Slideshows by User: leingang http://www.slideshare.net/ http://www.slideshare.net/images/logo.gif Slideshows by User: leingang http://www.slideshare.net/ Fri, 09 May 2008 19:06:34 GMT SlideShare feed for Slideshows by User: leingang Final Review II http://www.slideshare.net/leingang/final-review-ii

from: leingang 8 months ago

Review of partial differentiation and multiple integrals

Tags: math math21a multivariable calculus function

]]>

from: leingang 8 months ago

Review of partial differentiation and multiple integrals

Tags: math math21a multivariable calculus function

]]> Fri, 09 May 2008 19:06:34 GMT http://www.slideshare.net/leingang/final-review-ii leingang@slideshare.net(leingang) Final Review II leingang Review of partial differentiation and multiple integrals <div class='snap_preview'><img src="http://cdn.slideshare.net/2007spring21afinalreviewiislides-1210359752386728-8-thumbnail-2?1210359999" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 8 months ago</p><p>Review of partial differentiation and multiple integrals</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math21a">math21a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/multivariable">multivariable</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/calculus">calculus</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> </p></div> math,math21a,multivariable,calculus,function, Final Review II
View SlideShare presentation or Upload your own. (tags: math math21a)
]]> 1132 0 http://cdn.slideshare.net/2007spring21afinalreviewiislides-1210359752386728-8-thumbnail-2?1210359999 Lesson 31: The Divergence Theorem http://www.slideshare.net/leingang/lesson-31-the-divergence-theorem

from: leingang 8 months ago

Gauss's divergence theorem, the last of the big three theorems in multivariable calculus, links the integral of the divergence of a vector field over a region with the flux integral of the vector field over the boundary surface.

Tags: integral function math21a math integral

]]>

from: leingang 8 months ago

Gauss's divergence theorem, the last of the big three theorems in multivariable calculus, links the integral of the divergence of a vector field over a region with the flux integral of the vector field over the boundary surface.

Tags: integral function math21a math integral

]]> Thu, 01 May 2008 14:55:34 GMT http://www.slideshare.net/leingang/lesson-31-the-divergence-theorem leingang@slideshare.net(leingang) Lesson 31: The Divergence Theorem leingang Gauss's divergence theorem, the last of the big three theorems in multivariable calculus, links the integral of the divergence of a vector field over a region with the flux integral of the vector field over the boundary surface. <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson31divergencetheoremslides-1209653696964461-9-thumbnail-2?1209653734" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 8 months ago</p><p>Gauss's divergence theorem, the last of the big three theorems in multivariable calculus, links the integral of the divergence of a vector field over a region with the flux integral of the vector field over the boundary surface.</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/integral">integral</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math21a">math21a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integral">integral</a> </p></div> integral,function,math21a,math,integral, Lesson 31: The Divergence Theorem
View SlideShare presentation or Upload your own. (tags: integral function)
]]> 820 0 http://cdn.slideshare.net/lesson31divergencetheoremslides-1209653696964461-9-thumbnail-2?1209653734 Lesson 30: Stokes's Theorem http://www.slideshare.net/leingang/lesson-30-stokess-theorem

from: leingang 8 months ago

Stokes's Theorem is the 3D version of Green's Theorem.

Tags: math math21a multivariable calculus integration

]]>

from: leingang 8 months ago

Stokes's Theorem is the 3D version of Green's Theorem.

Tags: math math21a multivariable calculus integration

]]> Mon, 28 Apr 2008 17:27:01 GMT http://www.slideshare.net/leingang/lesson-30-stokess-theorem leingang@slideshare.net(leingang) Lesson 30: Stokes's Theorem leingang Stokes's Theorem is the 3D version of Green's Theorem. <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson30stokesstheoremslides-1209403591601618-8-thumbnail-2?1209403621" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 8 months ago</p><p>Stokes's Theorem is the 3D version of Green's Theorem.</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math21a">math21a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/multivariable">multivariable</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/calculus">calculus</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integration">integration</a> </p></div> math,math21a,multivariable,calculus,integration, Lesson 30: Stokes's Theorem
View SlideShare presentation or Upload your own. (tags: math math21a)
]]> 832 0 http://cdn.slideshare.net/lesson30stokesstheoremslides-1209403591601618-8-thumbnail-2?1209403621 Lesson 31: Numerical Integration http://www.slideshare.net/leingang/lesson-31-numerical-integration

from: leingang 8 months ago

Three methods for approximating an integral are surprisingly good: The Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule.

