It takes the average reader 9 hours and 46 minutes to read Computer-Supported Calculus by Adi Ben-Israel
Assuming a reading speed of 250 words per minute. Learn more
Functions, limits, and continuity.- 1 Functions.- 1.1 Introduction.- 1.2 Functions and their graphs.- 1.3 Polynomials.- 1.4 Rational functions.- 1.5 Inverse functions.- 2 Elementary functions used in calculus.- 2.1 Exponential and logarithmic functions.- 2.2 Trigonometric functions.- 2.3 Inverse trigonometric functions.- 2.4 Hyperbolic functions.- 2.5 Inverse hyperbolic functions.- 3 Limits and continuity.- 3.1 Limits.- 3.2 One-sided limits.- 3.3 Infinite limits.- 3.4 Continuous functions.- 3.5 Continuous functions on closed intervals.- 3.6 Proofs.- Derivatives.- 4 Differentiation.- 4.1 Tangency.- 4.2 Differentiability.- 4.3 Derivative function.- 4.4 Special derivatives.- 4.5 Rectilinear motion and velocity.- 4.6 Approximations.- 4.7 Higher derivatives.- 4.8 Acceleration.- 5 Differentiation rules.- 5.1 Product and quotient rules.- 5.2 Chain rule and implicit differentiation.- 5.3 Rates of change.- 5.4 Derivatives of inverse functions.- 6 Extremum problems.- 6.1 Terminology.- 6.2 Necessary condition for a local extremum.- 6.3 First-derivative test.- 6.4 Second-derivative test.- 6.5 Optimal inventory.- 6.6 Convexity.- 6.7 Analysis of graphs.- 6.8 Proofs.- 7 Mean value theorem.- 7.1 Mean value theorem.- 7.2 Rule of l'Hospital.- 7.3 Taylor theorem.- 7.4 Antiderivatives.- 7.5 Iterative methods.- 7.6 Newton method.- 7.7 Fixed points.- 7.8 Proofs.- Integrals.- 8 Definite integrals.- 8.1 Introduction.- 8.2 Riemann sums.- 8.3 Definite integral.- 8.4 Numerical integration: trapezoid method.- 8.5 Numerical integration: Simpson method.- 8.6 Proofs.- 9 Fundamental theorem of calculus.- 9.1 Indefinite integral.- 9.2 Position and distance from velocity.- 9.3 Fundamental theorem of calculus.- 9.4 List of integrals.- 9.5 Proofs.- 10 Integration techniques.- 10.1 Changing variables.- 10.2 Integration by parts.- 10.3 Rational functions.- 10.4 Improper integrals: infinite intervals.- 10.5 Improper integrals: unbounded integrands.- 11 Applications of integrals.- 11.1 Area.- 11.2 Area by polar coordinates.- 11.3 Arc length.- 11.4 Volume.- 11.5 Solids of revolution: volume.- 11.6 Solids of revolution: surface area.- 11.7 Moments and centroids.- 11.8 Centroids of three-dimensional bodies.- 11.9 Work.- 11.10 Hydrostatic force.- Series and approximations.- 12 Sequences and series.- 12.1 Sequences and convergence.- 12.2 Series.- 12.3 Convergence criteria for series.- 12.4 Proofs.- 13 Series expansions and approximations.- 13.1 Series of functions.- 13.2 Power series.- 13.3 Differentiation of power series.- 13.4 Taylor series.- 13.5 Lagrange interpolation.- 13.6 Proofs.- Appendixes.- A Introduction to MACSYMA.- A.1 MACSYMA inputs and outputs.- A.2 Getting on-line help.- A.3 Expressions.- A.4 Constants.- A.5 Numbers.- A.6 Assignments.- A.7 Equations.- A.8 Functions.- A.9 Lists.- A.10 Expanding expressions.- A.11 Simplifying expressions.- A.12 Factoring expressions.- A.13 Making substitutions.- A.14 Extracting parts of an expression.- A.15 Trigonometric functions.- A.16 A simple program.- A.17 Plotting.- B Numbers.- B.1 Arithmetic operations.- B.2 Real numbers.- B.3 Absolute value.- B.4 Equations and inequalities.- B.5 Two fundamental properties of real numbers.- B.6 Complex numbers.- C Analytical geometry.- C.2 Lines.- C.3 Circles.- C.4 Sine, cosine, and tangent.- C.5 Polar coordinates.- D Conic sections.- D.l Conic sections.- D.2 Circle.- D.3 Parabola.- D.4 Ellipse.- D.5 Hyperbola.
Computer-Supported Calculus by Adi Ben-Israel is 582 pages long, and a total of 146,664 words.
This makes it 196% the length of the average book. It also has 179% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 13 hours and 21 minutes to read Computer-Supported Calculus aloud.
Computer-Supported Calculus is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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