Module Co-ordinator: TKouloukas@lincoln.ac.uk (Dr Theodoros Kouloukas)
Course Components
- Coursework Assignment (10%)
- Cengage Numerical Assignment x4 (15%)
- In-Class Assessment (25%)
- Final Exams (50%)
Current percentage (rounded up): 88%
Learning Outcomes
- LO1 Mathematically solve simple problems of waves.
- LO2 Construct multi-step solutions of problems of waves.
- LO3 Formulate main laws of waves.
Summary Content
Waves and Oscillations Summary Notes - created closely alongside practical session solutions. Waves and Oscillations Summary Questions - created from all questions given by the lecturer. Waves and Oscillations Practice Tests - created by extrapolating question style into novel content.
Flashcards
Waves and Oscillations Flashcards (Anki) - created during lectures. Waves and Oscillations Flashcards (Physical) - refined flashcards for long-time revision.
Notes
1. Dynamics of Periodic and Simple Harmonic Motion
1.1 Fundamentals of Simple Harmonic Motion (SHM)
- Basic Principles of Simple Harmonic Motion (SHM): Introduction to the defining characteristics and equations of simple harmonic motion.
- Objects Attached to Springs: Analysis of motion for objects connected to springs under SHM.
- Amplitude and Initial Phase: Exploration of amplitude and phase angle in the context of SHM.
1.2 Energy in Simple Harmonic Motion
- Kinetic and Potential Energy in Simple Harmonic Motion (SHM): Understanding the interplay of kinetic and potential energies in SHM systems.
- Energy Conservation in Simple Harmonic Motion (SHM): Examination of energy conservation principles specific to SHM.
2. Wave Motion
2.1 Nature and Types of Waves
- Transverse and Longitudinal Waves: Differentiating between transverse and longitudinal wave forms.
- One Dimensional Wave Motion: Investigating wave propagation in one-dimensional media.
2.2 Mathematical Modelling of Waves
- The Wave Equation: Derivation and implications of the wave equation in different contexts.
- Strain in Solid Bars Due to Wave Motion: Analysis of strain effects in solid bars due to wave motion.
3. Harmonic Propagating Waves
3.1 Characteristics of Harmonic Waves
- Properties of Harmonic Waves: Exploring the fundamental properties and behaviour of harmonic waves.
3.2 Doppler Effect in Wave Motion
- Understanding the Doppler Effect: Comprehensive study of the Doppler effect in various media.
4. Superposition of Waves and Group Velocity
4.1 Interference and Superposition of Waves
- Principles of Wave Interference: Examining how waves interact when they meet.
- Simple Wave Packets: Understanding the formation and properties of simple wave packets.
4.2 Group Velocity Concepts
- Group Velocity in Wave Mechanics: Analysis of group velocity and its significance in wave motion.
5. Standing Waves and Oscillations
5.1 Formation and Properties of Standing Waves
- Fixed Boundary Conditions and Standing Waves: Studying the formation of standing waves under fixed boundary conditions.
5.2 Normal Modes and Oscillations
- Normal Modes in Oscillatory Systems: Exploring the concept of normal modes in systems exhibiting standing waves.