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Mathematics 1b Overview
Main Content
Textbook
Week 1: Functions
Week 1: Preparation
Week 1: Exercises
Week 1: Closure
Week 2: Differentiability
Week 2: Preparation
Week 2: Exercises
Week 2: Closure
Week 3: Inner-Product Spaces
Week 3: Preparation
Week 3: Exercises
Week 3: Closure
Week 4: The Spectral Theorem
Week 4: Preparation
Week 4:Exercises
Week 4: Closure
Week 5: Taylor Approximations
Week 5: Preparation
Week 5: Exercises
Week 5: Closure
Week 6: Extrema and Optimization
Week 6: Preparation
Week 6: Exercises
Week 6: Closure
Week 7: Integration in 1D and 2D
Week 7: Preparation
Week 7: Exercises
Week 7: Closure
Week 8: Integration in Higher Dimensions
Week 8: Preparation
Week 8: Closure
Week 9: Integration of Vector Fields
Week 9: Preparation
Week 9: Closure
Python and CAS demos
Welcome to Sympy!
Demo 1: Functions, Plotting, and Partial Derivatives
Demo 2: Differentiability
Demo 3: Inner-Product Spaces
Demo 4: The Spectral Theorem, Diagonalization, and Hermitian Matrices
Demo 5: Taylor Approximations
Demo 6: Extremum Investigation and Optimization
Demo 7: Riemann Integrals
Demo 8: Parametric Representations
Demo 9: Plane, Volume, Line, and Surface Integrals with The Change-of-Variables Theorem
Demo 10: Vector Fields and their Integration along Curves (the Tangential Line Integral)
Demo 11: Integration of Vector Fields through Surfaces (Flux)
Theme Exercises
Theme 1: The Gradient Method
Theme 2: Data Matrices and Dimensional Reduction
Assignments
Homework Assignments
Homework Assignment 1
Homework Assignment 2
Additional Content
About the Course
Exam Rules
Locations and Teachers
Ed Discussion Forum
Live Streaming
Extra Material
.md
.pdf
Week 7: Integration in 1D and 2D
Week 7: Integration in 1D and 2D
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Preparation
In-class
Closure
