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Mechanical Engineering

Introduction

Course graph

Curriculum

Basics

SyntaxDescriptionPrerequisitesLink
Pre-University physicsThis course bridges the gap between high school and university by covering fundamental physics topics required for engineering programs.Link
Pre-College MathThe Borr Project's Pre-College Math is a free, self-taught curriculum providing a complete education in pre-college mathematics. It offers structured resources to build fundamental math skills needed for college-level study.Link

Math

SyntaxDescriptionPrerequisitesLink
Single variable calculusThis course covers differentiation, integration of single-variable functions, and infinite series, fundamental to physics, engineering, and economics.Link
Multivariable calculusThis course covers vector and multi-variable calculus, including vectors, matrices, partial derivatives, and double/triple integrals.Single variable calculusLink
Differential equationsDifferential equations express the laws of nature and are fundamental to contemporary science and engineering. This course focuses on ordinary differential equations (ODEs) dealing with functions of one variable, often representing time.Multivariable calculusLink
Linear algebraThis course provides a fundamental introduction to matrix theory and linear algebra with emphasis on interdisciplinary applications. It covers systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.Multivariable CalculusLink
Introduction to probability and statisticsThis course offers an elementary introduction to topics like combinatorics, random variables, probability distributions, Bayesian inference, hypothesis testing, confidence intervals, and linear regression.Multivariable calculusLink

Mechanics

CourseDescriptionPrerequisitesLink
StaticsStatics is the first stage into engineering mechanics. This courseSS covers fundamental statics topics including vector analysis, 2D and 3D equilibrium, structural analysis, centroids, area moments of inertia, and shear/moment diagrams.Differential EquationsLink
Strength of Materialsthis course covers deformable body mechanics, including stress, strain, and analysis under axial, torsional, bending, and shear loads.StaticsLink
Dynamics (Dynamics and Control I)This course introduces dynamics and vibrations of mechanical systems, covering kinematics, force-momentum formulation, and Lagrange's equations. It includes linear stability analysis, vibration modeling.Differential EquationsLink

Machinery

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Materials

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Fluid dynamics

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Thermodynamics

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Control

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Control (Dynamics and Control II)DynamicsLink

Ethics, law and social responsibility

Electrotechnics

Specializations

Manufacturing

Modelling

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Complex variables with applicationsDescriptionDifferential equationsLink

Thermal Systems

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Design

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Materials

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Mechanics

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