Foundational Mathematics for Actuaries – CFA – FRM

MJ the Fellow Actuary
What you'll 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
Requirements
School Maths
Description
Course OverviewBefore 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.ContentsSets and FunctionSet TheoryFunctionsDifferentiationRules of DifferentiationFinding Stationary Points on a curveChain RuleProduct & Quotient RulePartial DerivativesFinding Stationary Points on a surfaceLagrange Multipliers for Optimal SolutionsIntegrationIntroduction to the IntegralIntegration by InspectionPartial FractionsIntegration by SubstitutionIntegration by PartsDouble IntegralsDifferential EquationsGeneral SolutionParticular SolutionTwo FunctionsIntegrating FactorsSequences & SeriesIntroduction to Sequences and SeriesTheory of SequencesArithmetic ProgressionGeometric ProgressionSeriesLinear AlgebraIntroduction to Linear AlgebraVectors and their OperationsMatrices and their OperationsDeterminants and Inverse MatricesAbout 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 programmingMathematical StatisticsFinancial MathematicsAnd more on Actuarial Science and Finance
Who this course is for
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
Homepage

https://www.udemy.com/course/foundational-math-for-actuaries/

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