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Comprehensive AP Calculus AB/ Math class for high school students
I specialize in tutoting calculus to international school students as well as national schools in Switzerland and Italy.
My teaching method is a combination of theory and practice. The students can bring their own exercises to solve or to better understand. I provide students with extra exercises that can be done in class or as homework.
The subject of the classes is the entire AP calculus program:
1) Limits and continuity:
- Graphing and interpreting graphs (pre-calculus).
- Limits and continuity. Finding limits algebraically or estimating them from numerical or graphical data. Continuity in terms of limits.
- Intermediate Value Theorem and Extreme Value Theorem.
- Vertical, horizontal, and oblique asymptotes. Limits involving infinity.
2) Derivates and rates of change:
- Limit definition of the derivative and its relationship to continuity.
- Derivative rules including the Power Rule, Product Rule, Quotient Rule, and Chain Rule.
- Slope and tangent lines.
- Linear approximation and differentials.
- Instantaneous and average rates of change. Relationship among position, velocity, and acceleration functions.
- Higher order derivatives.
- Implicit Differentiation.
- Analysis of Graphs based on both pre-calculus methods and derivative information. This includes finding intervals of increase/decrease, relative minima/maxima, intervals of concavity, and inflection points.
- Mean value theorem and Rolle’s Theorem.
- Applications of derivatives, including optimization and related rates.
- Elementary differential equations and slope fields.
3) Integrals and Areas:
- Antidifferentiation and indefinite integrals.
- Techniques of antidifferentiation, including power rule, algebraic manipulation, and substitution.
- Finite Riemann sums and their limits. Relationship to definite integrals.
- The Fundamental Theorem of Calculus and definite integrals.
- Trapezoid Rule and other methods for estimating area.
- Exact area below a curve or between two curves, using definite integrals.
- Volumes of solids of revolution, by washer method and shell method.
- Accumulation functions.
- Relationships between position, velocity, and acceleration using integrals.
- Average value of a function over an interval.
- Models for exponential growth and decay.
My teaching method is a combination of theory and practice. The students can bring their own exercises to solve or to better understand. I provide students with extra exercises that can be done in class or as homework.
The subject of the classes is the entire AP calculus program:
1) Limits and continuity:
- Graphing and interpreting graphs (pre-calculus).
- Limits and continuity. Finding limits algebraically or estimating them from numerical or graphical data. Continuity in terms of limits.
- Intermediate Value Theorem and Extreme Value Theorem.
- Vertical, horizontal, and oblique asymptotes. Limits involving infinity.
2) Derivates and rates of change:
- Limit definition of the derivative and its relationship to continuity.
- Derivative rules including the Power Rule, Product Rule, Quotient Rule, and Chain Rule.
- Slope and tangent lines.
- Linear approximation and differentials.
- Instantaneous and average rates of change. Relationship among position, velocity, and acceleration functions.
- Higher order derivatives.
- Implicit Differentiation.
- Analysis of Graphs based on both pre-calculus methods and derivative information. This includes finding intervals of increase/decrease, relative minima/maxima, intervals of concavity, and inflection points.
- Mean value theorem and Rolle’s Theorem.
- Applications of derivatives, including optimization and related rates.
- Elementary differential equations and slope fields.
3) Integrals and Areas:
- Antidifferentiation and indefinite integrals.
- Techniques of antidifferentiation, including power rule, algebraic manipulation, and substitution.
- Finite Riemann sums and their limits. Relationship to definite integrals.
- The Fundamental Theorem of Calculus and definite integrals.
- Trapezoid Rule and other methods for estimating area.
- Exact area below a curve or between two curves, using definite integrals.
- Volumes of solids of revolution, by washer method and shell method.
- Accumulation functions.
- Relationships between position, velocity, and acceleration using integrals.
- Average value of a function over an interval.
- Models for exponential growth and decay.
Location
At student's location: Around Zürich (Kreis 3), Switzerland
At teacher's location: Adliswil, Switzerland
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General info
Skills:
Age: | Teenagers (13-17 years old) Adults (18-64 years old) Seniors (65+ years old) |
---|---|
Student level: | Beginner Intermediate Advanced |
Duration: | 60 minutes |
The class is taught in: | English, Italian |
My teaching method is a combination of theory and practice. The students can bring their own exercises to solve or to better understand. I provide students with extra exercises that can be done in class or as homework.
