CBE 109 - Numerical and Mathematical Methods
in Chemical and Biomolecular Engineering
Fall 2014
PROJECT
Steady-state and transient analysis of a diusion-reaction process
Assigned: Monday, November 24.
Due: Friday, December 19.
Process description and mode
CBE 109: Numerical and Mathematical Methods
in Chemical and Biological Engineering
Syllabus - Fall 2014
Week 1 (Oct.6 - Oct.10): Introduction (course organization - syllabus); Systems of
linear algebraic equations; Gauss elimination; Partial pivoting.
W
ChemE 109 - Numerical and Mathematical Methods in Chemical and Biomolecular
Engineering
Fall 2014
Homework Set 4
Assigned: Monday, November 24
Due: Monday, December 8 (at the beginning of the lecture)
Reading Assignment: Lecture and recitation notes.
Note
CBE 109 - Numerical and Mathematical Methods in Chemical and Biological
Engineering
Homework Set 3
Assigned: Friday, October 31
Due: Friday, November 14 (at the beginning of the recitation)
Reading Assignment: Lecture and recitation notes.
Note: Please in
ChemE 109 - Numerical and Mathematical Methods
in Chemical and Biological Engineering
Fall 2014
Solution to Homework Set 4
1. Consider the ODE-Boundary Value Problem:
d2 y
+ (1 x)y + y 2 = 0
dx2
dy
dy
(x = 1) = 0 and
(x = 1) = 0
dx
dx
(a) Sketch the one-d
ChemE 109 - Numerical and Mathematical Methods
in Chemical and Biological Engineering
Fall 2014
Solution to Homework Set 3
1. Recall the derivation of the Newton iteration formula discussed in the lecture; it was based on
a Taylor series expansion of the
Math 33A Practice Exam 1
Problem 1. Find all solutions (if they exist) to the system of linear equations
2x + 8y + 4z = 2
2x + 5y + z = 5
4x + 10y z = 1
Problem 2. Consider the system of linear equations
x + 2y + 3z = 4
x + ky + 4z = 6
x + 2y + (k + 2)z =
ChemE 109 - Numerical and Mathematical Methods in Chemical and Biological
Engineering
Solution to Homework Set 1
1. (10 points) Use a) Cramers rule, b) Gauss
elimination and back-substitution),and c) LU
equations:
1x1 2x2
0x1 + 2x2
2x1 4x2
elimination (sh
CBE 109: Numerical and Mathematical Methods
in Chemical and Biological Engineering
Course Organization - Fall 2014
Course content
The course will cover numerical and analytical methods for the computation of the solution
of systems of linear and nonlinea
ChemE 109 - Numerical and Mathematical Methods in Chemical and Biological
Engineering
Solution to Homework Set 1
1. (10 points) Use a) Cramers rule, b) Gauss
elimination and back-substitution),and c) LU
equations:
1x1 2x2
0x1 + 2x2
2x1 4x2
elimination (sh
CBE 109 - Numerical and Mathematical Methods in Chemical and Biological
Engineering
Homework Set 1
Assigned: Friday, October 10
Due: Monday, October 20 (at the beginning of the lecture)
Reading Assignment: Lecture and recitation notes.
Note: Please includ
Che 109 - Mathematical Methods in Chemical Engineering
Fall 1997
MID-QUARTER EXAMINATION 1
This is a closed book and notes examination; one 8 1 11 one-sided sheet of notes is allowed.
2
Please print your name as indicated below and on the last page; sign
Che 109 - Mathematical Methods in Chemical Engineering
Fall 1997
MID-QUARTER EXAMINATION 1
This is a closed book and notes examination; one 8 1 11 one-sided sheet of notes is allowed.
2
Please print your name as indicated below and on the last page; sign
Homework 2
Chemical Engineering 101A: Momentum Transfer
Fall 2016
Due: October 12, 2016
1. Water at a temperature of 25C is flowing down a wide inclined plane at an angle of 35from
the horizontal. The velocity of the fluid at the air boundary of the fluid