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Theory

Math

Linear Algebra

Geometry

Single Variable Calculus

  • Limits – IN PROGRESS
  • Differentiation – IN PROGRESS
  • Optimization – IN PROGRESS
  • Integration – IN PROGRESS
  • Series – IN PROGRESS

Multivariable Calculus

  • Vectors, Lines, Planes, and Quadric Surfaces – IN PROGRESS
  • Vector-Valued Functions – IN PROGRESS
  • Differentiation of Multivariable Functions – IN PROGRESS
  • Optimization – IN PROGRESS
  • Multiple Integration – IN PROGRESS
  • Vector Calculus Theorems – IN PROGRESS

Differential Equations

  • First Order Ordinary Differential Equations – IN PROGRESS
  • Second Order Linear Ordinary Differential Equations – IN PROGRESS
  • Higher Order Linear Ordinary Differential Equations – IN PROGRESS
  • Systems of Ordinary Differential Equations – IN PROGRESS
  • Laplace Transforms – IN PROGRESS

Numerical Methods

  • Errors – IN PROGRESS
  • Differentiation – IN PROGRESS
  • Integration – IN PROGRESS
  • Root Finding – IN PROGRESS
  • Optimization – IN PROGRESS
  • Linear Systems – IN PROGRESS
  • Regression – IN PROGRESS
  • Interpolation – IN PROGRESS
  • Ordinary Differential Equations – IN PROGRESS
  • Partial Differential Equations and Finite Element Method – IN PROGRESS

Physics

Mechanics

  • 1-D Motion – IN PROGRESS
  • 2-D Motion – IN PROGRESS
  • Newton’s Laws of Motion – IN PROGRESS
  • Circular Motion – IN PROGRESS
  • Universal Gravitation – IN PROGRESS
  • Work – IN PROGRESS
  • Energy (Linear and Rotational) – IN PROGRESS
  • Power – IN PROGRESS
  • Impulse – IN PROGRESS
  • Momentum (Linear and Angular) – IN PROGRESS
  • Fluid Mechanics – IN PROGRESS
  • Oscillatory Motion – IN PROGRESS

Electricity and Magnetism

  • Basics of Electricity – IN PROGRESS
  • Electric Fields – IN PROGRESS
  • Potential – IN PROGRESS
  • Maxwell’s Equations (Gauss’ Electric Law, Gauss’ Magnetic Law, Faraday’s Law of Induction, Ampere-Maxwell Law) – IN PROGRESS
  • Biot-Savart Law – IN PROGRESS
  • Lenz’s Law – IN PROGRESS
  • Electromagnetic Waves – IN PROGRESS

Bioengineering

Fundamentals of Bioengineering

  • Dimensional Analysis – IN PROGRESS
  • Accounting Equation – IN PROGRESS
  • Conservation of Mass – IN PROGRESS
  • Conservation of Energy – IN PROGRESS
  • Conservation of Momentum – IN PROGRESS

Systems Physiology

  • Cell Current and Potential – IN PROGRESS
  • Neuron – IN PROGRESS
  • Muscular System – IN PROGRESS
  • Cardiovascular System – IN PROGRESS
  • Respiratory System – IN PROGRESS
  • Renal System – IN PROGRESS

Biomaterials

  • Metals – IN PROGRESS
  • Ceramics – IN PROGRESS
  • Polymers – IN PROGRESS
  • Mechanical Properties – IN PROGRESS
  • Corrosion and Degradation – IN PROGRESS
  • Surface Properties – IN PROGRESS
  • Biological Interactions – IN PROGRESS
  • Protein Interactions – IN PROGRESS
  • Inflammation and Immune Response – IN PROGRESS

Mechanical Engineering

Statics

  • Equilibrium – IN PROGRESS
  • Force System Resultants – IN PROGRESS
  • Internal Forces – IN PROGRESS
  • Structural Analysis – IN PROGRESS
  • Friction – IN PROGRESS
  • Center of Gravity and Centroid – IN PROGRESS
  • Moment of Inertia – IN PROGRESS

Dynamics

  • Kinematics (1-D, 2-D, 3-D, particle, rigid body) – IN PROGRESS
  • Kinetics (1-D, 2-D, 3-D, particle, rigid body) – IN PROGRESS
  • Vibrations – IN PROGRESS

Projects

WORK IN PROGRESS

Table of Contents

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