Differential Calculus: The derivative as the gradient of the tangent to the graph, interpretation of the derivative as a rate of change, the formal definition of the derivative and the calculation of simple examples from first principles, differentiation of elementary functions, elementary properties of the derivative, including the product rule, quotient rule and the chain rule, using differentiation to find and classify stationary points, applications to finding basic Maclaurin series.
Integral Calculus: The integral as the area under a graph, definite and indefinite integrals, integration of simple functions, integration by parts, integration by substitution integration using partial fractions, separable first order ordinary differential equations.
Contact hours: 44
Private study: 106
Total: 150
Assessment 1 (10-15 hrs) 20%
Assessment 2 (10-15 hrs) 20%
Examination (2 hours) 60%
Reassessment methods:
Like-for-like
The University is committed to ensuring that core reading materials are in accessible electronic format in line with the Kent Inclusive Practices.
The most up to date reading list for each module can be found on the university's reading list pages.
The intended subject specific learning outcomes.
On successfully completing the module students will be able to:
1 demonstrate understanding of the basic body of knowledge associated with differential and integral calculus of functions of a single variable;
2 demonstrate the capability to solve problems and apply the basic techniques associated with single variable calculus in several well-defined contexts;
3 demonstrate a mathematical proficiency suitable for stage 1 entry.
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