Course outline: The outline can be downloaded here.
Venue and Class timings: Following are the section-wise details:
- BCS 1A: 08:00 am to 9:20 am, Wednesday and Friday, Room: E&M 11, EE Building.
- BCS 1B: 09:30 am to 10:50 am, Wednesday and Friday, Room: E&M 11, EE Building.
Office Hours:
Please visit CS faculty meeting room on Wednesday and Friday from 11:00 am – 11:30 am
Marking scheme:
Assignments 20%, Midterms (I+II) 30%, Final 50%
Quizzes are exempted by the university due to the COVID-19 pandemic.
MATLAB Manual:
- An easy-to-understand MATLAB manual can be downloaded from the following link.
Course Content
- Lecture 1: Course Strategic Planning & Overview of Vectors (Lecture Notes)
- Course Breakdown (Download as PDF)
- Why Mechanics?
- Introduction to Vectors
- Resolution of Vectors
- Unit Vectors
- Lecture 2: Vectors (Lecture Notes)
- Philosophical Discussion on Physical Quantities
- Physical Intuition of Unit Vectors
- Scalar and Vector Product of Vectors
- Numerical Problems
- Lecture 3: Kinematics Tools (Lecture Notes)
- Position and Displacement Vector
- Average and Instantaneous Velocity
- Average and Instantaneous Acceleration
- Related Problems
- Lecture 4: 1D and 2D Motions (Lecture Notes)
- One Dimensional Motion
- Projectile Motion (2D Motion)
- Circular Motion (Reading Assignment)
- Related Problems
Assignment 1: A1 (PDF) (Due Date: 7th October 2020) Solution: A1Sol (PDF)
- Lecture 5: Numerical Problems of 1D and 2D Motions
- Lecture 6: Dynamics of the Motion (Lecture Notes)
- Newtonian Mechanics and its Limitations
- Quick Overview of General Relativity and Quantum Mechanics
- Define Force and Discuss its Characteristics in a Legitimate Way
- Principle of Superposition
- Frames of Reference (Inertial & Non-Inertial Ones)
- Pseudo Forces (in Non-Inertial Frames)
- Newton’s 1st and 2nd Law of Motion
- Define Mass
- Free-Body Diagram
- Lecture 7: Particular Forces and Implementation of Newton’s Laws (Lecture Notes)
- Exterior & Interior Forces
- The Gravitational Force
- Weight
- The Normal Force
- Frictional Force
- Tension
- Tutorial Session 1: Chapter 5 – Force & Motion-I
- Video Lecture: Link
- Video Lecture Notes (Download as PDF)
- Solved Examples: 5.01, 5.01, 5.02, 5.03, 5.04, 5.06
- Exercise Problems: 2, 3, 4, 5, 6, 7, 8, 9, 10, 17, 19, 23
Assignment 2: A2 (PDF) (Due Date: 14th October 2020) Solution: A2Sol (PDF)
Midterm-I Exam: MidI (PDF) + MidI – Solution (PDF) (20th October 2020)
- Lecture 8: Introduction to MATLAB Programming Language
- Quick Overview of MATLAB
- Advantages and Uses of Using it
- Notion of Syntax
- Basic Arithmetic Operations
- Lists and Matrix Operations
- Lecture 9: Introduction to Oscillations (Lecture Notes)
- Periodic Motion and Oscillations
- Some Particular Examples
- Kinematics of Oscillations
- Physical Intuition of Phase and Phase Constant
- Mathematical Formalism of Simple Harmonic Oscillation
- Revision of Midterm Syllabus
- Lecture 10: 1D and 2D Simple Harmonic Motion (Lecture Notes)
- Energy in Simple Harmonic Motion
- Linear (1D) SHM:
- Mass Attached to a Spring System
- Hook’s Law
- Angular (2D) SHM:
- Torsional Pendulum
- Simple Pendulum
- Angular Version of Hook’s Law
- Lecture 11: Circular Motion and Damped SHM (Lecture Notes)
- Circular Motion
- Equivalence of SHM and Projections of Circular Motion
- Graphical Intuition
- Damped Simple Harmonic Motion
- Natural and Driven Frequencies
- Resonance
- Tutorial Session 2: Chapter 15 – Oscillations
- Video Lecture: Link
- Video Lecture Notes (Download as PDF)
- Solved Examples: 15.01, 15.02, 15.04
- Exercise Problems: 2, 3, 4, 5, 6, 9, 11, 38, 42
- Lecture 12: Waves (Lecture Notes)
- Brief Introduction of Waves
- Types of Waves:
- Mechanical Waves
- Transverse Waves
- Longitudinal Waves
- Electromagnetic Waves
- Matter Waves
- Mechanical Waves
- Dynamics of Waves
- Speed of a Travelling Wave
- Principle of Superposition of Waves
- Interference
- Tutorial Session 3: Chapter 16 – Waves-I
- Video Lecture: Link
- Video Lecture Notes (Download as PDF)
- Solved Examples: 16.01, 16.02, 16.04
- Exercise Problems: 3, 4, 5, 7, 9, 10
Assignment 3: A3 (PDF) (Extended Due Date: 13th November 2020) Solution: A3Sol (PDF)
- Lecture 13: Introduction to Electrostatics (Lecture Notes)
- Introduce a Fundamental Quantity for an EM Theory
- Define Charge as a Physical Quantity
- Characteristics and Properties of a Charge
- Quantization/Discretization
- Conservation
- Coulomb’s Law and its Limitations
- Discussion on the Coulomb’s Constant and Permittivity of Free Space
- Principle of Superposition
- Lecture 14: Sample & Numerical Problems
- Video Lecture: Link
- Video Lecture Notes (Download as PDF)
- Solved Examples: 21.01, 21.02, 21.03, 21.04
- Exercise Problems: 3, 4, 5, 6, 13, 15, 26, 27, 28, 37, 41, 42
- Lecture 15: Electric Fields (Lecture Notes)
- Different Views of Fields
- Newton/Coulomb View: “Action at a Distance”
- Modern View: “Mediator of Force”
- QFT View: Particle are “Excitation of Energy”
- Electric Field and Its Detection
- Electric Field Lines
- Electric Field Due to a Point Charge
- Electric Field Due to a Dipole
- Discussion of Electric Dipole Moment
- Force on a Point Charge in an ‘External’ Electric Field
- Self Readings:
- Measuring Elementary Charge
- Ink-Jet Printing
- Electric Breakdown and Sparking
- Different Views of Fields
- Lecture 16: Gauss’ Law (Lecture Notes)
- Why do we need Gauss’ Law?
