Math 193 Videos

28.1   The Power Form (14 mins)
28.1   Know Your Derivatives (6 mins)
28.1   The Power Form: More Examples (10 mins)

28.2   The Logarithmic Form (8 mins)

28.3   The Exponential Form (8 mins)

28.4   Basic Trig Forms (5 mins)
28.4   SOHCAHTOA and Alternate Versions (2 mins)
28.4   Basic Trig Forms: More Practice (8 mins)

28.6   Inverse Trig Forms (7 mins)
28.6   Inverse Trig Forms: More Examples (9 mins)
28.6   Mixed Practice (9 mins)

28.7   Integration by Parts: Tabular Method (9 mins)
28.7   Integration by Parts: Formal Method (12 mins)

28.9   Review: Log Rules (5 mins)
28.9   A Shortcut for Ln Form (7 mins)
28.9   Partial Fractions (12 mins)

29.3   First-Order Partial Derivatives (12 mins)
29.3   Second-Order Partial Derivatives (10 mins)

29.4   Double Integration (5 mins)
29.4   Volume by Double Integration: Part 1 (15 mins)
29.4   Volume by Double Integration: Part 2 (10 mins)

31.1   Solutions of Differential Equations (13 mins)

31.2   Training your Brain for DE (3 mins)
31.2   Separation of Variables Part 1 (12 mins)
31.2   Separation of Variables Part 2 (8 mins)

31.4   Product Rule for Differentials (6 mins)
31.4   First-Order Linear DE (15 mins)

31.6   Application of First-Order DE (14 mins)

31.7   Homogeneous DE with Constant Coefficients, Part 1 (11 mins)
31.7   Homogeneous DE with Constant Coefficients, Part 2 (11 mins)

31.8   Auxiliary Equation with Repeated Roots (11 mins)
31.8   Auxiliary Equation with Complex Roots (14 mins)

31.9   Nonhomogeneous DE with Constant Coefficients, Part 1 (7 mins)
31.9   Nonhomogeneous DE with Constant Coefficients, Part 2 (11 mins)
31.9   The Bad Case, Part 1 (10 mins)
31.9   The Bad Case, Part 2 (13 mins)
31.9   More About the Particular Solution (12 mins)

31.10   Application: Spring-Mass Systems, Part 1 (14 mins)
31.10   Application: Spring-Mass Systems, Part 2 (12 mins)