Week  Topics  Study Materials  Materials 
1 
The Renaissance. Cardano. Solution of qubic equation. Complex numbers.



2 
Prelude to Modern Mathematics. Viete. Invention of logarithms.



3 
The time of Fermat and Descartes. Analytic geometry. Number theory. Probability.



4 
A transitional period. The limit concept.



5 
Newton and Leibnitz. The Prinzipia. The differential calculus.



6 
The Bernoulli Era. Probability and infinite series. Development of calculus.



7 
The Age of Euler. D’Alembert.



8 
Mathematics of the French Revolution. Lagrange. Monge. Laplace.



9 
Gauss and Cauchy. Noneuclidean geometry. Lobachevskiy. Abel, Jacobi, Galois.



10 
Projective geometry. Riemannian geometry. Felix Klein.



11 
Analysis. Riemann. Mathematical physics. Weierstrass. Cantor. Dedekind.



12 
British Algebra. Boole. Hamilton. Cayley. Grassmann. Algebraic geometry.



13 
Poincare and Hilbert. Topology. Aspect of Twentieth Century.



14 
Poincare and Hilbert. Topology. Aspect of Twentieth Century.



15 
Final 1st week



16 
Final 2nd week


