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Mathematics 1b Overview
Main Content
Textbook
Week 1: Functions I
Week 1: Preparation
Week 1: Exercises
Week 1: Closure
Week 2: Functions II
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
Uge 7: Integral in 1D and 2D
Week 7: Preparation
Week 7: Exercises
Week 7: Closure
Uge 8: Integration in Higher Dimensions
Week 8: Preparation
Week 8: Exercises
Week 8: Closure
Uge 9: Integration of Vector Fields
Week 9: Preparation
Uge 9: Exercises
Week 9: Closure
Python and CAS demos
Welcome to Sympy!
Demo 1: Continuity, 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: Extrema and Optimization
Demo 7: Riemann Integrals in 1D and 2D
Demo 8: Riemann Integrals in multiple Dimensions and Variable Substitution
Demo 9: Line and Surface Integrals of Scalar Functions
Demo 10: Integration of Vector Fields: The Line Integral and Flux
Theme Exercises
Theme 1: The Gradient Method
Theme 2: Data Matrices and Dimensional Reduction
Assignments
Homework Assignments
Homework Assignment 1
Homework Assignment 2
Project Period
Additional Content
About the Course
Exam Rules
Locations and Teachers
Ed Discussion Forum
Live Streaming
Extra Material
Corrections to the textbook
.md
.pdf
Uge 8: Integration in Higher Dimensions
Uge 8: Integration in Higher Dimensions
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Preparation
In-class
Closure
