Calculus III
Textbook: “Calculus Volume 3”, OpenStax. You can download here for free.
Tentative Test Dates (subject to change):
Test #1: Feb 24, 2022
Test #2: March 24, 2022
Test #3: Apr 28, 2022
Course Evaluation (Subject to Change)
Written Homework - 20%
Quizzes - 10%
3 Tests - 15% each (45% total)
Final Exam - 25%
Date
Lecture Notes
Topic
Geometry of Space
Answer Keys
Calculus of Vector-valued Functions
Answer Keys
Functions in Several Variables and Limits
Continuity and Partial Derivatives
Linearization and Differentiability
Chain Rule
Directional Derivatives and Gradients
Max-Min Problems
Lagrange Multipliers Method
Double Integrals over Rectangles
Double Integrals over General Regions
Double Integrals in Polar Coordinates
Triple Integrals
Triple Integrals in Cylindrical and Spherical Coordinates
Change of Variables Formula
Vector Fields
Line Integrals
Conservative Vector Fields-Fundamental Theorem of Line Integrals
Green's Theorem
Curl and Divergence
Surface Integrals
Stokes' Theorem
Divergence Theorem
Practice Tests and Exams