Introduction 1
Part I: Getting Started 5
Chapter 1: Moving towards Mathematical Mastery 7
Chapter 2: Setting Yourself Up for Study Success 19
Chapter 3: All the Algebra You Missed 31
Chapter 4: Shaping Up to Graphs and Shapes 53
Part II: Arithmetic and Algebra 71
Chapter 5: With Great Power Comes 73
Chapter 6: Playing with Polynomials 93
Chapter 7: Factors, Remainders and Fractions 111
Chapter 8: Getting Serious about Series 127
Chapter 9: Fiddling About with Functions 153
Part III: Geometry 177
Chapter 10: Coordinating Your Geometry 179
Chapter 11: Making Sense of Circles and Triangles 205
Chapter 12: Taking Trigonometry Further 221
Chapter 13: Making Vectors as Simple as i, j, k 245
Part IV: Calculus 269
Chapter 14: Climbing Slippery Slopes 271
Chapter 15: Touching on Tangents and Turning Points 281
Chapter 16: Integrating in Style 297
Chapter 17: When to Reach for the Rules 315
Chapter 18: Overcoming Evil Questions 339
Part V: The Part of Tens 363
Chapter 19: Ten Classic Mistakes to Avoid 365
Chapter 20: Ten Places to Start When You Don't Know Where to Start 371
Index 377
