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A worked progression through integration techniques—from Riemann sums and substitutions to partial fractions—ending with areas, volumes, arc lengths, and numerical rules.
Learn to find derivatives from first principles and apply standard rules to implicit, logarithmic, parametric, trigonometric, and other functions.
Explore transition diagrams, steady states, regular Markov chains, and absorbing chains through applied problems.
Learn to graph sine, cosine, cotangent, and cosecant functions by hand using amplitude, period, and horizontal and vertical shifts.
Learn how orthogonal functions and inner products produce Fourier series coefficients and function representations.
Introduces inverse trigonometric functions through evaluation, right-triangle simplification, and limits.
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