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Engineering Mathematics - 1 (MA110)
MA110
Engineering Mathematics - 1
Course Plan
Lecture Notes
L-01
Introduction to Functions of One Real Variable
L-02
Domains and Ranges of Functions of Several Variables
L-03
Limits and Continuity in Higher Dimensions
L-04
Partial Derivatives
L-05
Directional Derivatives and Gradient Vectors
L-06
Normals to Level Curves and Tangents
L-07
Extreme Values and Saddle Points
L-08
Lagrange Multipliers
L-09
Introduction to Integration
L-10
Double and Iterated Integrals over Rectangles
L-11
Double Integrals over General Regions
L-12
Area by Double Integration
L-13
Double Integrals in Polar Form
L-14
Triple Integrals in Rectangular Coordinates
L-15
Triple Integrals in Cylindrical and Spherical Coordinates
L-16
Substitution Methods
L-17
Line Integrals
L-18
Plane Tangent to a Surface
L-19
Vector Fields, Work, Circulation, and Flux
L-20
Path Independence, Potential Functions, and Conservative Fields
L-21
Green's Theorem
L-22
Parametrized Surfaces
L-23
Surface Integrals
L-24
Stokes's Theorem
L-25
Gauss Divergence Theorem
Problem Sheets
PS-01
Domains and Ranges of Functions of Several Variables
PS-02
Limits and Continuity in Higher Dimensions
PS-03
Partial Derivatives
PS-04
Directional Derivatives and Gradient Vectors
PS-05
Tangent Planes and Normal Lines
PS-06
Extreme Values and Saddle Points
PS-07
Lagrange Multipliers
PS-08
Double Integrals in Cartesian Coordinates
PS-09
Double Integrals in Polar Coordinates
PS-10
Triple Integrals in Rectangular, Cylindrical and Spherical Coordinates
PS-11
Substitution Methods