Chapter 1 - The Nature of Proof Worksheet

1.1 - The Language of Proof

1.2 - Simple Proofs

1.3 - Contrapositive Proofs

1.4 - Proof by Contradiction

1.5 - Inequality Proofs

1.6 - Mathematical Induction

1.7 - Harder Mathematical Induction

1.8 - Inequality Induction

Chapter 1 - The Nature of Proof Worksheet ANNOTATED

Chapter 1 Quiz

Chapter 2 - Complex Numbers Worksheet

2.1 - Introduction to Complex Numbers

2.2 - Arithmetic With Complex Numbers

2.3 - Roots of Polynomials With Real Coefficients

2.4 - Roots of Polynomials With Complex Coefficients

2.5 - The Argand Diagram

2.6 - Polar Form

2.7 - Curves and Regions

2.8 - Harder Curves and Regions

2.9 - Exponential Form and De Moivre_s Theorum

2.10 - Further Roots

Chapter 2 - Complex Numbers Worksheet ANNOTATED

2.11 - Applications of De Moivre_s Theorum

Chapter 2 Quiz

Chapter 3 - Integration Worksheet

3.1 - Algebraic Manipulation

3.2 - Further Algebraic Manipulation

3.3 - Substitution

3.4 - Further Substitution

3.5 - Partial Fractions

3.6 - Denominators With Quadratics

3.7 - Integration By Parts

3.8 - Further Integration By Parts

3.9 - Trigonometric Integrals

3.10 - Further Trigonometric Integrals

3.11 - Reduction Formulae

3.12 - Further Reduction Formulae

Chapter 3 - Integration Worksheet ANNOTATED

Chapter 3 Quiz

Chapter 4 - Vectors Worksheet

4.1 - The Three Dimensional Plane

4.2 - The Dot Product

4.3 - Further Dot Products

4.4 - Geometric Proofs

4.5 - The Vector Equation Of A Line

4.6 - Vector Equations Of Circles And Spheres

4.7 - Further Vector Geometry

Chapter 4 Vectors Worksheet ANNOTATED

Chapter 4 Quiz

Chapter 5 - Mechanics Worksheet

5.1 - Forces And Acceleration

5.2 - Simple Harmonic Motion

5.3 - Further Simple Harmonic Motion

5.4 - Differential Equations For Simple Harmonic Motion

5.5 - Horizontal Resisted Motion

5.6 - Further Horizontal Resisted Motion

5.7 - Vertical Resisted Motion

5.8 - Further Vertical Resisted Motion

5.9 - Projectile Motion

Chapter 5 - Mechanics Worksheet ANNOTATED

Chapter 5 Quiz