Mark Bly's Math 142 Webpage

blymark83@gmail.com

Class Meetings
R 8:10-9:25am in PHY 304 (Section 2)
R 12:40-1:55pm in CN 103 (Section 5)
MWF 3:35-4:25am in AUD (w/Schulze)

Office Hours
W 1:30-3:00pm in Ayres 326
TR 2:00-3:00am in Ayres 224C (w/Schulze)

Math Tutorial Center

Ayres G012
Mon: 9am-5pm
Tue: 9am-5pm
Wed: 9am-5pm
Thu: 9am-5pm
Fri: 9am-3pm

Hodges North Commons
Sun: 5-10pm
Mon: 5-10pm
Tue: 5-10pm
Wed: 5-10pm
Thu: 5-10pm

Internet Videos

 Test 1 (5.3) The antiderivative Power rule for integrals Integral of sin(x), cos(x) & e^x Integral of x^-1 A more complicated integral expression Initial value problem with pos/vel/acc (5.1, 5.2) Approximating area under curve (N rectangles) Intro to Riemann Sum Area under curve using graph (5.4) The fundamental theorem Evaluating a definite integral with FTC Breaking up an integral inverval Swapping the bounds on an integral (5.5) Derivative of an integral Area under a rate function (5.6) Integral and pos/vel/acc Water in tub problem (5.7) Integration by u-substitution An example using u-substitution Another example using u-substitution Integral of tan(x) via u-substitution Area under curve with u-substitution Test 2 (6.1) Area between two curves Area between three curves (6.2) Volume by cross-sections Another volume by cross-sections Volume of a sphere by cross-sections Average value of a function Average value example (6.3) Volumes of revolution - Disks Volumes of revolution - Between 2 disks (6.4) Volume by shells Shell Method Example Shells with two functions of x Shells with two functions of y (6.5) Work - Raising Weight Work - Pumping Water (Triangular Prism) Work - Pumping Water (Inverted Cone) Work - Pumping Water (Cylinder) (7.1) Integration by parts (one iteration) Integration by parts (two iterations) Integration by parts (manipulating equations) Integral of ln(x) (by parts) (7.2) Odd power of sinx or cosx example Another odd power of sinx or cosx example Even power of sinx and cosx example Integral of tan(x) via u-substitution (7.3) Integral using trig substitution Another integral using trig substitution A trig substitution w/ an even power of cosx Part two of the video above Test 3 (7.5) Integration using partial fractions Integration using partial fractions (w/long division) (7.7) A convergent improper integral A divergent improper integral Polynomial Long Division Explanation Polynomial Long Division Example (7.9) Trapezoids to approximate area under curve An example using trapezoids Explanation of Simpson's Rule formula Complete justification for Simpson's Rule (8.1, 11.2) Arc length formula Arc length example (11.4) Area between f(theta) and origin Example with area between f(theta) and origin (8.3) Center of mass basics Test 4 (10.1) Convergence of a sequence A convergent sequence example (10.2) Partial sums Infinite series are a limit of partial sums Finite geometric series formula Infinite geometric series formula Infinite bouncing ball and geometric series (10.3) Comparison test Comparison test example Integral test Integral test example Limit comparison test (10.4) Alternating series test Absolute vs conditional convergence (10.5) Ratio test (10.6) Power series & radius of convergence Using ratio test to find radius of convergence Representing a function as a power series (10.7) Maclauren/Taylor series intro Series for e^x Series for sinx Series for cosx

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