- Measurement & Vectors
- Kinematics in One Dimension
- Kinematics in Two & Three Dimensions
- 3.1 Vectors and Vector Products. (14:41)
- 3.2 Projectile motion in two dimensions using vectors r(t) = (x(t) , y(t) ) and v(t) = (vx(t) , vy(t)). (9:20)
- 3.3 Graphical view of motion in a river or with an air current using vectors graphically. (8:12)
- 3.4 More complex projectile problems. (14:48)
- Forces & Newtons Laws of Motion
- 4.1 The concept of a force & Newton’s laws, (14:41)
- 4.2 The Fundamental Forces. (14:42)
- 4.3 Derivative Forces. (13:14)
- 4.4 Resolution of forces & their vector nature. (23:47)
- 4.5 More difficult problems with forces. (15:35)
- Uniform Circular Motion
- 5.1 Circular motion and centripetal acceleration and force. (6:34)
- 5.2 Problems and examples I. (16:16)
- 5.3 Problems and examples II. (11:13)
- Work & Energy
- 6.1 Concepts of work and energy. (6:19)
- 6.2 Definition of Work & Energy. (22:33)
- 6.3 Power is defined as the rate of work or expending energy. (6:47)
- 6.4 Conservation of Energy in a Closedoingd System – Example of Kinetic and Potential of a particle. (11:16)
- Momentum and Impulse
- 7.3 Elastic (energy is conserved) and Partially Elastic Collisions (some energy is conserved) part I (6:50) - part II (5:35)
- 7.4 Center of Mass, Equations of a system of particles, and Total momentum of a system part I(11:19) - part II (3:44)
- 7.5 Impulse – When the force is very complex:part I(2:36) - part II(3:38)
- Rotational Kinematics
- 8.1 Angular position, velocity, and acceleration for circular motion. (10:44)
- 8.2 Connection with translational motion. (14:52)
- 8.3 Centripetal acceleration. (5:30)
- Rotational Dynamics
- Gravitation
- 10.1 Gravitational Force. ()
- 10.2 Gravitational Field and vector form of the gravitational force. ()
- Elasticity
- Simple Harmonic Motion
- 12.2 Derivation of Simple Harmonic Motion with Fiction. (8:04)
- 12.3 The General Homogeneous Solution:. xgh(t) part I (12:26) part II (11:04)
- 12.4 The General Inhomogeneous Solution xai(t) for a constant and an oscillatory force.
- 12.5 Discussion:
- 12.6 The general nature and importance of this result
- Fluids
- 13.1 Fluid Flow Described. (7:05)
- 13.2 Density, Specific Gravity. (12:31)
- 13.3 Pressure, and Archimedes Principle. (17:05)
- 13.4 Fluid Flow Equations. (10:51)
- 13.5 Viscous Flow. (7:51)
- Mechanical Waves & Sound
- 14.1 Definition of waves and Key Concepts. (12:48)
- 14.2 Sound Waves. (21:19)
- 14.3 Critical Wave Equations. (8:46)
- 14.4 Doppler shift. (4:15)
- 14.5 The Logarithmic Nature of Responses to Stimulation. (5:22)
- Linear Superposition of Waves, Interference, & Music
- 15.1 Linear Superposition. (7:47)
- 15.2 Wave Interference part I (4:52) - part II (5:24)
- 15.3 The Foundation of strings and horns for musical instruments. (4:52)
- 15.4 Air Columns. (7:58)
- 15.5 Musical Frequencies. (10:18)
- 15.6 Bach Equitempered Tuning. (8:10)
- 15.7 Advanced aspects of acoustics and music. (6:08)
- 15.8 Acoustical Reverberations. (6:48)
- Temperature & Heat
- 16.1 Temperature and Heat Defined. (10:46)
- 16.2 Expansion of Heated Substances. (6:10)
- 16.3 Addition of Heat Can Raise the Temperature. (10:38)
- Transfer of Heat
- Ideal Gas Law & Kinetic Theory
