UTK Notes
Home
/
MATH241
/ Lecture Notes
Lecture Notes
Lecture Notes
08-19-25 12.1 3D Coordinate System
08-20-25 12.2 Vectors
08-22-25 12.2 Vector Space
08-25-25 12.3 Dot Product
08-26-25 12.4 Cross Product
08-27-25 12.4 Determinants
08-29-25 12.5 Lines and Planes
09-02-25 12.5 Distance to Plane
09-03-25 13.1 Vector Functions
09-05-25 13.2 Vector Function Calculus
09-08-25 13.3 Arc Length
09-09-25 13.3 Curvature
09-10-25 Test 1 Review
09-15-25 14.1 Two-Dimensional Functions
09-16-25 14.1 Level Curves
09-17-25 14.2 Limits and Continuity
09-19-25 14.3 Partial Derivatives
09-22-25 14.3 Higher-Order Partial Derivatives
09-23-25 14.4 Tangent Planes
09-24-25 14.4 Linearization
09-26-25 14.5 Chain Rule
09-29-25 14.5 Implicit Differentiation
09-30-25 14.6 Directional Derivative
10-01-25 14.6 Gradient Vector
10-03-25 14.7 Local Extrema
10-08-25 Test 2 Review
10-13-25 14.7 Maxium and Minimum Values
10-14-25 15.1 Double Integrals over Rectangles
10-15-25 15.1 Double Integrals over Rectangles
10-17-25 15.2 Double Integrals over General Regions
10-20-25 15.3 Double Integrals in Polar Coordinates
10-21-25 15.3 Double Integrals in Polar Coordinates
10-22-25 15.4 Applications of Double Integrals
10-24-25 15.6 Triple Integrals
10-27-25 15.6 Triple Integrals
10-28-25 15.7 Triple Integrals in Cylindrical Coordinates
10-29-25 15.8 Triple Integrals in Spherical Coordinates
10-31-25 Change of Variables
11-03-25 Test 3 Review
11-07-25 15.9 Change of Variables
11-10-25 16.1 Vector Fields
11-11-25 16.2 Line Integrals
11-12-25 16.2 Line Integrals
11-14-25 16.3 The Fundamental Theorem for Line Integrals
11-17-25 16.3 The Fundamental Theorem for Line Integrals
11-18-25 16.4 Green’s Theorem
11-19-25 16.5 Curl and Divergence
11-21-25 16.6 Surface Areas
11-24-25 16.6 Surface Areas
11-25-25 16.7 Surface Integrals