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Pre-Calculus with Python Programming: SAT Math 2

Unit 0: Welcome to Pre-Calculus with Python Programming

Chapter 1: Introduction
Quadratic Equation
Complex Number
Advanced Complex Number (Advanced)
Graphing Tool for Math

Unit 1: Function

Unit 1: Function Overview
Chapter 2: Function Algebra
Ch2 Topic: Functional Domain and Range
Ch2 Topic: Inverse Function
Chapter 4: Functional Analysis
Ch4 Topic: Functional Grow Rate (Advanced)
Ch 4 Topic: L'Hospital Rule (Advanced)
Chapter 5: Function Families (104:39)
Chapter 6: Functional Transformation

Unit 2: Advanced Functions

Chapter 1: Polynomial (Part 1) 1/3 (97:16)
Chapter 1: Polynomial (Part 2) 2/3 (43:32)
Ch 1 Topic: Polynomial Formula
Chapter 2: Rational Function
Chapter 3: Radical Functions
Chapter 4: Exponential Functions
Chapter 5: Logarithmic Functions
Piecewise Functions

Unit 3: Conic Section - 2 Variable Functions

Chapter 1: Parabola
Chapter 2: Ellipse
Chapter 3: Hyperbola
Chapter 4: Unit Circle and Rotation

Unit 4: Sequence and Series - Discrete Functions

Chapter 1: Integer Functions
Chapter 2: Sequence
Ch 2: Topic: Sequence
Chapter 3: Arithmetic Series (Sigma Notation)
Ch 3: Topic: Sigma Notation
Chapter 4: Geometric Sequence
Chapter 5: Geometric Series
Chapter 6: Binomial Theorem
Ch 6 Topic: Asymptotes
Ch F Topic: Binomial Theorem (Extra Materials)

Unit 5: Trigonometry

Review: Introduction to Analytical Geometry
Review: Introduction to Trigonometry
Chapter 1: Unit Circle Trigonometry (92:21)
Chapter 2: Graphing Sine and Cosine (96:59)
Chapter 3: Graphing Other Functions (tan, sec, cot, csc, and sinusoidal functions)
Chapter 4: Trigonometry Identity (107:36)
Chapter D: Advanced Trigonometric Functions

Unit 8: Systems and Matrix

Overview: Inner Product, Component Vectors and Transformation using Matrix (76:15)

Unit 9: Approximation and Limit Theory

Calculus L'Hospital Rule

Unit 11: Advanced Topics

Mathematical Induction
Biology: Genes and DNA
Physics: Quadratic Equation for Kinetics
Computer Science: Encryption
Computer Science: Evaluation Function - Google Page Rank

Conclusion

From Pre-calculus to SAT Subject Math 2 and College Math (21:02)

Appendix B: Matplotlib

Introduction to Plotting in Matplotlib
PyLab Plotting
Plotting Mortgage

Appendix C: Extra Resource

Glencoe Precalculus Textbook

Appendix D: TI CAS Nspire Calculuator

TI CAS Nspire Calculator Part 1
TI CAS Nspire Calculator Part 2
TI CAS Nspire Calculator Part 3
TI CAS Nspire Calculator Part 4
TI CAS Nspire Calculator Part 5
TI CAS Nspire Calculator Part 6
TI CAS Nspire Calculator By Hand (part 1)
TI CAS Nspire Calculator by Hand (Part 2)
TI CAS Nspire Calculator by Hand (Part 3)
TI CAS Nspire Calculator By Hand (Part 4)
TI CAS Nspire Calculator by Hand (Part 5)
TI CAS Nspire Calculator Tutorial

SAT Subject Math II Preparation by Ms. Michelle Kim

Concept on Function: Part A
Concept on Fuctions: Part B
Polynomial Functions: Part A
Polynomial Functions: Part B
Rational Functions
Radical Expressions/Functions
Exponential and Logarithmic Functions
Parametric Function and Piecewise Function
Trigonometry: Part 1
Trigonometry: Part 2
Vector
Polar Coordinates
Complex Values
Conic Sections
Sequence
Pre-calculus Playlist

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