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2. ‘이해하기 쉬운 개념 다양한 example 문제 심화 응용 문제’ 삼중 그물망 구조로 개념과 실전연습을 한번에 잡아줍니다. 어려운 개념들을 쉽게 배우고 다양한 example 문제로 연습을 한 뒤, 배운 개념에 대한 심화 응용 문제(Expand Knowledge 문제)로 실전에 적용하는 연습까지 완벽한 개념정리를 완성시킬 수 있습니다. 학교 GPA 관리를 위해 공부하는 학생들은 필수내용들은 반드시 공부하고 심화응용문제(Expand Knowledge 문제)는 선택적으로 공부하면 됩니다.
3. 스스로 빈칸을 채워가며 개념을 꼼꼼하게 공부할 수 있게 설계하였습니다. 빈칸의 답은 페이지 하단에 배치하여 학생들이 필요 시 바로 참고할 수 있습니다.
4. 이해하기 쉽고 친근한 이미지를 활용하여 어려운 수식을 빠르게 이해할 수 있도록 작성하였습니다. 꼭 암기해야 할 개념, 공식은 shade 박스 안에 정리하였습니다.
2. ‘이해하기 쉬운 개념 다양한 example 문제 심화 응용 문제’ 삼중 그물망 구조로 개념과 실전연습을 한번에 잡아줍니다. 어려운 개념들을 쉽게 배우고 다양한 example 문제로 연습을 한 뒤, 배운 개념에 대한 심화 응용 문제(Expand Knowledge 문제)로 실전에 적용하는 연습까지 완벽한 개념정리를 완성시킬 수 있습니다. 학교 GPA 관리를 위해 공부하는 학생들은 필수내용들은 반드시 공부하고 심화응용문제(Expand Knowledge 문제)는 선택적으로 공부하면 됩니다.
3. 스스로 빈칸을 채워가며 개념을 꼼꼼하게 공부할 수 있게 설계하였습니다. 빈칸의 답은 페이지 하단에 배치하여 학생들이 필요 시 바로 참고할 수 있습니다.
4. 이해하기 쉽고 친근한 이미지를 활용하여 어려운 수식을 빠르게 이해할 수 있도록 작성하였습니다. 꼭 암기해야 할 개념, 공식은 shade 박스 안에 정리하였습니다.
저자: 소미혜 지음
1. Functions
1.1 Quadratic Functions..................................................12
1.2 Function ..................................................................26
1.3 Analyzing Functions..................................................37
1.4 Piecewise Functions...................................................45
1.5 Transforming Function...............................................53
1.6 Composing Function..................................................69
1.7 Inverse Function........................................................75
2. Polynomial and Rational Functions
2.1 Polynomial Functions.................................................90
2.2 Diving Polynomials....................................................102
2.3 Real Zeros of Poly......................................................111
2.4 Fundamental Theorem of Algebra..............................117
2.5 Rational Function......................................................128
2.6 Polynomial and Rational Inequalities..........................145
3. Exponential and Logarithmic Functions
3.1 Exponential Function.................................................158
3.2 Compound Interest....................................................167
3.3 Logarithmic Function.................................................173
3.4 Properties of Logarithm.............................................184
3.5 Exp and Log Equations and Inequalities......................193
3.6 Exponential Growth and Modeling..............................206
4. Trigonometry Definition and Graphs
4.1 Angles in Radian........................................................214
4.2 Trigonometry of Right Triangles.................................228
4.3 Trigonometry of Any Angles......................................236
4.4 Trigonometry in Unit Circle........................................244
4.5 Trigonometric Graphs for Sin, Cos..............................249
4.6 Trigonometric Graphs for Others................................262
5. Trigonometry Identities
5.1 Inverse Trigonometry Function...................................272
5.2 Basic Trigonometric Identities....................................283
5.3 Verifying Trigonometric Identities..............................291
5.4 Sum and difference Identities....................................297
5.5 Double-Angle Identity...............................................304
5.6 Half-Angle and Product-Sum Identities.....................314
6. Trig Equations and Geometry Triangles
6.1 Basic Trigonometric Equations...................................324
6.2 More Trigonometric Equations...................................330
6.3 The Law of Sines.......................................................336
6.4 The Law of Cosines....................................................344
6.5 Area of Triangles.......................................................350
7. Polar coordinate and Complex number
7.1 Polar Coordinates......................................................358
7.2 Graphs of Polar Equations.........................................366
7.3 Complex Numbers and De Moivre’s Theorem..............376
7.4 Parametric Equations................................................388
8. Vector
8.1 Vector Basics.............................................................396
8.2 Vectors in Two Dimensions.........................................404
8.3 The Dot Product........................................................413
8.4 Three-Dimensional Coordinate..................................425
8.5 Vectors in Three Dimensions......................................430
8.6 The Cross Product.....................................................438
9. Conic Section
9.1 Conic Sections and Parabolas....................................448
9.2 Ellipses......................................................................454
9.3 Hyperbolas................................................................461
9.4 Transformation of Conics...........................................467
9.5 Rotation of Conics.....................................................479
10. Matrix and System of Equation
10.1 Systems of Linear Equations in Several Variables......486
10.2 Algebra of Matrices.................................................495
10.3 Inverse and Matrix Equation.....................................502
10.4 Partial Fractions......................................................510
