ILearn MATH 2415

This page contains some class lecture notes for Calculus III. All the files are in PDF and are copyright protected.

They do not substitute your class activity/notes/lecture, but serve as an auxiliary resource. 

 

 

Lessons' List

 

Part 1 

1.      Power Series (Lesson PP, Practice PDF, PracticeSol)*;
2.      Taylor and Maclauren Series (Lesson PP, Practice PDF, PracticeSol);
3.      Convergence of Taylor Series (Lesson PP, Practice PDF, PracticeSol);
4.      Applications to Power Series (Lesson PP, Practice PDF, PracticeSol);
5.      3D Coordinate System (Lesson PP, Practice PDF, PracticeSol);
6.      Vectors (Lesson PP, Practice PDF, PracticeSol);
7.      The Dot Product (Lesson PP, Practice PDF, PracticeSol);
8.      The Cross Product (Lesson PP, Practice PDF, PracticeSol);
9.      Lines and Planes in 3D (Lesson PP, Practice PDF, PracticeSol);
10.  Curves in Space (Lesson PP, Practice PDF, PracticeSol);
11.  Integrals of Vector Functions (Lesson PP, Practice PDF, PracticeSol);
12.  Arc Length (Lesson PP, Practice PDF, PracticeSol);
13.  Curvature and Normal Vectors (Lesson PP, Practice PDF, PracticeSol);
 
15.  Functions of Multivariables (Lesson PP, Practice PDF, PracticeSol);
17.  Partial Derivatives (Lesson PP, Practice PDF, PracticeSol);
18.  Directional Derivatives and Gradient (Lesson PP, Practice PDF, PracticeSol);
19.  Tangent Planes (Lesson PP, Practice PDF, PracticeSol);
20.  Extreme Values (Lesson PP, Practice PDF, PracticeSol);
21.  Double Integrals (Lesson PP, Practice PDF, PracticeSol);
23.  Triple Integrals (Lesson PP, Practice PDF, PracticeSol);
24.  Moments and Center of Mass (Lesson PP, Practice PDF, PracticeSol).
 

 

 *Lesson PP = Power Point File for the lesson;
   Practice PDF = PDF file for practice exercises;
   PracticeSol = PDF file with solutions for practice exercises.