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주차 회차 요일 Topic Sub-topic 학습 내용
1 1 월 Topic 1: Number and algebra Complex Numbers and Three Forms Complex Plane
Cartesian Form
Polar Form
Exponential Form
2 화 Topic 1: Number and algebra De Moivre's Theorem Multiplication and Division of complex numbers
Powers of complex numbers
De Moivre's Theorem
3 수 Topic 1: Number and algebra Roots of Unity Roots of complex numbers
Visualization
4 목 Topic 5: Calculus Limits and First Principle Definition of Limits and Continuity
Squeeze Theorem
First Principle
Derivative as a Gradient
Rate of Change
Differentiability
5 금 Topic 5: Calculus Differentiation Rules 1 Power Rule
Product Rule
Quotient Rule
Chain Rule
Tangents and Normals
2 6 월 Topic 5: Calculus Differentiation Rules 2 Exponential
Differentiation
Logarithmic Differentiation
Trigonometric Differentiation
Inverse Trigonometric Differentiation
7 화 Topic 5: Calculus Curve Sketching Interpretation of f′(x) > 0, f′(x) = 0, f′(x) < 0
Stationary Points
Local Max/Min & Stationary Inflection
Second Derivative & Concavity
Points of Inflection
8 수 Topic 5: Calculus Related Rates Solving Related Rates Problems
9 목 Topic 5: Calculus Introduction to Integration Antiderivatives
Indefinite Integral
Fundamental Theorem of Calculus
Riemann Sum
10 금 Topic 5: Calculus Indefinite Integral Concept of Indefinite
Integral
Indefinite Integral of x^n, sinx, cosx, 1/x, e^x, etc
3 11 월 Topic 5: Calculus Integration techniques 1 Integration by Substitution
Trigonometric Substitution
12 화 Topic 5: Calculus Integration techniques 2 Integration by Parts
Partial Fraction
13 수 Topic 5: Calculus Definite Integral Concept of Definite Integral
Area Under a Function
Area between two Functions
Volume of Revolution
Volume with Cross Sections
Surface Area of Revolution
14 목 Topic 5: Calculus Kinematics Position, Velocity, Acceleration Problems
Displacement and Distance Calculations
15 금 Mock Test
4 16 월 Topic 4: Statistics and Probability Theoretical Probability Basic Probability Concepts
Conditional Probability
Bayes theorem
Combined Events, Mutually Exclusive Events, Independent & Dependent Events
17 화 Topic 4: Statistics and Probability Descriptive Statistics Measures of central tendency (mean, median and mode)
Measures of Dispersion (IQR, Standard Deviation and Variance)
Effect of Constant Changes
Quartiles
18 수 Topic 4: Statistics and Probability Bivariate Statistics Scatter Diagram
Pearson's Correlation Coefficient
Regression Line
Prediction
19 목 Topic 4: Statistics and Probability Discrete Random Variables Discrete Random Variable
Discrete Probability Distribution
Binomial Distribution
Expected Value, Variance, and Standard deviation
20 금 Topic 4: Statistics and Probability Continuous Random Variables Continuous Random Variables
Probability Density Function
Expected Value, Variance, and Standard deviation
Normal Distribution
z-score