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Lecture
Complex Numbers: Introduction and Operations
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Complex Numbers: Properties and Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.
Real Numbers and Functions
Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.
Differential Calculation: Trigonometric Derivatives
Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Derivatives and Trigonometry Fundamentals
Introduces derivatives, trigonometry, and motion principles through basic and trigonometric functions differentiation.
Complex Numbers: Polar Form, Powers, Roots
Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.
Complex Numbers: Polar Form
Explores complex numbers in polar form, Euler's formula, and coordinate transformation.
General Physics I: Course Organization
Covers the organization of a physics course for engineering students, including adjustments due to the current situation and support resources.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Derivability and Composition
Covers derivability, linear applications, composition of functions, and the gradient vector.
Verification Strategies for Exercises
Covers general verification strategies for solving exercises in science and engineering, emphasizing the importance of verifying solutions.