Tags: math quadrature integration function math1a

]]>

from: leingang 8 months ago

Three methods for approximating an integral are surprisingly good: The Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule.

Tags: math quadrature integration function math1a

]]> Fri, 25 Apr 2008 16:58:21 GMT http://www.slideshare.net/leingang/lesson-31-numerical-integration leingang@slideshare.net(leingang) Lesson 31: Numerical Integration leingang Three methods for approximating an integral are surprisingly good: The Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule. <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson31numericalintegrationslides-1209142649021765-8-thumbnail-2?1209142701" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 8 months ago</p><p>Three methods for approximating an integral are surprisingly good: The Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule.</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/quadrature">quadrature</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integration">integration</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math1a">math1a</a> </p></div> math,quadrature,integration,function,math1a, Lesson 31: Numerical Integration
View SlideShare presentation or Upload your own. (tags: math quadrature)
]]> 969 0 http://cdn.slideshare.net/lesson31numericalintegrationslides-1209142649021765-8-thumbnail-2?1209142701 Lesson 30: Integration by Parts http://www.slideshare.net/leingang/lesson-30-integration-by-parts

from: leingang 8 months ago

Integration by parts "undoes" the product rule

Tags: technique integration integral math1a function

]]>

from: leingang 8 months ago

Integration by parts "undoes" the product rule

Tags: technique integration integral math1a function

]]> Thu, 24 Apr 2008 18:10:53 GMT http://www.slideshare.net/leingang/lesson-30-integration-by-parts leingang@slideshare.net(leingang) Lesson 30: Integration by Parts leingang Integration by parts "undoes" the product rule <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson30ibpslides-1209060401545701-9-thumbnail-2?1209060653" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 8 months ago</p><p>Integration by parts "undoes" the product rule</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/technique">technique</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integration">integration</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integral">integral</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math1a">math1a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> </p></div> technique,integration,integral,math1a,function, Lesson 30: Integration by Parts
View SlideShare presentation or Upload your own. (tags: technique integration)
]]> 2131 1 http://cdn.slideshare.net/lesson30ibpslides-1209060401545701-9-thumbnail-2?1209060653 Lesson 29: Integration by Substitution http://www.slideshare.net/leingang/lesson-29-integration-by-substitution

from: leingang 8 months ago

The method of substitution undoes the chain rule.

Tags: integration function math1a math integration

]]>

from: leingang 8 months ago

The method of substitution undoes the chain rule.

Tags: integration function math1a math integration

]]> Tue, 22 Apr 2008 17:58:20 GMT http://www.slideshare.net/leingang/lesson-29-integration-by-substitution leingang@slideshare.net(leingang) Lesson 29: Integration by Substitution leingang The method of substitution undoes the chain rule. <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson29integrationbysubstitutionslides-1208886977876249-8-thumbnail-2?1208887100" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 8 months ago</p><p>The method of substitution undoes the chain rule.</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/integration">integration</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math1a">math1a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integration">integration</a> </p></div> integration,function,math1a,math,integration, Lesson 29: Integration by Substitution
View SlideShare presentation or Upload your own. (tags: integration function)
]]> 625 0 http://cdn.slideshare.net/lesson29integrationbysubstitutionslides-1208886977876249-8-thumbnail-2?1208887100 Lesson 28: The Fundamental Theorem of Calculus http://www.slideshare.net/leingang/lesson-28-the-fundamental-theorem-of-calculus

from: leingang 8 months ago

The Fundamental Theorem of Calculus relates the two essential concepts in calculus.

Tags: ftc integral function derivative math1a

]]>

from: leingang 8 months ago

The Fundamental Theorem of Calculus relates the two essential concepts in calculus.

