Udemy – IB Mathematics AA HL – Apps of Derivatives (Module 4)

This course is Module 4 of a structured IB Mathematics AA Higher Level series and focuses on one of the most heavily assessed areas of the syllabus: applications of derivatives. In IB Mathematics, differentiation is only the starting point. What truly matters is how derivatives are used to analyse, interpret, and justify conclusions about real mathematical situations. This module is designed to bridge the gap between mechanical differentiation and the type of reasoning the IB expects in exam questions.

You will study how derivatives are applied to:

• identify and classify maxima and minima
• perform optimisation with clear mathematical justification
• analyse tangents and normals
• sketch curves using first and second derivative information
• interpret rates of change in applied contexts
• solve related rates and motion problems using derivatives

Each lesson emphasizes:

• correct mathematical language
• structured IB-style reasoning
• common examiner expectations and pitfalls
• clear interpretation of results, not just calculation

This course avoids shortcuts and memorisation. Instead, it develops the analytical thinking required to score consistently in IB Mathematics AA HL, particularly in Paper 1 and Paper 2 questions involving applications of calculus.

The module is ideal as:

• structured support alongside school teaching
• targeted preparation for IB exam-style application questions
• a bridge between learning differentiation and applying calculus effectively

By the end of this course, learners will be able to use derivatives confidently, justify their conclusions clearly, and approach application questions with structure and precision—exactly as required by the IB assessment criteria.

Students under the age of 18 may only access this course through an account created and managed by a parent or legal guardian, in accordance with Udemy’s policies.

DOWNLOAD LINK: IB Mathematics AA HL – Apps of Derivatives (Module 4)

IB_Mathematics_AA_HL_Apps_of_Derivatives_Module_4_.part1.rar – 1000.0 MB
IB_Mathematics_AA_HL_Apps_of_Derivatives_Module_4_.part2.rar – 573.0 MB