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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
Past Exam Sets
Solution to Trial Exam F24
Solution to Exam F24
Solution to Reexam F24
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