Tags: ftc integral function derivative math1a

]]> Tue, 22 Apr 2008 17:49:24 GMT http://www.slideshare.net/leingang/lesson-28-the-fundamental-theorem-of-calculus leingang@slideshare.net(leingang) Lesson 28: The Fundamental Theorem of Calculus leingang The Fundamental Theorem of Calculus relates the two essential concepts in calculus. <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson28ftcslides-1208886529654106-9-thumbnail-2?1208886564" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 8 months ago</p><p>The Fundamental Theorem of Calculus relates the two essential concepts in calculus.</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/ftc">ftc</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integral">integral</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/derivative">derivative</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math1a">math1a</a> </p></div> ftc,integral,function,derivative,math1a, Lesson 28: The Fundamental Theorem of Calculus
View SlideShare presentation or Upload your own. (tags: ftc integral)
]]> 604 0 http://cdn.slideshare.net/lesson28ftcslides-1208886529654106-9-thumbnail-2?1208886564 Lesson 27: Evaluating Definite Integrals http://www.slideshare.net/leingang/lesson-27-evaluatin-definite-integrals

from: leingang 8 months ago

Also known as the second fundamental theorem of calculus

Tags: fundamentaltheoremofcalc... antiderivative integral function math

]]>

from: leingang 8 months ago

Also known as the second fundamental theorem of calculus

Tags: fundamentaltheoremofcalc... antiderivative integral function math

]]> Wed, 16 Apr 2008 16:15:36 GMT http://www.slideshare.net/leingang/lesson-27-evaluatin-definite-integrals leingang@slideshare.net(leingang) Lesson 27: Evaluating Definite Integrals leingang Also known as the second fundamental theorem of calculus <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson27evaluatingdefiniteintegralsslides-1208362500483442-8-thumbnail-2?1208362536" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 8 months ago</p><p>Also known as the second fundamental theorem of calculus</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/fundamentaltheoremofcalculus">fundamentaltheoremofcalc...</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/antiderivative">antiderivative</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integral">integral</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> </p></div> fundamentaltheoremofcalculus,antiderivative,integral,function,math, Lesson 27: Evaluating Definite Integrals
View SlideShare presentation or Upload your own. (tags: fundamentaltheoremofcalc... antiderivative)
]]> 1127 0 http://cdn.slideshare.net/lesson27evaluatingdefiniteintegralsslides-1208362500483442-8-thumbnail-2?1208362536 Lesson 15: Gradients and level curves http://www.slideshare.net/leingang/lesson-15-gradients-and-level-curves

from: leingang 8 months ago

The gradient of a function is the collection of its partial derivatives, and is a vector field always perpendicular to the level curves of the function.

Tags: gradient vectorfield function math21a math

]]>

from: leingang 8 months ago

The gradient of a function is the collection of its partial derivatives, and is a vector field always perpendicular to the level curves of the function.

Tags: gradient vectorfield function math21a math

]]> Tue, 15 Apr 2008 17:20:14 GMT http://www.slideshare.net/leingang/lesson-15-gradients-and-level-curves leingang@slideshare.net(leingang) Lesson 15: Gradients and level curves leingang The gradient of a function is the collection of its partial derivatives, and is a vector field always perpendicular to the level curves of the function. <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson15gradientslevelcurvesslides-1208280012216101-9-thumbnail-2?1208280014" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 8 months ago</p><p>The gradient of a function is the collection of its partial derivatives, and is a vector field always perpendicular to the level curves of the function.</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/gradient">gradient</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/vectorfield">vectorfield</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math21a">math21a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> </p></div> gradient,vectorfield,function,math21a,math, Lesson 15: Gradients and level curves
View SlideShare presentation or Upload your own. (tags: gradient vectorfield)
]]> 799 0 http://cdn.slideshare.net/lesson15gradientslevelcurvesslides-1208280012216101-9-thumbnail-2?1208280014 Lesson 26: The Definite Integral http://www.slideshare.net/leingang/lesson-26-the-definite-integral

from: leingang 8 months ago

Having explored the area problem for curved regions or regions below graphs of functions, we define the definite integral and state some of its properties. It's defined for functions which are continuous or at worst have finitely many jump or removable discontinuities. It's "linear" with respect to addition and scaling of functions. And it preserves order between functions.

