mth301(handouts) - Calculus II MTH301 Virtual University of...

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© Copyright Virtual University of Pakistan 1 Calculus II MTH301 Virtual University of Pakistan Knowledge beyond the boundaries
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© Copyright Virtual University of Pakistan 2 Table of Contents Lecture No. 1 Introduction ……………………….………………………………...3 Lecture No. 2 Values of function ……………………… ……………………………..7 Lecture No. 3 Elements of three dimensional geometry ………….…………………..11 Lecture No. 4 Polar co-ordinates ………….…………………………………………..17 Lecture No. 5 Limits of multivariable function……...……………………………….24 Lecture No. 6 Geometry of continuous functions ……..…..…………………………..31 Lecture No. 7 Geometric meaning of partial deri.vative ….…………………………...38 Lecture No. 8 Euler theorm……………………...……………………………………. 42 Lecture No .9 Examples ………………………..……………………………………..48 Lecture No. 10 Introduction to vectors ……….. .………………..……………………..53 Lecture No. 11 The triple scalar product or Box product ………………….…………..62 Lecture No. 12 Tangent Planes to the surfaces ………………………………………69 Lecture No. 13 Noarmal Lines ….……...……………………………………………76 Lecture No. 14 Extrema of function of two variables……… ……………………..…..83 Lecture No. 15 Examples …….…………………………… …..……………………..87 Lecture No. 16 Extreme Valued Theorm ……..………… ………………..…………..93 Lecture No. 17 Example………………………………… ……………………………98 Lecture No. 18 Revision Of Integration …………… … …………………………..105 Lecture No. 19 Use of integrals……………………...………………………………..109 Lecture No. 20 Double integral for non-rectangular region ……………………..113 Lecture No. 21 Examples …………………...………………………………………..117 Lecture No. 22 Examples ……………..……………………………………………..121 Lecture No. 23 Polar co-ordinate systems ….………………………………………..124 Lecture No. 24 Sketching ………..…………………………………………………..128 Lecture No. 25 Double Integrals in Polar co-ordinates ….…………….………...…...133 Lecture No. 26 Examples …………..………………………………………….……..137 Lecture No. 27 Vector Valued Functions ………………………………………..…140 Lecture No. 28 Limits Of Vector Valued Functions ……………………………..144 Lecture No. 29 Change Of Parameter ………………….………… ……………….150 Lecture No. 30 Exact Differential …………………………………………………..155 Lecture No. 31 Line Intagral ………………………………………...……………...161
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