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Schedule - 218

Reading due Lecture date Topic Suggested activities, exercises, problems
A 2.1 10.1 Line, Angles, Parallel Lines (452) ca201/1-3 ca202/1,2 460/1,3,4 463/2,4,5
B 2.3 10.1 Angle sum of a triangle ca203/1-3 ca204/1 ca205/3 ca206/4,6,7 ca207/1-4 461/5-7 463/9 (hint: add line going up from b),10
C 2.7 2.8 10.2 Angles in the world (466), optional topic: seasons ca209:earth-circumference 468/1,2 469/1ab,4a-f,5
D " 2.10 10.3 Circles & Spheres (472) 475/1,2,4 476/1-3
E " " 10.3 GPS demo with strings and/or with diagrams ca214
F 2.14 2.17 10.4 Triangle, Quadrilateral, Polygon, Definition, Relationship, Venn diagrams (477) ca217 ca218-219 ca220-221 ca222 484/1-4 487/1-3,5abc,8ab,9,16ab,19a,20ab
G 2.21 2.22 10.6 Construction with compass/straight edge ca223/1-3 ca224/4,6,7 484/5-7 487/5abc,8ab,9,16ab,19a,20ab
2.24 Review
3.1 Exam 1
H 2.28 3.3 11.1 Concepts of Measurement (493) ca230/1,2,4 ca231/1-3 503/1-4,7-9 504/1-7
I " " 11.2 Length, Area, Volume & Dimension (505) ca232/1,2 508/1abc,2,3 509/1,3,4,7
J " " 11.3 Error & Precision in Measurement (510) ca233/1ab,2 513/1,2 513/1-3
K 3.7 3.8 11.4 Converting from One Unit of Measurement to Another I (514) ca234/1abc,2 ca235/1-3 518/1-4 521/1-6,8-11
L " " 11.4 Converting from One Unit of Measurement to Another II ca236/1,2 ca237/1-5 ca238/1,2 518/5-7 521/12-14,16,17,21,25
M " 3.10 12.3 Areas of Triangles (535) ca246/3,4 ca247/1-4 539/2,4 542/2,4-6,8-11,13
N 3.14 3.15 12.4 Areas of Parallelograms & Other Polygons (544) ca248/1,2 ca249:12H/1,2 546/1,3 547/2,3,4abcd,6,7ab,8
O " 3.17 12.5 Shearing: Changing Shapes without Changing Area; Cavalieri’s Principle (550) ca250/12J ca251/1-3 551/1,2 553/1,2ab,3ab,4ab,5abc,6
P 3.21 3.22 12.6 Areas of Circles and the Number Pi (554) ca252:12L ca253:12N ca254/1 558/1,2,4,5 559/1,2,6,8
3.24 Exam 2
Q 4.4 4.5 12.9 Pythagorean Theorem, applications, proofs, proof with similar right triangles, President James Garfield’s Trapezoidal proof (570) ca261:12U ca262/1,4 560/1-3,6 563/1,3,6
R " 4.7 13.1 Polyhedra, Other Solid Shapes (581) ca265/1,2 ca267 586/1-4 587/2-4
S 4.11 4.12 13.2 Patterns, Surface Area (589) ca269/13G:1,2 ca270/1-4 591/7-11 (Cylinder Area) 595/3ab,13ab (Pyramid Area) 596/11,12 583/11,12 (Cone Area) 596/15ab,16ab,17,20
T " 4.14 13.3 Volumes of Solid Shapes (597); see YouTube ca275:13N/1-3 ca277/2,3 603/2-7 604/2ab,4ab,5,7,8,12ab (cone) 17*,18ab,22,23ab,24
U " " 13.4 Volumes of Submerged Objects (607) ca311/1-3 608/1,2ab,3 609/1-3
V 4.18 4.19 15.1 Formulating Statistical Questions, Gathering Data, Using Samples (674) ca309/abcde ca310/1,2 679/1,2,3,4 680/3,4,5,8,9
W " " 15.2 Displaying Data and Interpreting Data Displays (681) ca314/1-6 690/1-3 692/4,5,8ab
X " 4.21 15.3 The Center of Data: Mean, Median, Mode (693) ca321/1 ca322/2-4 ca323/2 ca325/1,2ab,3 ca333/1,2 698/2-6 700/2,4,5,7-10ab,13,14abc,17,20*,21*
Y 4.25 4.26 16.1 Basic Principles of Probability (723)
Z " " 16.2 Counting Number of Outcomes (730) ca346/1,3,4 ca357/1,2 733/1-4 735/2,3ab,5,6abc
AA " 4.28 16.3 Calculating Probabilities in Compound Events (736) ca351/16J:1,2 739/1abc,2,3 741/1-8,10ab,12,13,16ab
AB " " 16.4 Using Fraction Arithmetic to Calculate Probabilities (743) ca352/1 ca354/1,3c 747/1-3 748/1,2,10,11
5.3 Review
5.5 Review
5.10 Exam 3
5.12 Review
5.17 Review
TBD Final

