

Understanding Basic CalculusS.K. ChungPDF  292 Pages  EnglishIn 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.
 Calculus I for Computer Science and Statistics StudentsPeter PhilipPDF  162 Pages  EnglishThis
note covers the following topics: Mathematical Logic and Set Theory, Functions
and Relations, Natural Numbers, Induction, and the Size of Sets, Real Numbers,
Complex Numbers, Polynomials, Limits and Convergence of Real and Complex
Numbers, Convergence of KValued Functions, Differential Calculus, The Riemann
Integral on Intervals in R.
 First Year Calculus For Students of Mathematics and Related DisciplinesMichael
M. Dougherty and John GieringerPDF  846 Pages  EnglishIncidentally, the title of this textbook is not
meant to exclude students who are in fields of study other than mathematics.
Indeed, it is hoped that anyone who pursues calculus for whatever reason will do
so as a student of mathematics. Topics covered includes: Mathematical Logic and
Sets, Real Numbers, Algebra and Functions, Continuity and Limits of Functions,
The Derivative, Using Derivatives to Analyze Functions; Applications, Basic
Integration, Improper Integrals and Advanced Limit Techniques, Series of
Constants, Taylor Series.
 Calculus 1 Class NotesBob GardnerOnline  NA Pages  EnglishThis note explains the following topics:
Functions and Their Graphs, Trigonometric Functions, Exponential Functions,
Limits and Continuity, Differentiation, Differentiation Rules, Implicit
Differentiation, Inverse Trigonometric Functions, Derivatives of Inverse
Functions and Logarithms, Applications of Derivatives, Extreme Values of
Functions, The Mean Value Theorem, Monotone Functions and the First Derivative
Test, Integration, Sigma Notation and Limits of Finite Sums, Indefinite
Integrals and the Substitution Method.
 Calculus I by Mei Qin ChenMeiQin ChenOnline  NA Pages  EnglishGoals of this note is to have a
good understanding of concepts of calculus and applications of calculus in
sciences and engineering. Topics covered includes: polynomials and special
functions, The Concept of Limit, Computation of Limit, Continuity and its
Consequences, Limits Involving Infinity, Tangent Lines and Velocity, Computation
of Derivatives, Derivatives of Trigonometric Functions.
 Lecture Notes On Advanced Calculus IIJie
WuPDF  97 Pages  EnglishThis lecture note explains the following topics:Sequences of Real Numbers, Limits of Sequences, Sequences which tend to &
 Calculus for Computer Scientists Lecture NotesMaciej PaluszynskiPDF  185 Pages  EnglishThis 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.
 First Semester CalculusSigurd B. AngenentPDF  134 Pages  EnglishThis note covers the following
topics: Numbers and Functions, Derivatives, Limits and Continuous Functions,
Graph Sketching and MaxMin Problems, Exponentials and Logarithms, The Integral,
Applications of the integral.
 Advanced Calculus Lecture Notes for MathematicsJames S. MuldowneyPDF  189 Pages  EnglishThese
notes are not intended as a textbook. It is hoped however that they will
minimize the amount of note taking activity which occupies so much of a
student’s class time in most courses in mathmatics. Topics covered includes: The
Real Number system & Finite Dimensional Cartesian Space, Limits, Continuity, and
Differentiation, Riemann Integration, Differentiation of Functions of Several
Variables.
 Introductory Calculus NotesAmbar N. SenguptaPDF  330 Pages  EnglishThe 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.
 Calculus Lecture NotesStefan Balint, Eva Kaslik, Simona Epure, Simina Maris and Aurelia TomoioagaPDF  167 Pages  EnglishThis note
covers the following topics: Functions, Logic symbols, Converse theorem and
contrary theorem, Single variable calculus, Limit points of a sequence, Equal
continuous and equal bounded sequence of functions, Taylor polynomials,
Functions of several variables, Differentiation, Integrable functions of n
variables, Elementary curves and elementary closed curves, Properties of surface
integrals and Differentiation of an integral containing a parameter.
 Advanced Calculus by Evelyn SilviaEvelyn SilviaOnline  NA Pages  EnglishThis 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.
 Course Material for Introductory CalculusUniversity
of OxfordOnline  NA Pages  EnglishThis 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.
 Calculus Lecture NotesSigurd AngenentPDF  134 Pages  EnglishThis lecture note explains
Differential and Integral calculus of functions of one variable, including
trigonometric functions.
 Calculus Lecture Notes ISigurd AngenentPDF  153 Pages  EnglishThis lecture note explains the
following topics: Methods of integration, Taylor polynomials, complex numbers and the complex exponential, differential equations, vector geometry and
parametrized curves.
 Lecture Notes in Calculus (PDF 206P)Raz
KupfermanPDF  206 Pages  EnglishThis is useful notes for Calculus. This notes contain Real numbers,
Functions, Derivatives, Integration theory and Sequences
 Lecture Notes on the Lambda Calculus (PDF 106P)Peter
SelingerPDF  106 Pages  EnglishThis notes contains the details about The untyped lambda calculus, The
ChurchRosser Theorem, Combinatory algebras, The CurryHoward isomorphism,
Polymorphism, Weak and strong normalization, Denotational semantics of PCF
 Calculus Compact Lecture Notes (PDF 135P)ACC
CoolenPDF  135 Pages  EnglishThis notes contain Complex numbers, Proof by induction, Trigonometric and
hyperbolic functions, Functions, limits, differentiation, Integration, Taylor’s
theorem and series
 Calculus Course NotesCaltechOnline  NA Pages  EnglishThis notes contains the following subcategories
Calculus, Introduction to Number Theory and Vector Calculus
 Introduction to calculusJ.H.
HeinbockelPDF  566 Pages  EnglishThis 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.
 Calculus Made EasySilvanus
P. ThompsonPDF  292 Pages  EnglishCalculus Made Easy has long been the most popular calculus
primer, and this major revision of the classic math text makes the subject
at hand still more comprehensible to readers of all levels. This is a book
that explains the philosophy of the subject in a very simple manner, making
it easy to understand even for people who are not proficient in math.
 Calculus textbookProf.
Gilbert StrangOnline  NA Pages  EnglishThis book is a useful resource for educators and
selflearners alike. It is well organized, covers single variable and
multivariable calculus in depth, and is rich with applications.







