Algebra for Engineering
A guide on algebraic expressions, equations, formula rearrangement, and simultaneous equations in engineering.
Common foundation knowledge essential across multiple engineering disciplines.
คณิตศาสตร์สำหรับวิศวกรรม
หน่วย การวัด และการแปลงหน่วย
การเขียนแบบและการอ่านแบบวิศวกรรม
ฟิสิกส์พื้นฐานสำหรับวิศวกรรม
พื้นฐานการคำนวณแบบวิศวกร
การอ่านข้อมูล ตาราง และกราฟ
คำศัพท์และสัญลักษณ์วิศวกรรมพื้นฐาน
เครื่องมือและพื้นฐานดิจิทัลสำหรับวิศวกร
พื้นฐานความปลอดภัยทางวิศวกรรม
A guide on algebraic expressions, equations, formula rearrangement, and simultaneous equations in engineering.
A practical guide to basic math including numbers, fractions, ratios, proportions, percentages, powers, roots, and scientific notation used in engineering.
Introduction to mean, median, variance, standard deviation, and basic probability in engineering.
Introduction to derivatives, integrals, rate of change, and accumulation in engineering.
Understand linear, polynomial, exponential, logarithmic, and trigonometric functions in engineering.
Basic geometric concepts including length, perimeter, area, volume, angles, and fundamental shapes used in engineering.
Application of statistical methods in engineering, including sampling, measurement uncertainty, process capability, and design of experiments.
A practical guide to right triangles, sine, cosine, tangent, inverse functions, degrees, and radians in engineering.
A guide on magnitude, direction, components, vector addition, dot product, and cross product in engineering.
A worked example demonstrating how to calculate the volume of a prism using its base area and height.
A complete guide to SI base units, dimensions, and derived units in engineering.
Understand unit conversion, accuracy, precision, resolution, uncertainty, and calibration in engineering measurements.
The importance of unit systems, consistent unit conversion, and the crucial technique of dimensional analysis in engineering.
A practical worked example demonstrating basic unit conversion.
The purpose of engineering drawing as technical communication and the fundamental concepts of drawing scale.
Fundamental concepts of engineering drawings as technical communication, paper sizes, and the purpose of the title block.
Standard practices for placing dimensions on engineering drawings (excluding advanced GD&T topics).
Standard practices for managing engineering drawings, including title blocks, revisions, identification, and CAD integration.
Common non-GD&T engineering drawing symbols including diameter, radius, surface finish, and welding symbols.
Foundational knowledge of Geometric Dimensioning and Tolerancing (GD&T), Feature Control Frames, Datums, and geometric controls.
Basic concepts of 3D representation, section views to show internal features, and detail views for clarity.
Standards for line types, line weights, and lettering in engineering drawings.
A fundamental overview of common engineering line types, drawing scales, and dimensioning concepts.
Principles of orthographic projection, multiview drawings, and standard projection methods used in engineering.
A basic overview of orthographic projection, front/top/side views, and how to read multiview engineering drawings.
A basic overview of the difference between part detail drawings and assembly drawings, including the Bill of Materials (BOM).
Understanding pictorial projections, specifically isometric views, and their application in technical communication.
Advanced projection techniques, including section views to show internal features and auxiliary views for inclined surfaces.
Foundational understanding of engineering drawing metadata, including symbols, document numbering, and revision history.
Classification and application of engineering drawings, including detail drawings, assembly drawings, and arrangement drawings.
Understanding the fundamental concepts of tolerances, limits, and engineering variation.
Basic principles of real power, reactive power, and apparent power in AC circuits.
Introduction to AC sinusoidal waveforms, amplitude, frequency, period, and RMS values.
Fundamental physics principles underlying fluid behavior, thermal systems, wave phenomena, and basic electrical concepts in engineering.
Fundamental concepts of pressure, temperature, heat transfer, waves, and basic electricity.
Introduction to the fundamental relationships and energy storage capabilities of ideal capacitors and inductors.
Defines basic electrical quantities and explains their relationships with charge, energy, and time.
Introduction to chemical kinetics, reaction rates, reaction orders, and the Arrhenius equation.
Introduction to total stress, pore water pressure, and Terzaghi's effective stress principle for saturated soils.