Tags: math math1a function integral area

]]>

from: leingang 8 months ago

Having explored the area problem for curved regions or regions below graphs of functions, we define the definite integral and state some of its properties. It's defined for functions which are continuous or at worst have finitely many jump or removable discontinuities. It's "linear" with respect to addition and scaling of functions. And it preserves order between functions.

Tags: math math1a function integral area

]]> Mon, 14 Apr 2008 18:10:00 GMT http://www.slideshare.net/leingang/lesson-26-the-definite-integral leingang@slideshare.net(leingang) Lesson 26: The Definite Integral leingang Having explored the area problem for curved regions or regions below graphs of functions, we define the definite integral and state some of its properties. It's defined for functions which are continuous or at worst have finitely many jump or removable discontinuities. It's "linear" with respect to addition and scaling of functions. And it preserves order between functions. <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson26thedefiniteintegralslides-1208196477647294-8-thumbnail-2?1208196600" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 8 months ago</p><p>Having explored the area problem for curved regions or regions below graphs of functions, we define the definite integral and state some of its properties. It's defined for functions which are continuous or at worst have finitely many jump or removable discontinuities. It's "linear" with respect to addition and scaling of functions. And it preserves order between functions.</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math1a">math1a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integral">integral</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/area">area</a> </p></div> math,math1a,function,integral,area, Lesson 26: The Definite Integral
View SlideShare presentation or Upload your own. (tags: math math1a)
]]> 652 0 http://cdn.slideshare.net/lesson26thedefiniteintegralslides-1208196477647294-8-thumbnail-2?1208196600 Lesson 24: Antiderivatives http://www.slideshare.net/leingang/lesson-24-antiderivatives

from: leingang 9 months ago

Tags: math math1a function derivative antiderivative

]]>

from: leingang 9 months ago

Tags: math math1a function derivative antiderivative

]]> Wed, 09 Apr 2008 19:32:11 GMT http://www.slideshare.net/leingang/lesson-24-antiderivatives leingang@slideshare.net(leingang) Lesson 24: Antiderivatives leingang <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson24antiderivativesslides-1207769505853444-8-thumbnail-2?1207769531" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 9 months ago</p><p></p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math1a">math1a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/derivative">derivative</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/antiderivative">antiderivative</a> </p></div> math,math1a,function,derivative,antiderivative, Lesson 24: Antiderivatives
View SlideShare presentation or Upload your own. (tags: math math1a)
]]> 611 0 http://cdn.slideshare.net/lesson24antiderivativesslides-1207769505853444-8-thumbnail-2?1207769531 Lesson 25: Areas http://www.slideshare.net/leingang/lesson-25-areas

from: leingang 9 months ago

The general area problem needs some kind of infinite process, whether an infinite series or a limit of finite sums. Once we define the definite integral, we examine its properties.

Tags: function math1a math area integral

]]>

from: leingang 9 months ago

The general area problem needs some kind of infinite process, whether an infinite series or a limit of finite sums. Once we define the definite integral, we examine its properties.

Tags: function math1a math area integral

]]> Wed, 09 Apr 2008 19:30:46 GMT http://www.slideshare.net/leingang/lesson-25-areas leingang@slideshare.net(leingang) Lesson 25: Areas leingang The general area problem needs some kind of infinite process, whether an infinite series or a limit of finite sums. Once we define the definite integral, we examine its properties. <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson25areasslides-1207769463243332-9-thumbnail-2?1207769446" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 9 months ago</p><p>The general area problem needs some kind of infinite process, whether an infinite series or a limit of finite sums. Once we define the definite integral, we examine its properties.</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math1a">math1a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/area">area</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integral">integral</a> </p></div> function,math1a,math,area,integral, Lesson 25: Areas
View SlideShare presentation or Upload your own. (tags: function math1a)
]]> 318 0 http://cdn.slideshare.net/lesson25areasslides-1207769463243332-9-thumbnail-2?1207769446 Lesson 15: Linear Approximation and Differentials http://www.slideshare.net/leingang/lesson-15-linear-approximation-and-differentials

from: leingang 9 months ago

The tangent line to a graph at a point is the best possible linear approximation that agrees at that point. We can use it for estimation and error control.

