10A
10A
Office Hours: Tuesday 10:50-11:50 and Thursday 2:30 - 3:30 in Skye 281
No office hours on Aug 14, please refer to ELearn announcement.
Please feel free to email for any questions or appointments.
Week 1 (Jul 29) - Notes of review for Sections 1.1 and 1.2 with lots of worked out examples.
Key Takeaways:
Vector Algebra: Vector Addition and Scalar Multiplication
Vector notation with respect to standard basis
Inner product
Computing length of vector
Normalizing vectors
Computing distance between two vectors
Orthogonal projections
Checking if vectors are orthogonal
Week 2 (Aug 5) - Notes of homework review, general questions to keep in mind, cylindrical and spherical coordinates.
Typo in notes, located at the computation of the length of the projection.
Key Takeaways:
Cross product equal zeroes implies parallel
How to find a points distance from a plane
How to move from euclidean coordinates to cylindrical and spherical coordinates, as well as the reverse direction.
Week 3 (Aug 12) - Notes of level sets, limits, partial derivatives, derivatives, and curves.
Key Takeaways:
How to sketch level sets
Computing limits using theorem and taylor series.
Computing partial derivates and the matrix of partial derivatives.
Definition of a multivariable function being differentiable.
Basics of curves
Week 4 (Aug 19) - Notes on derivative properties, chain rule, directional derivatives.
Key Takeaways:
How to use chain rule for higher dimension.
How to compute directional derivatives.
How to check increasing or decreasing at a point.
Week 5 (Aug 26) - Notes on partial derivatives, taylor polynomials, extreme and contrained extrema, arc length and curvature. (PDF will be uploaded after discussion section)