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