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4. college board에서 주최하는 AP Precalculus 시험에 나오는 모든 토픽을 커버하였고, 배워놓으면 유용하면서 난이도가 높고 깊이 있는 내용 및 문제들도 담아 *(star)표시로 표기하였습니다.
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6. 계산기 Ti 84, Ti nspire CAS (CX도 가능)를 처음 사용하는 학생들을 위한 필수 계산기 사용법을 정리하였습니다. 계산기가 필요한 실전문제들도 풀어보면서 계산기 사용법도 정복할 수 있습니다.

1. Functions
1.1 Functions...............................................................12
1.2 Rate of change.......................................................24
1.3 Analyzing Functions................................................33
1.4 Piecewise Functions................................................47
1.5 Transforming Function............................................54
1.6 Composing Functions..............................................70
1.7 Inverse Function.....................................................76
1.8 Limit.......................................................................90
2. Polynomial and Rational Functions
2.1 Polynomial Functions..............................................100
2.2 Diving Polynomials..................................................113
2.3 Real Zeros of Poly...................................................122
2.4 Fundamental Theorem of Algebra............................126
2.5 Rational Function....................................................134
2.6 Polynomial and Rational Inequalities........................151
2.7 Binomial Expansion.................................................162
Free Response Questions (from ch1-ch2)......................165
3. Exponential and Logarithmic Functions
3.1 Exponential Function..............................................168
3.2 Compound Interest..................................................182
3.3 Logarithmic Function..............................................189
3.4 Properties of Logarithm..........................................203
3.5 Exp and Log Equations and Inequalities...................212
3.6 Exponential Growth and Modeling............................226
3.7 Sequences..............................................................235
3.8 Regression..............................................................249
3.9 Semilog plots..........................................................256
Free Response Questions (from ch3).............................263

4. Trigonometry Definition and Graphs
4.1 Angles in Radian..................................................... 266
4.2 Trigonometry of Right Triangles............................... 276
4.3 Trigonometry of Any Angles.................................... 284
4.4 Trigonometry in Unit Circle...................................... 293
4.5 Trigonometric Graphs for Sin, Cos............................ 302
4.6 Modeling using Sin, Cos functions ........................... 315
4.7 Trigonometric Graphs for Others............................. 322
5. Trigonometry Identities
5.1 Inverse Trigonometry Function................................ 334
5.2 Basic Trigonometric Identities.................................. 347
5.3 Verifying Trigonometric Identities............................ 355
5.4 Sum and difference Identities.................................. 361
5.5 Double-Angle Identity............................................. 369
6. Trig Equations and Inequalities
6.1 Basic Trigonometric Equations................................. 380
6.2 More Trigonometric Equations................................. 388
6.3 Trigonometric Inequalities....................................... 396
7. Polar Curve
7.1 Polar Coordinates.................................................... 402
7.2 Graphs of Polar Equations....................................... 412
7.3 Complex Numbers .................................................. 428
Free Response Questions (from ch4-ch7)...................... 434

(※Ch8-Ch11 is NOT assessed on the AP Exam)
8. Parametric Equation
8.1 Parametric Equations.............................................. 440
8.2 Motions and Parametric Equations........................... 447
8.3 Lines and Circles in Parametric Form........................ 454
9. Conic Section
9.1 Conic Sections and Parabolas.................................. 460
9.2 Ellipses................................................................... 466
9.3 Hyperbolas............................................................. 473
9.4 Transformation of Conics........................................ 479
9.5 Conic Sections in Parametric Form........................... 488
10. Vector
10.1 Vectors in Two Dimensions.................................... 496
10.2 Finding Resultant Vector using Trig........................ 508
10.3 The Dot Product.................................................... 512
10.4 Motions in Vectors................................................. 517
11. Matrices
11.1 Algebra of Matrices............................................... 522
11.2 Determinant and Inverse Matrix............................. 529
11.3 Linear Transformation........................................... 533
11.4 Matrices modeling Context.................................... 541
Calculator Skills (for Ti 84, Ti nspire CAS) ..................... 546
Multiple Choice Practice Test......................................... 567
Answer Key................................................................... 581