MAM2083F: Advanced Calculus Exam Bundle

Detailed and understandable summary of the derivatives and integrals of vector functions. Packed with exam problems and colourful hints. Contains: - Background on derivatives of vector functions - Basic derivatives of vector functions - Point of tangency and tangent vector examples - Unit ta...

Detailed and understandable summary of the derivatives and integrals of vector functions. Packed with exam problems and colourful hints. Contains: - Background on arc length and how the formula are derived - Detailed method sheets for calculating both arc length and how to reparametrise - 3 Examples...

Detailed and understandable summary of the derivatives and integrals of vector functions. Packed with exam problems and colourful hints. Contains: - Basic introduction into TNB Frames - Explanation of what each unit vector means geometrically - Formula to calculate each unit vector - Proof of why th...

Detailed and understandable summary of the Intro to Multivariable Functions. Packed with exam problems and colourful hints. Contains: - Background on multivariable functions - Detailed methods on how to graph domain and functions - 1 Example to find points using a curve - 3 Examples on how to find t...

Detailed and understandable summary of curvature, torsion and equation of planes for vector functions. Packed with exam problems and colourful hints. Contains: - Background on how curvature and torsion equations are derived - All relevant formula's for unit vectors, curvature and torsion and when t...

Detailed and understandable summary of the Derivatives of Multivariable Functions . Packed with exam problems and colourful hints. Contains: - Background on to derive multivariable (MV) functions - Different notations explained - 7 Examples on finding MV derivatives - 2 Examples finding implicit der...

Detailed and understandable summary of tangent planes and normal lines. Packed with examples and colourful hints. Contains: - Background on tangent plane and normal line - Conceptual understanding each formula component - Examples 5 on finding gradient, normal lines and tangent planes.

Detailed and understandable summary of Directional Derivatives. Packed with examples and colourful hints. Contains: - Background on deriving directional derivatives - Derivation of formula - 2 Examples of finding directional derivatives - Breakdown of gradient of a function - 4 Examples using/findin...

Detailed and understandable summary of the Velocity, Acceleration and Projectile Motion for vector functions. Packed with examples and colourful hints. Contains: - Summary of formula - 3 Examples of finding speed and acceleration - Acceleration as a vector notes - Projectile motion using vector func...

A brief overview of the entire MAM2000W 2AC course. Perfect for exam revision.

Summary for double integrals for the MAM2000W 2AC course.