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Major in Accounting from Anhui University of Finance and Economics(not a reputable university), 2 internships in accounting firm, One is McGladrey in Chicago(Financial service team, audit intern), the other is PwC in HongKong(audit intern). Graduated 2012, full time job at BDO China( Accounting firm). Resigned from previous job due to health concern in 2012. now: part-time job at a local investment bank( mostly IPO business) and take part in C++ Online program. Want to transfer to quant staff in the future.So MFE program is a must for me. How could I strengthen my background(I have plenty of time to now) GMAT 690(V31, Q50, Writing5.0, IR6.0) TOEFL 102( will take another time at Oct). I understand that my background is very weak, so any advice from you to help me? Thanks~
The following are math courses I took during undergraduate.
One Academic Year Calculus, From Anhui University of Finance and Economics,
Part I, Grades: 94 Credit: 4
Part 2, Grades: 92 Credit: 4
Chapter 1 Function
1.1 Concept of Function
1.2 Property of Function
1.3 Inverse Function
1.4 Elementary Function
1.5 Application of Function in Economics
Chapter 2 Limits and Continuity
2.1 Limits of Sequence of Numbers
2.2 Limits of Function
2.3 Unlimitedness
2.4 Operation of Limits
2.5 Squeeze Theorem
2.6 Continuity of Function
2.7 Comparison among infinitesimal
Application: Koch-Curve
Chapter 3 Derivatives and Differential
3.1 Concept of Derivatives
3.2 Derivatives Rule
3.3 Higher-Order Derivatives
3.4 Differential
3.5 Application of Derivatives in Economics
Chapter 4 Mean-Value Theorem and Application of Derivatives
4.1 Mean-Value Theorem
4.2 L’Hospital Rule
4.3 Monotonicity of Function
4.4 Maximum of Function
4.5 Concave-Convex, Inflection point and asymptote
Chapter 5 Indefinite Integral
5.1 Concept and property of Indefinite integral
5.2 Fundamental integral methods
5.3 Integration by substitution
5.4 Integration by parts
5.5 Integration of rationale function
Chapter 6 Definite integral
6.1 Concept and property of Indefinite integral
6.2 Fundamental theorem for definite integral
6.3 Computation methods for definite integral
6.4 Application of definite integral
6.5 Improper integral
Chapter 7 Infinite Series
7.1 Concept and property of constant series
7.2 Convergence and divergence of positive term series
7.3 Convergence and divergence of any term series
7.4 Power Series
7.5 Power Series Expansion for function
Chapter 8 Differential and integral for multivariate function
8.1 Space analytic geometry
8.2 Concept for multivariate function
8.3 Partial Derivatives
8.4 Total Differential
8.5 Differentiation Methods for multivariate compound function and implicit function
8.6 Maximum and minimum for multivariate function
8.7 Concept and property for double integral
8.8 Computation method for double integral
Chapter 9 Introduction to differentiation equation
9.1 Concept for differentiation equation
9.2 First-order differentiation equation
9.3 Second-order liner differential equation with constant coefficients
9.4 Application of differentiation equation
Chapter 10 Introduction to difference equation
10.1 Concept for difference equation
10.2 First order liner difference equation with constant coefficients
10.3 Second order liner difference equation with constant coefficients
1.1 Nth-order Determinant
1.2 Property of determinant
1.3 Expansion of determinant
1.4 Cramer’s Rule
Chapter 2 Matrix
2.1 Definition of Matrix
2.2 Operation of Matrix
2.3 Typical Matrix
2.4 Block Matrix
2.5 Inverse Matrix
2.6 Preliminary Matrix Transformation
Chapter 3 System of liner equations
3.1 N dimensional vector
3.2 Rank of vector group
3.3 Rank of Matrix
3.4 General theory of solutions to system of liner equations
Chapter 4 Vector Space
4.1 Vector Space
4.2 Inner product of Vector
4.3 Orthogonal transformation and orthogonal matrix
Chapter 5 Eigenvalue and eigenvector
5.1 Eigenvalue and eigenvector
5.2 Similarity matrix and diagonalization of matrix
5.3 Diagonalzation for real symmetric matrix
Chapter 6 Quadratic form
6.1 quadratic form and its matrix
6.2 Standardization of quadratic form
6.3 Normalization of quadratic form
6.4 Positive definite quadratic form and positive definite matrix
1.1 Random event
1.2 Probability
1.3 Conditional probability and independence
1.4 Total probability formula and Bayes Formula
Chapter2 Distribution and numerical characteristic of random variables
2.1 Random Variables
2.2 Distribution of discrete variable
2.3 Distribution functions of random variable
2.4 Distribution of continuous variable
2.5 Distribution of random variable function
2.6 Numerical characteristic of random variable
Chapter 3 Random Vector
3.1 Distribution of Two-dimensional random vector
3.2 Numerical Distribution of random vector
3.3 Two-dimensional normal distribution
3.4 Law of large numbers and central limit theorem
3.5 N-dimensional random vector
Chapter 4 Sample Distribution
4.1 Statistics
4.2 Sample Distribution
Chapter 5 Statistical estimate
5.1 Point estimation
5.2 Evaluation for estimator
5.3 Interval estimation for normal population
5.4 Interval estimation for ratio
Chapter 6 Hypothesis testing
6.1 Concept of Hypothesis testing
6.2 Hypothesis testing for mean of normal population
6.3 Hypothesis testing for variance of normal population
6.4 Hypothesis testing for ratio
6.5 nonparametric-test
Chapter 7 Regression Analysis
7.1 Empirical formula and least square method for single variable linear regression
7.2 Significance test for single variable linear regression
7.3 Prediction and control for single variable linear regression
7.4 Linearization for non-linear problems
7.5 Least square method for multi-variables liner regression
The following are math courses I took during undergraduate.
