Engineering Fundamentals

Common foundation knowledge essential across multiple engineering disciplines.

Fundamental Categories (Taxonomy)

Engineering Mathematics

Algebra for Engineering

A guide on algebraic expressions, equations, formula rearrangement, and simultaneous equations in engineering.

Basic Mathematics for Engineering

A practical guide to basic math including numbers, fractions, ratios, proportions, percentages, powers, roots, and scientific notation used in engineering.

Functions for Engineering

Understand linear, polynomial, exponential, logarithmic, and trigonometric functions in engineering.

Geometry for Engineering

Basic geometric concepts including length, perimeter, area, volume, angles, and fundamental shapes used in engineering.

Statistics for Engineers

Application of statistical methods in engineering, including sampling, measurement uncertainty, process capability, and design of experiments.

Trigonometry for Engineering

A practical guide to right triangles, sine, cosine, tangent, inverse functions, degrees, and radians in engineering.

Vectors for Engineering

A guide on magnitude, direction, components, vector addition, dot product, and cross product in engineering.

Units & Measurement

Engineering Drawing

Engineering Drawing Symbols

Common non-GD&T engineering drawing symbols including diameter, radius, surface finish, and welding symbols.

Orthographic Projection

A basic overview of orthographic projection, front/top/side views, and how to read multiview engineering drawings.

Part and Assembly Drawings

A basic overview of the difference between part detail drawings and assembly drawings, including the Bill of Materials (BOM).

Pictorial and Isometric Views

Understanding pictorial projections, specifically isometric views, and their application in technical communication.

Tolerances

Understanding the fundamental concepts of tolerances, limits, and engineering variation.

engineering-drawingmanufacturing

Engineering Physics

AC Power Fundamentals

Basic principles of real power, reactive power, and apparent power in AC circuits.

AC circuitspower factorelectrical engineering

Capacitance & Inductance

Introduction to the fundamental relationships and energy storage capabilities of ideal capacitors and inductors.

electrical-engineeringfundamentalsdirect-current

Charge, Current, and Voltage

Defines basic electrical quantities and explains their relationships with charge, energy, and time.

electrical-engineeringfundamentalselectricity

Effective Stress in Soils

Introduction to total stress, pore water pressure, and Terzaghi's effective stress principle for saturated soils.

engineeringfundamentals

Electrical Power & Energy

Understand the relationships between voltage, current, power dissipation, and energy transfer in DC circuits.

electrical-engineeringfundamentalsdirect-current

Energy Balance Fundamentals

Introduction to macroscopic energy balances and the First Law of Thermodynamics for closed and steady-flow open systems.

engineeringfundamentals

Heat Transfer Fundamentals

Fundamental principles of thermal conduction, convection, and radiation.

heat transferconductionconvection

Hooke's Law and Spring Force

Understand Hooke's Law, the linear relationship between spring force and displacement, sign conventions, and the role of the spring constant in engineering analysis.

Ideal Reactors (CSTR and PFR)

Introduction to ideal continuous reactors: Continuous Stirred-Tank Reactors (CSTR) and Plug Flow Reactors (PFR).

engineeringfundamentals

Ideal Transformer Principles

Introduction to the ideal transformer, focusing on turns ratio, voltage/current transformation, and impedance reflection.

engineeringfundamentals

Kirchhoff's Laws

Apply conservation of charge and energy to electrical nodes and loops using Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL).

Mass Balance Fundamentals

Understand the core principles of conservation of mass in continuous flow engineering systems.

chemical-engineeringfundamentalsmass-transfer

Phasors and AC Impedance

Introduction to phasors and the impedance of resistors, inductors, and capacitors in AC circuits.

engineeringfundamentals

Resistance and Ohm's Law

Explanation of resistance, resistivity, and Ohm's law, and their use in basic calculations.

electrical-engineeringfundamentalselectricity

Shear Strength of Soils

Introduction to the shear strength of soils, the Mohr-Coulomb failure criterion, cohesion, and internal friction angle.

engineeringfundamentals

Soil Phase Relationships

Understanding the three-phase soil model and fundamental volumetric and gravimetric relationships.

civil-engineeringgeotechnicalfundamentals

Steady-State Energy Balances

Application of the First Law of Thermodynamics to steady-state open systems.

thermodynamicsenergy balancesteady-state

Three-Phase Power Systems

Introduction to balanced three-phase power systems, covering Wye and Delta connections, line vs. phase relationships, and power calculations.

engineeringfundamentals

Worked Example: Power

A worked example demonstrating the calculation of mechanical power from work and time.

Engineering Calculation

Material Balances at Steady State

Fundamental analysis of non-reactive and reactive material balances under steady-state conditions.

chemical engineeringmass balancesteady-state

Engineering Data & Graphs

Tables, Charts, Axes, and Scales

Fundamental skills for reading engineering data from tables and charts, including the principles of linear and logarithmic scales.

Engineering Terms & Symbols

Common Engineering Terms

Basic definitions of common engineering terminology such as Nominal, Actual, Tolerance, and Standard.

Engineering Tools & Digital Basics

Engineering Calculation Tools

An overview of tools used in engineering calculations, from scientific calculators to spreadsheets and specialized software.

Engineering Safety Basics

Engineering Safety Basics

Basic concepts differentiating hazards from risks, and fundamental terminology regarding safety equipment and warnings.

Engineering Safety Domains

Fundamental knowledge regarding key engineering safety domains, including pressure, electricity, chemicals, mechanical hazards, and working at height.

Hierarchy of Controls

A fundamental guide to the Hierarchy of Controls, the standard engineering framework for risk reduction.