Section # | My Lecture Notes | "Due Date" | Assignment | Content of Assignment | Description / Hints |
Event | c2 | Aug 18 | . | Calculus Readiness Test. | please read syllabus before class, ask any questions at beginning of class |
Sec. 1.1 | c2.1, c2.2, c2.3 | Aug. 31 | H1 | 2, 8, 28, 30, 45, 50, 56, 64, 65 | equations and models (p.21) |
Sec. 1.2 | c2.4 | Aug. 31 | H1 | 1, 6, 7, 8, 9 | functions and curve fitting (p.34) |
Sec. 1.3 | c2.5 | Aug. 31 | H1 | 3, 31, 59, 63, 65, 66 | manipulating functions and their graphs (p.46) |
Sec. 7.1a | c2.6 | Aug. 31 | H2 | 1, 2, 11, 17, 21, 22, 23, 25 | inverse functions (p.391) |
Sec. 7.6a | c2.4.7 | Aug. 31 | H2 | 1, 2, 10, 11 | inverse trig functions (p.461) |
Sec. 7.2a | c2.4.8, c2.4.9 | Sept. 4 | H3 | 1, 2, 10, 17 | exponential functions (p.402) |
Sec. 7.3a | c2.4.8, c2.4.9 | Sept. 4 | H4 | 1, 2, 8, 11, 17, 27, 28 | logarithmic functions (p.409) |
Sec. 7.7a | c2.4.10 | Sept. 4 | H5 | 1, 3, 7, 11, 13, 26 | hyperbolic functions (p.468),(hint: for 26 see Example 3 p.466-467) |
Sec. 2.2 | c3.1 | Sept. 7 | H6 | 2, 6, 14, 25, 26, 27, 40 | limits (p.74) |
Sec. 2.3 | c3.2, c3.3, c3.4, c3.5, c3.6, c3.7 | Sept. 9 | H7 | 3, 4, 5, 6, 10, 13, 17, 19, 25, 26, 27, 37, 58, 61 | limit laws (p.84), (hint: for 19 need to factor out an (x+2) in the denominator) |
Sec. 2.4 | c3.8 | Sept. 9 | H7 | 15, 19, 24, 44 | technical limits (p.96) |
Sec. 2.5 | c3.2, c3.3 | Sept. 11 | H8 | 1, 2, 4, 6, 32, 40, 42, 45, 48, 55 | continuity (p.106) |
Sec. 3.1 | c4.1 | Sept. 11 | H9 | 4, 6, 10, 14, 16, 32, 33 | definition of derivative at a point, tangent lines (p.121) |
Event | . | Sept. 14 | . | Homework Project I due | functions and limits |
. | . | Sept. 16 | . | Review for Test I day | your questions, my hints. |
Event | Test I | Sept. 17 | . | Sections 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.4, 2.5, 3.1, 7.1a, 7.2a, 7.3a, 7.7a | functions, algebra, limits and definition of derivative |
Sec. 3.2 | c4.1, c4.2 | Sept. 21 | H10 | 3, 41 | derivative as a function (p.131) |
Sec. 3.3 | c4.1, c4.2 | Sept. 24 | H11 | 23, 25, 27, 35, 43, 49, 57 | level-1 derivatives involving linearity, product, quotient rules (p.144) |
Sec. 3.3 | c4.1, c4.2 | Sept. 25 | H12 | 61, 71, 79, 83, 85, 96 | level-2 derivatives plus concepts (p.144) |
Sec. 3.4 | c4.3, c4.5, c4.6, c4.7 | Sept. 28 | H13 | 1, 3, 5, 7, 11, 15 | derivatives of sine and cosine and their products, reciprocals etc... (p.154) |
Sec. 3.5 | c4.8 | Sept. 29 | H14 | 1, 3, 5, 7, 9, 13, 15, 17, 23, 25 | level-1 chain rule for composite functions (p.160) |
Sec. 3.5 | c4.8 | Sept. 30 | H15 | 41, 43, 48, 59, 87 | level-2 questions on chain rule (p.160) |
Sec. 3.6 | c4.9 | Oct. 1 | H16 | 5, 7, 13, 23, 45, 53 | implicit differentiation and some (p.169) |
Sec. 7.2b | c4.4, c4.6, c4.7, c4.8 | Oct. 5 | H17 | 31, 33, 37, 39, 43, 49 | derivatives involving exponential functions (p.402) |
Sec. 7.4a | c4.9, c4.10 | Oct. 6 | H18 | 3, 7, 11, 13, 17, 25 | level-1 derivatives of logarithms (p.419) |
Sec. 7.6b | c4.9 | Oct. 7 | H19 | 19, 29, 31 | derivatives of inverse trig functions (p.461) |
Event | . | Oct. 8-9 | . | . | Fall Break |
Event | . | Oct. 12 | . | Homework Project II due | differentiation |
Event | . | Oct. 12 | . | Review for Test II day | your questions, my hints. |
Event | Test II | Oct. 13 | . | Sections 3.2, 3.3, 7.2b, 3.4, 3.5, 3.6, 7.4a | techniques of differentiation |
Sec. 3.8 | c5.1 | Oct. 16 | H20 | 1, 15, 43 | related rates (p.186) |
Sec. 3.9 | c5.2 | Oct. 16 | H20 | 1, 11, 19 | linearizations and differentials (p.191) |
Sec. 4.1 | c5.3 | Oct. 20 | H21 | 29, 31, 33, 35, 45, 72 | extreme values (p.211) |
