tag:blogger.com,1999:blog-48519957387425521452024-02-02T15:13:45.934-08:00Mathematics Hand Notes For B. Sc (honors)Mathematics Hand notes for B. Sc (honors) Math Students.Anonymoushttp://www.blogger.com/profile/01638069594292663708noreply@blogger.comBlogger9125tag:blogger.com,1999:blog-4851995738742552145.post-35568369005851397472012-10-20T14:54:00.000-07:002012-10-20T14:54:05.534-07:00Theory Of Matrices hand notes<div dir="ltr" style="text-align: left;" trbidi="on">
<div style="color: #8e7cc3;">
<ul style="text-align: left;">
<li><i><b>Theory Of Matrices:</b></i></li>
</ul>
<br />
<ul style="text-align: left;">
<li style="text-align: center;"><i><b>Different kinds of Matrices</b></i></li>
<li style="text-align: center;"><i><b>Adjoin, Inverse and rank of matrix</b></i></li>
<li style="text-align: center;"><i><b>Elementary Transformation</b></i></li>
<li style="text-align: center;"><i><b>Echelon , Canonical and Normal Forms</b></i></li>
<li style="text-align: center;"><i><b>System of Normal Form</b></i></li>
<li style="text-align: center;"><i><b>Vector Space</b></i></li>
<li style="text-align: center;"><i><b>linear Dependence and Independence</b></i></li>
<li style="text-align: center;"><i><b>Bilinear And Hermitian Forms</b></i></li>
<li style="text-align: center;"><i><b>Quadratic Forms</b></i></li>
<li style="text-align: center;"><i><b>Eigen values and Eigen Vectors</b></i></li>
</ul>
</div>
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<i><b><br /></b></i>
<br />
<ul style="text-align: left;">
<li><i><b><span style="color: yellow;">Download Link</span>: <a href="http://adf.ly/D4mnc" target="_blank">Matrices all Chapter</a></b></i></li>
</ul>
</div>
Anonymoushttp://www.blogger.com/profile/01638069594292663708noreply@blogger.comtag:blogger.com,1999:blog-4851995738742552145.post-81228284676754253122012-10-20T14:53:00.001-07:002012-10-20T14:53:11.300-07:00Geometry and Vector hand notes<div dir="ltr" style="text-align: left;" trbidi="on">
<div style="color: #9fc5e8;">
<ul style="text-align: left;">
<li><i><b>Geometry 2D:</b></i></li>
<li style="text-align: center;"><i><b>Pair of Straight lines3D </b></i></li>
</ul>
</div>
<div style="text-align: left;">
<i><b><br /></b></i></div>
<div style="text-align: left;">
<ul style="color: #e06666; text-align: left;">
<li><i><b>Geometry 3D:</b></i></li>
<li style="text-align: center;"><i><b>Direction cosine</b></i></li>
<li style="text-align: center;"><i><b>plane</b></i></li>
<li style="text-align: center;"><i><b>Shortest distance</b></i></li>
<li style="text-align: center;"><i><b>sphere</b></i></li>
</ul>
<br />
<ul style="text-align: left;">
<li style="text-align: left;"><i><b>Download link<u>: <a href="http://adf.ly/D4mc4" target="_blank"><span style="color: lime;">Pair of Straight Lines</span></a></u><u>, <a href="http://adf.ly/D4mfC" target="_blank"><span style="color: #674ea7;">3D-1</span></a>, <a href="http://adf.ly/D4mhn" target="_blank">3D-2</a></u></b></i></li>
</ul>
</div>
<div style="text-align: left;">
<ul style="color: #e06666; text-align: left;">
<li><i><b><u> Vector:</u></b></i></li>
</ul>
<br />
<ul style="color: #6aa84f; text-align: left;">
<li style="text-align: center;"><i><b><u>vector & scalar</u></b></i></li>
<li style="text-align: center;"><i><b><u>Dot and Cross product</u></b></i></li>
<li style="text-align: center;"><i><b><u> DIVERGANCE GRADIENT CURL</u></b></i></li>
</ul>
</div>
<div style="text-align: left;">
<i><b><u><br /></u></b></i></div>
<div style="text-align: left;">
<ul style="text-align: left;">
<li><i><b><u><span style="color: yellow;">Download Link: <a href="http://adf.ly/D4mjw" target="_blank">Vector</a></span></u></b></i></li>
