facebook
favorite button
super instructor icon
Betrouwbare leraar
Deze leraar antwoordt snel. Dit getuigt van een goede dienstverlening naar haar of zijn leerlingen toe.
member since icon
Sinds september 2019
Leraar sinds september 2019
Comprehensive AP Calculus AB/Math class for high school students
course price icon
Van 37.6 € /h
arrow icon
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.
Locatie
green drop pin icongreen drop pin icon
|
Gebruik Ctrl + muiswiel om in te zoomen
zoom in iconzoom out icon
location type icon
Plaats gekozen door de student :
  • In de omgeving van Zürich (Kreis 3), Zwitserland
location type icon
Bij de leraar :
  • Adliswil, Switzerland
Leeftijd
Tieners (13-17 jaar oud)
Volwassenen (18-64 jaar oud)
Senioren (65+ jaar oud)
Niveau van de leerling
Beginner
Gemiddeld
Gevorderden
Duur
60 minuten
De les wordt gegeven in
Engels
Italiaans
Vaardigheden
Beoordelingen
Beschikbaarheid typische week
(GMT -05:00)
New York
at teacher icon
Bij de leraar thuis
at home icon
Bij de student thuis
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
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.
Lees meer
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
Lees meer
Toon meer
arrow icon
Vergelijkbare lessen
arrow icon previousarrow icon next
verified badge
Being a teacher will help me to make an impact on students' lives. Having taken advanced courses during my High school pertaining to Mathematics and Physics, I was tailor-made for Engineering since it involves critical thinking as well. Imparting the knowledge I have learned is my way of giving back.
message icon
Contacteer Lisjana
repeat students icon
1e les wordt ondersteund
door onze
Good-fit Leraar Garantie
Vergelijkbare lessen
arrow icon previousarrow icon next
verified badge
Being a teacher will help me to make an impact on students' lives. Having taken advanced courses during my High school pertaining to Mathematics and Physics, I was tailor-made for Engineering since it involves critical thinking as well. Imparting the knowledge I have learned is my way of giving back.
Good-fit Leraar Garantie
favorite button
message icon
Contacteer Lisjana