This book contains below topics, Analytic Geometry, Distance Between Two Points Circles, Shifts and Dilations, Instantaneous Rate of Change The Derivative, The slope of a function, An example, The Derivative Function, Properties of Functions, Rules for Finding Derivatives, The Power Rule, Linearity of the Derivative, The Product Rule, The Quotient Rule, The Chain Rule, Transcendental Functions, Trigonometric Functions.
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 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.
In this book, much emphasis is put on explanations of concepts and solutions to examples. Topics covered includes, Sets, Real Numbers and Inequalities, Functions and Graphs, Limits, Differentiation, Applications of Differentiation, Integration, Trigonometric Functions, Exponential and Logarithmic Functions.