Question Bank

Bisection, Newton, fixed-point, interpolation, quadrature, LU/iterative solvers and Runge-Kutta, each worked by hand and in NumPy/SciPy.

Selected topics: matrices & eigenvalues, ODEs, Laplace transforms, Fourier series, the heat/wave/Laplace PDEs and vector calculus.

Epsilon-delta rigor: completeness, sequences and series, continuity, differentiability, integration and uniform convergence.

From row reduction to eigenvalues, orthogonality, least squares and the SVD, computational and proof-based.

Learn to write proofs: logic, direct proof, contradiction, contrapositive, induction, sets, functions and cardinality.