Mathematics Tutorial

[Shane]

Video Tutorials on Mathematics

PART 1
1 - Real Numbers
[media]http://www.youtube.com/watch?v=0lzOAW8yMTc[/media]

2 - Sequences I
[media]http://www.youtube.com/watch?v=XQF0ArAVBNs[/media]

3 - Sequences II
[media]http://www.youtube.com/watch?v=F5gVTCm-P14[/media]

4 - Sequences III
[media]http://www.youtube.com/watch?v=F5gVTCm-P14[/media]

5 - Continuous Function
[media]http://www.youtube.com/watch?v=GMyQRRmUSWY[/media]

6 - Properties of Continuous Function
[media]http://www.youtube.com/watch?v=Pocxmg2YQbA[/media]

7 - Uniform Continuity
[media]http://www.youtube.com/watch?v=iK6XuXgXnjk[/media]

8 - Differentiable Functions
[media]http://www.youtube.com/watch?v=UCe8ZGZzO5Y[/media]

9 - Mean Value Theorem
[media]http://www.youtube.com/watch?v=lxF2rqry2LM[/media]

10 - Maxima - Minima
[media]http://www.youtube.com/watch?v=kl3SN3xndI8[/media]

11 - Taylor's Theorem
[media]http://www.youtube.com/watch?v=-xvTzwot9MI[/media]

12 - Curve Sketching
[media]http://www.youtube.com/watch?v=5U3eTYndDZA[/media]

13 - Infinite Series I
[media]http://www.youtube.com/watch?v=qNZxf0j41tw[/media]

14 - Infinite Series II
[media]http://www.youtube.com/watch?v=SF92HN_an0c[/media]

15 - Tests of Convergence
[media]http://www.youtube.com/watch?v=4EYko9rdF7g[/media]

16 - Power Series
[media]http://www.youtube.com/watch?v=AqHxSRul-Ck[/media]

17 - Riemann Integral
[media]http://www.youtube.com/watch?v=F1ojdxtN__4[/media]

18 - Riemann Integrable Functions
[media]http://www.youtube.com/watch?v=QWksDaGZbYc[/media]

19 - Applications of Riemann Integral
[media]http://www.youtube.com/watch?v=hNOnzg-TcVs[/media]

20 - Length of a curve
[media]http://www.youtube.com/watch?v=VUnyktun6AA[/media]

21 - Line Integrals
[media]http://www.youtube.com/watch?v=-7C0pLwGx1w[/media]

22 - Functions of Several Variables
[media]http://www.youtube.com/watch?v=PA82F91e1vs[/media]

23 - Differentiation
[media]http://www.youtube.com/watch?v=cY6YSZsCR5A[/media]

24 - Derivatives
[media]http://www.youtube.com/watch?v=795pp9NGOdY[/media]

25 - Mean Value Theorem
[media]http://www.youtube.com/watch?v=yzYGnwxAT5s[/media]

26 - Maxima Minima
[media]http://www.youtube.com/watch?v=EdVHKdy0_yU[/media]

27 - Method of Lagrange Multipliers
[media]http://www.youtube.com/watch?v=xjUcaH6dCN0[/media]

28 - Multiple Integrals
[media]http://www.youtube.com/watch?v=VMbJ1XyWWnU[/media]

29 - Surface Integrals
[media]http://www.youtube.com/watch?v=KgGzYQaj5q0[/media]

30 - Green's Theorem
[media]http://www.youtube.com/watch?v=1aS7nTIYMx0[/media]

31 - Stokes Theorem
[media]http://www.youtube.com/watch?v=1qLb0B40YnA[/media]

32 - Guass Divergence Theorem
[media]http://www.youtube.com/watch?v=qSeYksmwjZc[/media]

PART 2
1 - Matrix Algebra Part - 1
[media]http://www.youtube.com/watch?v=hbk01uhgsos[/media]

2 - Matrix Algebra Part - 2
[media]http://www.youtube.com/watch?v=d5kwH0EJt6U[/media]

3 - Determinants Part - 1
[media]http://www.youtube.com/watch?v=e66c2KO3NMM[/media]

4 - Determinants Part - 2
[media]http://www.youtube.com/watch?v=Chx-XvHD3IU[/media]

