2-Course Overview (7.17 MB)
1-Week One Introduction (1.95 MB)
1-Vectors Lecture 1 (78.88 MB)
11-Cross Product Lecture 4 (100.22 MB)
15-The Rise and Fall of Quaternions Why We Use i, j, and k in Vector Calculus Deep Dive Maths (132.52 MB)
4-Cartesian Coordinates Lecture 2 (96.71 MB)
6-Dot Product Lecture 3 (89.05 MB)
1-Analytic Geometry of Lines Lecture 5 (86.14 MB)
3-Analytic Geometry of Planes Lecture 6 (106.85 MB)
1-Kronecker Delta and Levi-Civita Symbol Lecture 7 (142.76 MB)
12-Vector Triple Product Lecture 10 (34.7 MB)
18-The Remarkable Relationship between the Levi-Civita Symbol and the Kronecker Delta Deep Dive Maths (37.83 MB)
6-Vector Identities Lecture 8 (46.27 MB)
8-Scalar Triple Product Lecture 9 (50.62 MB)
1-Scalar and Vector Fields Lecture 11 (70.37 MB)
1-Matrix Addition and Multiplication (82.36 MB)
2-Matrix Determinants and Inverses (69.9 MB)
1-Week Two Introduction (2.04 MB)
1-Partial Derivatives Lecture 12 (98.86 MB)
4-The Method of Least Squares Lecture 13 (108.06 MB)
6-Chain Rule Lecture 14 (85.15 MB)
8-Triple Product Rule Lecture 15 (89.13 MB)
9-Triple Product Rule Example Lecture 16 (63.45 MB)
1-Gradient Lecture 17 (65.7 MB)
3-Divergence Lecture 18 (114.12 MB)
5-Curl Lecture 19 (110.63 MB)
8-Laplacian Lecture 20 (58.02 MB)
1-Vector Derivative Identities Lecture 21 (64.17 MB)
2-Vector Derivative Identities (Proof) Lecture 22 (114.96 MB)
5-Electromagnetic Waves Lecture 23 (77.87 MB)
1-Week Three Introduction (2.17 MB)
1-Double and Triple Integrals Lecture 24 (81.37 MB)
3-Example Double Integral with Triangle Base Lecture 25 (78.98 MB)
1-Polar Coordinates (Gradient) Lecture 26 (59.19 MB)
12-Change of Variables (Single Integral) Lecture 30 (80.96 MB)
13-Change of Variables (Double Integral) Lecture 31 (94.81 MB)
5-Polar Coordinates (Divergence and Curl) Lecture 27 (61.65 MB)
7-Polar Coordinates (Laplacian) Lecture 28 (27.18 MB)
9-Central Force Lecture 29 (120.46 MB)
1-Cylindrical Coordinates Lecture 32 (73.52 MB)
11-Spherical Coordinates (Part B) Lecture 34 (49.84 MB)
6-Spherical Coordinates (Part A) Lecture 33 (59.99 MB)
Week Four Introduction (1.9 MB)
1-Line Integral of a Scalar Field Lecture 35 (46.11 MB)
3-Arc Length Lecture 36 (49.86 MB)
1-Line Integral of a Vector Field Lecture 37 (44.91 MB)
4-Work-Energy Theorem Lecture 38 (23.14 MB)
1-Surface Integral of a Scalar Field Lecture 39 (46.38 MB)
4-Surface Area of a Sphere Lecture 40 (60.88 MB)
1-Surface Integral of a Vector Field Lecture 41 (43.14 MB)
3-Flux Integrals Lecture 42 (36.68 MB)
Week Five Introduction (2.94 MB)
1-Gradient Theorem Lecture 43 (81.47 MB)
3-Conservative Vector Fields Lecture 44 (121.17 MB)
5-Conservation of Energy Lecture 45 (50.85 MB)
1-Divergence Theorem Lecture 46 (139.4 MB)
10-Continuity Equation Lecture 49 (81.93 MB)
3-Divergence Theorem Example Lecture 47 (102.04 MB)
6-Divergence Theorem Example II Lecture 48 (77.34 MB)
1-Green's Theorem Lecture 50 (85.48 MB)
4-Stokes' Theorem Lecture 51 (50.36 MB)
1-Meaning of the Divergence and the Curl Lecture 52 (97.39 MB)
3-Maxwell's Equations Lecture 53 (99.6 MB)
1-Concluding Remarks (5.27 MB)