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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