1.13 Trigonometric ratios of angles > 90, The four quadrants and trigonometric ratios in terms of coordinates, Basic trigonometric identities, Properties of triangles & parallelograms
Video Lesson P11, C1.13A
Video Lesson P11, C1.13B
1.14 Locus or trajectory of a particle in 1D, 2D & 3D, parametric equations using time variable: x(t), y(t), z(t)
3.1 Vectors & Scalars, Unit vectors, Position vector, Vector addition and subtraction, x-y-z components of vectors
PDF P11, C3.1
Video Lesson P11, C3.1A
Video Lesson P11, C3.1B
Video Lesson P11, C3.1C
Video Lesson P11, C3.1D
Video Lesson P11, C3.1E
Video Lesson P11, C3.1F
Video Lesson P11, C3.1G
Video Lesson P11, C3.1H
Video Lesson P11, C3.1I
Video Lesson P11, C3.1J
Video Lesson P11, C3.1K
3.2 Vector Multiplication, Dot product, Cross product, Scalar triple product (STP) and their applications
Video Lesson P11, C3.2A
Video Lesson P11, C3.2B
Video Lesson P11, C3.2C
Video Lesson P11, C3.2D
PDF P11, C3.2 Volume of a Parallelepiped
Video Lesson P11, C3.2E
Quiz P11, C3.2 (easy)
Video Solutions Quiz P11, C3.2 (easy)
Quiz P11, C3.2 (difficult)
Video Solutions Quiz P11, C3.2 (difficult)
3.3 Functions and their Graphs, Tangent and Secant drawn on Graphs, Slope of a Graph, Continuity
Video Lesson P11, C3.3A
Video Lesson P11, C3.3B
3.4 Informal concept of Limits, First principle definition of Derivative, Common Derivatives, Calculus of Sin, Cos, Tan, exp(x) & ln(x) functions, Asymptotes
Video Lesson P11, C3.4A
Video Lesson P11, C3.4B
Video Lesson P11, C3.4C
Video Lesson P11, C3.4D
Visualizing Sin function
Visualizing Cos function
Visualizing Tan function
Sin, Cos rotating wheel animation
Video Lesson P11, C3.4E
Video Lesson P11, C3.4F
3.5 Maxima & Minima, Concavity, Corners, Cusps, Points of inflection - Common Applications
Video Lesson P11, C3.5A
Video Lesson P11, C3.5B
Video Lesson P11, C3.5C
3.6 Product and Quotient rules of Differentiation, Chain rule, L'Hopital's rule, Rate of change, Derivatives w.r.t. time
Video Lesson P11, C3.6A
Video Lesson P11, C3.6B
Video Lesson P11, C3.6C
Video Lesson P11, C3.6D
Video Lesson P11, C3.6E
Video Lesson P11, C3.6F
Video Lesson P11, C3.6G
3.7 Plotting Graphs using Calculus - peaks, troughs, concavity, reflections, translations, stretching & compression, odd & even functions, periodic functions
Video Lesson P11, C3.7A
Video Lesson P11, C3.7B
Video Lesson P11, C3.7C
Video Lesson P11, C3.7D
Video Lesson P11, C3.7E
Video Lesson P11, C3.7F
3.8 Tangent line approximation, Maclaurin series of Sin, Cos, exp(x) and ln(1+x), other applications of Differential Calculus
Video Lesson P11, C3.8A
PDF P11, C3.8 Other Applications of Differential Calculus
3.9 Implicit differentiation, Graph of F(x,y) = C, slope of tangent & normal. Differential quantities, small changes & errors. Related rates
Video Lesson P11, C3.9A
Video Lesson P11, C3.9B
Video Lesson P11, C3.9C
Video Lesson P11, C3.9D
Video Lesson P11, C3.9E
Video Lesson P11, C3.9F
3.10 Indefinite Integration or Anti-derivative, Integration constant, Common Integrals, Substitution techniques
Video Lesson P11, C3.10A
Video Lesson P11, C3.10B
PDF P11, C3.10 Calculus Formulae
Video Lesson P11, C3.10C
Video Lesson P11, C3.10D
3.11 Definite Integration, Limits of Integration, Area under curves and other common applications of Definite Integration
Video Lesson P11, C3.11A
Video Lesson P11, C3.11B
Video Lesson P11, C3.11C
Video Lesson P11, C3.11D
Video Lesson P11, C3.11E
Video Lesson P11, C3.11F
3.12 Common differential elements useful in Physics, Length of curves, Surface and volume of revolution
Video Lesson P11, C3.12A
Video Lesson P11, C3.12B
3.13 Simple Differential Equations, initial value problem, boundary conditions, some more standard integrals useful in Physics, Integration by parts, Partial fractions, Improper Integrals
Video Lesson P11, C3.13A
Video Lesson P11, C3.13B
Video Lesson P11, C3.13C
Video Lesson P11, C3.13D
Video Lesson P11, C3.13E
Video Lesson P11, C3.13F
Graphs of x ^ (-n), n = 1,2,3,4,5
Chapter 4. Kinematics, Projectile & Circular motion, Relative motion, Relative velocity of approach and separation
4.1 Kinematic quantities and their definitions, Average & Instantaneous velocity and acceleration, Vector-Calculus of Kinematics, Important derivations, Projectile motion basics
Video Lesson P11, C4.1A
Video Lesson P11, C4.1B
Video Lesson P11, C4.1C
Video Lesson P11, C4.1D
Video Lesson P11, C4.1E
Average values of Scalar and Vector functions
Video Lesson P11, C4.1F
Video Lesson P11, C4.1G
Video Lesson P11, C4.1H
Video Lesson P11, C4.1I
Video Lesson P11, C4.1J
Video Lesson P11, C4.1K
Maximum range of a projectile fired from a tower
Video Lesson P11, C4.1L
