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Main
UQU Programs
Computer Engineering and Networks

Analytical Methods in Engineering

CEN2603
4 hours English

Analytical Methods in Engineering

Analytical methods in Engineering
MTH2143 Differential equations and Linear Algebra
4 hours No requisites
1 Overview of Analytical Methods; Comparison of Analytical vs. Numerical Methods; Mathematical Modeling: Types of models (deterministic vs. probabilistic, linear vs. nonlinear). Engineering Models such as Electrical circuits and Digital Communications
2 Introduction to Computational Tools: Absolute and Relative errors, Rounding and Chopping; Error Propagation; Basic Error Principle. Algorithm and Stability. / Roots of Equations: bracketing methods, open methods, Roots of Polynomials. / Software like MATLAB, Python, or specialized engineering tools: Solving equations and visualizing results
3 Functions (linear, quadratic, trigonometric, exponential); Differential and integral calculus; Vectors and matrices, importance in modeling multi-dimensional systems. Numerical integration and differentiation
4 Parametric Equations and Polar Coordinates: Curves and Calculus; Polar Coordinates; areas and lengths in Polar Coordinates; Conic sections
5 Vectors in 2D & 3D; Dot Product and Cross Product; Lines and Planes in 3-Space; Vector Spaces; Vector and Scalar Functions
6 Functions of Multi-Variables: Definition of functions of multi-variables, limits, continuity, partial derivatives, The chain rule, Critical points, Engineering applications (Tangent vector and plane to a surface, critical points, figuring surfaces)
7 Multiple integrals: Two dimensions. Informal definition and evaluation by repeated integration; example over a rectangle; properties. General domains. Change of variables. Volume integrals: Jacobians for cylindrical and spherical polars
8 Least-Square Regression: Linear Regression; Multiple Linear Regression; Polynomial Regression; Nonlinear Relation & Linearization Method; Nonlinear Regression
9 Interpolation methods (e.g., Lagrange, Newton interpolation) and the method of least squares; Inverse Interpolation
1.1 Mapped to: K1

An ability to identify and explain the broad in-depth knowledge and comprehension of concepts, principles, theories, processes, methodologies, and procedures in the domain of analytical methods

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments
Assessment Methods One or more of the following strategies may be used: Written exams, Home assignments Oral questions
2.1 Mapped to: S1 (S1 in ABET)

Cognitive Skills: An ability to identify, formulate, and solve problems in the domain of analytical methods

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments Problem solving practice Tutorials
Assessment Methods One or more of the following strategies may be used: Written exams Home assignments Oral questions
2.2 Mapped to: S1 (S1 in ABET)

Apply computational tools (e.g., MATLAB, Python) to analyze and solve engineering problems involving equations, visualization, and error analysis.

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments Problem solving practice Tutorials
Assessment Methods One or more of the following strategies may be used: Written exams Home assignments Oral questions
2.3 Mapped to: S1 (S1 in ABET)

Use vectors and matrices to model and solve problems in 2D and 3D space, including calculations involving dot and cross products, lines, planes, and vector functions.

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments Problem solving practice Tutorials
Assessment Methods One or more of the following strategies may be used: Written exams Home assignments Oral questions
2.4 Mapped to: S1 (S1 in ABET)

Evaluate engineering problems using multiple integrals, including applications in cylindrical and spherical coordinates.

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments Problem solving practice Tutorials
Assessment Methods One or more of the following strategies may be used: Written exams Home assignments Oral questions
2.5 Mapped to: S1 (S1 in ABET)

Perform least-square regression and interpolation methods to analyze and predict engineering data.

Teaching Strategy One or more of the following strategies may be used: Classroom lectures PowerPoint slides Reading assignments Problem solving practice Tutorials
Assessment Methods One or more of the following strategies may be used: Written exams Home assignments Oral questions
Assessment
Weight
Major Exams I & II
35%
Quizzes
15%
Homework Assignments
10%
Final Exam
40%
Total
100%