methods for system of linear equations
Week 8:	Approximation of discrete functions
Week 9:	Forward and backward differentiation methods
Week 10:	Central differentiation and integration methods Quiz 2
Week 11:	Regression and statistical analysis of collected data
Week 12:	Regression and statistical analysis of collected data Midterm II
Week 13:	Iterative solution of initial value problems (ODE)
Week 14:	Iterative solution of boundary value problems (ODE)
Week 15*:	-
Week 16*:	Fianl Exam
Textbooks and materials:	1. Applied Numerical Methods With Matlab For Engineers And Scientists, 3rd Ed., S. Chapra, McGraw Hill 2012. 2. Numerical Methods for Engineers, 6th Ed. by S. Chapra and R. Canale, McGraw Hill 2006.
Recommended readings:	1. Applied Numerical Methods With Matlab For Engineers And Scientists, 3rd Ed., S. Chapra, McGraw Hill 2012. 2. Numerical Methods for Engineers, 6th Ed. by S. Chapra and R. Canale, McGraw Hill 2006.
	* Between 15th and 16th weeks is there a free week for students to prepare for final exam.

Assessment
Method of assessment	Week number	Weight (%)
Mid-terms:	7, 12	40
Other in-term studies:	0	0
Project:	0	0
Homework:	0	0
Quiz:	4, 10	20
Final exam:	16	40
	Total weight:	(%)

Workload
Activity	Duration (Hours per week)	Total number of weeks	Total hours in term
Courses (Face-to-face teaching):	3	14
Own studies outside class:	3	14
Practice, Recitation:	0	0
Homework:	0	0
Term project:	0	0
Term project presentation:	0	0
Quiz:	1	2
Own study for mid-term exam:	7	2
Mid-term:	2	2
Personal studies for final exam:	14	1
Final exam:	2	1
		Total workload:
		Total ECTS credits:	*
	* ECTS credit is calculated by dividing total workload by 25. (1 ECTS = 25 work hours)