Foundational Mathematics for Actuaries / CFA / FRM

🎓 Foundational Mathematics for Actuaries / CFA / FRM with MJ the Fellow Actuary

Course Overview 🚀

Before tackling the rigorous exams of the Actuarial, CFA, or FRM fields, it's crucial to have a firm grasp of Foundational Mathematics. This course is meticulously designed to align with the International Actuarial Association syllabus requirements and is equally beneficial for candidates preparing for CFA and FRM examinations. We will delve into Set Theory, Functions, Differentiation, Integration, and more, equipping you with the skills needed to confidently attempt the Mathematical Statistics and Financial Mathematics components of the Actuarial Profession's qualification.

Contents 📚

The course is structured into comprehensive modules, each broken down for ease of learning:

• Sets and Functions ⚫️

  • Set Theory 🧮
  • Functions 📈
    • Rules of Differentiation 🔄
    • Finding Stationary Points on a curve 📐
    • Chain Rule ✎
    • Product & Quotient Rule 🔁
    • Partial Derivatives 🌡️
    • Finding Stationary Points on a surface 🌏
    • Lagrange Multipliers for Optimal Solutions 🏆

• Integration 🌐

  • Introduction to the Integral 📉
  • Integration by Inspection 🔍
  • Partial Fractions 🧪
  • Integration by Substitution 🔄
  • Integration by Parts ✋
  • Double Integrals 🌍

• Differential Equations 💫

  • General Solution 🌟
  • Particular Solution 🎭
  • Two Functions 🤝
  • Integrating Factors 🍃

• Sequences & Series ♾️

  • Introduction to Sequences and Series 📊
  • Theory of Sequences 📚
  • Arithmetic Progression 🔢
  • Geometric Progression 🔄
  • Series 📈

• Linear Algebra 🔫

  • Introduction to Linear Algebra 📑
  • Vectors and their Operations 🛣️
  • Matrices and their Operations 🎭
  • Determinants and Inverse Matrices 🔍

About the Presenter: 👩‍🏫

Hi, I'm MJ the Fellow Actuary! I've been on a mission to make complex mathematical concepts accessible through my educational videos since 2013. With a Bachelor's degree in Mathematical Statistics and research contributions to the South African Journal of Science on Artificial Intelligence, I have a deep understanding of the subject matter. I also shared my insights on advanced studying methods at a TED Talk. As your instructor, my commitment is to ensure you grasp each concept thoroughly. Should you encounter any difficulties, feel free to reach out—I'm here to support your learning journey every step of the way.

Additional Courses Offered 🎥

Expand your knowledge with these additional courses from MJ the Fellow Actuary:

• Introduction to R programming 🐚
• Mathematical Statistics 📊
• Financial Mathematics 💸
• And more on Actuarial Science and Finance 🏦

Embark on your journey towards mastering Foundational Mathematics with confidence and expertise, all under the guidance of MJ the Fellow Actuary. 🌟 Dive into this comprehensive course today and unlock new opportunities in actuarial science, finance, and beyond!