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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.

Location

At student's location: Around Zürich (Kreis 3), Switzerland
At teacher's location: Adliswil, Switzerland

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General info

suitcase iconSkills:
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

Reviews (2)

We are very happy with the help Lisjana is giving the girls, thank you
Very skilled and professional
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

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from £32.71At teacher's location
from £39.45At 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.

Online reputation

  • Instructor since September 2019
  • 1 repeat student
  • Phone number verified

Availability of a typical week

(GMT -05:00) Chicago
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from £32.71At teacher's location
from £39.45At 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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