Topics: Computer Algorithms, pseudocode conventions, recursive algorithms, performance analysis, randomized algorithms, primality testing, elementary data structures, binary search trees, cost amortization, prority queues, sets, graphs, graph representation, merge sort, quick sort, Strassen's matrix multiplication, convex hull, greedy method, knapsack problem, tree vertex splitting, prim's algorithm, dynamic programming, reliability design, backtracking, graph coloring, least cost search, algebraic problems, fast Fourier transform, lower bound theory, comparison trees, ordered searching, Cook's theorem, approximation algorithms, absolute algorithms, polynomial time approximation schemes, mesh algorithms, packet routing, hyper algorithms, PPR routing

Topics: numerical analysis, number system, interpolation, Fixed-Point Iteration, Polynomial Equations, Real Roots, Complex Roots, Müller’s Method, Triangular Factorization, Determinants, Eigenvalue Problem, Backward-Error Analysis, determinants, Unconstrained Optimization, approximation, data fitting, Orthogonal Polynomials, Fast Fourier Transforms, Piecewise-Polynomial Approximation, differentiation, integration, numerical differentiation, numerical integration, Romberg Integration, Simple Difference Equations, Boundary Value Problems