📘 IB Mathematics: Applications & Interpretation HL
This course is ideal for students who want to explore mathematics through its real-world relevance and advanced applications. It’s designed for those with strong analytical thinking skills who are interested in fields like engineering, data science, economics, and technology.
📚 Course Overview
- Focus on mathematical modelling and real-life problem solving
- Advanced use of statistics, technology, and data analysis
- Exploration of big data, networks, and population modeling
- Includes a rich, student-led Internal Assessment (IA)
🔍 Key Topics
- Number and algebra
- Functions
- Geometry and trigonometry
- Probability and statistics
- Calculus
📗 Recommended Resource
Use the Alphy Mathematics: Applications and Interpretation HL Student Workbook to challenge yourself with advanced problems, IB-style questions, and guided exploration tasks that support exam readiness and IA development.
Course Features
- Lectures 80
- Quiz 0
- Duration Lifetime access
- Skill level Expert
- Language English
- Students 9056
- Certificate No
- Assessments Yes
Curriculum
- 6 Sections
- 80 Lessons
- Lifetime
Expand all sectionsCollapse all sections
- Alphy School1 Item
- 1. Number and Algebra17 Items
- 2.1Scientific notation AI HL
- 2.2Arithmetic sequences and series AI HL
- 2.3Geometric sequences and series AI HL
- 2.4Financial applications AI HL
- 2.5Exponents and logarithms AI HL
- 2.6Approximation AI HL
- 2.7Amortization and annuity AI HL
- 2.8Equations and equation systems AI HL
- 2.9Laws of logarithms AI HL
- 2.10Rational exponents AI HL
- 2.11Sum of infinite geometric sequences AI HL
- 2.12Introduction to complex numbers AI HL
- 2.13Further complex numbers 1 AI HL
- 2.14Further complex numbers 2 AI HL
- 2.15Matrices AI HL
- 2.16Eigenvalues and eigenvectors 1 AI HL
- 2.17Eigenvalues and eigenvectors 2 AI HL
- 2. Functions9 Items
- 3.1Straight lines AI HL
- 3.2Functions AI HL
- 3.3Graphs and Key features of functions AI HL
- 3.4Introduction to modelling AI HL
- 3.5Modelling skills AI HL
- 3.6Composite functions and inverse functions AI HL
- 3.7Transformation of graphs AI HL
- 3.8Further modelling AI HL
- 3.9Scaling using logarithms and linearising data AI HL
- 3.Geometry and Trigonometry16 Items
- 4.1Three-dimensional space AI HL
- 4.2Triangle trigonometry AI HL
- 4.3Applications of trigonometry AI HL
- 4.4Circle AI HL
- 4.5Perpendicular bisector AI HL
- 4.6Voronoi diagrams AI HL
- 4.7The circle revisited AI HL
- 4.8Trigonometric ratios beyond acute angles AI HL
- 4.9Planar transformations AI HL
- 4.10Vectors AI HL
- 4.11Vector equation of a line AI HL
- 4.12Vector kinematics AI HL
- 4.13Products of vectors AI HL
- 4.14Introduction to graph theory AI HL
- 4.15Further matrices AI HL
- 4.16Graph algorithms AI HL
- 4. Probability and Statistics19 Items
- 5.1Collection of data and sampling AI HL
- 5.2Presentation of data AI HL
- 5.3Measures of central tendency and dispersion AI HL
- 5.4Linear correlation of bivariate data AI HL
- 5.5Probability and expected outcomes AI HL
- 5.6Probability calculations AI HL
- 5.7Discrete random variables AI HL
- 5.8The binomial distribution AI HL
- 5.9The normal distribution and curve AI HL
- 5.10Further linear regression AI HL
- 5.11Hypothesis testing AI HL
- 5.12Collecting and analysing data AI HL
- 5.13Non-linear regression AI HL
- 5.14Variance AI HL
- 5.15The central limit theorem AI HL
- 5.16Confidence intervals AI HL
- 5.17The Poisson distribution AI HL
- 5.18Population tests AI HL
- 5.19Markov chains AI HL
- 5. Calculus18 Items
- 6.1Introduction to differentiation AI HL
- 6.2Increasing and decreasing functions AI HL
- 6.3Derivatives of power functions AI HL
- 6.4Tangents and normals AI HL
- 6.5Introduction to integration AI HL
- 6.6Stationary points AI HL
- 6.7Optimisation AI HL
- 6.8Area of a region AI HL
- 6.9Further differentiation AI HL
- 6.10Second derivative AI HL
- 6.11Further integration AI HL
- 6.12Area and volume AI HL
- 6.13Kinematics AI HL
- 6.14Differential equations AI HL
- 6.15Graphical approximations to differential equations AI HL
- 6.16Numerical solutions to differential equations AI HL
- 6.17Qualitative and analytical techniques for coupled systems AI HL
- 6.18Euler’s method for Second order differential equations AI HL
