MIT Course , Fall 2006 , Prof. David Jerison

**106**students enrolled

MIT Course , Fall 2006 , Prof. David Jerison

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 - Hyperbolic functions (cont.) and exam 1 review - Linear and quadratic approximations - Approximations (cont.); curve sketching - Max-min problems - Related rates - Newtons method and other applications - Mean value theorem; Inequalities

Differentials, antiderivatives-Differential equations, separation of variables - Definite integrals - First fundamental theorem of calculus - Second fundamental theorem - Applications to logarithms and geometry - Volumes by disks and shells - Work, average value, probability - Numerical integration - Exam 3 review - Trigonometric integrals and substitution - Integration by inverse substitution - Partial fractions-Integration by parts, reduction formulae - Parametric equations, arclength, surface area - Polar coordinates; area in polar coordinates - Indeterminate forms - L Hospitals rule-Improper integrals - Infinite series and convergence tests - Taylors series

Differentials, antiderivatives-Differential equations, separation of variables - Definite integrals - First fundamental theorem of calculus - Second fundamental theorem - Applications to logarithms and geometry - Volumes by disks and shells - Work, average value, probability - Numerical integration - Exam 3 review - Trigonometric integrals and substitution - Integration by inverse substitution - Partial fractions-Integration by parts, reduction formulae - Parametric equations, arclength, surface area - Polar coordinates; area in polar coordinates - Indeterminate forms - L Hospitals rule-Improper integrals - Infinite series and convergence tests - Taylors series

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3.6 (7 Ratings)

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- 1.Derivatives, slope, velocity, rate of change
- 2.Limits, continuity Trigonometric limits
- 3.Derivatives of products, quotients, sine, cosine
- 4.Chain rule Higher derivatives
- 5.Implicit differentiation, inverses
- 6.Exponential and log Logarithmic differentiation; hyperbolic functions
- 7.Hyperbolic functions (cont.) and exam 1 review
- 8.Linear and quadratic approximations
- 9.Approximations (cont.); curve sketching
- 10.Max-min problems
- 11.Related rates
- 12.Newtons method and other applications
- 13.Mean value theorem; Inequalities
- 14.Differentials, antiderivatives
- 15.Differential equations, separation of variables
- 16.Definite integrals
- 17.First fundamental theorem of calculus
- 18.Second fundamental theorem
- 19.Applications to logarithms and geometry
- 20.Volumes by disks and shells
- 21.Work, average value, probability
- 22.Numerical integration
- 23.Exam 3 review
- 24.Trigonometric integrals and substitution
- 25.Integration by inverse substitution
- 26.Partial fractions
- 27.Integration by parts, reduction formulae
- 28.Parametric equations, arclength, surface area
- 29.Polar coordinates; area in polar coordinates
- 30.Exam 4 review
- 31.Indeterminate forms - L Hospitals rule
- 32.Improper integrals
- 33.Infinite series and convergence tests
- 34.Taylors series
- 35.Final review of Single Variable Calculus

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