MATH 1432 Lab 04

Meeting Recordings

• Meeting 01 (Jan. 20, 2021): Introduction and Review of FTC

• Meeting 02 (Jan. 22, 2021): Review of "u-substitution" in Integration

• Meeting 03 (Jan 25, 2021): Review of u-substitution" in Integration and the MVT for Integrals

CORRECTION: On the solution for Problem #4 (49:13 in the video), the final answer should be 90, not 80.

• Meeting 04 (Jan. 27, 2021): MVT for Integrals and Computing Areas using Integrals

• Meeting 05 (Jan. 29, 2021): Computing Areas using Integrals

• Meeting 06 (Feb. 01, 2021): Computing Volumes using Integrals Part 1 (Known Cross-sections and the Disk/ Washer Method)

• Meeting 07 (Feb. 03, 2021): Computing Volumes using Integrals Part 2 (Disk/ Washer Method)

• Meeting 08 (Feb. 05, 2021): Computing Volumes using Integrals Part 3 (Cylindrical Shell Method)

• Meeting 09 (Feb. 08, 2021): Computing Arclengths using Integrals

• Meeting 10 (Feb. 10, 2021): Computing Surface Areas and Centroids using Integrals

• Meeting 11 (Feb. 12, 2021): Computing Volumes using Pappus' Theorem

• Meeting 12 (Feb. 22, 2021): Separable Differential Equations and Exponential Growth & Decay

• Meeting 13 (Feb. 24, 2021): Separable Differential Equations and Improper Integrals

• Meeting 14 (Feb. 26, 2021): Review Problems for Test 2

• Meeting 15 (Mar. 01, 2021): Integration by Parts

• Meeting 16 (Mar. 03, 2021): Integration by Parts Pt 2 and Integrating Trigonometric Powers

• Meeting 17 (Mar. 05, 2021): Integrating Powers of Trigonometric Functions Part 2

• Meeting 18 (Mar. 08, 2021): Integration by Trigonometric Substitution

• Meeting 19 (Mar. 10, 2021): Integration by Trig Sub Pt 2 and by Partial Fraction Decomposition

• Meeting 20 (Mar. 12, 2021): Integration by Partial Fraction Decomposition Pt 2

• Meeting 21 (Mar. 22, 2021): Review for Test 3

• Meeting 22 (Mar. 24, 2021): Basic Numerical Integration

• Meeting 23 (Mar. 26, 2021): Additional Review Problems for Test 3 and Sequences

• Meeting 24 (Mar. 29, 2021): Sequences Pt 2

• Meeting 25 (Mar. 31, 2021): Sequences Pt 3

• Meeting 26 (Apr. 02, 2021): Sequences Pt 4

• Meeting 27 (Apr. 05, 2021): Introduction to Infinite Series

• Meeting 28 (Apr. 07, 2021): Infinite Series Pt 2

• Meeting 29 (Apr. 09, 2021): More on the Integral and Comparison Tests

• Meeting 30 (Apr. 12, 2021): The Ratio and Root Tests

• Meeting 31 (Apr. 14, 2021): The Alternating Series Test

• Meeting 32 (Apr. 16, 2021): Absolute Convergence and Power Series

NOTE: There is a mistake in my solution between 36:10 and 42:02. I should have started there with |x^2| <3. The correct solution is explained in the recording of Meeting 33 (see link below) from 1:40 to 5:30.

• Meeting 33 (Apr. 19, 2021): Power Series Pt 2

• Meeting 34 (Apr. 21, 2021): Power Series Pt3 and Taylor Series

• Meeting 35 (Apr. 23, 2021): Taylor Series Expansion Pt 2

• Meeting 36 (Apr. 26, 2021): Intro to Polar Coordinates

• Meeting 37 (Apr. 28, 2021): Areas in Polar Coordinates

• Meeting 38 (Apr. 30, 2021): Areas in Polar Coordinates Pt 2

• Meeting 39 (May 03, 2021): Areas in Polar Coordinates Pt 3 and Intro to Parametric Curves

Blank Worksheets

• Worksheet 01: Review of Integration

• Worksheet 02: MVT for Integrals

• Worksheet 03: Computing Areas and Volumes using Integrals

• Worksheet 04: Computing Arclengths, Surface Areas and Centroids using Integrals and Pappus' Theorem for Volumes

• Worksheet 05: Separable Differential Equations and Exponential Growth and Decay

• Worksheet 06: Improper Integrals

• Worksheet 08: Integration by Parts

• Worksheet 09: Integrating Powers of Trigonometric Functions

• Worksheet 10: Integration using Trigonometric Substitution

• Worksheet 11: Integration by Partial Fraction Decomposition

• Worksheet 13: Numerical Integration

• Worksheet 14: Sequences

• Worksheet 15: Introduction to Series

• Worksheet 16: The Integral and Comparison Tests for Infinite Series

• Worksheet 17: The Ratio and Root Tests

• Worksheet 18: Alternating Series Test and Absolute Convergence

• Worksheet 19: Power Series

• Worksheet 20: Taylor Series Expansion

• Worksheet 21: Introduction to Polar Coordinates

• Worksheet 22: Areas in Polar Coordinates

• Worksheet 23: Parametric Curves