Understand the relationships between voltage, current, power dissipation, and energy transfer in DC circuits.
Introduction to macroscopic energy balances and the First Law of Thermodynamics for closed and steady-flow open systems.
Introduction to fundamental fluid properties including density, specific weight, specific gravity, and viscosity.
Fundamental concepts regarding hydrostatic pressure and manometry.
Fundamental principles of thermal conduction, convection, and radiation.
Understand Hooke's Law, the linear relationship between spring force and displacement, sign conventions, and the role of the spring constant in engineering analysis.
Introduction to ideal continuous reactors: Continuous Stirred-Tank Reactors (CSTR) and Plug Flow Reactors (PFR).
Introduction to the ideal transformer, focusing on turns ratio, voltage/current transformation, and impedance reflection.
Apply conservation of charge and energy to electrical nodes and loops using Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL).
Understand the core principles of conservation of mass in continuous flow engineering systems.
Fundamental concepts of classical mechanics, including Newton's laws and the relationships between mass, force, and acceleration.
Introduction to phasors and the impedance of resistors, inductors, and capacitors in AC circuits.
Explanation of resistance, resistivity, and Ohm's law, and their use in basic calculations.
Combining basic resistive components into series and parallel networks to find equivalent resistance.
Introduction to the shear strength of soils, the Mohr-Coulomb failure criterion, cohesion, and internal friction angle.
Understanding the three-phase soil model and fundamental volumetric and gravimetric relationships.
Application of the First Law of Thermodynamics to steady-state open systems.
Basic engineering concepts regarding temperature scales and specific heat capacity.
Introduction to balanced three-phase power systems, covering Wye and Delta connections, line vs. phase relationships, and power calculations.
Basic phase behavior and Raoult's law for ideal mixtures.
A foundational overview of kinematics, covering the difference between speed and velocity, acceleration, and the concept of momentum.
Fundamental concepts of energy transfer, work, kinetic and potential energy, power generation, and an awareness of torque.
A worked example demonstrating the calculation of mass from volume and density.
A worked example demonstrating Newton's Second Law of Motion (F=ma).
A worked example demonstrating the calculation of spring restoring force using Hooke's Law.
A worked example demonstrating the calculation of mechanical power from work and time.
A worked example demonstrating the calculation of pressure exerted by a force over an area.
A worked example demonstrating the calculation of mechanical work and potential energy.
Fundamental concepts for developing engineering intuition, spotting errors, and applying professional judgment.
Fundamental analysis of non-reactive and reactive material balances under steady-state conditions.
Best practices for handling numbers, significant figures, and scientific notation in engineering calculations.
Fundamental techniques for verifying engineering calculations through estimation, rounding, and sanity checks.
A fundamental guide on substituting variables, maintaining unit consistency, and respecting significant figures in engineering calculations.
Understanding the engineering method for design, analysis, and the critical role of engineering judgment in decision-making.
A structured framework for organizing and solving engineering problems, focusing on Given, Find, Assume, and Equation steps.
The fundamental framework for solving engineering problems, covering Given, Find, Assumptions, Knowns/Unknowns, and Equation Selection.
An engineering fundamentals overview on how to read manufacturer data sheets and conceptually interpret complex engineering charts.
Methods for presenting and interpreting engineering data using tables, graphs, and empirical curves.
Basic techniques for extracting data between known points and understanding the physical limits of predicting data beyond known bounds.
Fundamental skills for reading engineering data from tables and charts, including the principles of linear and logarithmic scales.
Basic definitions of common engineering terminology such as Nominal, Actual, Tolerance, and Standard.
A basic guide to identifying and using common engineering symbols and abbreviations.
A basic overview of the Input-Process-Output model and the validation mindset necessary for engineering computations.
A fundamental overview of calculators, spreadsheets, CAD, and simulation software in engineering.
An overview of tools used in engineering calculations, from scientific calculators to spreadsheets and specialized software.
Basic concepts differentiating hazards from risks, and fundamental terminology regarding safety equipment and warnings.
Fundamental knowledge regarding key engineering safety domains, including pressure, electricity, chemicals, mechanical hazards, and working at height.
A fundamental guide to the Hierarchy of Controls, the standard engineering framework for risk reduction.