- 18.1 Define the Mole, AMU, & Avogadro’s number. (7:25)
- 18.2 Ideal Gas Law. (10:33)
- 18.3 Diffusion: Irreversible process of Increasing Entropy. (5:17)
- 18.4 Derivation of the Relationship of T to Average Kinetic Energy
- Thermodynamics
- Electric Forces
- 20.1 Fundamental Terms for Electrical Charge, Conductors, & Insulators (9:29)
- 20.2 Coulomb’s Law (12:49)
- 20.3 Formal Vector Form of Coulomb’s Law and with Multiple Charges (7:19)
- Electric Field
- 21.1 Description and Origin of the Electric Field Concept (14:20)
- 21.2 Definition of the Electric Field (4:15)
- 21.3 Electric Dipoles part 1 and part 2
- 21.4 Torque and Potential energy of a Dipole in an Electric Field (10:54)
- Gauss’ Law
- Electric Potential & Potential Energy
- 23.1 Introduction (7:34)
- 23.2 Mathematical Form of Potential Energy (7:03)
- 23.3 Mathematical Form of the Potential Function (5:30)
- 23.4 Vector Calculus Mathematical Form (9:05)
- Capacitance
- 24.1 Definition of Capacitance (3:53)
- 24.2 Types and Combinations of Capacitors (10:39)
- 24.3 Dielectric materials (4:30)
- 24.4 Capacitance values for other simple geometries (5:14)
- Electric Current & Resistance
- 25.1 Electric Current (3:38)
- 25.2 Electrical Resistance (8:00)
- 25.3 Resistivity – the inherent resistance for a given substance (not for an object) (10:19)
- 25.4 Power (energy) loss (6:00)
- 25.5 Current Density (6:09)
- Direct Electrical Currents
- 26.1 Kirchhoff’s Laws (8:50)
- 26.2 RCV Circuit (15:23)
- Magnetic Fields
- 27.1 Magnetic Fields from Natural Objects and the Environment (9:56)
- 27.2 Magnetic Force Equation on Charges and Currents (10:35)
- 27.3 Magnetic Moments (8:32)
- 27.4 Gauss’ Law for Magnetism – One of Maxwell’s 4 Equations (6:02)
- 27.5 Motion of Charged Particles in a Magnetic Field (9:49)
- Magnetic Field Sources
- 28.1 The Source Equation for the Magnetic Field: The Biot-Savart law (10:56)
- 28.2 The Magnetic Field for Simple Geometries (10:13)
- 28.3 Force between parallel infinite conductors: - Definition of the Ampere (6:00)
- 28.4 Amperes Law – One of the four fundamental Maxwell’s Equations (5:56)
- 28.5 Diamagnetic Substances (like dielectric substances with E fields) (9:14)
- 28.6 Amperes Law as Modified by Maxwell – One of Maxwell’s Four Equations (8:41)
- Faraday’s Law
- Induction
- 30.1 Self Induction (7:00)
- 30.2 The General RLV Circuit (14:41)
- 30.3 Transformers – Mutual Inductance (7:31)
- Alternating Electric Currents
- 31.1 The General RCLV Circuit Equation (with constant voltage V0) (15:50)
- 31.2 Three cases result from the square root (9:12)
- 31.3 Discussion of Overdamped & Critically Damped
- 31.4 Discussion of Underdamped (review the harmonic oscillator general equations) (11:25)
- Maxwell’s Equations
- 32.1 Lorentz force equation (6:17)
- 32.2 Gauss’ law of electricity (4:16)
- 32.3 Gauss’ law of magnetism (4:03)
- 32.4 Faraday’s law of induction (5:13)
- 32.5 Ampere’s law modified by Maxwell (7:43)
- 32.6 The differential forms use equations (not used in this course)
- Solution in a Vacuum – EM Waves
- 33.1 Overview of Maxwell’s Discovery (7:58)
- 33.2 Form of the EM Wave (6:09)
- 33.3 Energy and Momentum of the EM Wave (3:34)
- 33.4 Doppler Effect (6:37)
- Reflection of Light & Mirrors
