Engr. Neslyn E. Lopez
Course Coordinator CE Capstone Project 2
Maam Nes,
Greetings!
A blessed day to you! We are fifth year civil engineering students of Malayan Colleges Laguna
(MCL). We are currently working on our capstone project entitled Evaluation o

At the end of the period, you should be
able to:
Determine the approximate value of a
function at a certain number using
interpolating polynomials.
Approximate a function using Newtons
divided-difference
interpolating
polynomials.
Approximate a functi

At the end of the period, you should be able to:
Evaluate definite integral using Riemann Sum.
Evaluate definite integral using the
trapezoidal rule.
Evaluate definite integral using Simpsons rule.
Evaluate definite integral using Romberg
integration

At the end of the period, you should be
able to:
Solve systems of equations using
gaussian elimination or gauss-jordan
elimination.
Solve systems of equations using lu
factorization.
Solve systems of equations using gaussseidel or gauss-jacobi.
Solve

At the end of the period, you should be
able to:
Determine the approximate value of a
function at a certain number using
interpolating polynomials.
Approximate a function using Newtons
divided-difference
interpolating
polynomials.
Approximate a functi

At the end of the period, you should be
able to:
Solve systems of equations using
gaussian elimination or gauss-jordan
elimination.
Solve systems of equations using lu
factorization.
Solve systems of equations using gaussseidel or gauss-jacobi.
Solve

At
the end of the period, you should be
able to:
Determine the roots of an equation
using bisection method.
Determine the roots of an equation
using Newton-Rhapson method.
Determine the roots of an equation
using secant method.
Determine the roots of

SECANT METHOD
In numerical analysis, the secant method is a rootfinding algorithm that uses a succession of roots
of secant lines to better approximate a root of a
function f.
The first two iterations
of the secant method.
The red curve shows the
funct

At the end of the period, you should be able to:
Distinguish numerical solution from analytical
solution.
Get an overview of the topics that will be
encountered in numerical methods.
Get an idea of the necessary prerequisite
topics that will be needed

At
the end of the period, you should be
able to:
Use Quadratic interpolation to find the
maximum of a function.
Use Newtons method to find the
maximum of a function.
Root location and optimization are related in the
sense that both involve guessing an

At the end of the period, you should be
able to:
Use linear regression to determine the
best fit curve that can approximate a
group of ordered data points.
Use nonlinear regression to determine
the best fit curve that can approximate
a group of ordered