Nimit Nimana – นิมิต นิมานะ
Department of Mathematics, Faculty of Science, Khon Kaen University
Lecture
Topics(with Lecture Notes)
Read(Anton’s Book)
Video Lectures
Lecture Notes
0 (Self Study)
Chapter 0 : Three-Dimentional Spaces
0.1 Rectangular Coordinates
0.2 Vectors
0.3 Dot Product
0.4 Cross Product
11.1
11.2
11.3
11.4
–
Chapter 1 : Surfaces and Coordinate Systems
1
Curse Review and 1.0 Conic Sections
10.4
Video
Note
2
1.1 Parametric Equations
10.1, 11.5
3
1.2 Surfaces – intercepts, traces, symmetry
11.7
4
1.3 Equation of Surfaces – sphere, cylinder
5
1.4 Quadric Surfaces – 6 surfaces
Video-1
Video-2
6
1.5 Polar Coordinates
10.2
7
1.6 Cylindrical and Spherical Coordinates
11.8
Chapter 2 : Multiple Integrals
8
2.1 Double Integrals over Rectangular Regions
14.1
9
2.2 Double Integrals over Nonrectangular Regions
14.2
10
2.3 Double Integrals in Polar Coordinates
14.3
11
2.4 Triple Integrals
14.5
12
2.5 Jacobians and Changes of Variables in Multiple Integrals
14.7
13
2.6 Surface Areas
14.4
Chapter 3 : Vector-Valued Functions
14
3.1 Vectors and Parametric Curves in 3D-Space
12.1
Video-1Video-2
15
3.2 Limits and Continuity
16
3.3 Derivatives and Integrals
17
3.4 Curves and their Length
12.3
18
3.5 Unit Tangent, Normal and Binormal Vectors
12.4
19
3.6 Curvature and Radius of Curvature
12.5
Chapter 4 : Vector Calculus
20
4.1 Line Integrals
15.2
21
4.2 Independence of Path, Conservative Vector Field
15.3
22
4.3 Green’s Theorem
15.4
23
4.4 Surface Integrals
15.5
24
4.5 Flux
15.6
25
4.6 Divergence Theorem and Stokes’ Theorem
15.7,15.8