- 34.1 Plane Mirrors (4:32)
- 34.2 Spherical Mirrors (5:12)
- 34.3 Image Equation for Objects and Images in General & Magnification (12:28)
- Refraction of Light & Lenses
- 35.1 Index of Refraction & Internal Refraction (11:08)
- 35.2 Brewster’s angle and Dispersion of Light (8:00)
- 35.3 Farsightedness & Nearsightedness - Aberrations (9:29)
- 35.4 Snell’s Law of Refraction (10:20)
- 35.5 Applications: Magnifying Glass, Telescope, Microscope (10:17)
- Interference & Wave Nature of Light
- 36.1 Linear Superposition (9:39)
- 36.2 Young’s Double Slit and Multiple Slits (10:43)
- 36.3 Single Slit Diffraction (7:22)
- Special Relativity 1905
- 37.1 Michelson –Morley Experiment c is constant (10:40)
- 37.2 Einstein’s Special Theory (5:54)
- 37.3 Lorentz Contraction & Time Dilation (9:38)
- 37.4 Relativistic Energy Equation (13:08)
- 37.5 Lorentz Transformation (6:27)
- 37.6 The Relativistic Scalar Product in 4 Dimensions (10:06)
- 37.7 Four Momentum Vector (5:15)
- General Relativity & Astrophysics 1916
- 38.1 Foundational Need for General Relativity (2:57)
- 38.2 Elevator experiment (7:46)
- 38.3 Rotating Platform Mathematically part 1 - part 2
- 38.4 The Mathematical Theory of General Relativity (8:47)
- Foundations of Quantum Mechanics – Particles & Waves
- 39.1 Cavity Radiation - Plank (7:49)
- 39.2 Photoelectric Effect (10:13)
- 39.3 Compton Scattering of photons and electrons (2:37)
- 39.4 De Broglie Wave Hypothesis (4:43)
- 39.5 Davisson – Germer Experiment (2:20)
- 39.6 The Wave Equation for Matter (must replace the old Newton equation for particles) (3:46)
- 39.7 Heisenberg Uncertainty Principle (4:49)
- 39.8 Particle in a Box (6:16)
- Atomic Theory
- 40.1 The Model of the Atom: Prior to 1911 and afterward
- 40.2 Bohr’s Model of the Atom:
- 40.3 Pauli Exclusion Principle:
- 40.4 Stimulated Emission of Radiation:
- 40.5 Atomic Spectra Equation:
- 40.6 Explanation of the Bohr Hypothesis by De Broglie:
- 40.7 Schrödinger Equation:
- 40.8 Pauli Exclusion Principle:
- Nuclear Theory & Radioactivity
- 41.1 Nucleons:
- 41.2 Nuclear reactions:
- 41.3 Half-Life & Radioactivity:
- 41.4 Biological Effects of Radiation
- 41.5 Nuclear Fission and Fusion
- Elementary Particle Theory
- Cosmology
- 43.1 Cosmology
- Appendix
-
- 44.1 Mathematics Background
- 1. The Number System(25:30)
- 2. Infinite Numbers(10:59)
- 3. ‘Scientific notation & Numbers to Other Bases(13:35)
- 4. Numerical Uncertainty & Order of Magnitude Numbers(5:52)
- 5. Data & Metadata(3:29)
- 6. Supporting concepts in Logic – Origin in the special operations of logical & rational thought(7:22)
- 7. Basic Algebra – Origin in expressing relationships among quantities represented by symbols(17:03)
- 8. Geometry – Origin in characterizing geometrical shapes in 2 and 3 dimensions(11:35)
- 9. Trigonometry(6:36)
- 10. Series expansions – Originate in solutions to equations for transcendental values(15:24)
- 11. Scalars, Vectors, Matrices, Tensors Linear Algebra & Matrix Theory(21:07)
- 12. More Advanced foundations of vector notation for LVS (Linear Vector Spaces)(8:07)
- 44.2 Energy & Power
- 1. Energy Units
- 2. Power Units
- 3. Efficiency (approximate values)
- 4. Population
- 5. US Energy Usage
- 44.1 Mathematics Background