Math 221 Fall 2021 and later Calculus I classes
Math 221 Fall 2021 and later Calculus I classes
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One example of finding the area of a region and one example of finding the volume of a solid of revolution.
Exam 3 review, part 3: area and volume of solid…
From Kim Whittlesey
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Three problems using the method of substitution
Exam 3 review, part 2: method of substitution
From Kim Whittlesey
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Review of definite integrals and the Fundatmental Theorem of Calclulus, with 3 sample problems.
Exam 3 review, part 1: definite integrals, FTC
From Kim Whittlesey
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Optimization word problem: we find the biggest volume of a box if we constrain the cost to make it.
Optimization Word Problem
From Kim Whittlesey
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We sketch the graph of f(x) = x^4 - 4x^3 by looking at f, f', and f''
Sketching the graph of a function
From Kim Whittlesey
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Linear approximation of x^3 near x=2
Linear approximation
From Kim Whittlesey
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Related rates example with camera tracking rocket, find rate of change of angle of elevation.
Related Rates: rocket example
From Kim Whittlesey
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Example of related rates: sand falling into cone, radius always equal to height/2
Related Rates: Cone Example
From Kim Whittlesey
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examples of finding volumes of solids of revolution using washers or shells 1:45 discussion of difference between dx and dy integrals 7:40 example (a) using washers…
Part 2 of Lecture on Method of Shells (6.3) from…
From Kim Whittlesey
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Lecture on Method of shells. 12:30 first worked example 17:45 second worked example
Part 1 of Lecture on Method of Shells (6.3) from…
From Kim Whittlesey
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0:30 pasta example 6:30 notation 13:45 logic game 21:30 formal proof 26:45 finding delta 27:45 error: I forgot to mention that we do not care what happens when x=3.…
Explanation of the Epsilon Delta definition of…
From Kim Whittlesey
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A short introduction to the epsilon-delta definition of the limit. Typo: at time 26:30, E(h) should be E(h) = f(2+h) - f(2).
Math 220 : limit definition short lecture
From Kim Whittlesey
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Lecture 8: more limits. Zoom recording of lecture (snow day)
Math 220 F 22 Lecture 8
From Kim Whittlesey
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Introduction to Limits!
Math 220 F 22 Lecture 7
From Kim Whittlesey
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Second zoom lecture for remote week 1 F 2022, covers section 1.3 Better captions coming soon
Math 220 F 22 Lecture 2
From Kim Whittlesey
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Zoom Recording of Math 220 Fall 2022 Lecture 1, covering sections 1.1 and 1.2
Dr.Whittlesey's Math 220 F 22
From Kim Whittlesey
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Chapter 6 review Problem 1: 00:00; Problem 2: 14:30; Problem 3: 29:30
Math 221 Week 16 problem session
From Kim Whittlesey
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Area between curves, and Volumes of solids of revolution. Problem 1: 00:30; Problem 2: 11:30; Problem 3: 26:00; Problem 3 with shells: 38:30
Math 221 Week 15 Problem Session
From Kim Whittlesey
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Review Session: mostly integration problems from worksheet on Moodle Problem 4: 5:00, Problem 5: 8:00, Problem 7: 14:00, Problem 8: 23:00, Problem 9: 32:00, Problem 6:…
Math 221 Week 13 review session
From Kim Whittlesey
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Fundamental Theorem of Calculus, Net Change Theorem, and some integrals (substitution)
Dr.Whittlesey's Math 221 F 21
From Kim Whittlesey
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Riemann sums, antiderivatives, integral rules
Math 221 Week 11 problem session
From Kim Whittlesey
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optimization and Newton's method
Math 221 Week 10 Problems session
From Kim Whittlesey
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Differentials and 1st and 2nd derivative tests
Math 221 Week 9 Problem Session
From Kim Whittlesey
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Linear Approximation, L'Hosptial's rule, and Mean Value Theorem
Math 221 Week 8 problem session
From Kim Whittlesey
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related rates and applications
Math 221 Week 7 Problem Session
From Kim Whittlesey
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Implicit differentiation, exponential growth and decay
Week 6 Problem Session
From Kim Whittlesey
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Taking derivatives of more complicated functions
Math 221 Week 5 Problem Session
From Kim Whittlesey
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Definition of derivative, taking some derivatives
Math 221 Week 4 problem session
From Kim Whittlesey
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Problems on limits, including epsilon-delta
Math 221 Week 3 Problem Session
From Kim Whittlesey
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Week 2: Recording of quiz solutions and a short after-class extra on epsilon-delta.
Math 221 F21 Week 2 Problem Session (edited)
From Kim Whittlesey
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