Math 224: Multivariable Calculus

Course Logistics

Lecture Notes

Multiple Integrals

• L5 Surface Area
• L6 Triple Integrals Intro
• L7-8 Spherical & Cylindrical Coordinates
• L9 Jacobians & Change of Variables

Vector Calculus

• L11 The Gradient & Chain Rule
• L12 Vector Fields Introduction
• L13-14 Line Integrals & Vector Fields
• L15 Fundamental Theorem of Line Integrals
• L16 Green's Theorem
• L18 Curl and Divergence
• L19-21 Parametric Surfaces & Surface Integrals
• L22 Stokes' Theorem
• L23 The Divergence Theorem

Exams & Quizzes

Supplemental MATH 125 Archive

Selected review materials for integral calculus.

• TRIG Inverse Trig Conversions Sheet
• PRAC Integration Practice Set
• PRAC Calculus II Midterm Review