F17XP - Mathematics 2

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:

apply integration techniques to evaluate definite and indefinite integrals
solve first and second-order differential equations using appropriate methods
utilise vector calculus to analyse vector fields, calculate line integrals, and apply the fundamental theorems of vector calculus
apply matrix operations to solve systems of linear equations and analyse eigenvalues and eigenvectors
model real-world problems using mathematical concepts from calculus, differential equations, and linear algebra

Further details

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SCQF Level: 7

Credits: 15