Topics can be:
- Introduction to the main topics of macroeconomics.
- Introduction to national accounting. Price index ad inflation.
- The goods market
- The financial market
- The IS-LM model
- The labor market
- The Phillips curve
- From short to long run: the AD-AS model and IS-LM-PC
- Introducing expectations into the IS-LM model
- Expectations, production, and economic policy
- Expectations and financial markets
- The open IS-LM model
- The goods and financial markets in an open economy
- Production, interest rate, and exchange rate
- Exchange rate regimes
- Economic policy in open economies
- Long-run growth. The Solow model.
My teaching method is a combination of theory and practice. The students can bring their own exercises to solve or to better understand. I provide students with extra exercises that can be done in class or as homework.
During the classes, all program of the exam can be covered:
• Competition and Market Structures
• Consumers
• Demand
• Elasticity of Demand
• Entrepreneurs
• Government Failures/Public-Choice Analysis
• Income Distribution
• Market Failures
• Markets and Prices
• Price Ceilings and Floors
• Producers
• Profit
• Roles of Government
• Supply
I have a master degree in quantitative models of economics and four years experiences as a private teacher of math-statististik and micro and macro economics and econometrics.
I can deliver the lessons in english, italian and soon also in german
My teaching method is a combination of theory and practice. The students can bring their own exercises to solve or to better understand. I provide students with extra exercises that can be done in class or as homework.
Subjects can be:
- Statistical Methods
- Measures of location (or central tendency) and dispersion
- Probability Theory
- Random Variables
- Expectation of random variable and its properties
- Standard discrete probability distributions
- Standard continuous probability distribution
- Bivariate and multivariate Distributions
- Bivariate Transformations
- Correlation and regression
- Limit Laws
- Order Statistics
- Sampling Distribution
- Tests of significance
My teaching method is a combination of theory and practice. The students can bring their own exercises to solve or to better understand. I provide students with extra exercises that can be done in class or as homework.
Introduction to Microeconomics
1. Analyzing Economic Problems
2. Demand and Supply Analysis
Consumer Theory
3. Consumer Preferences and Utility Functions
4. Consumer Choice
5. The Theory of Demand
6. Applications of Consumer Theory
Theory of the Firm
7. Inputs and Production Functions
8. Costs and Cost Minimization
Competitive Markets
11. Price-taking firm and supply curve
12. Market demand and market supply of a competitive market
13. Equilibrium of a competitive market and efficiency
Market Interventions
14. Taxes and subsidies
15. Import tariffs and quotas
Monopoly and Pricing Policies
16. Monopoly
17. Pricing Policies
Game Theory
18. Simultaneous and sequential games and the concept of Nash equilibrium
Oligopoly
19. Oligopoly a la Bertrand, Cournot and Stackelberg; Collusion
My teaching method is a combination of theory and practice. The students can bring their own exercises to solve or to better understand. I provide students with extra exercises that can be done in class or as homework.
Topics can be:
- Economic data and steps in empirical economic analysis
- Recall of statistics and mathematical tools needed in econometrics
- Linear regression models in cross-sectional settings: Multiple regression analysis, Ordinary Least Square estimator (OLS), and properties.
- Interpretation and comparison of regression models
- Specification test and data problems
- Heteroskedasticity, autocorrelation and Generalized Least Squares estimator (GLS)
- Univariate time series analysis. ARMA process. Stationarity and unit root tests
- Panel Data and Mixed Models
Ask a question
Send a message explaining your needs and Lisjana will reply soon:
The more detail, the better.
Ex. "Hi, when are you available to meet for a lesson?"
Ex. "Hi, when are you available to meet for a lesson?"
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from 37.39€At teacher's location
from 45.09€At student's home
100% Satisfaction Guarantee
Good-fit Instructor Guarantee
If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.
Online reputation
- Instructor since September 2019
- 1 repeat student
- Phone number verified
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from 37.39€At teacher's location
from 45.09€At student's home
Good-fit Instructor Guarantee
If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.
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