# Plane Curves, Lecture Notes - Mathematics

Plane curves, multivariable calculus, integration along curve. green's theorem , frenet serret apparatus in two dimensions, computing t and n, geometric interpretation of k, rotation index, closed curves

# Natural Cubic Splines, Lecture Notes - Advanced Calculus

Natural Cubic Spline, General Algorithm, Matlab Code, Results

# Conformal Mappings, Lecture Notes - Integral Calculus

Conformal Mapping, Angles between curves, Parameterization of lines, Tangent Line from a linear approximation, Angle between Two tangents, Conformal Mappings, Condition for conformality, Linear fractional transformations, Group theory

# Natural Cubic Splines, Lecture Notes - Advanced Calculus

Natural Cubic Spline, General Algorithm, Matlab Code, Results

# Singularities at Infinity, Lecture Notes - Mathematics

Singularities at infinity, merophic functions and examples, isolated singularities, types, riemann sphere, computing integrals, cauchy residue theorem, real analysis method, complex analysis method

# Plane Curves, Lecture Notes - Mathematics

Plane curves, multivariable calculus, integration along curve. green's theorem , frenet serret apparatus in two dimensions, computing t and n, geometric interpretation of k, rotation index, closed curves

# Conformal Mappings, Lecture Notes - Integral Calculus

Conformal Mapping, Angles between curves, Parameterization of lines, Tangent Line from a linear approximation, Angle between Two tangents, Conformal Mappings, Condition for conformality, Linear fractional transformations, Group theory

# Linear Function Transformations, Lecture Notes - Mathematics

Linear function transformations, important general properties of lft's, map the upper half plane bijectively onto the unit disk, boundary of the upper half plane, conclusion, find all bijectively maps from u to u, image of positive unit disk, foll...

# Algebra of a Function - Business Calculus - Lecture Notes

These are the Lecture Notes of Business Calculus. Key important points are: Algebra of a Function, Operation, Evauation of Function, Addition of Function, Subtraction of Function

# Antiderivatives - Business Calculus - Lecture Notes

These are the Lecture Notes of Business Calculus. Key important points are: Antiderivatives, Rules of Integration, Function, Antiderivatives, Intervl, Constant of Integration

# Area Between Two Curves - Business Calculus - Lecture Notes

These are the Lecture Notes of Business Calculus. Key important points are: Area Between Two Curves, Graph, Function, Perform the integration, Sketch the Graph

# Basic Rules of Differentiation - Business Calculus - Lecture Notes

These are the Lecture Notes of Business Calculus. Key important points are: Basic Rules of Differentiation, Derivatived, Constant Function, Problem, Square Root

# Chain Rule - Business Calculus - Lecture Notes

These are the Lecture Notes of Business Calculus. Key important points are: Chain Rule, Exercise, Brackets, Division, Problem, Eqality