</ul>
</div>
</div>
Anonymoushttp://www.blogger.com/profile/01638069594292663708noreply@blogger.comtag:blogger.com,1999:blog-4851995738742552145.post-11906478986503812852012-10-20T14:52:00.001-07:002012-10-20T14:52:20.032-07:00Calculus hand notes<div dir="ltr" style="text-align: left;" trbidi="on">
<ul style="text-align: left;">
<li><i><b>Calculus </b></i>- 1: <b><i>Differentiation:</i></b></li>
<li style="text-align: center;"><b><i> </i></b>1 function</li>
<li style="text-align: center;">2 Limit</li>
<li style="text-align: center;">3 CONTINUITY</li>
<li style="text-align: center;">4 Differentiation calculus iv(A)</li>
<li style="text-align: center;">5 Differentiation iv (B)</li>
<li style="text-align: center;">6 SUCCESSIVE EXAM 5(A)</li>
<li style="text-align: center;">7 Successive differentiation 5(B)</li>
<li style="text-align: center;"> 8 Expansion 0f function</li>
<li style="text-align: center;">9 Maximum and minimum<br />
</li>
<li style="text-align: center;">10 Indeterminate Form</li>
<li style="text-align: center;"> 11 Partial differention equation</li>
<li style="text-align: center;"> 12 tangent normal (a)</li>
<li style="text-align: center;"> 13 Tangent and normal (b)</li>
<li style="text-align: center;"> ASYMPTOTES</li>
</ul>
<ul style="text-align: left;">
<li><b><i>Download link:<a href="http://adf.ly/D4mNW" target="_blank">part 1</a><a href="http://adf.ly/D4mQd" target="_blank">part 2</a> <u> <a href="http://adf.ly/D4lxJ" target="_blank">Part 3</a>, <a href="http://adf.ly/D4lz2" target="_blank">Part 4</a></u></i></b></li>
</ul>
<b><i> </i></b>
<br />
<div style="text-align: left;">
<ul style="text-align: left;">
<li><b><i> </i></b><i><b>Calculus </b></i>- 1 <b><i>Integration : </i></b></li>
<li style="text-align: center;"><b><i> Integral calculus I</i></b></li>
<li style="text-align: center;"><b><i> Integral calculus 2(A)</i></b></li>
<li style="text-align: center;"><b><i> Integral calculus 2(B)</i></b></li>
<li style="text-align: center;"><b><i>CALCULUS III</i></b></li>
<li style="text-align: center;"><b><i> Integral calculus IV</i></b></li>
<li style="text-align: center;"><b><i> Integral calculus V</i></b></li>
<li style="text-align: center;"><b><i> INTEGRAL CALCULUS 6(A)</i></b></li>
<li style="text-align: center;"><b><i>INTEGRAL CALCULUS 6(B) </i></b></li>
<li style="text-align: center;"><b><i> REDUCTION FORMULA</i></b></li>
<li style="text-align: center;"><b><i> Area length volume</i></b></li>
<li style="text-align: left;"><b><i>Download link: , <a href="http://adf.ly/D4m1O" target="_blank">Part 1</a><a href="http://adf.ly/D4mU8" target="_blank">part 2</a></i></b> </li>
</ul>
</div>
</div>
Anonymoushttp://www.blogger.com/profile/01638069594292663708noreply@blogger.comtag:blogger.com,1999:blog-4851995738742552145.post-74143819080125418542012-10-20T14:51:00.001-07:002012-10-20T14:51:24.766-07:00Differential equation hand notes<div dir="ltr" style="text-align: left;" trbidi="on">
<div style="text-align: left;">
<ul style="text-align: left;">
<li><b><i>Differential equation part 1</i></b>:</li>
<li style="text-align: center;">1-General solution</li>
<li style="text-align: center;">2-seperable equation</li>
<li style="text-align: center;">3-homogenious equation</li>
<li style="text-align: center;">4-Non homogeneous</li>
<li style="text-align: center;">5-exact differential equation</li>
<li style="text-align: center;">6-integrating factor</li>
<li style="text-align: center;">7-Liner and bernoulie</li>
<li style="text-align: center;">8-Trajectories</li>
<li style="text-align: left;"><b><i>Download Link</i></b>: <a href="http://adf.ly/D4lld" target="_blank">Part 1</a></li>
