Texas Tech University |
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 |
Math 1352-002
Summer II 2000 |
Bradley and Smith
Calculus, 2nd Ed. |
Prentice Hall
Upper Saddle River, New Jersey |
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 sin^{m}x cos^{n}x powers of tan^{m}x sec^{n}x 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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