MATH1001: Differential Calculus – Course Notes (High Distinction)

Description

Full semester subject notes for MATH1001 from a high distinction student. Includes all information from lectures, tutorials and the textbook. Everything compiled into one neat document, perfect for exam preparation. Topics: Set Notation and Complex Numbers, Polar Form and Roots of Complex Numbers, Polar Exponential Form and Functions, Curves and Surfaces in 3-Dimensional Space, Partial Derivatives and Tangent Planes, Second Order Partial Derivatives and Continuity, Optimising Functions of Two Variables, Further Applications of the Partial Derivative, Directional Derivatives and the Gradient Vector, Limits and the Limit Laws, Taylor Polynomials, Taylor Series