Advanced Maths is not a nightmare for students anymore as the advancement of technology has made it easier for students to understand the core concepts much better. Mathematics is the bedrock for any newfangled discipline of science. Modern data science, including machine learning, requires a deep learning mathematical underpinning. Advanced Mathematics is important for newcomers arriving at data science from other professions like the chemical process industry, hardware engineering, medicine and healthcare industry, business management, etc. These disciplines or professions need math skills, unique analytical, and a curious mindset.

Advanced Maths is not an easy subject because of its complex numerical. It is quite difficult for students to understand even the basic concepts. The topics covered in this subject are tricky and include vast themes. Deep knowledge of advanced maths covers several topics, such as probability, trigonometry, algebra, and integration of complex variables, which can open doors in academics and the industry. Advanced Mathematics has made our life much easier as advanced mathematical equations like computers, the internet, TVs, cars, buildings, and whatnot surround us. Data Science and Artificial Intelligence is the new field for which advanced mathematical codings or numerals are essential.

Students pursue this course to understand the mathematical machinery behind the cool algorithms that helps them give an edge over their peers. This course is a specialized maths subject with numerous applications in engineering, science, business, computer science, etc.

**What is A-level Maths?**

Studying this serpentine subject is not an easy task. Students chasing this course invest most of their time understanding A-level mathematical algorithms and theorems. This particular course becomes more problematic for students who are indulged in other college activities. Missing regular classes can be risky, leading to a lack of background knowledge and basic facts. Participating in co-curricular activities can lead to a lack of time for proper practice of maths questions. Some students struggle to learn formulas, facts, sequences, and procedures. They rote learn the formulas but find it difficult to apply them practically. There are multiple topics that students have to cover in this course, starting from pure mathematics (algebra, calculus, geometry, etc.) to applied mathematics (mathematical physics, theory of computation, probability, statistics, etc.).

**Topics Covered in Advanced Maths**

The list below covers basic and advanced mathematics, methodology, mathematical statements, mathematical objects, and many more. Pure mathematics and Applied Mathematics are interrelated and intertwined.

**Topics Covered Under Advanced Maths Are:**

**Algebra**

- List of algebraic structures
- Glossary of field theory
- List of linear algebra topics, etc

**Calculus and Analysis**

- List of vector spaces in mathematics
- List of integration and measure theory topics, etc

**Geometry and Topology**

- List of triangle topics
- List of geometric topology topics, etc

**Combinatorics**

**Logic**

**Number Theory**

**Mathematical Physics**

**Theory of Computation**

**Probability and Statistics**

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