Calc 3 spent their first week on a quick recap of Vectors, Dot Product properties, and general gist of the end material of Calc 2, including Polar Coordinates.

Notes: February 10th

Second week covered Partial Derivatives and associated Product Rule, Chain Rule, and Quotient Rule.

Notes: February 17th

Week three covered exciting material, such as Differentiability, Gradient of a function, Directional Derivatives, Double Limits, Polar Approach in limits, and Level Curves.

Notes: February 24th

Tangent Planes to Surfaces at a point! More complex multivariate limits on surfaces by using different coordinate systems and matching level curves. Optimization in Several Variables with Lagrange Multipliers.

Notes: March 3rd

Midterm I review. Midterm I is held on March 10th. Later, we went over Integration in Two Variables and Double Integrals over General Regions.

Notes: March 9th

Continuation over Double Integrals over General Regions. Starting on Triple Integrales and their applications!

Notes: March 17th

Doing Applications of Multiple Integrals and Change of Variables.

Notes: March 24th

Integration in Polar, Cylindrical, Spherical Coordinates. Working with Vector-Valued Functions and Calculus of Vector-Valued Functions.

Notes: March 31st

We learned Arc Length and Speed, Vector Fields, and Line Integrals!

Notes: April 7th

The students were preparing for their second Midterm on April 14th. We went over Conservative Vector Fields.

Notes: April 13th

Green’s Theorem, Parametrized Surfaces, and Surface Integrals.

Notes: April 21st

This is the last meeting of the semester! They should go over Parametrized Surfaces, Surface Integrals, and Surface Integrals of Vector Fields.

During their last week, which is the week after this one, they will cover Stoke’s Theorem and Divergence Theorem.

Notes: April 28th