11. Sequence and Series
11.1 Sequence and Sigma Notation.................................518
11.2 Arithmetic Sequence and Series..............................526
11.3 Geometric Sequence and Series...............................533
11.4 Applications of Sequence and Series........................542
11.5 Binomial Expansion.................................................547
11.6 Mathematical Induction...........................................556
Answers
1.1 Quadratic Functions..................................................12
1.2 Function ..................................................................26
1.3 Analyzing Functions..................................................37
1.4 Piecewise Functions...................................................45
1.5 Transforming Function...............................................53
1.6 Composing Function..................................................69
1.7 Inverse Function........................................................75
2. Polynomial and Rational Functions
2.1 Polynomial Functions.................................................90
2.2 Diving Polynomials....................................................102
2.3 Real Zeros of Poly......................................................111
2.4 Fundamental Theorem of Algebra..............................117
2.5 Rational Function......................................................128
2.6 Polynomial and Rational Inequalities..........................145
3. Exponential and Logarithmic Functions
3.1 Exponential Function.................................................158
3.2 Compound Interest....................................................167
3.3 Logarithmic Function.................................................173
3.4 Properties of Logarithm.............................................184
3.5 Exp and Log Equations and Inequalities......................193
3.6 Exponential Growth and Modeling..............................206
4. Trigonometry Definition and Graphs
4.1 Angles in Radian........................................................214
4.2 Trigonometry of Right Triangles.................................228
4.3 Trigonometry of Any Angles......................................236
4.4 Trigonometry in Unit Circle........................................244
4.5 Trigonometric Graphs for Sin, Cos..............................249
4.6 Trigonometric Graphs for Others................................262
5. Trigonometry Identities
5.1 Inverse Trigonometry Function...................................272
5.2 Basic Trigonometric Identities....................................283
5.3 Verifying Trigonometric Identities..............................291
5.4 Sum and difference Identities....................................297
5.5 Double-Angle Identity...............................................304
5.6 Half-Angle and Product-Sum Identities.....................314
6. Trig Equations and Geometry Triangles
6.1 Basic Trigonometric Equations...................................324
6.2 More Trigonometric Equations...................................330
6.3 The Law of Sines.......................................................336
6.4 The Law of Cosines....................................................344
6.5 Area of Triangles.......................................................350
7. Polar coordinate and Complex number
7.1 Polar Coordinates......................................................358
7.2 Graphs of Polar Equations.........................................366
7.3 Complex Numbers and De Moivre’s Theorem..............376
7.4 Parametric Equations................................................388
8. Vector
8.1 Vector Basics.............................................................396
8.2 Vectors in Two Dimensions.........................................404
8.3 The Dot Product........................................................413
8.4 Three-Dimensional Coordinate..................................425
8.5 Vectors in Three Dimensions......................................430
8.6 The Cross Product.....................................................438
9. Conic Section
9.1 Conic Sections and Parabolas....................................448
9.2 Ellipses......................................................................454
9.3 Hyperbolas................................................................461
9.4 Transformation of Conics...........................................467
9.5 Rotation of Conics.....................................................479
10. Matrix and System of Equation
10.1 Systems of Linear Equations in Several Variables......486
10.2 Algebra of Matrices.................................................495
10.3 Inverse and Matrix Equation.....................................502
10.4 Partial Fractions......................................................510
11. Sequence and Series
11.1 Sequence and Sigma Notation.................................518
11.2 Arithmetic Sequence and Series..............................526
11.3 Geometric Sequence and Series...............................533
11.4 Applications of Sequence and Series........................542
11.5 Binomial Expansion.................................................547
11.6 Mathematical Induction...........................................556
Answers
