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Differential Calculus Notes For Mathematics 100 and 180
The contents include: The basics, Limits, Derivatives, Applications of derivatives, Numbers, Sets, Other important sets, Functions, Parsing formulas, Inverse functions, Another limit and computing velocity, The limit of a function, Calculating limits with limit laws, Continuity, Revisiting tangent lines, Interpretations of the derivative, Proofs of the arithmetic of derivatives, Derivatives of Exponential Functions, Derivatives of trigonometric functions, The natural logarithm, Implicit Differentiation, Inverse Trigonometric Functions, The Mean Value Theorem, Higher order derivatives, Velocity and acceleration, Related rates, Optimisation, Sketching graphs, Introduction to antiderivatives, Carbon dating, Population growth, Some examples, Further examples, The error in the Taylor polynomial approximations, Local and global maxima and minima, Finding global maxima and minima, Symmetries, A checklist for sketching, Sketching examples, Standard examples, Variations.
Author(s): Joel Feldman, Andrew Rechnitzer
391 Pages
Calculus I Compact Lecture Notes by ACC Coolen
The contents include: Introduction, Proof by induction, Complex numbers, Trigonometric and hyperbolic functions, Functions, limits and differentiation, Integration, Taylor’s theorem and series, Exercises.
Author(s): ACC Coolen, Department of Mathematics, King’s College London
135 Pages
Differential and Integral Calculus Notes in Brief
This note covers functions, Differentiation, Exponentials and logarithms, integration, Differential equation.
Author(s): Matthew Scroggs, University College of London
22 Pages
A text book of differential calculus with numerous worked out examples
This book is intended for beginners. Topics covered includes: Fundamental Rules for Differentiation, Tangents and Normals, Asymptotes, Curvature, Envelopes, Curve Tracing, Properties of Special Curves, Successive Differentiation, Rolle's Theorem and Taylor's Theorem, Maxima and Minima, Indeterminate Forms.
Author(s): Ganesh Prasad
186 Pages
Differential Calculus Simplified to the Bone
This book emphasis on systematic presentation and explanation of basic abstract concepts of differential Calculus. Topics covered includes: Limits, Continuity and Differentiation of Real Functions of One Real Variable, Differentiation and Sketching Graphs Using Analysis.
Author(s): Larissa Fradkin
73 Pages
Differential calculus for beginners
The present small volume is intended to form a sound introduction to a study of the Differential Calculus suitable for the beginner.
Author(s): Joseph Edwards
293 Pages
Elements of the differential and integral calculus
This is an amazing book related to differential and integral calculus.It provides crystal clear explanations, is very consistent and goes gently deeply into each topic.
Author(s): William Anthony Granville, Percey F Smith and William Raymond Longley
489 Pages
Introduction to Differential Calculus (PDF 44P)
This lecture note explains the following topics: What is the derivative, How do we find derivatives, What is differential calculus used for, differentiation from first principles.
Author(s): Christopher Thomas
44 Pages