Tags: math1a math function derivativative math

]]>

from: leingang 9 months ago

The tangent line to a graph at a point is the best possible linear approximation that agrees at that point. We can use it for estimation and error control.

Tags: math1a math function derivativative math

]]> Fri, 04 Apr 2008 19:54:33 GMT http://www.slideshare.net/leingang/lesson-15-linear-approximation-and-differentials leingang@slideshare.net(leingang) Lesson 15: Linear Approximation and Differentials leingang The tangent line to a graph at a point is the best possible linear approximation that agrees at that point. We can use it for estimation and error control. <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson15linearapproximationslides-1207338810274765-8-thumbnail-2?1207338873" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 9 months ago</p><p>The tangent line to a graph at a point is the best possible linear approximation that agrees at that point. We can use it for estimation and error control.</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/math1a">math1a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/derivativative">derivativative</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> </p></div> math1a,math,function,derivativative,math, Lesson 15: Linear Approximation and Differentials
View SlideShare presentation or Upload your own. (tags: math1a math)
]]> 823 1 http://cdn.slideshare.net/lesson15linearapproximationslides-1207338810274765-8-thumbnail-2?1207338873 Lesson 22: Triple Integrals http://www.slideshare.net/leingang/lesson-22-triple-integrals

from: leingang 9 months ago

You knew this was coming. From double integrals over plane regions we move onward to triple integrals over solid regions. The visualization is a little harder, but the calculus not that much.

Tags: math math21a function integrations triple

]]>

from: leingang 9 months ago

You knew this was coming. From double integrals over plane regions we move onward to triple integrals over solid regions. The visualization is a little harder, but the calculus not that much.

Tags: math math21a function integrations triple

]]> Fri, 04 Apr 2008 18:52:18 GMT http://www.slideshare.net/leingang/lesson-22-triple-integrals leingang@slideshare.net(leingang) Lesson 22: Triple Integrals leingang You knew this was coming. From double integrals over plane regions we move onward to triple integrals over solid regions. The visualization is a little harder, but the calculus not that much. <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson22tripleintegralsslides-1207335056955112-9-thumbnail-2?1207335138" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 9 months ago</p><p>You knew this was coming. From double integrals over plane regions we move onward to triple integrals over solid regions. The visualization is a little harder, but the calculus not that much.</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math21a">math21a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integrations">integrations</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/triple">triple</a> </p></div> math,math21a,function,integrations,triple, Lesson 22: Triple Integrals
View SlideShare presentation or Upload your own. (tags: math math21a)
]]> 771 0 http://cdn.slideshare.net/lesson22tripleintegralsslides-1207335056955112-9-thumbnail-2?1207335138 Lesson 23: Newton's Method http://www.slideshare.net/leingang/lesson-23-newtons-method

from: leingang 9 months ago

Newton's method allows us to find zeros of functions quickly.

Tags: math math1a function derivativative numerical

]]>

from: leingang 9 months ago

Newton's method allows us to find zeros of functions quickly.

Tags: math math1a function derivativative numerical

]]> Fri, 04 Apr 2008 18:34:55 GMT http://www.slideshare.net/leingang/lesson-23-newtons-method leingang@slideshare.net(leingang) Lesson 23: Newton's Method leingang Newton's method allows us to find zeros of functions quickly. <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson23newtonsmethodslides-1207337500095343-8-thumbnail-2?1207334095" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 9 months ago</p><p>Newton's method allows us to find zeros of functions quickly.</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math1a">math1a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/derivativative">derivativative</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/numerical">numerical</a> </p></div> math,math1a,function,derivativative,numerical, Lesson 23: Newton's Method
View SlideShare presentation or Upload your own. (tags: math math1a)
]]> 752 0 http://cdn.slideshare.net/lesson23newtonsmethodslides-1207337500095343-8-thumbnail-2?1207334095 Lesson 21: Surface Area http://www.slideshare.net/leingang/lesson-21-surface-area-336169

