Preface .............................................................................................. 3
저자 소개 .............................................................................................. 4
이 책의 특징 ......................................................................................... 5

TOPIC 1 Essence of Graphs
1.1 | Graphs in Cartesian Coordinates....................................................................................10
1.2 | Distance formula and Midpoint formula........................................................................11
1.3 | Symmetry........................................................................................................................12
1.4 | Application of Analytic Geometry:Circles and Quadratic Curves..................................16

TOPIC 2 Essence of Functions
2.1 | Function Basics................................................................................................................30
2.2 | Function Arithmetic.........................................................................................................32
2.3 | Domain and Range..........................................................................................................35
2.4 | Composition of Functions...............................................................................................80
2.5 | Inverse Function..............................................................................................................83

TOPIC 3 Revisiting Logs and Exponentials
3.1 | Exponential and Logarithmic Functions.........................................................................90
3.2 | Exponential and Logarithmic Property...........................................................................95

TOPIC 4 Trigonometric Ratio
4.1 | Basic Ratio.......................................................................................................................108
4.2 | Extension of Basic Ratio..................................................................................................110

TOPIC 5 Trigonometric Functions
5.1 | Graphs of Primary Trigonometric Functions..................................................................122
5.2 | Transformation of Sinusoidal Functions.........................................................................130
5.3 | Graphs of Reciprocal Trigonometric Functions..............................................................132
5.4 | Maximum and minimum of Trigonometric Functions....................................................137
5.5 | Solving Trigonometric Equations....................................................................................139
5.6 | Inverse Trigonometric Functions....................................................................................146

TOPIC 6 Trigonometric Identities
6.1 | Sum and Difference Formula..........................................................................................156
6.2 | Double-Angle and Half-Angle Formula..........................................................................159
6.3 | Product-to-Sum Formula and Vice Versa........................................................................161

TOPIC 7 Application of Trigonometry
7.1 | Law of Sines and Law of Cosines....................................................................................174
7.2 | Vectors in the Plane.........................................................................................................181
7.3 | Dot Product or Scalar Product........................................................................................183
7.4 | Vector Algebra.................................................................................................................186
7.5 | Complex Numbers...........................................................................................................190
7.6 | Fundamental Theorem of Algebra..................................................................................193
7.7 | Complex Numbers in Polar Form...................................................................................195
7.8 | Multiplication and Division of Complex Numbers in Polar Form.................................197
7.9 | De Moivre's Theorem......................................................................................................198

TOPIC 8 Polar Coordinates and Graphs
8.1 | Polar Coordinates............................................................................................................210
8.2 | Rectangular Coordinates and Polar Coordinates............................................................212
8.3 | Transforming Equations..................................................................................................215
8.4 | Polar Equation of a Line..................................................................................................216
8.5 | Polar Equation of a Circle...............................................................................................219
8.6 | Polar Expressions for Other Conic Sections...................................................................221
8.7 | Cardioid, Limacon, Rose and Lemniscate.......................................................................225

TOPIC 9 Matrices
9.1 | Multiplication Methods for 3×3 Matrices........................................................................240
9.2 | Inverse Matrices for 3×3 Matrices...................................................................................243
9.3 | Elementary Matrices........................................................................................................247
9.4 | Snapshot of Eigenvalue...................................................................................................253
Solution Manual