Schedule - 113

Reading due Lecture date WeBWorK due Topic
A,B 2.1 2.21 Population and Sample. Data type.
C 2.3 2.21 Frequency table. Lab 1.
D,E 2.7 2.8 2.21 Histogram. Mean.
E,F 2.7 2.10 2.21 Grouped mean. Skew. Standard deviation. Lab 2.
G,H 2.14 2.17 2.28 Boxplot. Correlation.
I 2.21 2.22 3.7 Regression. Review.
2.24 Exam 1
J,K 2.28 3.1 3.14 Probability. Add rule and multiply rule
L 2.28 3.3 3.14 Complement and conditional probability Lab 3
M,N 3.7 3.8 3.21 Counting principle. Probability distributions
O,P 3.7 3.10 3.21 Binomials. Standard normal.
Q,R 3.14 3.15 4.4 Normals. Sampling distributions.
S 3.14 3.17 4.4 CLT. Lab 4.
3.22 Review
3.24 Exam 2
T,U 4.4 4.5 4.18 Estimate p. Estimate µ.
4.4 4.7 4.18 Lab 5.
V,W 4.11 4.12 4.25 Testing p. Testing µ
4.11 4.14 4.25 Lab 6.
X 4.18 4.19 5.2 Testing p₁ p₂
4.18 4.21 5.2 Lab 7.
Y,Z 4.25 4.26 5.9 Testing µ₁ µ₂ for independent samples. Testing µ₁ µ₂ for matched pairs.
4.25 4.28 5.9 Lab 8.
AA,AB 5.3 5.16 Goodness of fit. Contingency tables
5.5 5.16 Lab 9.
5.10 Review
5.12 Exam 3
5.17 Review
TBD Final

Schedule - 233

Reading due Lecture date WeBWorK due Topic
A 2.1 2.21 Polar coordinates. Vectors in the plane.
B 2.3 2.21 Vectors in 3-space. Dot product.
C 2.7 2.8 2.21 Determinant.
D 2.7 2.10 2.21 Cross product.
E 2.14 2.17 2.28 Lines & Planes in 3-space. Quadratic surfaces. Lab 1.
F 2.21 2.22 3.7 Vector-valued functions. Calculus of vector-valued functions. Arclength and speed. Lab 2.
G 2.21 2.24 3.7 Functions of several variable. Limits and continuity in several variables.
H 2.28 3.1 3.14 Partial derivatives
I 2.28 3.3 3.14 Differentiability and tangent planes. Lab 3.
J 3.7 3.8 3.21 Gradient and directional derivatives. Review.
3.10 Exam 1
K 3.14 3.15 4.4 Chain rule in several variables.
L 3.14 3.17 4.4 Optimization in several variables. Lab 4.
M 3.21 3.22 4.11 Langrange multipliers.
N 3.21 3.24 4.11 Integration in several variables. Lab 5.
O 4.4 4.5 4.18 Double integrals over general regions
P 4.4 4.7 4.18 Triple integrals.
Q 4.11 4.12 4.25 Integration in polar and cylindrical coordinates
R 4.11 4.14 4.25 Integration in spherical coordinates
S,T 4.18 4.19 5.2 Vector fields. Line integrals
U 4.18 4.21 5.2 Conservative vector fields. Review.
4.26 Exam 2
V 4.25 4.28 5.9 Parametrized surface, surface integral, surface area
W 5.2 5.3 5.16 Surface integral of vector field. Divergence and curl.
X 5.2 5.5 5.16 Green's Theorem
Y 5.9 5.10 5.23 Stokes' Theorem
Z 5.9 5.12 5.23 Divergence theorem
5.17 Review
TBD Final