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Main
UQU Programs
Mechatronics Engineering

Engineering Numerical Methods

ME3001
3 hours English

Engineering Numerical Methods

Engineering Numerical Methods
MTH1182 Calculus for Engineering (2)
3 hours One requisite
1 INTRODUCTION TO SCIENTIFIC COMPUTING / Introduction to Numerical Methods, Measuring Errors, Sources of / Error, Binary Representation of Numbers, Floating Point / Representation of Numbers, Propagation of Errors, Taylor Series / Revisited
2 DIFFERENTIATION / Background, Continuous Functions, Discrete Functions
3 Nonlinear Equations / Background, Bisection Method, Newton-Raphson Method, Secant / Method
4 SIMULTANEOUS LINEAR EQUATIONS / Background, Gaussian Elimination, LU Decomposition, Gauss / Seidel Method
5 Interpolation / Background, Direct Method, Newton's Divided Difference Method, / Lagrange Method, Spline Method
6 REGRESSION / Background, Linear Regression, Nonlinear Regression
7 Integration / Background, Trapezoidal method, Simpson's 1/3rd Rule method, / Romberg method, Gauss-Quadrature method
8 ORDINARY DIFFERENTIAL EQUATIONS / Background, Euler's method, Runge-Kutta 2nd order method, / Runge-Kutta 4th order method, Shooting Method, Finite / Difference Method
9 Optimization / Golden Section search method, Newton's method, / Multidimensional Direct search method, Multidimensional / Gradient search method
1.1 Mapped to: K1

Able to develop mathematical models of lower level engineering problems.

Teaching Strategy Lectures, tutorials and independent study assignments
Assessment Methods Homework, Quizzes, Medterm and Exam
1.2 Mapped to: K2

Able to calculate, quantify, and minimize errors, concept of significant digits and how errors are related to correct number of significant digits.

Teaching Strategy Lectures, tutorials and independent study assignments
Assessment Methods Homework, Quizzes, Medterm and Exam
1.3 Mapped to: K3

Able to solve nonlinear equations numerically

Teaching Strategy Lectures, tutorials and independent study assignments
Assessment Methods Homework, Quizzes, Medterm and Exam
1.4 Mapped to: K4

Able to introduce to fundamental matrix algebra concepts and shown how to solve simultaneous linear equations numerically

Teaching Strategy Lectures, tutorials and independent study assignments
Assessment Methods Homework, Quizzes, Medterm and Exam
1.5 Mapped to: K3

Able to learn how to curve fit discrete date and to numerically integrate continuous and discrete functions.

Teaching Strategy Lectures, tutorials and independent study assignments
Assessment Methods Homework, Quizzes, Medterm and Exam
1.6 Mapped to: K4

Able to learn how to numerically solve ordinary differential equations that are initial value or boundary value problems

Teaching Strategy Lectures, tutorials and independent study assignments
Assessment Methods Homework, Quizzes, Medterm and Exam
2.1 Mapped to: S1

Ability to design and conduct experiments, as well as to analyze and interpret data;

Teaching Strategy Lectures, tutorials and independent study assignments
Assessment Methods Homework, Quizzes, Medterm and Exam
2.2 Mapped to: S2

Ability to design a system, component, or process to meet desired needs;

Teaching Strategy Lectures, tutorials and independent study assignments
Assessment Methods Homework, Quizzes, Medterm and Exam
2.3 Mapped to: S3

Ability to use the techniques, skills, and modern engineering tools necessary for engineering practice;

Teaching Strategy Lectures, tutorials and independent study assignments
Assessment Methods Homework, Quizzes, Medterm and Exam
2.4 Mapped to: S3

Ability to identify, formulate, and solve engineering problems;

Teaching Strategy Lectures, tutorials and independent study assignments
Assessment Methods Homework, Quizzes, Medterm and Exam
2.5 Mapped to: S4

Ability to apply advanced mathematics through multivariate calculus and differential equations.

Teaching Strategy Lectures, tutorials and independent study assignments
Assessment Methods Homework, Quizzes, Medterm and Exam
3.1 Mapped to: V3

Ability to self-learning about computational method for engineering method.

Teaching Strategy Study presentation and report preparation
Assessment Methods Oral presentation and minor projects.
Assessment
Weight
Quiz
10%
Midterm exams
20%
Lab work
20%
Final exam
50%
Total
100%