Math 266 HW assigned from the textbook Thomas’ Calculus 14 ed
(vid) 1 Review on Derivatives
(vid) 2 Integration and the Substitution Methods Pg 295 23 – 43 odd
(vid) 3 Areas, Riemann Sums, and the Fundamental Theorem of Calculus
(vid) 4 FTC and signed Areas Pg 303 25–35 odd (they want the absolute area), 43, 45, 47, 51–57 odd
(vid) 5 Volumes and Solids of Revolution I Pg 323 17–25 odd, 37–41 odd
(vid) 6 Volumes of Solids Of Revolution II Pg 331 1, 3, 5 15–25 odd
(vid) 7 Cavalieri's Principle Pg 322 3, 5, 7, 9
(vid) 8 Arc Length and Area of Surfaces Pg 337 1, 3, 5, 7, 9, 13, 17 Pg. 342 1, 3, 5, 9, 13, 15
(vid) 9 Work Pg 349 7, 11, 15, 16, 17, 18, 19, 22, 23
(vid) 10 Fluid Pressures Pg 352 35, 37, 38, 39, 43, 45
(vid) 11 The Inverse Trigonometric Functions Pg. 424 1– 17 odd
(vid) 12 Derivatives and Integrals of Inverse Trigonometric Functions Pg. 424 21–41 odd, 47–67 odd 71–83 odd
(vid) 13 Integration by Parts Pg. 457 1– 23 odd 31–49 odd
(vid) 14 Formulas From Integration by Parts. (Derive the six trig–reduction formulas for integrals of trig–powers)
(vid) 15 Integrals of Trig-Products-I Pg. 465 1– 19 odd 33– 47 odd
(vid) 16 Partial Fraction Decomposition Pg. 477 1– 8 all
(vid) 17 Integrals of Rational Functions Pg. 477 9– 29, 33–41 odd
(read) 18 Integrals of Trig-Products-ii
(vid) 19 Trig-Substitutions Pg. 470 1– 29 odd 49, 51
(vid) 20 Sequences Pg. 572 13–75 odd, 121–124 all, 125–131 odd
(vid) 21 Monotone Sequences Pg. 572 13–75 odd, 121–124 all, 125–131 odd
(vid) 22 Infinite Series Pg. 583 7–25 odd, 45– 63, 69–74 odd
(vid) 23 Improper Integrals Pg. 503 1–43 odd
(vid) 24 The Harmonic Series and the Integral Test ( See email attachment)
(vid) 25 The Ratio, Root, and Ratio Comparison Test Pg. 596 9–41 odd
(vid) 26 Alternating Series, Absolute and Conditional Convergence Pg. 608 1–37 odd
(vid) 27 Power Series Pg. 620 1–33 odd
(vid) 28 MacLaurin Expansions( See email attachment)
(vid) 29 Taylor Expansions ( See email attachment)
(vid) 30 Computation Techniques for MacLaurin Expansions Pg. 633 1–31, 35 odd
(vid) 31 Mac-Taylor Remainder Theorem Pg. 633 1–31, 35 odd
(vid) 32 Approximation with Remainder Theorem ( See email attachment)
(vid) 33 Parametric Equations Pg. 655 1–15, 19–23 odd Pg 666 1–13 odd
(read) 34 Polar Coordinate and Equations Pg. 671 1–7, 11–19, 27–39, 53–63 odd Pg 674 1–7 odd
(vid) 35 Tangent and Arc-length Formulas in Polar Form Pg 674 17,19, 21, 23 Pg 679 21, 23
(vid) 36 Area Formula in Polar Form Pg 679 1, 3, 5, 9, 10, 11, 12, 15, 17
L'Hopital Rule I
L'Hopital Rule II​