Foundational Mathematics for Actuaries / CFA / FRM

Foundational Mathematics for Actuaries / CFA / FRM, available at $64.99, has an average rating of 4.6, with 35 lectures, 1 quizzes, based on 70 reviews, and has 1488 subscribers.

You will learn about Set Theory Functions and terminology Differentiation Chain Rule, Product Rule & Quotient Rule Stationary Points for univariate and bivariate functions Lagrange Multipliers for Constrained Problems Integration Technique 1: Integration by Inspection Technique 2: Partial Fractions Technique 3: Integration by Substitution Technique 4: Integration by Parts Double Integrals Differential Equations Sequences and Series Linear Algebra This course is ideal for individuals who are Students who want to write the Actuarial Exams or Actuaries who want to refresh their math ability or Students who want to write CFA Level 1 or Students who want to write FRM Part 1 It is particularly useful for Students who want to write the Actuarial Exams or Actuaries who want to refresh their math ability or Students who want to write CFA Level 1 or Students who want to write FRM Part 1.

Enroll now: Foundational Mathematics for Actuaries / CFA / FRM

Summary

Title: Foundational Mathematics for Actuaries / CFA / FRM

Price: $64.99

Average Rating: 4.6

Number of Lectures: 35

Number of Quizzes: 1

Number of Published Lectures: 35

Number of Published Quizzes: 1

Number of Curriculum Items: 36

Number of Published Curriculum Objects: 36

Original Price: $39.99

Quality Status: approved

Status: Live

What You Will Learn

Set Theory
Functions and terminology
Differentiation
Chain Rule, Product Rule & Quotient Rule
Stationary Points for univariate and bivariate functions
Lagrange Multipliers for Constrained Problems
Integration
Technique 1: Integration by Inspection
Technique 2: Partial Fractions
Technique 3: Integration by Substitution
Technique 4: Integration by Parts
Double Integrals
Differential Equations
Sequences and Series
Linear Algebra

Who Should Attend

Students who want to write the Actuarial Exams
Actuaries who want to refresh their math ability
Students who want to write CFA Level 1
Students who want to write FRM Part 1

Target Audiences

Students who want to write the Actuarial Exams
Actuaries who want to refresh their math ability
Students who want to write CFA Level 1
Students who want to write FRM Part 1

Course Overview

Before writing the Actuarial, CFA or FRM Exams, you need to have a solid understanding of Mathematics. In this course we will go through the International Actuarial Association syllabus requirements for Foundational Maths which is very similar to the requirement for CFA and FRM. We will look at Set Theory, Functions, Differentiation and Integration. Once you have completed this course you will be able to attempt the Mathematical Statistics and Financial Mathematics exams of the Actuarial Profession.

Contents

Sets and Function
1. Set Theory
2. Functions
Differentiation
1. Rules of Differentiation
2. Finding Stationary Points on a curve
3. Chain Rule
4. Product & Quotient Rule
5. Partial Derivatives
6. Finding Stationary Points on a surface
7. Lagrange Multipliers for Optimal Solutions
Integration
1. Introduction to the Integral
2. Integration by Inspection
3. Partial Fractions
4. Integration by Substitution
5. Integration by Parts
6. Double Integrals
Differential Equations
1. General Solution
2. Particular Solution
3. Two Functions
4. Integrating Factors
Sequences & Series
1. Introduction to Sequences and Series
2. Theory of Sequences
3. Arithmetic Progression
4. Geometric Progression
5. Series
Linear Algebra
1. Introduction to Linear Algebra
2. Vectors and their Operations
3. Matrices and their Operations
4. Determinants and Inverse Matrices

About the Presenter:

Hi I’m MJ the Fellow Actuary. I’ve been making educational videos since 2013 on YouTube. I’ve passed all the actuarial exams and am here to help you do the same. I’ve majored in Mathematical Statistics and have published research in the South African Journal of Science on Artificial Intelligence. I’ve also done a Ted Talk on advanced studying methods. As your instructor my purpose is to make sure you understand every concept in these courses. If you get stuck with anything, send me a message, I’m here to help.

Other Courses that I offer:

Introduction to R programming
Mathematical Statistics
Financial Mathematics
And more on Actuarial Science and Finance

Course Curriculum

Chapter 1: Introduction

Lecture 1: Course Outline

Chapter 2: Set Theory and Functions – Precalculus

Lecture 1: Set Theory

Lecture 2: Solution to the Set Theory Quiz

Lecture 3: Functions

Lecture 4: Some Interesting Functions

Chapter 3: Differentiation – Calculus Part 1

Lecture 1: Rules of Differentiation

Lecture 2: Finding Stationary Points on a Curve

Lecture 3: Chain Rule

Lecture 4: Product & Quotient Rule

Lecture 5: Partial Derivatives

Lecture 6: Finding Stationary Points on a Surface

Lecture 7: Lagrange Multipliers

Chapter 4: Integration – Calculus Part 2

Lecture 1: Introduction to Integration

Lecture 2: Integration by Inspection – Technique 1

Lecture 3: Partial Fraction – Technique 2

Lecture 4: Integration by Substitution – Technique 3

Lecture 5: Integration by Parts – Technique 4

Lecture 6: Double Integrals

Chapter 5: Differential Equations – Calculus Part 3

Lecture 1: Differential Equation – General Solution

Lecture 2: Differential Equation – Particular Solution

Lecture 3: Differential Equation – Two Functions

Lecture 4: Differential Equation – Integrating Factors

Chapter 6: Sequences & Series

Lecture 1: Introduction to Sequence & Series

Lecture 2: Theory of Sequences

Lecture 3: Arithmetic Progression

Lecture 4: Geometric Progression

Lecture 5: Series

Lecture 6: Concepts

Lecture 7: Limit Law

Lecture 8: Squeeze Theorem (Sandwich Theorem)

Lecture 9: Taylor and Maclaurin Series Expansion (Power Series)

Chapter 7: Linear Algebra

Lecture 1: Introduction to Linear Algebra

Lecture 2: Vectors and their Operations

Lecture 3: Matrices and their Operations

Lecture 4: Determinants and Inverse Matrices

Instructors

Michael Jordan
Actuary (FASSA/CERA)

Rating Distribution

1 stars: 0 votes
2 stars: 2 votes
3 stars: 2 votes
4 stars: 23 votes
5 stars: 43 votes

Frequently Asked Questions

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You can view and review the lecture materials indefinitely, like an on-demand channel.

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