5 - Solution of System Equation
[media]http://www.youtube.com/watch?v=iMg1N837PXg[/media]

6 - Linear Algebra Part - 1
[media]http://www.youtube.com/watch?v=VE0xIpf11Qo[/media]

7 - Linear Algebra part - 2
[media]http://www.youtube.com/watch?v=ExFD0K3c9UA[/media]

8 - Linear Algebra Part - 3
[media]http://www.youtube.com/watch?v=6KhMWf91pgw[/media]

9 - Linear Algebra Part - 4
[media]http://www.youtube.com/watch?v=09JpkpZMfQ4[/media]

10 - Inner Product
[media]http://www.youtube.com/watch?v=hwUu4mW0b90[/media]

11 - Linear Transformation Part - 1
[media]http://www.youtube.com/watch?v=FQkVYn5Wxuo[/media]

12 - Linear Transformation Part - 2
[media]http://www.youtube.com/watch?v=OG4qdRs9fp4[/media]

13 - Eigenvalues & Eigenvectors Part - 1
[media]http://www.youtube.com/watch?v=P2pL5VThrzQ[/media]

14 - Eigenvalues & Eigenvectors Part - 2
[media]http://www.youtube.com/watch?v=g27PxYy8UCw[/media]

15 - Quadratic Forms
[media]http://www.youtube.com/watch?v=yuE86XeGhEA[/media]

16 - Diagonalization Part - 1
[media]http://www.youtube.com/watch?v=MH62IkQ-z-Y[/media]

17 - Diagonalization Part - 2
[media]http://www.youtube.com/watch?v=Pk_8RsUVMio[/media]

18 - Solution of System of Linear Equation
[media]http://www.youtube.com/watch?v=3ZycmK2CQqA[/media]

19 - Functions of Complex Variables Part - 1
[media]http://www.youtube.com/watch?v=dXYWRWNkYxA[/media]

20 - Functions of Complex Variables Part - 2
[media]http://www.youtube.com/watch?v=SUPY8zTIXKY[/media]

21 - Taylor Series
[media]http://www.youtube.com/watch?v=Bg0m1f-McJM[/media]

22 - Laurent Series
[media]http://www.youtube.com/watch?v=D-yXAR3sd3I[/media]

23 - Rank of a Matrix
[media]http://www.youtube.com/watch?v=GU-pJMxABQ0[/media]

24 - Complex Numbers & Their Geometrical Representation
[media]http://www.youtube.com/watch?v=o7E5-pTBw48[/media]

PART3
1 - Solution of ODE of First Order and First Degree
[media]http://www.youtube.com/watch?v=P7gVp333B6M[/media]

2 - Linear Differential Equations of the First Order
[media]http://www.youtube.com/watch?v=1FnBPmEWpus[/media]

3 - Approximate Solution of An Initial Value
[media]http://www.youtube.com/watch?v=a-wP1UzebL4[/media]

4 - Series Solution of Homogeneous Linear
[media]http://www.youtube.com/watch?v=dgDIQ0VA0pA[/media]

5 - Series Solution of Homogeneous Linear
[media]http://www.youtube.com/watch?v=SoBs-YGQUdc[/media]

6 - Bessel Functions and Their Properties
[media]http://www.youtube.com/watch?v=6n5QyYMe9U0[/media]

7 - Bessel Functions And Their Properties(Contd..)
[media]http://www.youtube.com/watch?v=HpvRsiPltOo[/media]

8 - Laplace Transformation
[media]http://www.youtube.com/watch?v=DPg5T-YBQjU[/media]

9 - Laplace Transformation(contd..)
[media]http://www.youtube.com/watch?v=7fJeo1fylKI[/media]

10 - Applications Of Laplace Transformation
[media]http://www.youtube.com/watch?v=wVVjrCABMxw[/media]

11 - Applications Of Laplace Transformation(Contd.)
[media]http://www.youtube.com/watch?v=SI-uTIbmzM4[/media]

12 - One Dimensional Wave Equation
[media]http://www.youtube.com/watch?v=Fh8m6ZdFaqU[/media]

13 - One Dimensional Heat Equation
[media]http://www.youtube.com/watch?v=GmIcbqdvIgc[/media]