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All Online Tests Arithmetic 60 seconds tests Test 1 Test 2 Test 3 Test 4 Test 5 Quizzes Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5 Precalculus 60 seconds tests Test 1 Test 2 Test 3 Test 4 Quizzes Quiz 1 (version 1) Quiz 1 (version 2) Quiz 2 (version 1) Quiz 2 (version 2) Calculus 60 seconds tests (limits) Test 1 Test 2 Test 3 Test 4 Test 5 60 seconds tests (differentiation) Test 1 Test 2 Test 3 Test 4 Test 5 60 seconds tests (integration) Test 1 Test 2 Test 3 Test 4 Test 5 Calculating Limits (easy) Test 1 Test 2 Test 3 Test 4 Test 5 Calculating Limits (average) Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 Differentiation: Basic Differentiation Formulas, Product and Quotient Rules, Chain Rule Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 Test 7 Inverse Functions Test 1 Test 2 Test 3 Test 4 Test 5 Derivatives of Logarithmic and Exponential Functions (easy) Test 1 Test 2 Test 3 Test 4 Test 5 Derivatives of Logarithmic and Exponential Functions (average) Test 1 Test 2 Test 3 Test 4 Test 5 Values of Inverse Trigonometric Functions Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 Derivatives of Inverse Trigonometric Functions Test 1 Test 2 Test 3 Test 4 Test 5 Indeterminate Forms, L'Hospital's Rule and Other Limits (easy) Test 1 Test 2 Test 3 Test 4 Test 5 Indeterminate Forms, L'Hospital's Rule and Other Limits (average) Test 1 Test 2 Test 3 Test 4 Test 5 Evaluating Definite Integrals Test 1 Test 2 Test 3 Test 4 Test 5 The Substitution Rule (Non-Trigonometric Substitution) Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 Test 7 The Substitution Rule (Trigonometric Substitution) Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 Integration by Parts Test 1 Test 2 Test 3 Test 4 Test 5 Trigonometric Integrals Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 Trigonometric Substitution Test 1 Test 2 Test 3 Test 4 Test 5 Partial Fractions Test 1 Test 2 Test 3 Test 4 Test 5 Integration (mixed, part 1, easy) Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 Test 7 Test 8 Test 9 Test 10 Integration (mixed, part 1, average) Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 Test 7 Test 8 Test 9 Test 10 Integration (mixed, part 2, average) Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 Test 7 Test 8 Test 9 Test 10 Differential Equations and Linear Algebra 60 seconds tests Test 1 Test 2 Test 3 Test 4 Test 5 Spring 2020 Midterm 1-1,  Midterm 1-2 Fall 2019 Midterm 1-1,  Midterm 1-2 Midterm 2-1,  Midterm 2-2 Final Exam-1,  Final Exam-2 Spring 2019 Midterm 1-1,  Midterm 1-2 Midterm 2-1,  Midterm 2-2 Final Exam-1,  Final Exam-2 Fall 2018 Midterm 1 Midterm 2 Final Exam-1,  Final Exam-2 Summer 2018 Midterm 1 Midterm 2 Final Exam Spring 2018 Midterm 1-1,  Midterm 1-2 Midterm 2-1,  Midterm 2-2 Final Exam-1,  Final Exam-2 Fall 2017 Midterm 1-1,  Midterm 1-2 Midterm 2-1,  Midterm 2-2 Final Exam-1,  Final Exam-2 Spring 2017 Midterm 1 Midterm 2 Final Exam Differential Equations and Linear Algebra 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