Handouts for M 408D -- Shirley
Projected Written Notes for Lectures for M 408D, Spring 2024
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Lecture on the Canvas Course, the Syllabus, Integration by using "u-substitution" and "Integration by Parts" -- Projected Written Notes from Tuesday, January 16, 2024
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Lecture on More on "Integration by Parts" and Sec 7.2 - Integrating Products and Powers of Trig Functions --
Projected Written Notes from Thursday, January 18, 2024
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Lecture on Integrating using Trig Substitution and the Limit Theorem Shown in Class --
Projected Written Notes from Tuesday, January 23, 2024
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Lecture on Partial Fraction Decompositions (PFDs) of Rational Functions and an Introduction to
Improper Integrals -- Projected Written Notes from Thursday, January 25, 2024
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Lecture on Sec 7.8: Improper Integrals, on Sec 11.1: Sequences, and on Sec 11.2: First Notes on Series --
Projected Written Notes from Tuesday, January 30, 2024
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Lecture on Geometric Series, on the Test for Divergence, on p-Series, and on the Integral Test --
Projected Written Notes from Thursday, February 1, 2024
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Lecture on The Level of Error, Section 11.4: The Comparison Test, and Section 11.5: Alternating Series --
Projected Written Notes from Tuesday, February 6, 2024
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Lecture on The Limit Comparison Test, More on Alternating Series, Absoute Convergence vs. Conditional Convergence, and Sec 11.6-- Tests
for Absolute Convergence: The Ratio Test and The Root Test --
Projected Written Notes from Tuesday, February 13, 2024
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Lecture on Power Series (centered at a) and Power Series Representations (PSRs) --
Projected Written Notes from Thursday, February 15, 2024
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Lecture on More on Power Series Representations (PSRs) --
Projected Written Notes from Tuesday, February 20, 2024
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Lecture on Taylor Series, Taylor Polynomials and Curves Described by Parametric Equations --
Projected Written Notes from Thursday, February 22, 2024
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The Projected Written Notes from the Video: Conic Sections: Parabolas
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The Projected Written Notes from the Video: Conic Sections: Ellipses
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The Projected Written Notes from the Video: Conic Sections: Hyperbolas
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Lecture on Sec 10.1: Curves Defined by Parametric Equations, and Sec 10.2: Calculus with Parametric Equations -- Projected Written Notes from Tuesday, February 27, 2024
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Lecture on Sec 10.3: Graphing in Polar Coordinates, and Sec 10.4: Areas in Polar Coordinates -- Projected Written Notes from Thursday, February 29, 2024
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Lecture on Section 9.1 - An Introduction to Differential Equations and Initial Value Problems (IVPs), and Sec 9.3: Separable Differential Equations -- Projected Written Notes from Tuesday, March 5, 2024
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Lecture on Solution Curves of a D.E., The DE: P' = k P , and an Application of a Separable Differential Equation -- Projected Written Notes from Tuesday, March 19, 2024
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Lecture on Sec 9.2 - Direction Fields (Slope Fields), Autonomous DEs, and on Sec 9.3 - a Separable Differential Equation Application -- Projected Written Notes from Tuesday, March 21, 2024
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Lecture on Sec 9.2 - Euler's Method; and on Sec 9.5 - Linear 1st-Order Differential Equations -- Projected Written Notes from Tuesday, March 26, 2024
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Lecture on Sec 0.5: A Linear First-Order Differential Equation Application, and Sec 9.4: The Logistics Model of Population Growth
-- Projected Written Notes from Thursday, March 28, 2024
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Lecture on Sections 14.1 - 14.3: Functions of Several Variables, Their Domains, Graphs, Level Curves, and Partial Derivatives -- Projected Written Notes from Tuesday, April 2, 2024
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Lecture on the Total Differential dz and on the Multi-Variable Chain Rule -- Projected Written Notes from Thursday, April 4, 2024
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Lecture on Section 15.1: The Double Integral over a Rectangle as a Limit of Double Riemann Sums and Calculating its Value Using Iterated Integrals
-- Projected Written Notes from Tuesday, April 9, 2024
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Lecture on Section 15.2: The Double Integral over More General Regions
-- Projected Written Notes from Tuesday, April 16, 2024
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Lecture on Section 15.3 - The Double Integral in Polar Coordinates -- Projected Written Notes from Thursday, April 18, 2024
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Lecture on Section 15.5 - Calculating Surface Area on the Surface Graph of a Function
-- Projected Written Notes from Tuesday, April 23, 2024
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Lecture with a Review of Power Series Representations -- Projected Written Notes from Thursday, April 25, 2024