A major part of your participation grade is based on the exit tickets of weekly videos. These exit tickets will keep you connected with your classmates and the instructor. Each module includes an exit ticket discussion post. At the end of each module, submit your participation log by following these instructions.
The objectives of this participation log are to promote:
After each video, reflect and submit your exit ticket by responding to participation questions (if provided) or by sharing general insights. Your response can include:
| Video Title | Date Watched | Exit Ticket Date | Comments |
|---|---|---|---|
| Introduction to Advanced Engineering Analysis | Jan 07, 2025 | Jan 07, 2025 | 1 question answered |
| Dimensional analysis review - Part 1: Dimensions and units | Jan 08, 2025 | Jan 08, 2025 | |
| Dimensional analysis review - Part 2: Dimensional homogeneity | Jan 08, 2025 | Jan 08, 2025 |
These are the videos the require exit tickects. Modules 0 to 6 are required and modules 7 and 8 are elective. You need to complete all the required modules and one elective module of your choice.
| Module | Video # | Video Title |
|---|---|---|
| 0. Introduction | 1 | Advanced Engineering Analysis: Overview of course structure and goals |
| 1. Dimensional Analysis | 1 | Dimensional Analysis Review - Part 1: Dimensions and Units |
| 1. Dimensional Analysis | 2 | Dimensional Analysis Review - Part 2: Dimensional Homogeneity |
| 1. Dimensional Analysis | 3 | Pi Theorem - Part 1: Physical Models and Principles of Similarity |
| 1. Dimensional Analysis | 4 | Pi Theorem - Part 2: Non-dimensional Parameters |
| 1. Dimensional Analysis | 5 | Pi Theorem - Part 3: Scaling Laws and Physical Models |
| 2. Differential Calculus | 1 | Fundamentals of Derivatives - Part 1: Fundamental Theorem of Calculus |
| 2. Differential Calculus | 2 | Fundamentals of Derivatives - Part 2: Derivative Rules |
| 2. Differential Calculus | 3 | Fundamentals of Derivatives - Part 3: Derivatives of Special Functions |
| 2. Differential Calculus | 4 | Derivative Tests - Part 1: Singular and Critical Points |
| 2. Differential Calculus | 5 | Derivative Tests - Part 2: Optimization |
| 2. Differential Calculus | 6 | Derivative Tests - Part 3: Engineering Applications |
| 2. Differential Calculus | 7 | Multivariable Derivatives - Part 1: Parametric Equations |
| 2. Differential Calculus | 8 | Multivariable Derivatives - Part 2: Partial Derivatives |
| 2. Differential Calculus | 9 | Multivariable Derivatives - Part 3: Implicit Differentiation |
| 2. Differential Calculus | 10 | Vector Calculus - Part 1: Gradient |
| 2. Differential Calculus | 11 | Vector Calculus - Part 2: Divergence |
| 2. Differential Calculus | 12 | Vector Calculus - Part 3: Curl |
| 2. Differential Calculus | 13 | Taylor Series: Series Expansion and Function Approximation |
| 3. Integral Calculus | 1 | Fundamentals of Integrals - Part 1: Integration Rules and Integrals of Special Functions |
| 3. Integral Calculus | 2 | Fundamentals of Integrals - Part 2: Elementary Integration Operations |
| 3. Integral Calculus | 3 | Fundamentals of Integrals - Part 3: Higher Order Integration |
| 3. Integral Calculus | 4 | Fundamentals of Integrals - Part 4: Engineering Applications |
| 3. Integral Calculus | 5 | Integral Functions: Infinite Series Solutions |
| 4. Differential Equations | 1 | Fundamentals of Differential Equations - Part 1: Basic Terms |
| 4. Differential Equations | 2 | Fundamentals of Differential Equations - Part 2: Laws of Conservations |
| 4. Differential Equations | 3 | Fundamentals of Differential Equations - Part 3: Analytical Solutions |
| 4. Differential Equations | 4 | Applications of Differential Equations - Part 1: Engineering Applications |
| 4. Differential Equations | 5 | Applications of Differential Equations - Part 2: Predator Prey Model |
| 5. Modeling and Simulation | 1 | Introduction to Physics-based Modeling: Mathematical Model |
| 5. Modeling and Simulation | 2 | Introduction to Physics-based Modeling: Analytical and Numerical Solutions |
| 5. Modeling and Simulation | 3 | Introduction to Physics-based Modeling: Modeling of PFAS Emerging Contaminants |
| 5. Modeling and Simulation | 4 | Fundamentals of Physics-based Modeling: Boundary Conditions |
| 5. Modeling and Simulation | 5 | Fundamentals of Physics-based Modeling: Finite Difference Method |
| 5. Modeling and Simulation | 6 | Fundamentals of Physics-based Modeling: Inverse Modeling |
| 6. Linear Algebra | 1 | Introduction to Linear Algebra: Review of Matrix Operations |
| 6. Linear Algebra | 2 | Introduction to Linear Algebra: Solving Linear Equations |
| 6. Linear Algebra | 3 | Introduction to Linear Algebra: Distributed and Lumped Models |
| 7. Monte Carlo Simulation | 1 | Monte Carlo Simulation for Cost Estimation: Probabilistic Estimation |
| 7. Monte Carlo Simulation | 2 | Monte Carlo Simulation for Cost Estimation: Application |
| 8. Regression Analysis | 1 | Linear Regression: Model complexity and model selection |
| 8. Regression Analysis | 2 | Linear Regression: Least squared method |
| 8. Regression Analysis | 3 | Linear Regression: Is the Earth warming? |