Master advanced mathematical concepts and analytical thinking in the most rigorous IB Mathematics course
Course Level
IB Higher Level
Programme Duration
Full Academic Year
Format
Online 1-on-1
Prerequisites
Strong Algebra & Pre-Calc
Course Overview
Our IB Mathematics AA HL course is designed for students with a strong interest in mathematics and those planning to pursue mathematics, engineering, physical sciences, or economics at university. This comprehensive year-long course covers advanced mathematical topics with rigorous analytical approaches, emphasizing algebraic manipulation, proof techniques, and sophisticated problem-solving skills.
IB Mathematics AA HL is the most demanding mathematics course in the IB programme, equivalent to first-year university mathematics. It covers calculus, algebra, functions, trigonometry, statistics, and probability at an advanced level, developing both computational fluency and deep conceptual understanding essential for success in STEM fields.
Higher Level Advantages
Mathematics AA HL provides intensive mathematical training, advanced problem-solving techniques, and preparation for university-level mathematics. HL students develop the analytical skills highly valued by top universities in mathematics, engineering, and sciences.
Flexible Scheduling Options
Choose the pace that works best for your learning style and schedule:
Standard Track: 2.5 Hours/Week
Total: 100 hours over 40 weeks
Perfect for students who prefer steady, thorough coverage throughout the academic year
Intensive Track: 3.5 Hours/Week
Total: 112 hours over 32 weeks
Ideal for students seeking accelerated learning with extensive practice and deeper exploration
IB Assessment Information
External Assessment (80%): Paper 1 (Non-Calculator - 120 min) + Paper 2 (Calculator - 120 min) + Paper 3 (Extended Response - 60 min)
Internal Assessment (20%): Mathematical Exploration (12-20 pages) - Investigate a mathematical topic of personal interest
HL assessments require advanced algebraic manipulation, rigorous proof techniques, and sophisticated mathematical reasoning across all topics.
Mathematical Exploration (IA) Support
Comprehensive guidance for your Mathematical Exploration including advanced topic selection, rigorous mathematical investigation, proper use of mathematical notation, and professional presentation. We'll help you explore fascinating areas like number theory, advanced calculus, or mathematical modeling.
What Makes Our Course Special
📹
Recorded Sessions
Access to all live session recordings for review and reinforcement of complex concepts
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WhatsApp Support
24/7 support for challenging problems and mathematical clarifications
📊
Advanced IA Mentorship
Expert guidance for sophisticated mathematical explorations and research projects
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HL Mock Examinations
Rigorous IB HL-style assessments with detailed feedback and improvement strategies
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Advanced Problem Solving
Development of sophisticated analytical and proof-writing skills
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University Preparation
Rigorous preparation for advanced mathematics and STEM programs
What You'll Learn
Master advanced calculus including multivariable concepts and complex analysis
Develop sophisticated algebraic manipulation and equation-solving skills
Understand advanced functions, transformations, and their applications
Apply rigorous proof techniques and mathematical reasoning
Master advanced trigonometry, vectors, and coordinate geometry
Understand probability distributions and advanced statistical methods
Develop mathematical modeling skills for real-world applications
Master advanced exam techniques for all three IB HL assessment papers
Build strong foundation for university-level mathematics and STEM fields
Detailed Course Curriculum
Topic 1: Number and Algebra 39 hours
Advanced algebraic concepts, sequences, series, and mathematical induction.
Complex number operations and De Moivre's theorem
Advanced sequences and series including convergence tests
Mathematical induction and proof techniques
Binomial theorem and its applications
Partial fractions and advanced algebraic manipulation
Polynomial theory and factor/remainder theorems
Topic 2: Functions and Equations 24 hours
Advanced function analysis, transformations, and equation solving.
Domain, range, and advanced function composition
Function transformations and their graphical interpretations
Inverse functions and their properties
Rational functions and asymptotic behavior
Advanced equation solving techniques
Systems of equations and inequalities
Topic 3: Circular Functions and Trigonometry 16 hours
Advanced trigonometric concepts, identities, and applications.
Unit circle and radian measures
Advanced trigonometric identities and equations
Sum and product formulas
Inverse trigonometric functions
Complex trigonometric applications
Harmonic functions and modeling
Topic 4: Vectors 16 hours
Advanced vector operations, geometry, and applications.
Vector operations in 2D and 3D space
Scalar and vector products
Vector equations of lines and planes
Angle calculations and vector projections
Applications in geometry and physics
Vector spaces and linear independence
Topic 5: Statistics and Probability 16 hours
Advanced statistical methods and probability distributions.
Descriptive statistics and data analysis
Probability theory and conditional probability
Discrete and continuous probability distributions
Binomial, normal, and Poisson distributions
Hypothesis testing and confidence intervals
Correlation and regression analysis
Topic 6: Calculus HL Extension48 hours
Advanced differential and integral calculus with applications.
Limits, continuity, and advanced differentiation
Applications of derivatives: optimization, related rates
Advanced integration techniques and applications
Differential equations and their solutions
Maclaurin and Taylor series expansions
Multivariable calculus concepts
Area, volume, and advanced applications
Mathematical Exploration Preparation
Comprehensive support for your individual mathematical investigation.
Research question development and mathematical focus
Advanced mathematical investigation techniques
Proper use of mathematical notation and terminology
Critical reflection and evaluation of results
Professional mathematical communication and presentation
Course Investment
Standard Track
$1740+ GST
2.5 hours/week • 100 total hours over 40 weeks
Payment Options:Full payment or 3 installments of $580
Perfect for: Students seeking steady, consistent progress
Both tracks include: All sessions, recorded materials, advanced IA mentorship, HL mock exams, WhatsApp support, and comprehensive university preparation resources
Ready to Master IB Mathematics AA HL?
Join the select group of students who excel in the most challenging IB Mathematics course. Our comprehensive tutoring program is designed for ambitious students targeting top universities in mathematics, engineering, economics, and physical sciences. With our rigorous approach and expert guidance, you'll develop the advanced analytical skills and mathematical maturity needed for success in the most demanding academic environments.
IB Mathematics AA HL is more than just a course - it's preparation for a career in mathematics, engineering, or scientific research. Our program ensures you not only achieve outstanding IB results but also develop the sophisticated mathematical thinking that will distinguish you in university admissions and beyond.