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Engineering

Engineering

A degree-style path through the engineering foundations shared by every discipline — mathematics, physics, computation, and statics — built to be reused by the Mechanical, Electrical, and Robotics concentration tracks that layer on top of it.

36 lessons ~3 h 4 courses

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Who it's for

Learners building toward mechanical, electrical, or robotics engineering. Introduces each topic from first principles; assumes only secondary-school algebra and a willingness to work through mathematics.

Course 1 of 4

Engineering Mathematics

Mathematics is the language of engineering; calculus, linear algebra, and differential equations underpin every later course.

0 of 14 done
Unit 1

Single-Variable Calculus

5 lessons · 26 min

  1. 1 Limits and Continuity 4 min Start
  2. 2 Derivatives and Differentiation Rules 5 min Start
  3. 3 Applications of the Derivative 6 min Start
  4. 4 Integration and the Fundamental Theorem 5 min Start
  5. 5 Techniques and Applications of Integration 6 min Start
Unit 2

Multivariable and Vector Calculus

3 lessons · 16 min

  1. 1 Partial Derivatives and the Gradient 6 min Start
  2. 2 Multiple Integrals 5 min Start
  3. 3 Vector Calculus: Divergence, Curl, and Integral Theorems 5 min Start
Unit 3

Linear Algebra

3 lessons · 17 min

  1. 1 Vectors and Matrices 6 min Start
  2. 2 Linear Systems and Gaussian Elimination 6 min Start
  3. 3 Eigenvalues and Eigenvectors 5 min Start
Unit 4

Differential Equations

3 lessons · 17 min

  1. 1 First-Order Differential Equations 6 min Start
  2. 2 Second-Order Linear ODEs 6 min Start
  3. 3 The Laplace Transform 5 min Start

Course 2 of 4

Physics for Engineers

Physical law turns math into engineering — mechanics and electromagnetism are the bedrock of the mechanical, electrical, and robotics tracks.

0 of 9 done
Unit 5

Classical Mechanics

5 lessons · 27 min

  1. 1 Kinematics in One and Two Dimensions 4 min Start
  2. 2 Newton's Laws and Forces 4 min Start
  3. 3 Work, Energy, and Power 6 min Start
  4. 4 Momentum and Collisions 6 min Start
  5. 5 Rotational Motion and Angular Momentum 7 min Start
Unit 6

Electricity and Magnetism

4 lessons · 23 min

  1. 1 Electric Charge, Field, and Gauss's Law 7 min Start
  2. 2 Electric Potential and Capacitance 6 min Start
  3. 3 Current, Resistance, and DC Circuits 4 min Start
  4. 4 Magnetic Fields and Induction 6 min Start

Course 3 of 4

Computation and Programming for Engineers

Modern engineering is computational; programming and numerical methods are tools used throughout every discipline.

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Unit 7

Programming Fundamentals

3 lessons · 15 min

  1. 1 Variables, Types, and Control Flow 6 min Start
  2. 2 Functions and Data Structures 6 min Start
  3. 3 Working with Arrays and Plotting (NumPy and Matplotlib) 3 min Start
Unit 8

Numerical Methods

4 lessons · 21 min

  1. 1 Floating-Point and Error 5 min Start
  2. 2 Root Finding and Linear Systems 7 min Start
  3. 3 Numerical Integration and Differentiation 6 min Start
  4. 4 Solving ODEs Numerically 3 min Start

Course 4 of 4

Statics, Strength & Failure

Statics applies the math and physics to forces in equilibrium — the gateway to mechanical analysis and structural reasoning.

0 of 6 done
Unit 9

Force Systems & Equilibrium

2 lessons · 12 min

  1. 1 Free-Body Diagrams That Can Be Audited 6 min Start
  2. 2 Moments, Supports & Distributed Loads 6 min Start
Unit 10

Structures & Material Response

2 lessons · 11 min

  1. 1 Trusses, Frames & Internal Force 6 min Start
  2. 2 Stress, Strain & Safety Factor 5 min Start
Unit 11

Beams, Deflection & Failure

2 lessons · 11 min

  1. 1 Beams, Torsion & Deflection 6 min Start
  2. 2 Failure, Fatigue & the Structural Design Review 5 min Start