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Semester 1
Introductory Mathematics with Applications (MATH07004)
Subject
Mathematics
College
SCE
Credits
20
Normal Year Taken
1
Delivery Session Year
2023/2024
Pre-requisites
Course Summary
A foundational course in Mathematics focused on non-specialist students willing to consolidate and build their previous mathematics education to better prepare for a wide variety of degrees. 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 acknowledges the cumulative nature of mathematics, and is intended for entering students who wish to consolidate and improve their understanding of mathematics by studying core mathematical topics in more depth. On successful completion, students will be well-prepared to apply mathematics in a wide range of disciplines for continuing undergraduate studies outside University mathematics or highly quantitative STEM subjects. The modules are centred around elementary functions and graphs, elementary algebra, solving equations, sequences and series. Elementary calculus concepts will be discussed.The central topics are as follows: 1. Quadratic functions and their graphs. 2. Polynomials, functions, graphs, and their inverses. 3. Mathematical reasoning and writing mathematical arguments. 4. Exponential and logarithmic functions. 5. Trigonometric functions using radian measure. 6. The circle (its geometry, as an implicit algebraic function, and as a parametric trigonometric function).7. Simultaneous equations (2 linear equations, or linear and quadratic), algebraic and graphical methods for solution. 8. Arithmetic and geometric sequences and series. 9. The binomial theorem, and binomial coefficients. 10. Calculus concepts: notion of limit, rate of change, and area.
Assessment Information
Written Exam 0%, Coursework 100%, Practical Exam 0%
Additional Assessment Information
Coursework : 100% Examination : 0%There is a final online test at end of course worth 20% of the coursework.
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