COURSE SUMMARY AND CONTEXT

The Electromagnetism 1 module is an S2 level course. It is highly recommended to have completed the Mathematics Tools 1 and Fundamental Mathematics 1 modules (S1) as prerequisites.

This course aims to provide the theoretical and practical foundations of electrostatics and magnetostatics.
It covers the use of coordinate systems, the application of fundamental theorems (Gauss, Ampere), and the understanding of electrostatic and magnetostatic forces.

Necessary prerequisites:
- Mastery of fractions, factorization, square roots, and powers
- Familiarity with coordinate systems, derivatives, and integrals
- Knowledge of vectors (norm, scalar product, projection)
- Understanding of electrostatic force concepts, interaction, and electric charges

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LEARNING OBJECTIVES

Upon completion of this course, students will be able to:
- Use Cartesian, cylindrical, and spherical coordinates to solve a problem
- Describe electrostatic forces, apply invariance and symmetry properties, and use the superposition principle
- Apply the relationship between the electric field and electrostatic potential
- Apply Gauss's theorem in integral form by choosing an appropriate closed surface
- Express and calculate electric currents based on current density and charge velocity
- Describe the magnetostatic field, apply symmetry properties, and apply Ampere's theorem through a closed loop

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COURSE OUTLINE

1. Session 1 : Coordinate systems
. Cartesian, cylindrical, and spherical coordinates
. Infinitesimal elements (line, surface, and volume)

2. Session 2 : Forces and electrostatic field of a charge distribution
. Charge distribution (line, surface, and volume)
. Definition of electrostatic force (Coulomb's Law)
. Determination of the electrostatic field by the principle of superposition
. Use of invariances and symmetries of the charge distribution

3. Session 3 : Electrostatic field and electrostatic potential
. Definition of the gradient operator
. Correlation between conservative force and electrostatic energy
. Definition and relationship between field and electric potential

4. Session 4 : Gauss's Theorem
. Definition of the electrostatic field flux
. Mathematical relationship between the flux through a closed surface and the enclosed charge
. Application of Gauss's theorem according to the type of surface (line, surface, volume)

5. Session 5 : Electric currents and current distributions
. Definition of electric current
. Expression and calculation of current density

6. Session 6 : Ampere's Theorem
. Definition of the magnetostatic field
. Lorentz force relation
. Biot-Savart Law (vector product)
. Application of invariances and symmetries of the charge distribution
. Expression and calculation of the magnetic field using Ampere's theorem

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ASSESSMENT METHODS

The evaluation is composed of four main activities:
. Final Exam (40% of the final grade)
. MidTerm Exam (25% of the final grade)
. Continuous Assessment 1 (20% of the final grade)
. Continuous Assessment 2 (15% of the final grade)
. Continuous assessments include Gauss's theorem and Ampere's theorem
. The total coefficient for the module is 5