Mathematics & Statistics Texas Tech University

Kent Pearce Department of Mathematics and Statistics Texas Tech University Lubbock, Texas 79409-1042 Voice: (806)742-2566 x 226 FAX: (806)742-1112 Email: kent.pearce@ttu.edu

Content	Homework	Hours
6.1: Area Between Curves f(x) >= g(x) f, g intersecting horizontal strips economics examples	Multiples of 3 (3-27, 33-42)	2
6.2: Volume by Cross-Sectional Area cross-sectional area solids of revolution disk method washer method	Multiples of 3 (3-48)	2
6.3: Volume by Shells	Multiples of 3 (3-33)	2
6.4: Arc Length and Surface Area arclength y = f(x) arclength x = g(y) surface area: solids of revolution	Multiples of 3 (3-27)	1
6.5: Applications work Hooke's law fluid force centroids and moments theorem of Pappus	Multiples of 3 (6-42)	3

Content	Homework	Hours
7.1: Review anti-differnetiation formulae substitution tables	Multiples of 3 (3-42, 48-60)	2
7.2: Integration by Parts formula definite integrals repetition	Multiples of 3 (3-45)	1
7.3: Trigonometric Methods powers of sinmx cosnx powers of tanmx secnx trigonometric substitution	Multiples of 5 (5-60)	1
7.4: Partial Fractions reduced form single linear factors repeated linear factors single quadactic factors repeated quadratic factors Heavyside covering method rational functions of sin x and cos x	Multiples of 5 (5-55)	2
7.5: Summary of Methods (a) simplification (b) basic formulae (c) substitution (d) integration by parts (e) trigonometric functions: reduction, identities (f) radical functions: trigonometric substitution (g) rational functions: partial fraction decomposition Computer Algebra Software	Summary: Multiples of 7 (7-84) Software: [Multiples of 7] + 1 (8-71)	1
7.6: First Order Differential Equations review separable equations linear differential equations initial value problems modelling exponential growth modelling logistic growth	Multiples of 3 (3-15, 21-30) 34, 39, 42	2
7.7: Improper Integrals unbounded domains unbounded integrands	Multiples of 3 (3-42) 43, 46, 49, 51	2
7.8: Hyperbolic Functions definitions identities differentiation formulae integration formulae inverse functions differentiation / integration formulae	Multiples of 3 (3-51)	2

Content	Homework	Hours
8.1: Sequences definitions limits: intuitive and formal limit theorems composition theorems sandwich (squeeze) theorem bounded and monotonic sequences	Multiples of 3 (3-45)	2
8.2: Infinite and Geometric Series definitions convergence and divergence convergence (limit) theorems telescoping series geometric series decimals and proportional decay	Multiples of 3 (3-27) 32, 39, 41, 48, 51, 54	2
8.3: Integral Test and p-series divergence test series with non-negative terms (s.n.n.t.) integral test p-series	Multiples of 5 (5-55)	1
8.4: Comparison Tests for s.n.n.t. direct comparison test convergence and divergence limit comparison test convergence and divergence	1, 2 Multiples of 5 (5-50)	2
8.5: Ratio and Root Tests for s.n.n.t. ratio test convergence, divergence and inconclusive root test convergence, divergence and inconclusive	1, 2 Multiples of 3 (3-45)	1
8.6: Alternating Series and Absolute Convergence alternating series test error estimates absolute convergence definition absolute convergence implies convergence conditional convergence definition rearrangement of terms	1, 2 Multiples of 5 (5-40) 44, 45	2
8.7: Power Series definition convergence theorem radius of convergence ratio test interval of convergence series in (x-c) term-by-term differentiation term-by-term integration	1, 2 Multiples of 3 (3-42) 43, 46, 47	2
8.8: Taylor Series Taylor polynomials Taylors theorem remainder and representation Taylor series known representations error estimates operations on Taylor series binomial series	Multiples of 5 (5-55) 53	2

Content	Homework	Hours
9.1: Polar Coordinates polar coordinate system multiple representations conversion between coordinate systems polar graphs	Multiples of 3 (3-60)	1
9.2: Graphing table of values symmetry standard curves cardiod, rose, limacon, lemniscate, linear	4, 5, 6 Multiples of 5 (10-60) 61, 62	1
9.3: Area and Tangent Lines intersection points area via integration tangent lines at pole area between polar curves tangent slopes to polar graphs	Multiples of 5 (5-60)	2
9.4: Parametric Equations graphing differentiation arclength area under curves	Multiples of 3 (3-48)	1

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