Core Mathematics I module (MA11001)

Mathematics 1A is an introductory mathematics module in several university courses. It covers fundamental concepts such as algebra, calculus, and geometry. The topics covered provide a solid foundation for more advanced studies. Skills covered include learning to solve equations, understand functions, and analyze graphs. As well as studying individual topics, you will be introduced to connections between different areas of maths.

This module is part of a series of four modules, Mathematics 1A, 1B, 2A, and 2B, which are the core Mathematics modules at Levels 1 and 2. These modules provide a solid foundation in calculus, algebra, and geometry. You will need these for higher-level modules.

In general, studying mathematics develops critical thinking and problem-solving abilities. These skills are not only vital for academic success but also highly valued in the job market. Mathematics is the language of science and technology. Proficiency in this opens doors to careers in fields like data science, finance, and engineering. This module enhances your logical reasoning and analytical skills. These skills enhance your ability to tackle complex problems, making you a more effective and versatile thinker.

What you will learn

In this module you will:

• explore fundamental mathematical concepts that build a strong foundation for problem-solving and analysis
• study topics in algebra, including functions, complex numbers, and conic sections
• understand functions as key structures in mathematics that describe relationships between variables. This will include trigonometric, exponential, and logarithmic functions
• explore complex numbers. These are an extension of conventional real numbers. They provide a rich structure for finding real solutions to equations
• investigate conic sections. These are elegant curves with special properties that appear in unexpected areas of mathematics
• learn about differential calculus and its applications. This is a powerful tool for understanding how functions behave. This will lead to integral calculus and differential equations that underpin much of modern mathematics
• develop general problem-solving strategies.

By the end of this module, you will be able to:

• manipulate algebraic expressions and solve equations
• understand a variety of concepts. These will include complex numbers, exponential and logarithmic functions and limits
• use calculus to understand key properties of functions

Assignments / assessment

• homework assignments (50%)
• final exam (50%)

Teaching methods / timetable

• three one-hour lectures weekly
  • key points of the week's content will be discussed
  • lecture notes covering the full module content will be available before classes
  • in-class time will be prioritised for interactive discussion
• two hours of tutorials weekly
  • solve problems individually and in groups
  • support with difficulties will be provided by your lecturers and peers