Course Outline
MTH102: Analysis in one variable
[Cr:3, Lc:2, Tt:1, Lb:0]
Course Outline
- The real number system, completeness axiom, complex numbers.
- Sequences, limits, convergence, series.
- Polynomials, rational functions, continuous functions.
- Trigonometric, exponential, logarithmic and hyperbolic functions.
- Differentiation, mean value theorem, Taylor’s theorem.
- Uniform convergence, power series.
- Riemann integral, fundamental theorem of calculus.
- Fourier series.
Recommended Reading
- R. R. Goldberg, Methods of Real Analysis, Wiley (1970).
- K. A. Ross, Elementary Analysis, The Theory of Calculus, Springer (2004).
- T. M. Apostol, Calculus, Blaisdell Publishing Company, 1961.
- S. Shirali and H. L. Vasudeva, Mathematical Analysis, Alpha Science International Ltd. (2006).
Last modified: Tuesday, January 8, 2019, 12:19 PM