One Academic Year Calculus, From Anhui University of Finance and Economics,
Part I, Grades: 94 Credit: 4
Part 2, Grades: 92 Credit: 4
Chapter 1 Function
1.1 Concept of Function
1.2 Property of Function
1.3 Inverse Function
1.4 Elementary Function
1.5 Application of Function in Economics
Chapter 2 Limits and Continuity
2.1 Limits of Sequence of Numbers
2.2 Limits of Function
2.3 Unlimitedness
2.4 Operation of Limits
2.5 Squeeze Theorem
2.6 Continuity of Function
2.7 Comparison among infinitesimal
Application: Koch-Curve
Chapter 3 Derivatives and Differential
3.1 Concept of Derivatives
3.2 Derivatives Rule
3.3 Higher-Order Derivatives
3.4 Differential
3.5 Application of Derivatives in Economics
Chapter 4 Mean-Value Theorem and Application of Derivatives
4.1 Mean-Value Theorem
4.2 L’Hospital Rule
4.3 Monotonicity of Function
4.4 Maximum of Function
4.5 Concave-Convex, Inflection point and asymptote
Chapter 5 Indefinite Integral
5.1 Concept and property of Indefinite integral
5.2 Fundamental integral methods
5.3 Integration by substitution
5.4 Integration by parts
5.5 Integration of rationale function
Chapter 6 Definite integral
6.1 Concept and property of Indefinite integral
6.2 Fundamental theorem for definite integral
6.3 Computation methods for definite integral
6.4 Application of definite integral
6.5 Improper integral
Chapter 7 Infinite Series
7.1 Concept and property of constant series
7.2 Convergence and divergence of positive term series
7.3 Convergence and divergence of any term series
7.4 Power Series
7.5 Power Series Expansion for function
Chapter 8 Differential and integral for multivariate function
8.1 Space analytic geometry
8.2 Concept for multivariate function
8.3 Partial Derivatives
8.4 Total Differential
8.5 Differentiation Methods for multivariate compound function and implicit function
8.6 Maximum and minimum for multivariate function
8.7 Concept and property for double integral
8.8 Computation method for double integral
Chapter 9 Introduction to differentiation equation
9.1 Concept for differentiation equation
9.2 First-order differentiation equation
9.3 Second-order liner differential equation with constant coefficients
9.4 Application of differentiation equation
Chapter 10 Introduction to difference equation
10.1 Concept for difference equation
10.2 First order liner difference equation with constant coefficients
10.3 Second order liner difference equation with constant coefficients
One Semester Liner Algebra, Content as followed
Grade: 96
Credit: 3
Chapter 1 Determinant1.1 Nth-order Determinant
1.2 Property of determinant
1.3 Expansion of determinant
1.4 Cramer’s Rule
Chapter 2 Matrix
2.1 Definition of Matrix
2.2 Operation of Matrix
2.3 Typical Matrix
2.4 Block Matrix
2.5 Inverse Matrix
2.6 Preliminary Matrix Transformation
Chapter 3 System of liner equations
3.1 N dimensional vector
3.2 Rank of vector group
3.3 Rank of Matrix
3.4 General theory of solutions to system of liner equations
Chapter 4 Vector Space
4.1 Vector Space
4.2 Inner product of Vector
4.3 Orthogonal transformation and orthogonal matrix
Chapter 5 Eigenvalue and eigenvector
5.1 Eigenvalue and eigenvector
5.2 Similarity matrix and diagonalization of matrix
5.3 Diagonalzation for real symmetric matrix
Chapter 6 Quadratic form
6.1 quadratic form and its matrix
6.2 Standardization of quadratic form
6.3 Normalization of quadratic form
6.4 Positive definite quadratic form and positive definite matrix
One semester Probability and Statistics
Grade 94
Credit 3
Chapter 1 Random event and probability1.1 Random event
1.2 Probability
1.3 Conditional probability and independence
1.4 Total probability formula and Bayes Formula
Chapter2 Distribution and numerical characteristic of random variables
2.1 Random Variables
2.2 Distribution of discrete variable
2.3 Distribution functions of random variable
2.4 Distribution of continuous variable
2.5 Distribution of random variable function
2.6 Numerical characteristic of random variable
Chapter 3 Random Vector
3.1 Distribution of Two-dimensional random vector
3.2 Numerical Distribution of random vector
3.3 Two-dimensional normal distribution
3.4 Law of large numbers and central limit theorem
3.5 N-dimensional random vector
Chapter 4 Sample Distribution
4.1 Statistics
4.2 Sample Distribution
Chapter 5 Statistical estimate
5.1 Point estimation
5.2 Evaluation for estimator
5.3 Interval estimation for normal population
5.4 Interval estimation for ratio
Chapter 6 Hypothesis testing
6.1 Concept of Hypothesis testing
6.2 Hypothesis testing for mean of normal population
6.3 Hypothesis testing for variance of normal population
6.4 Hypothesis testing for ratio
6.5 nonparametric-test
Chapter 7 Regression Analysis
7.1 Empirical formula and least square method for single variable linear regression
7.2 Significance test for single variable linear regression
7.3 Prediction and control for single variable linear regression
7.4 Linearization for non-linear problems
7.5 Least square method for multi-variables liner regression
One semester statistics
Grade 86 Credit 3