Module Details |
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
Title | Calculus I | ||
Code | MATH101 | ||
Coordinator |
Dr M Gorbahn Mathematical Sciences Martin.Gorbahn@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2024-25 | Level 4 FHEQ | First Semester | 15 |
Aims |
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1. To introduce the basic ideas of differential and integral calculus, to develop the basic skills required to work with them and to apply these skills to a range of problems. 3. To introduce the notions of sequences and series and of their convergence. |
Learning Outcomes |
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(LO1) Understand the key definitions that underpin real analysis and interpret these in terms of straightforward examples. |
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(LO2) Apply the methods of calculus and real analysis to solve previously unseen problems (of a similar style to those covered in the course). |
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(LO3) Understand in interpret proofs in the context of real analysis and apply the theorems developed in the course to straightforward examples. |
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(LO4) Independently construct proofs of previously unseen mathematical results in real analysis (of a similar style to those demonstrated in the course). |
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(LO5) Differentiate and integrate a wide range of functions; |
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(LO6) Sketch graphs and solve problems involving optimisation and mensuration |
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(LO7) Understand the notions of sequence and series and apply a range of tests to determine if a series is convergent |
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(S1) Numeracy |
Syllabus |
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Properties of subsets of the real numbers including their boundedness, supremum and infimum. Algebraic and trigonometric functions. |
Recommended Texts |
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Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. |
Pre-requisites before taking this module (other modules and/or general educational/academic requirements): |
Co-requisite modules: |
Modules for which this module is a pre-requisite: |
Programme(s) (including Year of Study) to which this module is available on a required basis: |
Programme(s) (including Year of Study) to which this module is available on an optional basis: |
Assessment |
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EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Final Assessment | 90 | 50 | ||||
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Homework Standard UoL penalty applies for late submission. This is not an anonymous assessment. | 0 | 25 | ||||
class test on campus This is an anonymous assessment. | 40 | 25 |