from: leingang 9 months ago

Tags: math21a math integration double calculus

]]>

from: leingang 9 months ago

Tags: math21a math integration double calculus

]]> Fri, 04 Apr 2008 10:02:07 GMT http://www.slideshare.net/leingang/lesson-21-surface-area-336169 leingang@slideshare.net(leingang) Lesson 21: Surface Area leingang <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson21surfaceareaslides-1207306901222605-8-thumbnail-2?1207303327" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 9 months ago</p><p></p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/math21a">math21a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integration">integration</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/double">double</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/calculus">calculus</a> </p></div> math21a,math,integration,double,calculus, Lesson 21: Surface Area
View SlideShare presentation or Upload your own. (tags: math21a math)
]]> 741 0 http://cdn.slideshare.net/lesson21surfaceareaslides-1207306901222605-8-thumbnail-2?1207303327 Lesson 22: Applications to Business and Economics http://www.slideshare.net/leingang/lesson-22-applications-to-business-and-economics

from: leingang 9 months ago

Calculus and economics have an interesting interplay. The laws of economics can be expressed in terms of calculus, and find extreme points can be a lucrative operation!

Tags: math math1a function derivative application

]]>

from: leingang 9 months ago

Calculus and economics have an interesting interplay. The laws of economics can be expressed in terms of calculus, and find extreme points can be a lucrative operation!

Tags: math math1a function derivative application

]]> Wed, 02 Apr 2008 17:50:27 GMT http://www.slideshare.net/leingang/lesson-22-applications-to-business-and-economics leingang@slideshare.net(leingang) Lesson 22: Applications to Business and Economics leingang Calculus and economics have an interesting interplay. The laws of economics can be expressed in terms of calculus, and find extreme points can be a lucrative operation! <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson22applicationstoeconomicsslides-1207158546688676-8-thumbnail-2?1207158627" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 9 months ago</p><p>Calculus and economics have an interesting interplay. The laws of economics can be expressed in terms of calculus, and find extreme points can be a lucrative operation!</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math1a">math1a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/derivative">derivative</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/application">application</a> </p></div> math,math1a,function,derivative,application, Lesson 22: Applications to Business and Economics
View SlideShare presentation or Upload your own. (tags: math math1a)
]]> 539 0 http://cdn.slideshare.net/lesson22applicationstoeconomicsslides-1207158546688676-8-thumbnail-2?1207158627 Lesson 20: Integration in Polar Coordinates http://www.slideshare.net/leingang/lesson-20-integration-in-polar-coordinates

from: leingang 9 months ago

sometimes a region (or a function) is more concisely described in polar coordinates. This can make integrating it a much easier task.

Tags: math math21a mulivariable calculus integration

]]>

from: leingang 9 months ago

sometimes a region (or a function) is more concisely described in polar coordinates. This can make integrating it a much easier task.

Tags: math math21a mulivariable calculus integration

]]> Tue, 01 Apr 2008 17:57:25 GMT http://www.slideshare.net/leingang/lesson-20-integration-in-polar-coordinates leingang@slideshare.net(leingang) Lesson 20: Integration in Polar Coordinates leingang sometimes a region (or a function) is more concisely described in polar coordinates. This can make integrating it a much easier task. <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson-20-integration-in-polar-coordinates-120707264429558-4-thumbnail-2?1207072645" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 9 months ago</p><p>sometimes a region (or a function) is more concisely described in polar coordinates. This can make integrating it a much easier task.</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math21a">math21a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/mulivariable">mulivariable</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/calculus">calculus</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/integration">integration</a> </p></div> math,math21a,mulivariable,calculus,integration, Lesson 20: Integration in Polar Coordinates
View SlideShare presentation or Upload your own. (tags: math math21a)
]]> 1243 0 http://cdn.slideshare.net/lesson-20-integration-in-polar-coordinates-120707264429558-4-thumbnail-2?1207072645 Lesson 21: Indeterminate forms and L'Hôpital's Rule http://www.slideshare.net/leingang/lesson-21-indeterminate-forms-and-lhpitals-rule