4.2 Projectile motion on an inclined plane
Video Lesson P11, C4.2A
Video Lesson P11, C4.2B
Projectile motion on an inclined plane - a numerical problem
Video Lesson P11, C4.2C
4.3 Circular motion (uniform and non-uniform), centripetal and tangential accelerations
Video Lesson P11, C4.3A
Video Lesson P11, C4.3B
Video Lesson P11, C4.3C
Video Lesson P11, C4.3D
Video Lesson P11, C4.3E
4.4 General curvilinear motion in 2-D, normal and tangential accelerations, radius of curvature
Video Lesson P11, C4.4A
Video Lesson P11, C4.4B
**** some extra problems ****
Two ants moving in the x-y plane (simple kinematics problem)
Minimum speed required for an insect to jump over a pipe
Question # 1, Paper-1, JEE Advanced 2023 Physics
Video Lesson P11, C4.4C
Video Lesson P11, C4.4D
4.5 Graphs of kinematics variables: x-t, v-t, a-t graphs and their uses; translation, rotation (and shifting) of space (and time) coordinates
Note: Numbering of problems in next two videos is different from PDF P11, C4.6C
Video: P11, C4.6G (1-D Relative Motion problem solutions)
Video: P11, C4.6G continued (watch from 19:40 mark)
Video: P11, C4.6H (relative motion between two projectiles)
Video: P11, C4.6I River flow (boat and swimmer) theory and problems
Video: Advanced problems of 2-D relative motion
4.7 Relative velocity of approach and separation, Kinematics of pulleys and constrained motion
Video: P11, C4.7A
Video: P11, C4.7B (example problem)
Additional content: Old Kinematics video playlist
* Advanced portion done in last chapter of this course
Chapter 5. F = ma, Newton's Laws of Motion, Friction, Normal reaction, Mechanically constrained motion. Spring force
Old Video playlist on Newton's laws of motion
Chapter-5, Video-1
Chapter-5, Video-2
Chapter-5, Video-3
Chapter-5, Video-4
Chapter-5, Video-5
Chapter-5, Video-6
Chapter-5, Video-7
Chapter-5, Video-8
Chapter-5, Video-9
Chapter-5, Video-10
Chapter-5, Video-11
Chapter-5, Video-12
Chapter-5, Video-13
Chapter-5, Video-14
* Advanced portion done in last chapter of this course
Chapter 6. Work - Energy theorem, Potential energy, Kinetic energy, Power, Spring energy
Old Video playlist on Work, Energy and Power
Chapter-6, Video-1
Chapter-6, Video-2
Chapter-6, Video-3
Chapter-6, Video-4
* Advanced portion done in last chapter of this course
Chapter 7. Center of Mass, using Definite Integration for finding CM, F=ma for system of particles, Negative mass concept, Impulse, Momentum, Collisions, Variable mass & Rocket propulsion
Chapter-7, Video-1
Chapter-7, Video-2
Chapter-7, Video-3
Chapter-7, Video-4
Chapter-7, Video-5
Chapter-7, Video-6
Chapter-7, Video-7
* Advanced portion done in last chapter of this course
Chapter 8. Rotational Mechanics - Kinematics, Statics and Dynamics of rigid bodies, Instantaneous center/axis of rotation, Torque, Angular momentum, Rigid body collisions
Chapter-8, Video-1
Chapter-8, Video-2
Chapter-8, Video-3
Chapter-8, Video-4
Chapter-8, Video-5
Chapter-8, Video-6
Non-circular Gear examples
Chapter-8, Video-7
Chapter-8, Video-8
Chapter-8, Video-9
Chapter-8, Video-10
Chapter-8, Video-11
Chapter-8, Video-12
Chapter-8, Video-13
* Advanced portion done in last chapter of this course
Chapter 9. Gravitational Force & Field, Potential energy, Kepler's laws, Satellites, Orbits & Trajectories, High launch velocity projectile motion
Chapter-9, Video-1
Chapter-9, Video-2
* Advanced portion done in last chapter of this course
* Advanced portion done in last chapter of this course
Chapter 12. Fluid Statics, Pressure, Bulk modulus of liquids, non-flow dynamics, Fluid Dynamics of incompressible flow, Continuity Equation, Bernoulli's theorem, Viscosity and Shear stresses in Fluids, Surface Tension
* Advanced portion done in last chapter of this course
Chapter 13. Heat & Thermodynamics, Calorimetry, Heat transfer (conduction, convection, radiation) and related laws, Thermodynamic Processes in Gases, 1st and 2nd Laws of Thermodynamics, Compressible Flow, Kinetic Theory of Gases
* Advanced portion done in last chapter of this course
Chapter 14. Mechanical Waves and its Math/Calculus, Transverse & Longitudinal Waves, Superposition and Reflection of waves, Standing waves in Strings and Pipes, Doppler's effect
* Advanced portion done in last chapter of this course
Chapter 15. Advanced Calculus & Math for Physics and related sub-topics from all 11th Physics Chapters
Recap of all Calculus learnt till now
Advanced applications of Differential Calculus
Advanced applications of Integral Calculus
Advanced applications of Differential Equations
A summary of all types of Differentials Elements relevant in Physics
Phasors
More Physics contents will be revealed when the time comes