Week 1: Introduction to real number system, complex numbers.
Introduction to real number system: decimal representation of rational numbers and irrational numbers, properties of real numbers, order properties, complex numbers: operation on complex numbers, properties of the funcdamental operations on complex numbers, geometrical representation of complex numbers, find real and imaginary parts.
https://archive.org/details/fundamentalsoftr00swok/page/8 (Page No. 1-20)
https://drive.google.com/file/d/1DLur8SbKFClV-Adeta5CQyQF67U1_g-z/view (Page No. 1-20)
Course Material
- Week 1: Introduction to real number system, complex numbers.
- Week 2: Introduction to sets, set operation
- Week 3: Function and its types
- Week 4: Introduction to matrices, types of matrices
- Week 5: Determinants, Matrix inverse
- Week 6: System of linear equations, Cramer's rule
- Week 7: Quadratics equation; Solution of quadratic equations, equation reducible to quadratic equations
- Week 8: Cube root of unity, relation between roots and coefficients of quadratic equations
- Week 09: Mid Term Exam
- Week 10: Solution of two equations involving two variables
- Week 11: Sequence, Arithmetic sequence, Arithmetic Mean
- Week 12: Geometric sequence and Geometric Mean
- Week 13: Harmonic sequence and Harmonic Mean
- Week 14: Introduction to Mathematical Induction, Binomial Theorem with rational and irrational indices
- Week 15: Fundamentals of Trigonometry
- Week 16: Eigenvalues and eigenvectors, Gamma and Beta function with applications
- Week 17: Taylor series, Fourier transform, Inverse series
- Week 18: Final Term Exam
- Chapters 18
- Department Statistics
- Teacher
Iqrar Ansari