</ul>
</div>
<div style="text-align: left;">
<br /></div>
<div style="text-align: left;">
<ul style="text-align: left;">
<li><b><i>Differential equation part 2</i></b>:</li>
<li style="text-align: center;"> 9-Singular no and Frobenizus</li>
<li style="text-align: center;"> 10-Higher order</li>
<li style="text-align: center;"> 11-Undeterminent coefficient</li>
<li style="text-align: center;"> 12-Variation of parameter</li>
</ul>
<ul style="text-align: left;">
<li><i><b>Download link: <a href="http://adf.ly/D4lnZ" target="_blank">Part 2</a></b></i> </li>
</ul>
</div>
<div style="text-align: left;">
<br /></div>
<div style="text-align: left;">
<ul style="text-align: left;">
<li><b><i>Differential equation part 3</i></b>:</li>
<li style="text-align: center;">13-Operator method</li>
<li style="text-align: center;">14-The Cauchy Euler method</li>
<li style="text-align: center;">15-Power series</li>
</ul>
</div>
<div style="text-align: left;">
<ul style="text-align: left;">
<li><b><i>Download Link</i></b>: <a href="http://adf.ly/D4lpK" target="_blank">Part 3</a></li>
</ul>
</div>
</div>
Anonymoushttp://www.blogger.com/profile/01638069594292663708noreply@blogger.comtag:blogger.com,1999:blog-4851995738742552145.post-71468711356294148112012-10-20T14:50:00.001-07:002012-10-20T14:50:41.662-07:00Algebra and Trigonometry hand notes<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<ul style="color: #660000; text-align: left;">
<li><b><i>Algebra Part -1:</i></b></li>
</ul>
<div style="text-align: center;">
<ul>
<li><b><i>Theory of Equations Chapter (A, B, C, D, E)</i></b></li>
<li><b><i>Determinant chapter </i></b></li>
<li style="text-align: left;"><b><i> <span style="color: #20124d;"> Download Link</span>: <a href="http://adf.ly/D4lc9" target="_blank">Algebra Part - 1</a></i></b></li>
</ul>
</div>
<div style="text-align: center;">
<b><i><br /></i></b></div>
<div>
<br />
<ul style="text-align: left;">
<li style="color: red;"><b><i>Algebra Part - 2:</i></b></li>
<li style="text-align: center;"><b><i> </i><i>Algebra Summation of series chapter (A, B)</i></b></li>
<li style="text-align: center;"><b><i>Difference equation chapter</i></b></li>
<li style="text-align: center;"><b><i>Inequality chapter (A, B)</i></b></li>
<li style="text-align: left;"><b><i><span style="color: #20124d;">Download link</span>:</i></b> <b><i><a href="http://adf.ly/D4lKL" target="_blank">Algebra Part - 2</a></i></b></li>
</ul>
</div>
<div style="text-align: left;">
<br /></div>
<div style="text-align: left;">
<ul style="text-align: left;">
<li><b style="color: red;"><i>Trigonometry Part 1 and Part 2</i></b>:</li>
<li style="text-align: center;"><b><i>1 De-moivr's theorem</i></b></li>
<li style="text-align: center;"><b><i>2 IMPORTANT DEDUCTION</i></b></li>
<li style="text-align: center;"><b><i>3 Complex argument</i></b></li>
<li style="text-align: center;"><b><i> </i></b>4 GRAGORY'S SERIES</li>
<li style="text-align: center;">5 Summation of series</li>
<li style="text-align: center;">6 HYPERBOLIC FUNCTION</li>
<li style="text-align: left;"><b style="color: #20124d;"><i>Download Link</i></b>:<b><i> <a href="http://adf.ly/D4lWA" target="_blank">Part - 1</a></i></b> <i>and </i><a href="http://adf.ly/D4lYl" target="_blank">Part 2</a></li>
</ul>
</div>
</div>
Anonymoushttp://www.blogger.com/profile/01638069594292663708noreply@blogger.comtag:blogger.com,1999:blog-4851995738742552145.post-10415442997449502372012-10-02T19:56:00.002-07:002012-10-02T19:56:29.073-07:00Math Hand Notes<div dir="ltr" style="text-align: left;" trbidi="on">
