This document provides instructions and questions for two individual assignments and one group assignment in Mathematics IV. The first individual assignment asks students to find the least positive and most positive roots of a given function using bisection and Newton-Raphson methods. The second individual assignment involves solving a system of linear equations using Doolittle method and approximating an integral using trapezoidal and Simpson's rules. The group assignment involves solving a system of linear equations using Gauss-Seidel iteration, completing values in a table, interpolating using Lagrange and Newton divided-difference methods, and solving a first-order initial value problem using Euler's and Runge-Kutta methods.