🛠 Aerospace & Aviation Notes
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1. Table of Contents
AMT General
AP Computer Science Principles
Calculus I
Calculus II
Fundamentals of Materials Science Table of Contents
Introduction to Aerospace Flight Vehicles Table of Contents
Quantum Mechanics I
2. Calculus I
Week 1 - Functions and Inverse
1. Fundamental Concepts
2. Definition of a Function
3. Domain and Range of a Function
4. Composition of Functions
5. The Inverse Function and Invertibility
6. Inverse of Trigonometric Functions
7. Composition of (Inverse) Trigonometric Values
Week 2 - Differentiation
1. Fundamental Concepts
2. Introduction to Derivatives
3. Differentiation Rules
4. Implicit Differentiation
5. Derivatives of Inverse (Trigonometric) Functions
Week 3 - Approximations
1. Fundamental Concepts
2. Approximating Function Values
3. Linearization
4. Differentials
5. Taylor Polynomials
6. Taylor's Inequality
Week 4 - Limits
1. Fundamental Concepts
2. Horizontal Asymptotes
3. Application of Asymptotes and Growth Rates
4. Computation Rules and Standard Limits
5. Dominance
6. Squeeze Theorem
Week 5 - Integrals
1. Fundamental Concepts
2. Introduction to Integrals
3. Computation Rules
4. Fundamental Theorem of Calculus
5. Substitution
6. Integrating by Parts
7. Approximating using Taylor's Polynomials
8. Unbounded Domains
Week 6 - Differential Equations
1. Fundamental Concepts
2. Introduction to Differential Equations
3. Direction Fields
4. Separable Differential Equations
5. First Order Linear Differential Equations
6. Linear Second Order Differential Equations
7. Homogeneous Second Order Linear Differential Equations with Constant Coefficients
8. Context Example for Non-Homogeneous Equations
9. Method of Undetermined Coefficients
10. Approximation by Taylor Polynomials
Syllabus
3. Calculus II
Week 1 Multivariable Functions
1. Fundamental Concepts
2. Multivariable Functions
3. Graphs of Multivariable Functions
4. Contour Plots
Week 2 Partial Derivatives
1. Fundamental Concepts
2. First Order Partial Derivatives
3. Tangent Plane and Linearization
4. Higher Order Parital Derivatives
5. The Chain Rule For Partial Derivatives
Week 3 Directional Derivatives
1. Fundamental Concepts
2. Directional Derivatives
3. The Gradient of a Function
Week 4 Extremes
1. Fundamental Concepts
2. Extreme Values
3. Critical Points
4. Finding Extreme Values
Week 5 Double Integration
1. Fundamental Concepts
2. Double Integrals
3. Double Integrals Over Rectangles
4. Double Integrals Over General Regions
5. Polar Coordinates
Week 6 Triple Integration
1. Fundamental Concepts
2. Triple Integrals
3. Triple Integrals Over General Regions
4. Triple Integrals With Cylindrical Coordinates
5. Triple Integrals With Spherical Coordinates
Syllabus
4. Fundamentals of Materials Science
Introduction
1. Introduction
Syllabus
Module I
1. Atomic Bonding
2. Crystal Lattice
3. Crystal Structure of Metals
4. Crystallographic Points, Directions, and Planes
5. Introduction to Aerospace Flight Vehicles
Module I - Introductory
Chapter 1 - What is Aerospace Engineering?
Chapter 2 - History of Aircraft & Aviation
Chapter 3 - History of Rockets & Space Flight
6. AMT General
01 - Safety, Ground Operations, & Servicing
8. Quantum Mechanics I
Week 1
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Matter
9. AP Computer Science Principles
Overview
Overview
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6. Inverse of Trigonometric Functions
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