Mathematics Analysis and Approaches HL 2 1st Edition by Michael Haese – Ebook PDF Instant Download/Delivery: 1925489590 ,9781925489590
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ISBN 10: 1925489590
ISBN 13: 9781925489590
Author: Michael Haese
A comprehensive textbook designed specifically for students studying Mathematics at the Higher Level (HL) in the International Baccalaureate (IB) Diploma Program. The book provides a thorough exploration of mathematical concepts with a focus on both theoretical understanding and practical application. It covers a wide range of topics, including algebra, functions, calculus, probability, statistics, and vectors, while incorporating real-world examples and problem-solving techniques. The textbook emphasizes critical thinking and the development of mathematical reasoning, preparing students for both exams and further studies in mathematics and related fields. Designed to cater to the rigorous demands of the IB curriculum, it also includes plenty of exercises, practice problems, and explanations to ensure students’ mastery of the material.
Mathematics Analysis and Approaches HL 2 1st Edition Table of contents:
Chapter 1: Number and Algebra
- 1.1 Sequences and Series
- 1.2 Exponents and Logarithms
- 1.3 Rational Functions
- 1.4 Complex Numbers
- 1.5 Arithmetic and Geometric Sequences and Series
- 1.6 Binomial Expansion
Chapter 2: Functions
- 2.1 Functions and Their Graphs
- 2.2 Transformations of Functions
- 2.3 Inverse Functions
- 2.4 Exponential and Logarithmic Functions
- 2.5 Polynomial Functions
- 2.6 Rational Functions
Chapter 3: Trigonometry
- 3.1 Trigonometric Functions
- 3.2 Graphs of Trigonometric Functions
- 3.3 Trigonometric Identities
- 3.4 Trigonometric Equations
- 3.5 Applications of Trigonometry
Chapter 4: Calculus
- 4.1 Limits
- 4.2 Derivatives
- 4.3 Applications of Derivatives
- 4.4 Integrals
- 4.5 Applications of Integrals
- 4.6 Differential Equations
Chapter 5: Vectors
- 5.1 Vectors in Two Dimensions
- 5.2 Vectors in Three Dimensions
- 5.3 Scalar and Vector Products
- 5.4 Applications of Vectors
Chapter 6: Statistics and Probability
- 6.1 Probability and Distributions
- 6.2 Statistical Analysis
- 6.3 Binomial Distribution
- 6.4 Normal Distribution
- 6.5 Sampling and Hypothesis Testing
Chapter 7: Discrete Mathematics
- 7.1 Set Theory and Logic
- 7.2 Mathematical Induction
- 7.3 Graph Theory
- 7.4 Algorithms and Combinatorics
Chapter 8: Further Topics in Mathematics
- 8.1 Matrices and Determinants
- 8.2 Differential Equations and Series Solutions
- 8.3 Fourier Series (optional)
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