<div style="color: blue; text-align: center;">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj9Vy2YnaGnyt3fAhpxpmhsSLBmGcvQZFL3r1zNs_Amd6gMOjAK4bZX5tOxo5Yq_XvbBlFVvg3SdLnARZLkhqFKH-tWMnD0xzzLoM5ccTqe3F2o-r1tHLiQCe7-ybvvczJXtRPs-MBiY8c/s1600/1111111111.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="hand notes" border="0" height="160" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj9Vy2YnaGnyt3fAhpxpmhsSLBmGcvQZFL3r1zNs_Amd6gMOjAK4bZX5tOxo5Yq_XvbBlFVvg3SdLnARZLkhqFKH-tWMnD0xzzLoM5ccTqe3F2o-r1tHLiQCe7-ybvvczJXtRPs-MBiY8c/s320/1111111111.jpg" width="320" /></a></div>
<b><i> </i></b><br />
<br />
<br />
<br />
<b><i>(N.B): All Notes For B. Sc (honors) in Mathematics.</i></b></div>
<div style="text-align: center;">
<ol>
<li style="color: #cc0000;"><b><i><span style="color: #351c75;">Algebra Hand Notes</span><span style="color: #351c75;">:</span> <a href="http://hand-notes.blogspot.com/p/algebra-and-trigonometry-hand-notes.html" target="_blank">Click Here</a> </i></b></li>
<li style="color: #cc0000;"><b><i><span style="color: #0b5394;">Trigonometry Hand Notes</span>: <a href="http://hand-notes.blogspot.com/p/algebra-and-trigonometry-hand-notes.html" target="_blank">Click Here</a> </i></b></li>
<li style="color: #cc0000;"><b><i>Calculus Hand Notes: <a href="http://hand-notes.blogspot.com/p/calculus-hand-notes.html" target="_blank">Click Here</a> </i></b> </li>
<li style="color: #cc0000;"><b><i><span style="color: #073763;">Differential equation Hand Notes</span>: <a href="http://hand-notes.blogspot.com/p/differential-equation-hand-notes.html" target="_blank">Click here</a></i></b></li>
<li style="color: #cc0000;"><b><i><span style="color: #0b5394;">Geometry Hand notes</span><span style="color: #0b5394;">:</span> <a href="http://hand-notes.blogspot.com/p/geometry-and-vector.html" target="_blank">Click here</a></i></b></li>
<li style="color: #cc0000;"><b><i><span style="color: #0b5394;">Vector hand notes</span>: <a href="http://hand-notes.blogspot.com/p/geometry-and-vector.html" target="_blank">Click here</a> </i></b></li>
<li><b><i style="color: #cc0000;"><span style="color: #0b5394;">Matrices hand notes</span><span style="color: #0b5394;"> </span>: <a href="http://hand-notes.blogspot.com/p/theory-of-matrices.html" target="_blank">Click here</a> </i><i> </i></b></li>
</ol>
</div>
</div>
Anonymoushttp://www.blogger.com/profile/01638069594292663708noreply@blogger.comtag:blogger.com,1999:blog-4851995738742552145.post-61927399473419947242012-09-19T17:39:00.001-07:002012-09-19T17:39:14.873-07:00Problem-2: Find the equation of the bisectors of the angle between the pair of lines represented by (ax^2+2hxy+by^2) =0.<div dir="ltr" style="text-align: left;" trbidi="on">
<u><i><b>Solution</b></i></u>: <b><i>let, (ax^2+2hxy+by^2) represents two straight lines,</i></b><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="http://3.bp.blogspot.com/-oOMH6Ey1w4c/UFB4JreWlXI/AAAAAAAAADY/d8phE1XdbmY/s1600/Eqn1.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="2D geometry" border="0" height="26" src="http://3.bp.blogspot.com/-oOMH6Ey1w4c/UFB4JreWlXI/AAAAAAAAADY/d8phE1XdbmY/s200/Eqn1.gif" width="200" /></a></div>
<b><i>Then,</i></b><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="http://2.bp.blogspot.com/-oyma_AVTLf4/UFB4Sy0saLI/AAAAAAAAADg/QiUK8w9JGfM/s1600/coordinate+geometry2.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="2D geometry" border="0" height="43" src="http://2.bp.blogspot.com/-oyma_AVTLf4/UFB4Sy0saLI/AAAAAAAAADg/QiUK8w9JGfM/s200/coordinate+geometry2.gif" width="200" /></a></div>
