Mathematics Books Calculus Books

Course Material for Introductory Calculus

Course Material for Introductory Calculus

Course Material for Introductory Calculus

This lecture note covers the following topics: General linear homogeneous ODEs, Systems of linear coupled first order ODEs,Calculation of determinants, eigenvalues and eigenvectors and their use in the solution of linear coupled first order ODEs, Parabolic, Spherical and Cylindrical polar coordinate systems, Introduction to partial derivatives, Chain rule, change of variable, Jacobians with examples including polar coordinate systems, surfaces and Sketching simple quadrics.

Author(s):

sNA Pages
Similar Books
Single Variable Calculus MIT

Single Variable Calculus MIT

This book explains the following topics: Derivatives, Derivatives, slope, velocity, rate of change, Limits, continuity, Trigonometric limits, Derivatives of products, quotients, sine, cosine, Chain rule, Higher derivatives, Implicit differentiation, inverses, Exponential and log, Logarithmic differentiation, hyperbolic functions, Applications of Differentiation, Linear and quadratic approximations ,Curve sketching, Max-min problems, Newton’s method and other applications, Mean value theorem, Inequalities, Differentials, antiderivatives, Differential equations, separation of variables, Integration, Techniques of Integration.

sNA Pages
A Brief Introduction to Calculus

A Brief Introduction to Calculus

These notes are intended as a brief introduction to some of the main ideas and methods of calculus. Topics covered includes: Functions and Graphs, Linear Functions, Lines, and Linear Equations, Limits, Continuity, Linear Approximation, Introduction to the Derivative, Product, Quotient, and Chain Rules, Derivatives and Rates, Increasing and Decreasing Functions, Concavity, Optimization, Exponential and Logarithmic Functions, Antiderivatives, Integrals.

s69 Pages
Calculus with Theory Lecture Notes

Calculus with Theory Lecture Notes

This note emphasizes careful reasoning and understanding of proofs. It assumes knowledge of elementary calculus. Topics covered includes: Integers and exponents, Square roots, and the existence of irrational numbers, The Riemann condition, Properties of integrals, Integrability of bounded piecewise-monotonic functions, Continuity of the square root function, Rational exponents, The fundamental theorems of calculus, The trigonometric functions, The exponential and logarithm functions, Integration, Taylor's formula, Fourier Series.

sNA Pages
Lecture Notes for Math by Dr. Vitaly A. Shneidman

Lecture Notes for Math by Dr. Vitaly A. Shneidman

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.

s163 Pages
Applied Advanced Calculus Lecture Notes by Jan Vrbik

Applied Advanced Calculus Lecture Notes by Jan Vrbik

This note explains following topics: Ordinary Differential Equations, First-Order Differential Equations, Second Order Differential Equations, Third and Higher-Order Linear ODEs, Sets of Linear, First-Order, Constant-Coefficient ODEs,Power-Series Solution, Vector Analysis, Complex Analysis, Complex Analysis, Complex Functions.

s136 Pages
Calculus by David Guichard

Calculus by David Guichard

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.

s320 Pages
Introduction to Calculus  Notes

Introduction to Calculus Notes

This note explains the following topics: Hyperbolic Trigonometric Functions, The Fundamental Theorem of Calculus, The Area Problem or The Definite Integral, The Anti-Derivative, Optimization, L'Hopital's Rule, Curve Sketching, First and Second Derivative Tests, The Mean Value Theorem, Extreme Values of a Function, Linearization and Differentials, Inverse Trigonometric Functions, Implicit Differentiation, The Chain Rule, The Derivative of Trig. Functions, The Differentiation Rules, Limits Involving Infinity, Asymptotes, Continuity, Limit of a function and Limit Laws, Rates of Change and Tangents to Curves.

sNA Pages
Understanding Basic Calculus

Understanding Basic Calculus

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.

s292 Pages
Calculus for Computer Scientists Lecture Notes

Calculus for Computer Scientists Lecture Notes

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.

s185 Pages
First Semester Calculus

First Semester Calculus

This note covers the following topics: Numbers and Functions, Derivatives, Limits and Continuous Functions, Graph Sketching and Max-Min Problems, Exponentials and Logarithms, The Integral, Applications of the integral.

s134 Pages
Introductory Calculus Notes

Introductory Calculus Notes

The approach followed is quite different from that of standard calculus texts. We use natural, but occasionally unusual, definitions for basic concepts such as limits and tangents. Topics covered includes: Sets: Language and Notation, The Extended Real Line, Suprema, Infima, Completeness, Neighborhoods, Open Sets and Closed Sets, Trigonometric Functions, Continuity, The Intermediate Value Theorem, Inverse Functions, Tangents, Slopes and Derivatives, Derivatives of Trigonometric Functions, Using Derivatives for Extrema, Convexity, Integration Techniques.

s330 Pages
Advanced Calculus by Evelyn Silvia

Advanced Calculus by Evelyn Silvia

This book covers the following topics: Field of Reals and Beyond, From Finite to Uncountable Sets, Metric Spaces and Some Basic Topology, Sequences and Series, Functions on Metric Spaces and Continuity, Riemann Stieltjes Integration.

sNA Pages
Calculus Lecture Notes

Calculus Lecture Notes

This lecture note explains Differential and Integral calculus of functions of one variable, including trigonometric functions.

s134 Pages
Calculus Lecture Notes I

Calculus Lecture Notes I

This lecture note explains the following topics: Methods of integration, Taylor polynomials, complex numbers and the complex exponential, differential equations, vector geometry and parametrized curves.

s153 Pages
Lecture Notes in Calculus (PDF 206P)

Lecture Notes in Calculus (PDF 206P)

This is useful notes for Calculus. This notes contain Real numbers, Functions, Derivatives, Integration theory and Sequences

s206 Pages
Introduction to calculus

Introduction to calculus

This book emphasizes the fundamental concepts from calculus and analytic geometry and the application of these concepts to selected areas of science and engineering. Topics covered includes: Sets, Functions, Graphs and Limits, Differential Calculus, Integral Calculus, Sequences, Summations and Products and Applications of Calculus.

s566 Pages

Advertisement