DP Mathematics: Analysis and Approaches at GESS
At GESS, Mathematics: Analysis and Approaches (AA) offers students an in-depth exploration of mathematical theory and application, designed for those who enjoy developing their mathematics skills to become fluent in constructing and justifying mathematical arguments. This course emphasizes abstract mathematical concepts and rigorous logical reasoning, making it ideal for students who are passionate about mathematics as a subject in its own right and who enjoy mathematical problem-solving and generalization.

💠 Why Study Mathematics: Analysis and Approaches at GESS?
👉 Concept-Driven Learning – Students engage with key concepts such as functions, calculus, algebra, and proof, allowing them to build a strong theoretical foundation while exploring mathematical relationships.
👉 Logical Thinking and Problem Solving – The course focuses on developing students' ability to think analytically and solve complex mathematical problems using deductive reasoning and proof.
👉 Real-World Applications – While the course is rooted in abstract concepts, students explore the real-world applications of mathematical ideas, making connections to fields such as engineering, physics, and economics.
👉 Use of Technology – The course integrates the use of mathematical technology such as graphing calculators and software, enabling students to visualize mathematical models and perform calculations more efficiently.

💠 Core Units
The Mathematics: AA curriculum is divided into five key topics:

• Number and Algebra – Understanding the structure of algebraic systems, working with expressions, equations, and sequences.

• Functions – Exploring different types of functions and their properties, including polynomial, rational, exponential, and logarithmic functions.

• Geometry and Trigonometry – Investigating geometrical properties, trigonometric identities, and their applications in various contexts.

• Statistics and Probability – Analyzing data, calculating probabilities, and understanding the principles of statistical inference.

• Calculus – Studying rates of change, integration, and applications of calculus in problem-solving.

💠 Assessment
🔸 Internal Assessment (IA) – Students complete an individual exploration, where they investigate a mathematical topic of their choice. This fosters independent thinking and research skills while applying the concepts learned in the course.
🔸 Examinations

• Paper 1 (SL & HL) – A mix of short-answer and extended-response questions, testing knowledge and understanding of the core mathematical concepts.

• Paper 2 (SL & HL) – Focused on problem-solving, including applications and techniques used to solve real-world mathematical problems.

• Paper 3 (HL Only) – A deeper exploration of advanced topics, such as complex numbers and advanced calculus.

💠 Mathematics: Analysis and Approaches at GESS: HL vs. SL
🔹 Higher Level (HL): HL students study advanced topics, including more complex mathematical proofs, advanced calculus, and deeper exploration of mathematical theory. They also complete Paper 3, focusing on higher-level content.
🔹 Standard Level (SL): SL students focus on the core mathematical concepts with a slightly less intensive approach, though they still gain a comprehensive understanding of mathematical theory and its practical applications.

Mathematics: Analysis and Approaches at GESS equips students with the skills needed for university-level mathematics and various careers in fields such as mathematics, engineering, economics, and science.