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# Year 12 Maths Textbook

A lot of year 12 content overlaps between the various curriculum across Australia, the work in the textbook is most suited for 2 unit maths (NSW), Maths Methods (VIC), Maths B (QLD), Maths 2 (WA), Mathematical Methods (SA).

**CHAPTER 1: Series & Sequences**

Exercise 1: Arithmetic Sequences

Exercise 2: Geometric Progressions

Exercise 3: Arithmetic Series

Exercise 4: Geometric Series

Exercise 5: Series Notation: Convergence & Divergence

Exercise 6: Sum to Infinity

Exercise 7: Arithmetic & Geometric Mean

Exercise 8: Applications of Series

Exercise 9: Financial Applications

**CHAPTER 2: Chance**

Exercise 1: Probability

Exercise 2: Compound Probability

**CHAPTER 3: Geometric Applications of Differentiation**

Exercise 1: Critical Points of Functions

Exercise 2: Graphing Functions

Exercise 3: Word problems

Exercise 4: Tangents, Normals & primitive Functions

**CHAPTER 4: Integration**

Exercise 1: Approximations

Exercise 2: Calculations & Applications

**CHAPTER 5: Applications of Calculus**

Exercise 1: Rates of Change

Exercise 2: Exponential Growth & Decay

Exercise 3: Velocity & Acceleration

**CHAPTER 6: Exponential & Logarithmic Functions**

Exercise 1: Review of Index Laws

Exercise 2: Logarithms & Exponents

Exercise 3: Differentiation & Integration

**CHAPTER 7: Trigonometry**

Exercise 1: Radian Measurement

Exercise 2: Graphing Trigonometric Functions

Exercise 3: Differentiation & Integration