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Semester 1

Fundamentals of Algebra and Calculus (MATH07003)

Subject

Mathematics

College

SCE

Credits

20

Normal Year Taken

1

Delivery Session Year

2022/2023

Pre-requisites

Course Summary

An introductory course in University Mathematics covering topics not covered in the previous education of many incoming undergraduates on degrees involving Mathematics.Delivery of the course is principally online. The main content of the course consists of weekly units. Each unit contains an online test for credit.

Course Description

This course is intended for entering students who will be studying the first year mathematics courses as part of their programmes. The course introduces and develops a range of topics that incoming undergraduates may not have previously studied, or may benefit from studying in more depth. On successful completion, students will be well-prepared for continuing University mathematics. The modules are centred around calculus (particularly integration) and algebra (with topics such as complex numbers and more advanced use of vectors). The central topics are as follows. Algebra1. Vectors2. Polynomials and rational functions3. Functions (including trigonometric, exponential and logarithmic)4. Complex numbers5. Sequences and seriesCalculus1. Principles and techniques of differentiation2. Further techniques and applications of differentiation3. Principles of integration4. Methods of integration5. Applications of integration

Assessment Information

Written Exam 0%, Coursework 100%, Practical Exam 0%

Additional Assessment Information

80% calculated from scores on successful online Unit Tests, completed each week during semester20% from a final online synoptic test (in which a minimum score of 40% is required to pass the course)

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