01 promotional-video (50.41 MB)
02 course-overview (6.53 MB)
06 introduction-to-differential-equations-lecture-1 (77.7 MB)
01 week-one-introduction (1.54 MB)
01 euler-method-lecture-2 (72.89 MB)
01 separable-first-order-equations-lecture-3 (61.29 MB)
03 separable-first-order-equation-example-lecture-4 (50.07 MB)
01 linear-first-order-equations-lecture-5 (105.58 MB)
04 linear-first-order-equation-example-lecture-6 (42.22 MB)
01 application-compound-interest-lecture-7 (108.57 MB)
04 application-terminal-velocity-lecture-8 (93.69 MB)
06 application-rc-circuit-lecture-9 (93 MB)
01 the-sir-model (21.38 MB)
02 the-basic-reproductive-ratio (9.48 MB)
03 solution-of-the-sir-model (7.47 MB)
01 week-two-introduction (2.09 MB)
01 euler-method-for-higher-order-odes-lecture-10 (77.91 MB)
01 the-principle-of-superposition-lecture-11 (57.07 MB)
03 the-wronskian-lecture-12 (69.91 MB)
05 homogeneous-second-order-ode-with-constant-coefficients-lecture-13 (62.76 MB)
01 case-1-distinct-real-roots-lecture-14 (60.53 MB)
02 case-2-complex-conjugate-roots-part-a-lecture-15 (52.68 MB)
03 case-2-complex-conjugate-roots-part-b-lecture-16 (71.73 MB)
01 case-3-repeated-roots-part-a-lecture-17 (84.47 MB)
02 case-3-repeated-roots-part-b-lecture-18 (34.77 MB)
01 complex-numbers (122.11 MB)
01 week-three-introduction (2.21 MB)
01 inhomogeneous-second-order-ode-lecture-19 (74.01 MB)
03 inhomogeneous-term-exponential-function-lecture-20 (93.49 MB)
01 inhomogeneous-term-sine-or-cosine-part-a-lecture-21 (79.29 MB)
02 inhomogeneous-term-sine-or-cosine-part-b-lecture-22 (69.09 MB)
04 inhomogeneous-term-polynomials-lecture-23 (57.13 MB)
01 resonance-lecture-24 (96.46 MB)
02 rlc-circuit-lecture-25 (91.05 MB)
04 mass-on-a-spring-lecture-26 (68.16 MB)
06 pendulum-lecture-27 (105.43 MB)
07 damped-resonance-lecture-28 (117.06 MB)
01 nondimensionalization (117.47 MB)
01 week-four-introduction (1.79 MB)
01 definition-of-the-laplace-transform-lecture-29 (103.81 MB)
03 laplace-transform-of-a-constant-coefficient-ode-lecture-30 (88.9 MB)
05 solution-of-an-initial-value-problem-lecture-31 (92.59 MB)
01 the-heaviside-step-function-lecture-32 (83.39 MB)
03 the-dirac-delta-function-lecture-33 (80.91 MB)
05 solution-of-a-discontinuous-inhomogeneous-term-lecture-34 (95.3 MB)
07 solution-of-an-impulsive-inhomogeneous-term-lecture-35 (45.93 MB)
01 the-series-solution-method-lecture-36 (143.94 MB)
03 series-solution-of-the-airys-equation-part-a-lecture-37 (118.45 MB)
05 series-solution-of-the-airys-equation-part-b-lecture-38 (55.05 MB)
01 week-five-introduction (1.67 MB)
02 systems-of-homogeneous-linear-first-order-odes-lecture-39 (69.42 MB)
04 distinct-real-eigenvalues-lecture-40 (76.67 MB)
06 complex-conjugate-eigenvalues-lecture-41 (101.11 MB)
01 phase-portraits-lecture-42 (56.6 MB)
03 stable-and-unstable-nodes-lecture-43 (53.36 MB)
05 saddle-points-lecture-44 (46.17 MB)
07 spirals-lecture-45 (47.09 MB)
01 coupled-oscillators-lecture-46 (66.65 MB)
03 normal-modes-eigenvalues-lecture-47 (86.13 MB)
04 normal-modes-eigenvectors-lecture-48 (68.63 MB)
01 matrices-and-determinants (94.13 MB)
02 eigenvalues-and-eigenvectors (71.57 MB)
01 week-six-introduction (1.19 MB)
01 fourier-series-lecture-49 (104.08 MB)
03 fourier-sine-and-cosine-series-lecture-50 (49.55 MB)
05 fourier-series-example-lecture-51 (90.76 MB)
02 the-diffusion-equation-lecture-52 (64.3 MB)
01 solution-of-the-diffusion-equation-separation-of-variables-lecture-53 (93.59 MB)
03 solution-of-the-diffusion-equation-eigenvalues-lecture-54 (85.77 MB)
01 solution-of-the-diffusion-equation-fourier-series-lecture-55 (75.39 MB)
03 diffusion-equation-example-lecture-56 (86.89 MB)
01 partial-derivatives (61.87 MB)
01 concluding-remarks (5.7 MB)