F17XO - Mathematics 1

To reinforce fundamental principles of mathematics and to lay the foundation for further acquisition of mathematical knowledge

1.1 Limits and continuity, Derivative and its applications, Univariate function integral theory, Differential equations

2.1 Analytic geometry

3.1 Infinite series

4.1 Multivariate function calculus, Multivariate function integral theory, Integral of vector function

By the end of the course, students should be able to do the following:

demonstrate an understanding of fundamental calculus concepts, including limits, continuity, and differentiation
apply calculus techniques to solve problems involving functions of a single variable, such as curve sketching and optimization
evaluate the convergence and divergence of infinite series using various tests
utilize multivariate calculus to analyse functions of several variables, including partial derivatives and multiple integrals
explain the connections between calculus concepts and their applications in various fields

Further details

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SCQF Level: 7

Credits: 15