01
Chap0 Orientation
02
Chap1 Algebraic Properties
Lecture1-1 Algebraic_Properties Lecture1-2 Identities and Inverses 03
Chap2 Sets
Lecture2-3 Cardinality of Sets Lecture2-4 Inclusion and Exclusion Lecture2-5 Unary Set Operations Lecture2-6 Intersections and Unions1 Lecture2-7 Intersections and Unions2 Lecture2-8 Set Differences1 Lecture2-9 Set Differences2 Lecture2-10 Cartesian Products 04
Chap3 Mathematical Logic
Lecture3-2 Logical Operations1 Lecture3-3 Logical Operations2 Lecture3-4 Logical Implications1 Lecture3-5 Logical Implications2 Lecture3-6 Logical Computations1 Lecture3-7 Logical Computations2 05
Chap4 Polynomial Expressions / Equations
Lecture4-1 Linear Equations Lecture4-2 Linear Inequalities Lecture4-4 Calculations of Powers Lecture4-5 Quadratic Expressions Lecture4-6 Multiplication Rules of Quadratic Expressions Lecture4-7 Factorizations of Quadratic Expressions Lecture4-8 Two Representations of Quadratic Expressions Lecture4-9 Cubic Expressions Lecture4-11 Multiplications, Divisions of Polynomials Lecture4-12 Solutions of Quadratic Equations Lecture4-13 Solutions of Cubic Equations Lecture4-14 Solutions of Polynomial Equations 06
Chap5 Functions and Graphs
Lecture5-2 Operations on Intervals Lecture5-3 The Coordinate Plane Lecture5-5 Composite, Inverse Functions Lecture5-6 Univariate Functions Lecture5-7 Linear Functions(Slope a) Lecture5-8 Linear Functions(y-intercept b) Lecture5-9 Fixed Parameters and Linear Functions Lecture5-10 Parallel, Perpendicular Lines Lecture5-11 Quadratic Functions Lecture5-12 Vertex Form and Graphs Lecture5-13 Vertices and Discriminants Lecture5-14 Cubic Functions Lecture5-15 Polynomial Functions Lecture5-16 Reflection of Functions Lecture5-17 Translations of Functions Lecture5-18 Dilations of Functions Lecture5-19 Concatenations of Transformations Lecture5-20 Piecewise-defined Functions Lecture5-21 Symmetric Functions Lecture5-22 Properties of Symmetric Functions Lecture5-23 Decomposing Functions into Even, Odd Functions Lecture5-24 Functions and Inequalities 07
Chap6 Rational and Irrational Functions
Lecture6-1 Rational Expressions Lecture6-2 Special Cases of Rational Expressions Lecture6-3 Rational Functions Lecture6-4 More General Rational Functions Lecture6-5 Rational Expressions and Inequalities Lecture6-6 Irrational Expressions Lecture6-7 Properties of Roots Lecture6-8 Irrational Functions 08
Chap7 Exponential and Logarithmic Functions
Lecture7-1 Exponentiations Lecture7-2 Exponentiations(2) Lecture7-4 Properties of Logarithm Lecture7-5 Properties of Logarithm(2) Lecture7-6 Properties of Logarithm(3) Lecture7-7 Exponential Functions Lecture7-8 Logarithmic Functions Lecture7-9 Exponential, Logarithmic Equations Lecture7-10 Increasing, Decreasing Functions Lecture7-11 Exponential, Logarithmic Inequalities 09
Chap8 Trigonometric Functions
Lecture8-1 Degrees and Radians Lecture8-2 Deg2Rad and Rad2Degree Lecture8-3 Trigonometric Ratios Lecture8-4 Trigonometric Ratios on the Coord. Plane Lecture8-5 Trigonometric Functions Lecture8-6 Trigonometric Functions(2) Lecture8-7 Transforms of Trigonometric Functions Lecture8-8 Inverse Trigonometric Functions Lecture8-9 Reciprocal Trigonometric Functions Lecture8-10 Trigonometric Formulas(1) Lecture8-11 Trigonometric Formulas(2) 10
Chap9 Conic Sections
Lecture9-1 Conic Sections Lecture9-3 Mathematical Definition of Parabola Lecture9-4 More General Parabolas Lecture9-5 Parabola Exercises Lecture9-6 Mathematical Definition of Ellipse Lecture9-7 Equations of Ellipses 11
Chap10 Multivariate Functions and Linearity
Lecture10-1 Bivariate Functions Lecture10-2 Lines, Planes in the Coord. Space Lecture10-3 Multivariate Functions Lecture10-5 Linear Systems 12
Chap11 Systems of Equations
Lecture11-1 Systems of Equations Lecture11-2 Systems of Linear Equations(1) Lecture11-3 Systems of Inequalities 13
Chap12 Composite Funcntions
Lecture12-1 Composite Functions Lecture12-2 Decomposing Composite Functions Lecture12-3 Domains, Codomains of Composite Functions 14
Chap13 Sequences
Lecture13-3 Arithmetic Sequences Lecture13-4 Arithmetic Series Lecture13-5 Geometric Sequences Lecture13-6 Series of Sequences Lecture13-7 Product of Sequences 15
Chap14 Binary and Complex Numbers
Lecture14-1 Binary Numbers Lecture14-2 Binary Conversion Lecture14-3 Operations on Binary Numbers Lecture14-4 Binary Logarithms and Hexadecimal Numbers Lecture14-5 Imaginary Units Lecture14-6 Complex Numbers Lecture14-7 Complex Conjugates Lecture14-8 The Complex Plane 16
Chap15 Polar Coordinate System
Lecture15-1 The Polar Coordinate Systems Lecture15-2 Radii and Angles Lecture15-3 Polar2Cart Conversion Lecture15-4 Cart2Polar Conversion Lecture15-5 Polar Equations
Recent Update|2022. 07. 26