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    MAT 1505 - Section 11.9
    50:59

    MAT 1505 - Section 11.9

    Power series representation of functions.
    MAT 1505 - Section11.8
    48:30

    MAT 1505 - Section11.8

    Power Series: Interval and Radius of Convergence
    MAT 2705 - Section 7.3 (Part 2)
    17:43

    MAT 2705 - Section 7.3 (Part 2)

    Eigenvalue/Eigenvector method of solving first-order linear differential equations: the 3x3 case.
    MAT 1505 - Section 11.6 (Part 2)
    31:24

    MAT 1505 - Section 11.6 (Part 2)

    Absolute vs Conditional Convergence and the Root Test
    MAT 2705 Section 7.3 (Part 1)
    43:32

    MAT 2705 Section 7.3 (Part 1)

    Eigenvalue/Eigenvector method of solving first-order linear differential equations: the 2x2 case
    MAT 1505 - Section 11.6 (Part 1)
    49:48

    MAT 1505 - Section 11.6 (Part 1)

    Absolute vs Conditional Convergence and the Ratio Test
    MAT 2705 - Section 7.1
    28:19

    MAT 2705 - Section 7.1

    First-order systems of differential equations: solving 2x2 systems algebraically.
    MAT 2705 - Section 6.1 (Part 2)
    38:16

    MAT 2705 - Section 6.1 (Part 2)

    Eigenvalues and eigenvectors for 3x3 matrices.
    MAT 1505 - Section 11.5
    39:41

    MAT 1505 - Section 11.5

    The Alternating Series Test: Definition and requirements for convergence
    MAT 2705 - Section 6.1 (Part 1)
    42:22

    MAT 2705 - Section 6.1 (Part 1)

    First, there is a homework problem from section 5.5, then at time 22 minutes, I solve the same problem on Maple. Finally at 26.5 minutes into the video we start section 6.1 ("Eigenvalues and Eigenvectors")
    MAT 1505 - Section 11.4
    37:32

    MAT 1505 - Section 11.4

    The Comparison and the Limit Comparison Test
    MAT 2705 - Section 5.5 (Part 2)
    45:46

    MAT 2705 - Section 5.5 (Part 2)

    Non-Homogeneous Higher-Order Linear Differential Equations: "The Method of Undetermined Coefficients" with duplications
    MAT 1505 - Section 11.3 (Part 2)
    48:42

    MAT 1505 - Section 11.3 (Part 2)

    Approximating the sum of an infinite series, using the remainder term.
    MAT 2705 - Section 5.5 (Part 1)
    43:46

    MAT 2705 - Section 5.5 (Part 1)

    Non-Homogeneous Higher-Order Linear Differential Equations: The Method of Undetermined Coefficients
    MAT 2705 - Section 5.3 (Part 2)
    41:03

    MAT 2705 - Section 5.3 (Part 2)

    Using the Rational Roots Theorem to solve linear differential equations with constant coefficients.
    MAT 1505 - Section 11.3 (Part 1)
    47:31

    MAT 1505 - Section 11.3 (Part 1)

    The Integral Test: Testing for convergence & divergence
    MAT 2705 - Section 5.3 (Part 1)
    36:07

    MAT 2705 - Section 5.3 (Part 1)

    Linear differential equations with constant coefficients.
    MAT 1505 - Section 11.2 (Part 2)
    39:13

    MAT 1505 - Section 11.2 (Part 2)

    Infinite Series: Telescoping Series and The Divergence Test
    MAT 2705 - Section 5.2
    35:51

    MAT 2705 - Section 5.2

    The Existence and Uniqueness Theorem for the general linear differential equation.
    MAT 1505 - Section 11.2 (Part 1)
    47:20

    MAT 1505 - Section 11.2 (Part 1)

    Infinite Series: Partial Sums and Geometric Series
    MAT 2705 - Section 5.1
    36:20

    MAT 2705 - Section 5.1

    Solving second-order linear differential equations with constant coefficients, when the characteristic equation has unique or repeated real roots.
    MAT 1505 - Section 11.1
    52:56

    MAT 1505 - Section 11.1

    Infinite to sequences and its relation to infinite series.
    MAT 2705 - Sections 4.2, 4.3, 4.4
    42:46

    MAT 2705 - Sections 4.2, 4.3, 4.4

    Solution spaces of homogeneous systems and finding basis vectors for a vector space.
    MAT 2705 - Section 4.1 (Part 3)
    36:51

    MAT 2705 - Section 4.1 (Part 3)

    Vector Spaces: 1) Proving a set of vectors is a vector space 2) Showing that a set of vectors is not a vector space
    MAT 2705 - Section 4.1 (Part 2)
    26:58

    MAT 2705 - Section 4.1 (Part 2)

    Determining if a set of vectors is linearly dependent or linearly independent.