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Pre-Calculus Grade 11-12 United States

Pre-Calculus: Online Tutoring

Functions, trigonometry, vectors, polar coordinates and limits: full preparation for college calculus.

What you will learn

Pre-Calculus topics

  1. 01
    Functions and transformations
    • Domain and range
    • Composition
    • Inverse functions
    • Piecewise functions
    • Transformations of graphs
    • Even and odd functions
  2. 02
    Polynomial and rational functions
    • Zeros and multiplicity
    • The fundamental theorem of algebra
    • Partial fractions
    • Asymptotes
    • Inequalities
  3. 03
    Exponential and logarithmic functions
    • Properties
    • Equations
    • Modelling growth and decay
    • Change of base
  4. 04
    Trigonometric functions
    • Unit circle
    • Graphs
    • Inverse trigonometric functions
    • Modelling with sinusoids
  5. 05
    Trigonometric identities and equations
    • Pythagorean
    • Sum and difference
    • Double-angle and half-angle identities
    • Solving trigonometric equations
  6. 06
    Applications of trigonometry
    • Law of sines
    • Law of cosines
    • Vectors in the plane
    • Dot product
  7. 07
    Polar and parametric equations
    • Polar coordinates and graphs
    • Complex numbers in polar form
    • De Moivreโ€™s theorem
    • Parametric curves
  8. 08
    Matrices and systems
    • Matrix operations
    • Inverses
    • Determinants
    • Solving systems with matrices
  9. 09
    Sequences, series and limits
    • Arithmetic and geometric series
    • Sigma notation
    • Binomial theorem
    • An introduction to limits

Best for: Grade 11-12 students heading into AP Calculus or a college STEM programme.

How we teach

Why students choose us

Taught by Janvi Mam

Ph.D.-qualified educator with 16+ years of teaching experience.

One-to-one classes

Every class is just you and Janvi Mam, so the pace and topics follow your needs.

Live, not recorded

Interactive classes on Zoom or Google Meet, with doubt-solving built in.

Tests and feedback

Regular practice tests with feedback on every paper.

Questions

Pre-Calculus FAQ

What is Pre-Calculus?

Pre-Calculus is a Grade 11 or 12 course that prepares students for calculus. It covers functions and their transformations, trigonometry and identities, vectors, polar and parametric equations, matrices and an introduction to limits.

What do I need before taking Pre-Calculus?

Algebra 2 is the usual prerequisite, including exponential, logarithmic and basic trigonometric functions.

Are the online Pre-Calculus 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 Pre-Calculus 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 Eastern, Central, Mountain and Pacific time, 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.

No cost, no obligation
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Try Pre-Calculus with Janvi Mam before you commit

Meet the teacher, see how the class runs, then decide.

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