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Mathematics I
Mathematics I
Curriculum
1 Section
32 Lessons
10 Weeks
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Mathematics I
32
2.1
Lecture 1: Real Number
2.2
Lecture 2: Sequences I
2.3
Lecture 3: Sequences II
2.4
Lecture 4: Sequences III
2.5
Lecture 5: Continuous Function
2.6
Lecture 6: Properties of Continuous function
2.7
Lecture 7: Uniform Continuity
2.8
Lecture 8: Differentiable function
2.9
Lecture 9: Mean Value Theorems
2.10
Lecture 10: Maxima – Minima
2.11
Lecture 11: Taylors Theorem
2.12
Lecture 12: Curve Sketching
2.13
Lecture 13: Infinite Series I
2.14
Lecture 14: Infinite Series II
2.15
Lecture 15: Tests of Convergence
2.16
Lecture 16: Power Series
2.17
Lecture 17: Riemann integral
2.18
Lecture 18: Riemann Integrable functions
2.19
Lecture 19: Applications of Riemann Integral
2.20
Lecture 20: Length of a curve
2.21
Lecture 21: Line integrals
2.22
Lecture 22: Functions of several variables
2.23
Lecture 23: Differentiation
2.24
Lecture 24: Derivatives
2.25
Lecture 25: Mean Value Theorem
2.26
Lecture 26: Maxima Minima
2.27
Lecture 27: Method of Lagrange Multipliers
2.28
Lecture 28: Multiple Integrals
2.29
Lecture 29 – Surface Integrals
2.30
Lecture 30: Greens Theorem
2.31
Lecture 31: Stokes Theorem
2.32
Lecture 32: Guass Divergence Theorem
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