Analysis and Approaches HL: Online Tutoring

1. 01
   Number and algebra

   • Everything in AA SL
   • Plus counting principles
   • The binomial theorem for rational powers
   • Partial fractions
   • Complex numbers (Cartesian
   • Polar and exponential form
   • De Moivre’s theorem)
   • Proof by induction and contradiction
   • Systems of equations
2. 02
   Functions

   • Everything in AA SL
   • Plus polynomial functions and theorems
   • Rational functions
   • Odd and even functions
   • Modulus functions
   • Inequalities
3. 03
   Geometry and trigonometry

   • Everything in AA SL
   • Plus reciprocal and inverse trigonometric functions
   • Compound-angle and double-angle identities
   • Vectors in two and three dimensions
   • Lines and planes
   • Scalar and vector products
4. 04
   Statistics and probability

   • Everything in AA SL
   • Plus Bayes’ theorem
   • Continuous random variables and probability density functions
5. 05
   Calculus

   • Everything in AA SL
   • Plus limits and L’Hôpital’s rule
   • Implicit differentiation and related rates
   • Maclaurin series
   • Integration by substitution and by parts
   • Volumes of revolution
   • Differential equations (separable and Euler’s method)
6. 06
   Internal assessment

   • The mathematical exploration
   • And using technology such as a graphing calculator

Best for: DP students aiming for top-tier maths, engineering or physical science degrees.

What is AA HL?

AA HL covers the whole Analysis and Approaches syllabus plus extra topics such as proof, complex numbers, vectors in three dimensions, and advanced calculus. It is a demanding course for students aiming at maths, engineering or physics.

What do I need before taking AA HL?

Students should be strong in algebra and trigonometry. Many take MYP Extended first.

Are the online AA HL classes one-to-one, or do I have to join a group?

Classes are live and one-to-one with Janvi Mam, Ph.D., on Zoom or Google Meet, so you never have to join a group or share the class with other students. If you prefer to study with a friend, small-group sessions of 2-3 students in the same course are available at a reduced per-student rate.

What are the benefits of one-to-one AA HL tutoring?

The lesson follows your own pace and gaps instead of a class average. Every minute goes to your questions, so you can ask anything without worrying about others. Weak topics are spotted and fixed quickly, and the plan can be matched to your school tests and exams.

Can classes fit my time zone?

Yes. Timings are arranged for students in Gulf, Singapore, UK, Canada, US and Australia time zones, so you can ask for a slot that works after school or at the weekend.

Can I try a class before I commit?

Yes. You can book a free demo class, meet the teacher and see how the class runs before deciding.