This note
explains the following topics: Calculus is probably not the most popular course
for computer scientists. Calculus – FAQ, Real and complex numbers, Functions,
Sequences, Series, Limit of a function at a point, Continuous functions, The
derivative, Integrals, Definite integral, Applications of integrals, Improper
integrals, Wallis’ and Stirling’s formulas, Numerical integration, Function
sequences and series.
This note contains below topics, Exterior algebra, Dierential forms and cochains de Rham theorem, Locally compact abelian groups, The kvector Pk of each Pk in exercise of.
This note contains below topics, Matrices and linear transformations, Spaces of matrices, Some geometric situations, Immersions submersions and connections, Metric spaces.
This note covers Numbers and
Functions, Derivatives 1, Limits and Continuous Function, Derivatives 2, Graph
Sketching and Max Min Problems, Exponentials and Logarithms, The Integral and
Applications of the integral.
This is a set of
exercises and problems for a standard beginning calculus. A fair
number of the exercises involve only routine computations, many of
the exercises and most of the problems are meant to illuminate
points that in my experience students have found confusing.
This
note covers following topics, Continuity and Limits, Continuous Function, Derivatives, Derivative as a
function, Differentiation rules, Derivatives of elementary functions,
Trigonometric functions, Implicit differentiation, Inverse Functions,
Logarithmic functions and differentiation, Monotonicity, Area between two
curves.
This note
explains following topics, Ordinary Differential Equations, FirstOrder
Differential Equations, Second Order Differential Equations, Third and
HigherOrder Linear ODEs, Sets of Linear, FirstOrder, ConstantCoefficient
ODEs,PowerSeries Solution, Vector Analysis, Complex Analysis, Complex Analysis,
Complex Functions.
This note covers following topics of Integral and
Differential Calculus, Differential Calculus, rates of change, speed, slope of a graph, minimum
and maximum of functions, Derivatives measure instantaneous changes, Integral
Calculus, Integrals measure the accumulation of some quantity, the total
distance an object has travelled, area under a curve, volume of a region.
This book covers the following
topics, Analytic Geometry, Instantaneous Rate Of Change, The Derivative, Rules
For Finding Derivatives, Transcendental Functions, Curve Sketching, Applications
of the Derivative, Integration, Techniques of Integration, Applications of
Integration, Sequences and Series.