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