- Electric Flux for Flat and Arbitrary Surfaces
- Mathematical Formalism of Gauss’ Law
- Discussion on Gaussian Surface
- Prove the Duality between Gauss’ and Coulomb’s Law
Assignment 4: A4 (PDF) (Due Date: 24th November 2020) Solution: A4 Sol (PDF Download)
- Tutorial Session 4: Chapter 22 – Electric Fields
- Video Lecture Notes (Download as PDF)
- Solved Examples: 22.01, 22.02, 22.04
- Exercise Problems: 3, 5, 7, 39, 42, 44, 46, 47
- Lecture 17: Applications of Gauss’ Law (Lecture Notes)
- Symmetries in Physics
- Compute Electric Fields for Some Known Symmetries
- Cylindrical Symmetry
- Planar Symmetry
- Spherical Symmetry (Conducting and Non-Conducting)
Midterm-II Exam: MidII (PDF) + MidII – Solution (PDF) (24th November 2020)
- Lecture 18: Revised Course Planning + Midterm Discussion
- Devise a strategy for online lecture delivery
- Class Attendance
- Mode of Assignment Submission; Google Classroom
- Midterm II Discussion
- Lecture 19: Capacitance – I (Lecture Notes)
- Video Lecture: Link
- Digression on electric potential energy and electric potential
- Another digression on calculating the potential difference from fields
- Define a capacitor
- How a capacitor becomes charged?
- Discussion on the capacitance of the capacitor
- Devise a recipe for calculating the capacitance for the special “geometries“.
- Lecture 20: Capacitance – II (Lecture Notes)
- Video Lecture: Link
- Types of capacitors according to their symmetries
- Computing capacitances of these geometries
- Capacitors in parallel combinations
- Capacitors in series combinations
- Tutorial Session 5: Chapter 25 – Capacitance
- Video Lecture (By M. Bilal Azam): Link
- Video Lecture Notes (Download as PDF)
- Lecture 21: Electric Current and Electric Density (Lecture Notes)
- Video Lecture: Link
- Introduction to Magnetism
- Assumptions of Magnetism
- Electric Current and Conventional Current
- Current Density (along with its Physical Intuition)
- Drift Speed
- Lecture 22: Resistance and Resistivity (Lecture Notes)
- Video Lecture: Link
- Ohm’s Law
- Discussion on Resistance
- Why we need the concept of Resistivity?
- Physical Intuition of Resistivity and Conductivity
- Calculating Resistance from the geometry of the material
- Variation of Resistivity with Temperature
- Self Reading: Discussion on Ohm’s Law
- Lecture 23: Chapter 26 Numerical Problems (Lecture Notes)
- Video Lecture: Link
- Lecture 24: Magnetic Fields and Hall Effect (Lecture Notes)
- Video Lecture: Link
- Why study magnetic fields?
- Ways of defining magnetic fields.
- Magnetic Force Direction of Magnetic Force; Right and Left Hand Rule
- Magnetic Field Lines
- Crossed Fields
- Hall Effect
- Lecture 25: Force Carrying Wire and Circulating Particle (Lecture Notes)
- Video Lecture: Link
- Circulating Charged Particle in External Magnetic Field
- Magnetic Force on a Current-Carrying Wire
- Lecture 26: Chapter 28 Numerical Problems (Lecture Notes)
- Video Lecture by Bilal: Link
- Lecture 27: Biot-Savart Law and Gauss Law (Lecture Notes)
- Video Lecture: Link
- Current carrying objects generate magnetic fields around them
- Calculate the magnetic field due to Current
- Force between two parallel currents
- Physical intuition of Ampere’s law
- Lecture 28 – Applications of Ampere’s Law (Lecture Notes)
- Video Lecture: Link
- Magnetic field (outside and inside) a long current carrying straight wire
- Magnetic field of a solenoid
- Magnetic field of a toroid
- Tutorial Session 6: Chapter 29 – Magnetic Fields Due to Currents
- Video Lecture Notes (Download as PDF)
Assignment 5: A5 (PDF) (Due Date: 3rd January 2021) Solution: A5 Sol (PDF Download)
Assignment 6: A6 (PDF) (Due Date: 3rd January 2021) Solution: A6 Sol (PDF Download)
Final Exam: Final – Solution (PDF) (8th February 2021)