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$Integration of rational functions by partial fractions and long division (160.101 Calculus Examples)$

Viscous Flow - Poiseuille's Equation

RGB mathematics

RGB mathematics

Viscous Flow - Poiseuille's Equation

Viscous flow — Turbulence

Hydrostatics: Measuring pressure

Hydrostatics - pressure and the hydrostatic equation

Elasticity: stress, strain, and Young's modulus

Elasticity: Bone compression example

Elasticity: Tendon stretch example

Trigonometry Review

Scientific notation and significant figures

Vectors: switching between magnitude/angle and components

Kinematic equations - free fall

Kinematic Equations - Examples

Kinematic Equations

Motion graphs - displacement from velocity

Acceleration

Units and unit conversion

Position and position time graphs

Average velocity

Instantaneous velocity and speed

Vectors

Displacement and distance

Simpson's Rule (160.101 Calculus Examples)

Integration of rational functions by partial fractions and long division (160.101 Calculus Examples)

Integration by Parts and Trig Substitution (160.101 Calculus Examples)

Areas and Volumes with Integrals (160.101 Calculus Examples)

Some Introductory Integrals (160.101 Calculus Examples)

Newton-Raphson Method (160.101 Calculus Examples)

Maclaurin series (160.101 Calculus Examples)

Optimisation Problem (160.101 Calculus Examples)

L'Hospital's Rule (160.101 Calculus Examples)

Curve sketching (160.101 Calculus Examples)

Welcome to 160.101 - Richard Brown

The Horse and The Wall

Bernoulli's Equation

Fluid Flow and the Continuity Equation

Buoyancy

All about impact - Newton's First Law in the Style of Ed Sheeran written by Chat GPT

Integers (Preliminaries 06)

Functions (Preliminaries 05)

Induction (Preliminaries 04)

Equivalence Classes and Partitions (Preliminaries 03)

Equivalence Relations (Preliminaries 02)

Sets (Preliminaries 01)

Trigonometry Refresher

Kinematics: the Kinematic Equations

Kinematics: Areas under curves

Straight lines

Kinematics: Velocity and Acceleration

Kinematics: Position, Distance, and Velocity

Exponentials and logarithms

Periodic motion

Blazing Highway Home (lockdown cover of Josh Ritter song)

Geometrical linear transformations

Introduction to linear transformations

Matrix subspaces

Scanning tutorial: scan a PDF from your phone with Office Lens

Subspaces

Matrix inverses

Introduction to matrix algebra: addition, subtraction, and matrix multiplication

Applications of linear systems: fitting curves

Application of linear systems: temperature distribution

Linear Independence

Solving linear systems with free variables: Gauss-Jordan elimination

Gaussian Elimination

Getting started with MATLAB and Octave

Systems of Linear Equations

Vector geometry: distance problems

The cross product

Introduction to planes

Lines

The dot product: vector projection and angles

The dot product: lengths

Algebra and geometry of vectors

Introduction to vectors and basic vector operations

4.6 First Isomorphism Theorem

4.5 Homomorphisms continued

4.5a Homomorphism Example