Calc-3 Discussion 01

Discussion Topics covered: Review Integration and derivative rules / 2D vector basics

Part A: Review This Week's Lecture Topics (~30 mins)

Derivatives

• Basic Derivative Rules
• Product Rule and Quotient Rule
• Chain Rule

Indefinite Integrals

• Basic Rules
• U-Substitution
• Trigonometric Integrals
• Trigonometric Substitution
• Integration by Parts

2D Vector Basics

• Writing a vector between two points
• Breaking a vector into its components
• Writing vectors using basis unit vector notation ($\hat{i}$, $\hat{j}$, and $\hat{k}$)
• Writing vectors using bracket notation
• Finding vector magnitudes
• Finding unit vectors in the same direction as a general vector

Part B: Next Week's Prerequisite Refresher (~30 mins)

Review the following prerequisite skills:

• Solving Right Triangles (Pythagorean Theorem, Trig Functions to find unknown sides and angles)
• Matrix Determinants (2x2 and 3x3)
• Evaluating and graphing parametric functions