from: leingang 9 months ago

L'Hôpital's Rule allows us to evaluate many limits of indeterminate forms

Tags: math math1a function derivative indeterminate

]]>

from: leingang 9 months ago

L'Hôpital's Rule allows us to evaluate many limits of indeterminate forms

Tags: math math1a function derivative indeterminate

]]> Tue, 01 Apr 2008 16:31:27 GMT http://www.slideshare.net/leingang/lesson-21-indeterminate-forms-and-lhpitals-rule leingang@slideshare.net(leingang) Lesson 21: Indeterminate forms and L'Hôpital's Rule leingang L'Hôpital's Rule allows us to evaluate many limits of indeterminate forms <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson-21-indeterminate-forms-and-lhpitals-rule-1207071086436337-3-thumbnail-2?1207067487" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 9 months ago</p><p>L'Hôpital's Rule allows us to evaluate many limits of indeterminate forms</p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/math">math</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math1a">math1a</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/derivative">derivative</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/indeterminate">indeterminate</a> </p></div> math,math1a,function,derivative,indeterminate, Lesson 21: Indeterminate forms and L'Hôpital's Rule
View SlideShare presentation or Upload your own. (tags: math math1a)
]]> 767 0 http://cdn.slideshare.net/lesson-21-indeterminate-forms-and-lhpitals-rule-1207071086436337-3-thumbnail-2?1207067487 Lesson 20: (More) Optimization Problems http://www.slideshare.net/leingang/lesson-20-more-optimization-problems

from: leingang 9 months ago

What's the "best" design for a two-liter bottle? How do you get the best view of the Statue of Liberty?

Tags: optimization application derivative function math1a

]]>

from: leingang 9 months ago

What's the "best" design for a two-liter bottle? How do you get the best view of the Statue of Liberty?

Tags: optimization application derivative function math1a

]]> Fri, 21 Mar 2008 15:59:15 GMT http://www.slideshare.net/leingang/lesson-20-more-optimization-problems leingang@slideshare.net(leingang) Lesson 20: (More) Optimization Problems leingang What's the "best" design for a two-liter bottle? How do you get the best view of the Statue of Liberty? <div class='snap_preview'><img src="http://cdn.slideshare.net/lesson-20-more-optimization-problems-1206115154350153-5-thumbnail-2?1206115155" alt ="" style="border:1px solid #C3E6D8;float:right;" /> <p>from: <a href="http://www.slideshare.net/leingang">leingang</a> 9 months ago</p><p>What's the "best" design for a two-liter bottle? How do you get the best view of the Statue of Liberty? </p><p>Tags: <a style="text-decoration:underline;" href="http://slideshare.net/tag/optimization">optimization</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/application">application</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/derivative">derivative</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/function">function</a> <a style="text-decoration:underline;" href="http://slideshare.net/tag/math1a">math1a</a> </p></div> optimization,application,derivative,function,math1a, Lesson 20: (More) Optimization Problems
View SlideShare presentation or Upload your own. (tags: optimization application)
]]> 996 0 http://cdn.slideshare.net/lesson-20-more-optimization-problems-1206115154350153-5-thumbnail-2?1206115155
SlideShare | Get your Presentation Pack
]]>
SlideShare | Get your Presentation Pack
]]>
Get your own Widget
]]> http://cdn.slideshare.net/profile-photo-leingang?1226927849 Keeping the math department safe for regular undergraduates www.math.harvard.edu/~leingang/ http://cdn.slideshare.net/2007spring21afinalreviewiislides-1210359752386728-8-thumbnail?1210359999 leingang/final-review-ii Final Review II http://cdn.slideshare.net/lesson31divergencetheoremslides-1209653696964461-9-thumbnail?1209653734 leingang/lesson-31-the-divergence-theorem Lesson 31: The Diverge... http://cdn.slideshare.net/lesson30stokesstheoremslides-1209403591601618-8-thumbnail?1209403621 leingang/lesson-30-stokess-theorem Lesson 30: Stokes's Th...