1st lesson free
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Scarlett
- Rate US$26
- Response 1h
-
Students5
Number of students Scarlett has accompanied since arriving at Superprof
Number of students Scarlett has accompanied since arriving at Superprof
US$26/hr
Contact
1st lesson free
- Mathematics
- Trigonometry
- Geometry
- Statistics
- Quantitative methods
Mathematics Unleashed: Empowering Minds, Shaping Futures. Experienced Algebra Instructor with Over 7 Years of Specialization in Guiding Students to Excel in Algebra.
- Mathematics
- Trigonometry
- Geometry
- Statistics
- Quantitative methods
Lesson location
About Scarlett
Key Areas
1. Statistics:
- Descriptive statistics: Mean, median, mode, standard deviation, variance.
- Inferential statistics: Hypothesis testing, confidence intervals, p-values, t-tests, chi-square tests.
- Regression analysis: Linear regression, multiple regression, logistic regression.
2. Probability:
- Probability theory: Basic principles, probability distributions, expected value.
- Discrete and continuous distributions: Binomial, Poisson, normal, and exponential distributions.
- Bayes’ theorem and conditional probability.
3. Calculus:
- Differential calculus: Derivatives, rates of change, optimization problems.
- Integral calculus: Integrals, area under curves, applications in physics and engineering.
4. Linear Algebra:
- Vectors and matrices: Matrix operations, determinants, eigenvalues, and eigenvectors.
- Systems of linear equations: Solving systems using various methods (Gaussian elimination, matrix inversion).
5. Discrete Mathematics:
- Combinatorics: Permutations, combinations, counting principles.
- Graph theory: Graphs, networks, shortest path problems.
- Logic and set theory: Propositions, logical operators, set operations.
6. Numerical Methods:
- Approximation techniques: Taylor series, numerical integration and differentiation.
- Solving equations: Iterative methods (Newton-Raphson, bisection method).
# Applications
1. Finance:
- Quantitative finance: Pricing of financial derivatives, risk management, portfolio optimization.
- Time series analysis: Forecasting stock prices, economic indicators.
2. Economics:
- Econometrics: Statistical methods for economic data, modeling economic relationships.
- Game theory: Analyzing strategic interactions among rational decision-makers.
3. Engineering:
- Optimization: Designing systems and processes for maximum efficiency.
- Control systems: Mathematical modeling of dynamic systems.
4. **Natural Sciences**:
- Data analysis: Experimental data interpretation, statistical significance in research.
- Modeling and simulations: Predicting natural phenomena using mathematical models.
# Tools and Techniques
- Software: R, Python (with libraries like NumPy, SciPy, pandas), MATLAB, SPSS.
- Visualization: Graphical representation of data using charts, graphs, and plots.
- Algorithms: Development and implementation of algorithms for data processing and analysis.
Quantitative maths provides the foundation for making informed decisions based on numerical data. Mastery of these concepts and techniques is crucial for anyone working in fields that rely on quantitative analysis.
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About the lesson
- Compulsory School
- Secondary School
- Higher Education
- +5
levels :
Compulsory School
Secondary School
Higher Education
Adult Education
Master
Doctorate
MBA
Pre-School
- English
All languages in which the lesson is available :
English
My lessons are engaging and fun. I start with the basics and gradually move towards complex topics. In my first class I try to understand the weaknesses and strengths of the student. Accordingly I prepare a personalised lesson plan for the student.
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Rates
Rate
- US$26
Pack prices
- 5h: US$130
- 10h: US$260
free lessons
The first free lesson with Scarlett will allow you to get to know each other and clearly specify your needs for your next lessons.
- 1hr
online
- US$26/h
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