This course introduces students to the calculus of several variables. It covers topics such as limits and continuity of functions of several variables, partial derivatives, total derivatives, partial and total differentiability, composite differentiation, Taylor's series expansion, maximisation and minimisation, and Jacobians. The course aims to provide a solid foundation for further studies in mathematical analysis and its applications.
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Everything you need to know about this course
Key areas covered in this course
No specific requirements needed
This course is designed to be accessible to all students. You can start immediately without any prior knowledge or specific preparation.
How your progress will be evaluated (3 methods)
Comprehensive evaluation of course material understanding
Comprehensive evaluation of course material understanding
Comprehensive evaluation of course material understanding
Explore the career paths this course opens up for you
Apply your skills in this growing field
Apply your skills in this growing field
Apply your skills in this growing field
Apply your skills in this growing field
Apply your skills in this growing field
Real-world sectors where you can apply your knowledge
Expert tips to help you succeed in this course
Thoroughly review all definitions and theorems related to limits, continuity, and differentiability.
Practice computing partial and total derivatives for a wide range of functions.
Focus on understanding and applying the chain rule in various contexts.
Master Taylor's series expansion techniques and their applications.
Practice solving constrained optimization problems using Lagrange multipliers.
Review the properties and applications of Jacobians in coordinate transformations.
Create concept maps linking related topics and formulas for quick recall.
Work through all examples and tutor-marked assignments to reinforce understanding.
Allocate sufficient time for practice problems and review of key concepts.
Form study groups to discuss challenging topics and share problem-solving strategies.