MATH 1431 LAB 61/62 Files Repository

Note that these videos and worksheets are designed as supplementary materials to a lecture component. It is assumed that the major concepts and most technical details are already tackled in the lecture. However, a quick overview/review of the important points is done at the beginning of the videos.

Live Lab Meeting Recordings

• Meeting 01 (Aug. 24, 2020) Precalculus Review Problems

• Meeting 02 (Aug. 26, 2020) Precalculus Review Problems and the Concept of the Limit

• Meeting 03 (Aug. 31, 2020) Evaluating Basic Limits

• Meeting 04 (Sept. 02, 2020) Limits at Infinity and Continuity

• Meeting 04 Bonus (Sept. 04, 2020) Solution to Problem 36 in Worksheet 04

• Meeting 05 (Sept. 09, 2020) One-sided Continuity, IVT and Trigonometric Limits

• Meeting 06 (Sept.14, 2020) Trigonometric Limits and the Concept of the Derivative

• Meeting 07 (Sept. 16, 2020) Concept of the Derivative Part 2

• Meeting 08 (Sept. 21, 2020) Differentiation Rules Part 1

• Meeting 09 (Sept. 23, 2020) Differentiation Rules Part 2

• Meeting 10 (Sept. 28, 2020) Implicit Differentiation

• Meeting 11 (Sept. 30, 2020) Test 2 Review

• Meeting 12 (Oct. 5, 2020) Related Rates

• Meeting 13 (Oct. 07, 2020) Free Fall and Rectilinear Motion and The Mean Value and Rolle's Theorem : IMPORTANT NOTE: THERE IS A MISTAKE IN THE SOLUTION IN THE 46:00 MARK OF THE VIDEO, IT SHOULD HAD BEEN x'(t) = 9t^2-24t-30 instead of x'(t) = 9t^2-18t-30. AS SUCH THE REST OF THE SOLUTION UNTIL 57:20 IS INCORRECT. THE CORRECTION IS REFLECTED IN THESE ANNOTATED NOTES. You can also watch this video from 14:22 to 32:50 to see the correct solution.

• Meeting 14 (Oct. 12, 2020) Intervals of Increase and Decrease and Local Extreme Values (Part 1)

• Meeting 15 (Oct. 14, 2020) Local Extreme Values (Part 2) and Concavity

• Meeting 16 (Oct. 19, 2020) [Free Discussion] Vertical Tangent and Cusp, MVT Review

• Meeting 17 (Oct. 21, 2020) Test 3 Review

• Meeting 18 (Oct. 26, 2020) Review of Inverse Functions and of Exponential Functions

• Meeting 19 (Oct. 28, 2020) Review of Logarithmic Functions, Derivative of the Inverse Function and the Derivative of Exponential Functions

• Meeting 20 (Nov. 02, 2020) Derivatives of Some Transcendental Functions (Part 1) IMPORTANT NOTE: THERE IS A MISTAKE IN THE SOLUTION IN THE 1:03:46 MARK OF THE VIDEO. I forgot to apply the CHAIN RULE in the very first differentiation I performed. AS SUCH THE REST OF THE SOLUTION UNTIL 1:07:55 IS INCORRECT. THE CORRECTION IS REFLECTED IN THESE ANNOTATED NOTES 14 . You can also watch this video from 52:30 to 55:47 to see the correct solution.

• Meeting 21 (Nov. 04, 2020) Derivatives of Some Transcendental Functions (Part 2)

• Meeting 22 (Nov. 09, 2020) Optimization Problems IMPORTANT NOTE: THERE IS A MISTAKE IN THE SOLUTION IN THE 1:05:33 MARK OF THE VIDEO. I mistakenly used x = 8/3 instead of the computed critical number x = 3/2. AS SUCH THE REST OF THE SOLUTION UNTIL 1:07:04 IS INCORRECT. THE CORRECTION IS REFLECTED IN THESE ANNOTATED NOTES 15 . You can also watch this video from 19:10 to 22:08 to see the correct solution.

• For Meeting 23: Unfortunately, I forgot to hit record during Lab meeting 23 (Nov. 11, 2020). In lieu of that, please watch the video recording of my other class which covered exactly the same problems. Ignore the popper quiz though, it's just for their class.

  • My other Lab's Meeting 34 (Nov. 11, 2020) Optimization Problems Part 2 and Differentials

  • My other Lab's Meeting 35 (Nov.13, 2020) Differentials Part 2 and L'Hospital's Rule

• Meeting 24 (Nov. 16, 2020) L'Hospital's Rule Part 2 and Review for Test 4 Part 1

• Meeting 25 (Nov. 18, 2020) Review for Test 4 Part 2

• Meeting 26 (Nov. 23, 2020) The Riemann Sum

• Meeting 27 (Nov. 30, 2020) The Fundamental Theorem of Calculus and Basic Integration Rules

• Meeting 28 (Dec. 02, 2020) Basic Integration Rules Part 2 and Integration by Substitution

Annotated Worksheets/ Class Notes

• Worksheet 01 (Aug. 24 and 26, 2020) Precalculus Review Problems

• Worksheet 02 (Aug. 29, 2020) Precalculus Review Problems

• Worksheet 03 (Aug. 26, 2020) Concept of Limits

• Worksheet 04 (Aug. 31 to Sept. 02, 2020) Evaluating Basic Limits and the Concept of Continuity

• Worksheet 05 (Sept. 09, 2020) One-sided Continuity and IVT

• Worksheet 06 (Sept. 09 to 14, 2020) Limits of Some Trigonometric Functions

• Worksheet 07 (Sept. 14-16, 2020) Definition of the Derivative

• Worksheet 08 (Sept. 21-23, 2020) Differentiation Rules

• Worksheet 09 (Sept. 28, 2020) Implicit Differentiation

• Worksheet 10 (Oct. 05-07, 2020) Related Rates, Rectilinear Motion, MVT and Rolle's Theorem (corrected)

• Worksheet 11 (Oct. 12-14, 2020) Intervals of Increase/ Decrease, Extreme Values and Concavity

• Worksheet 12 (Oct. 19, 2020) [Free discussion] Vertical Tangent and Cusp, MVT Review

• Worksheet 13 (Oct. 26-28, 2020) Review of Inverse Functions and of Exponential and Logarithmic Functions

• Worksheet 14 (Nov. 02-04, 2020) Derivatives of Some Transcendental Functions

• Worksheet 15 (Nov. 09-16, 2020) Further Applications of Derivatives

• Worksheet 16 (Nov. 16, 2020) Review Problems for Test 4

• Worksheet 17 (Nov. 23, 2020) The Riemann Sum

• Worksheet 18 (Nov. 30 to Dec. 02, 2020) The Fundamental Theorem of Calculus, Basic Integration Rules & Integration by Substitution

Worksheets (Unannotated version)

• Worksheet 01

• Worksheet 02

• Worksheet 03

• Worksheet 04

• Worksheet 05

• Worksheet 06

• Worksheet 07

• Worksheet 08

• Worksheet 09

• Worksheet 10

• Worksheet 11

• Worksheet 15

• Worksheet 16

• Worksheet 18