Explore multivariable calculus, vector fields, and advanced integration techniques.
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What you'll achieve
Clear, practical outcomes you can build through quick repetition.
Understand functions of several variables and partial derivatives.
Analyse multiple integrals and their applications in engineering and physics.
Explore vector calculus concepts including gradient, divergence, and curl.
Apply multivariable calculus to optimisation and real-world problem solving.
Develop strong analytical and problem-solving skills for advanced studies.

Course overview
Calculus III builds on single-variable calculus to examine functions of several variables. Students study partial derivatives, multiple integrals, vector calculus, gradient, divergence, curl, and applications in physics and engineering. The course emphasises analytical thinking and problem-solving for real-world applications, including fluid dynamics, electromagnetism, and optimisation in multiple dimensions. By combining theoretical concepts with practical exercises, learners develop the skills to analyse complex multivariable systems and prepare for advanced studies in mathematics, engineering, and applied sciences.
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