<b><i>Now, the equation of bisectors of the angle between the lines,</i></b><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="http://2.bp.blogspot.com/-yB3DUcTwOCk/UFB4gxv_zEI/AAAAAAAAADo/59xCUwiHJ3k/s1600/coordinate+geometry4.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="2D geometry" border="0" height="322" src="http://2.bp.blogspot.com/-yB3DUcTwOCk/UFB4gxv_zEI/AAAAAAAAADo/59xCUwiHJ3k/s400/coordinate+geometry4.gif" width="400" /></a></div>
<br />
<br />
<br />
<br />
<b><i>This is the required equation. (<u>Ans</u>.)</i></b><br />
<br />
<br />
<br /></div>
Anonymoushttp://www.blogger.com/profile/01638069594292663708noreply@blogger.comtag:blogger.com,1999:blog-4851995738742552145.post-79078429888140404402012-09-19T17:38:00.000-07:002012-09-19T17:38:32.631-07:00Problem-1: Find the angle between the straight lines ax^2+2hxy+by^2=0. (The axes are assumed to be rectangular).<div dir="ltr" style="text-align: left;" trbidi="on">
<b><i><u>Solution</u>: Let, (ax^2+2hxy+by^2)=0 represent two straight lines,</i></b><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="http://4.bp.blogspot.com/-blP2TJVu8Pc/UFBdgKKWWrI/AAAAAAAAACo/lynGOZLZ1W0/s1600/Eqn1.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="2D Geometry" border="0" height="26" src="http://4.bp.blogspot.com/-blP2TJVu8Pc/UFBdgKKWWrI/AAAAAAAAACo/lynGOZLZ1W0/s200/Eqn1.gif" width="200" /></a></div>
<i><b>Then,</b></i><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="http://1.bp.blogspot.com/-4yPcS81Cu_Q/UFBecMfD7dI/AAAAAAAAAC4/ESCeBNzqZWI/s1600/coordinate+geometry2.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="2D Geometry" border="0" height="43" src="http://1.bp.blogspot.com/-4yPcS81Cu_Q/UFBecMfD7dI/AAAAAAAAAC4/ESCeBNzqZWI/s200/coordinate+geometry2.gif" width="200" /></a></div>
<b><i>Let, θ be the angle between the lines,</i></b><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="http://4.bp.blogspot.com/-blP2TJVu8Pc/UFBdgKKWWrI/AAAAAAAAACo/lynGOZLZ1W0/s1600/Eqn1.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="2D Geometry" border="0" height="26" src="http://4.bp.blogspot.com/-blP2TJVu8Pc/UFBdgKKWWrI/AAAAAAAAACo/lynGOZLZ1W0/s200/Eqn1.gif" width="200" /></a></div>
<b><i> Then,</i></b><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="http://2.bp.blogspot.com/-15YvY6YUVVg/UFBg5WGcA1I/AAAAAAAAADI/WrTr7Va1YP4/s1600/coordinate+geometry3.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="2D Geometry" border="0" height="200" src="http://2.bp.blogspot.com/-15YvY6YUVVg/UFBg5WGcA1I/AAAAAAAAADI/WrTr7Va1YP4/s200/coordinate+geometry3.gif" width="200" /></a></div>
<b><i> This is the required angle. (<u>Ans</u>).</i></b></div>
Anonymoushttp://www.blogger.com/profile/01638069594292663708noreply@blogger.comtag:blogger.com,1999:blog-4851995738742552145.post-83930814805914822642012-09-19T17:37:00.000-07:002012-09-19T17:37:17.803-07:00 What is plane Geometry?<div dir="ltr" style="text-align: left;" trbidi="on">
<b><i>Definition: Plane coordinates pure mathematics is that branch of pure mathematics within which we have a tendency to use 2 numbers, known as coordinates to point the position of a degree in an exceedingly plane. Co-ordinate pure mathematics is additional powerful than standard pure mathematics, as a result of we will use the ways of pure mathematics in it.</i></b><br />
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-8c0lGDXRHC4/UE_WZ3h0fpI/AAAAAAAAABo/-oUui_zsUF4/s1600/sshot-1.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="plane geometryt" border="0" height="198" src="http://3.bp.blogspot.com/-8c0lGDXRHC4/UE_WZ3h0fpI/AAAAAAAAABo/-oUui_zsUF4/s320/sshot-1.png" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Plane Geometry</td></tr>
</tbody></table>
<br /></div>
Anonymoushttp://www.blogger.com/profile/01638069594292663708noreply@blogger.com