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Essential Mathematics Concepts
Algebra
Binomial Theorem
Exponentials
Exponential Function
The Number e
Logarithm
Logarithm Power Rule
Logarithms as an Inverse Function
Logarithm Function
Calculus
Applied Calculus
Calculus of variation
Lagrangian formulation
Differential Calculus
Common Derivatives
Derivation of Exponential Functions
Limits & Derivatives
Differential Equations
Solving the Growth Equation
Integral Calculus
Integration by parts
Forward kinematics
End-effector Task
UR5 6R Robot Arm
Inverse Kinematics
IK of 6R-PUMA
Modelling Joint Torques
Matrices
(Application) A simple 2-Revolute robotic arm manuever
Matrix Multiplication Rules
Matrix Transpose
Non-Square Matrices
Rodrigues' Rotation
Skew Symmetric Matrix
Symmetric Matrices
Trigonometric Identities
Trigonometry
Vectors
Eigenvectors and Eigenvalues
Norms
The Cross Product
The Dot Product
Physics
Dynamics
Lagrangian Dynamics
Taming Gravity - Simulating UR5 Dynamics
Streaming sensor data to persistent storage
Autonomous Navigation
Applications
The Cruiser
Robotic Configuration Space
Configuration and Velocity Constraints
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Essential Mathematics Concepts
Foundational Concepts
Trigonometry
Algebra
Vectors
Matrices
Calculus
Applied
Kinematics:
Forward Kinematics
Inverse Kinematics