Week 01: Limits and Continuity in Higher Dimensions
We could begin by saying that limits are important in calculus, but that would be amajor understatement.Without limits, calculus would not exist. Every single notion ofcalculus is a limit in one sense or another. For example,What is the slope of a curve? It is the limit of slopes of secant lines. What is the length of a curve? It is the limit of the lengths of polygonal paths inscribedin the curve. What is the area of a region bounded by a curve? It is the limit of the sum of areas ofapproximating rectangles.
see Pages 976
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Course Material
- Week 01: Limits and Continuity in Higher Dimensions
- Week 02: partial derivatives
- Week 03: Differentiability, Linearization
- Week 04: Multiple Integrals:
- Week 05: Triple Integrals
- Week 06: Laplace Transforms:
- Week 07: Second Shifting Theorem
- Week 08: Integral Equations and Laplace Transform
- Week 09: Mid Term Examination
- Week 10: Fourier Analysis:
- Week 11: Sturm-Liouville Problems
- Week 12: Power Series
- Week 13: Functions by Power Series
- Week 14: Taylor and Maclaurin Series
- Week 15: Laurent Series.
- Week 16: Singularities and Zeros
- Week 17: Residue Integration Method
- Week 18: Final Term Exam
- Chapters 18
- Department CS & IT
- Teacher
Dr. Ahmad Muhammad Mumtaz
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