Sec. 4.2 | c5.4 | Oct. 20 | H21 | 1, 5, 11 | Rolle's Theorem, Mean Value Theorem (p.219) |
Sec. 4.3 | c5.5 | Oct. 23 | H22 | 7, 9, 11, 13, 29, 40, 53 (please use sign charts to organize your arguments for these problems) | derivatives and shape of graphs (p.227) |
Sec. 4.7 | c5.8 | Oct. 27 | H23 | 5, 19, 21, 23, 43, 71 | optimization (p.262) |
Sec. 7.6c | c5.8 | Oct. 27 | H23 | 47 | optimization (p.461) |
Sec. 4.5 | c5.7 | Oct. 29 | H24 | 9, 13, 42 | the big picture (p.248) |
Sec. 4.4 | c5.6 | Oct. 30 | H25 | 3, 7, 9, 11, 19, 22, 25, 29(hint, use Eqn 2 of pg 129) | limits at infinity (p.240), algebra and/or logic will resolve the indeterminancy. |
Sec. 5.1 | c6.1 | Nov. 3 | H26 | 3, 15 | the area problem (p.298) |
Sec. 5.2 | c6.2 | Nov. 3 | H26 | 21 | definition and properties of the definite integral (p.310) |
Sec. 4.9 | c6.3 | Nov. 4 | H27 | 1, 3, 5, 7, 9, 11, 13, 15, 17, 41, 45 | antiderivatives (p.279) |
Sec. 5.3 | c6.4 | Nov. 6 | H28 | 15, 19, 21, 23, 25, 27 | Fundamental Theorem of Calculus (FTC)(p.321) |
Sec. 5.3 | c6.4 | Nov. 9 | H29 | 29, 31, 33, 37, 45, 69, 71, 73 | Fundamental Theorem of Calculus (FTC)(p.321) |
Event | . | Nov. 9 | . | Homework Project III due | applications of differentiation and foundations of integration |
Event | . | Nov. 9 | . | Review for Test III day | your questions, my hints. |
Event | Test III | Nov. 10 | . | Sections 3.8, 3.9, 4.1, 4.2, 4.3, 4.4, 4.5, 4.7, 4.9, 5.1, 5.2, 5.3, 7.2c, 7.4b, 7.6c | applications of differentiation and fundamentals of integration |
Sec. 5.5 | c7.2 | Nov. 13 | H30 | 1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 | u-substitution (p.338) |
Sec. 5.5 | c7.2 | Nov. 16 | H31 | 35, 37, 39, 41, 43, 45, 47, 49 | u-substitution (p.338) |
Sec. 5.5 | c7.2 | Nov. 17 | H32 | 59, 63, 64, 65, 67, 69, 71, 73, 75, 77, 79, 81 | u-substitution (p.338) |
Sec. 7.2d | c7.2 | Nov. 18 | H33 | 73, 77, 79, 81 | integrals involving exponential function, some problems need u-substitution technique here. (p.404) |
Sec. 7.4c | c7.2 | Nov. 19 | H34 | 69, 71, 73, 79 | integrals that yield logarithms, some problems need u-substitution technique here. (p.421) |
Sec. 7.6d | c7.2 | Nov. 19 | H35 | 63, 65, 69, 71 | integrals that yield inverse trig. functions, some problems need u-substitution here. (p.462) |
Sec. 6.1 | c8.1 | Nov. 20 | H37 | 5, 7, 9, 11, 13, 19, 21, 29, 49 | areas bounded by curves (p.352) |
Event | . | Nov. 23-27 | . | . | Thanksgiving Break |
Sec. 5.4 | c7.1 | Dec. 2 | H36 | 41, 48, 52, 55, 57, 67, 69, 71, 72 | indefinite integrals (most general antiderivative), integrals as sums for computing net change (p.329) |
Sec. 6.2 | c8.2 | Dec. 2 | H38 | 1, 3, 5, 7, 9, 49, 51, 53, 57, 65, 70 | volumes by the slice (p.362) |
Sec. 6.3 | c8.3 | Dec. 2 | H39 | 5, 7, 9, 11, 46 | volumes by the shell (p.368) |
Event | . | Dec. 2 | . | Homework Project IV due | u-substitution, areas and volumes |
Event | . | Dec. 2 | . | Review for Test IV day | your questions, my hints. |
Event | Test IV | Dec. 3 | . | Sections 5.4, 5.5, 6.1, 6.2, 6.3, 7.2d, 7.4c, 7.6d | basic integration and select applications |
Sec. 7.8 | c9 | Dec. 8 | H40 | 5, 11, 13, 15, 19, 21, 25, 27, 43 | L'Hopital's Rule (p.478) |
Sec. 7.8 | c9 | Dec. 9 | H41 | 49, 55, 59, 63, 85, 93, 94 | L'Hopital's Rule (p.478) |
Event | . | Dec. 9 | . | review for final exam | Last day of classes |
Event | Final Exam | T.B.A. ( but will be on of the officially scheduled times for this course meeting time) | . | comprehensive, covers everything tested on Tests I,II,III and IV AND section 7.8 | tests I, II,III,IV and 7.8 |