5A Fall 2025
5A Fall 2025
Note: my office hours are also in person in Skye 347, MW 5pm (right after class). Please take note of the 15 minute policy in the link.
Lecture 1 - I.5 Manipulating Functions
Lecture 2 - I.6 Piecewise Functions
Lecture 3 - I.7 Functions on Subsets of the Plane
Some resources from today:
Create elevation profiles using On The Go Map
Sketching in 3D using Geogebra, Example 1, Example 2, Example 3
Lecture 4 - I.8 Linear Systems and Feasible Sets
Lecture 5 - II.1 II.2 Manipulating Functions
Lecture 6 - II.4, II.5 (II.3 will be covered in discussion)
Lecture 7 - II.6 Inverse Functions
Lecture 8 - II.7 II.8 Rotations, Polar Coordinates Inverse Functions
Lecture 9 - II.9 Inversion
Lecture 10 - III.1 Rigidity of Lines and Planes
Actual lecture notes (this has been updated from lecture 11!)
Lecture 11 - III.1 continued..., III.2 Polynomial Functions
Lecture 12 - III.2 continued... , III.3 III.4 Rational
Lecture 13 - III.5 Orders of Intersection
Lecture 14 - III.6 Rigidity of Tangential Intersections
Lecture 15 - IV.1 Introduction to Symmetry
Geogebra: Even function, Odd Function
The Rubik's Cube Group has 43,252,003,274,489,856,000 elements.
Lecture 16 - IV.2 Translational Symmetry
Actual lecture notes
Geogebra: Sine and Cosine Functions
Lecture 17 - IV.2 Translational Symmetry
Actual lecture notes
Lecture 18 - IV.3 Symmetric Change
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Pre-lecture notes
Actual lecture notes
Lecture 19 - IV.4 Symmetry of Tangential Intersections
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Pre-lecture notes
Actual lecture notes
Lecture 20 - Overflow
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Pre-lecture notes
Actual lecture notes