CIVL 3140 – Civil Engineering
Computational Methods
L05
Linear system of equations
Part 1
Instructor:
Mohammadmehdi Ramezani
LASSONDE SCHOOL OF ENGINEERING // YORK UNIVERSITY LE/CIVL 3140, adapted with modifications from M.M. Krol, 2025 1
, Reminders!
• Assignment 1 is due on Tuesday, June 30, at 12:30 p.m.
• Late assignments are given a penalty of 20% per day
LASSONDE SCHOOL OF ENGINEERING // YORK UNIVERSITY LE/CIVL 3140, adapted with modifications from M.M. Krol, 2025 2
, Last Class
• End of Unit 2:
• Roots of equations:
11m dia
• Newton-Raphson method
• Secant method
• Applications of root-finding in civil
engineering 11m
L
7.5m dia
LASSONDE SCHOOL OF ENGINEERING // YORK UNIVERSITY LE/CIVL 3140, adapted with modifications from M.M. Krol, 2025 3
, Today’s Class
• Unit 3:
• Systems of linear equations
• Introduction
• Matrix review
• Notation
• Matrix operating rules
• Linear equations in matrix form
• Graphical method
• Cramer’s rule
• Elimination of unknowns
LASSONDE SCHOOL OF ENGINEERING // YORK UNIVERSITY LE/CIVL 3140, adapted with modifications from M.M. Krol, 2025 4
Computational Methods
L05
Linear system of equations
Part 1
Instructor:
Mohammadmehdi Ramezani
LASSONDE SCHOOL OF ENGINEERING // YORK UNIVERSITY LE/CIVL 3140, adapted with modifications from M.M. Krol, 2025 1
, Reminders!
• Assignment 1 is due on Tuesday, June 30, at 12:30 p.m.
• Late assignments are given a penalty of 20% per day
LASSONDE SCHOOL OF ENGINEERING // YORK UNIVERSITY LE/CIVL 3140, adapted with modifications from M.M. Krol, 2025 2
, Last Class
• End of Unit 2:
• Roots of equations:
11m dia
• Newton-Raphson method
• Secant method
• Applications of root-finding in civil
engineering 11m
L
7.5m dia
LASSONDE SCHOOL OF ENGINEERING // YORK UNIVERSITY LE/CIVL 3140, adapted with modifications from M.M. Krol, 2025 3
, Today’s Class
• Unit 3:
• Systems of linear equations
• Introduction
• Matrix review
• Notation
• Matrix operating rules
• Linear equations in matrix form
• Graphical method
• Cramer’s rule
• Elimination of unknowns
LASSONDE SCHOOL OF ENGINEERING // YORK UNIVERSITY LE/CIVL 3140, adapted with modifications from M.M. Krol, 2025 4