Home Teaching Calculus Website Precalculus Website Differ Eq and Lin Alg		Problems from Midterms and Finals
Easy   S	Average   S	Hard   S	Very Hard	All	Section 1.2	First-order linear differential equations
Easy   S	Average   S	Hard   S	Very Hard	All	Section 1.4	Separable equations
Easy	Average	Hard	Very Hard	All	Section 1.9 (opt)	Exact equations, and why we cannot solve very many differential equations
Easy	Average	Hard	Very Hard	All	Section 1.10 (opt)	The existence-uniqueness theorem; Picard iteration
Easy   S	Average   S	Hard   S	Very Hard   S	All	Section 2.1	Algebraic properties of solutions
Easy   S	Average   S	Hard	Very Hard	All	Section 2.2	Linear equations with constant coefficients
Easy   S	Average   S	Hard	Very Hard	All	Section 2.3	The nonhomogeneous equation
Easy	Average	Hard	Very Hard	All	Section 2.4 (opt)	The method of variation of parameters
Easy   S	Average   S	Hard   S	Very Hard   S	All	Section 2.5	The method of judicious guessing
Easy	Average	Hard	Very Hard	All	Section 2.8 (opt)	Series solutions
Easy   S	Average   S	Hard	Very Hard	All	Section 3.1	Algebraic properties of solutions of linear systems (part 1)
Easy   S	Average   S	Hard   S	Very Hard   S	All	Section 3.1	Algebraic properties of solutions of linear systems (part 2 - Systems)
Easy	Average	Hard	Very Hard	All	Section 3.2	Vector spaces
Easy	Average	Hard	Very Hard	All	Section 3.3	Dimension of a vector space
Easy	Average	Hard	Very Hard	All	Section 3.4	Applications of linear algebra to differential equations
Easy	Average	Hard	Very Hard	All	Section 3.5	The theory of determinants
Easy	Average	Hard	Very Hard	All	Section 3.6	Solutions of simultaneous linear equations
Easy	Average	Hard	Very Hard	All	Section 3.7	Linear transformations (systems)
Easy	Average	Hard	Very Hard	All	Section 3.7	Linear transformations (transformations)
Easy	Average	Hard	Very Hard	All	Section 3.7	Linear transformations (independence, basis, dimension, span)
Easy	Average	Hard	Very Hard	All	Section 3.8	The eigenvalue-eigenvector method of finding solutions
Easy	Average	Hard	Very Hard	All	Section 3.9	Complex roots
Easy	Average	Hard	Very Hard	All	Section 3.10	Equal roots
Easy	Average	Hard	Very Hard	All	Section 3.11	Fundamental matrix solutions; eAt
Easy	Average	Hard	Very Hard	All	Section 4.1	Introduction
Easy	Average	Hard	Very Hard	All	Section 4.2	Stability of linear systems
Easy	Average	Hard	Very Hard	All	Section 4.4	The phase-plane
Easy	Average	Hard	Very Hard	All	Section 4.7	Phase portraits of linear systems
Easy	Average	Hard	Very Hard	All	Section 5.1	Two point boundary-value problems
Easy	Average	Hard	Very Hard	All	Section 5.3	The heat equation; separation of variables
Easy	Average	Hard	Very Hard	All	Section 5.4	Fourier series
Easy	Average	Hard	Very Hard	All	Section 5.5	Even and odd functions
Easy	Average	Hard	Very Hard	All	Section 5.6	Return to the heat equation