Project Autodidact
Project Details: https://insightsbyse.com/projectautodidact/
Scott Ernst Bio: https://insightsbyse.com/aboutscotternst/
Project Contact: InsightsBySE@protonmail.com
Progress Report Scope (S01-M03-D02-AllParts)
Stage 1 of 4: Review of Mathematics, Probability, and Statistics
Module 3 of 3: Linear Algebra, Calculus, and Applications
Day 2 of 5: Limits and Continuity
Parts 1 through 6: See below (NOTE: Only 6 parts for these topics)
Summary Of Goals Achieved
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of limits in calculus, including one-sided limits
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability for evaluating limits of functions
- Reviewed how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for evaluating limits of functions
- Reviewed similarities and differences between evaluating limits in calculus at a finite point and at infinity
- Reviewed similarities and differences between methods for evaluating limits in calculus at a finite point
- Reviewed similarities and differences between methods for evaluating limits in calculus at infinity
- Reviewed similarities and differences between methods for evaluating indeterminate limits in calculus, including squeeze theorem
- Reviewed definition, concepts, notation, terminology, components, properties, and analysis of horizontal asymptotes in limits in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, and analysis of discontinuous holes in limits in calculus, including applicability of removability
- Reviewed definition, concepts, notation, terminology, components, properties, and analysis of discontinuous jumps in limits in calculus, including applicability of removability
- Reviewed definition, concepts, notation, terminology, components, properties, and analysis of discontinuous vertical asymptotes in limits in calculus, including applicability of removability
- Reviewed how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for evaluating limits of functions at a finite point
- Reviewed how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for evaluating limits of functions at infinity
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the sum law for limits in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the difference law for limits in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the constant multiple law for limits in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the product law for limits in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the quotient law for limits in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the power law for limits in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the root law for limits in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, applicability, and procedures for using limits in calculus for identifying and analyzing convergent and divergent sequences in data
- Reviewed definition, concepts, notation, terminology, components, properties, applicability, and procedures for using limits in calculus for identifying, extrapolating, and analyzing trends in data (as distinguished from patterns in data)
- Reviewed definition, concepts, notation, terminology, components, properties, applicability, and procedures for using limits in calculus for identifying, extrapolating, and analyzing patterns in data (as distinguished from trends in data)
- Reviewed how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for identifying and analyzing convergent and divergent sequences in data
- Reviewed how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for identifying, extrapolating, and analyzing trends in data (as distinguished from patterns in data)
- Reviewed how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for identifying, extrapolating, and analyzing patterns in data (as distinguished from trends in data)
- Reviewed definition, concepts, notation, terminology, components, properties, applicability, and procedures for using limits in calculus for determining continuity for applying the Intermediate Value Theorem
- Reviewed definition, concepts, notation, terminology, components, properties, applicability, and procedures for using limits in calculus for determining continuity for applying the Intermediate Value Theorem for confirming the existence of roots
- Reviewed how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for interval analysis
- Reviewed definition, concepts, notation, terminology, components, properties, applicability, and procedures for interpreting limits in calculus in optimization contexts
- Reviewed how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for interpreting limits in calculus in optimization contexts
Part 1 of 6
Goal 1 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of limits in calculus, including one-sided limits
Goal 1 Plan: Read source materials
Goal 1 Work Product: None
Goal 1 Result: Completed
Goal 2 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability for evaluating limits of functions
Goal 2 Plan: Read source materials
Goal 2 Work Product: None
Goal 2 Result: Completed
Goal 3 Statement: Review how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for evaluating limits of functions
Goal 3 Plan: Read source materials
Goal 3 Work Product: None
Goal 3 Result: Completed
Part 2 of 6
Goal 1 Statement: Review similarities and differences between evaluating limits in calculus at a finite point and at infinity
Goal 1 Plan: Read source materials
Goal 1 Work Product: None
Goal 1 Result: Completed
Goal 2 Statement: Review similarities and differences between methods for evaluating limits in calculus at a finite point
Goal 2 Plan: Read source materials
Goal 2 Work Product: None
Goal 2 Result: Completed
Goal 3 Statement: Review similarities and differences between methods for evaluating limits in calculus at infinity
Goal 3 Plan: Read source materials
Goal 3 Work Product: None
Goal 3 Result: Completed
Goal 4 Statement: Review similarities and differences between methods for evaluating indeterminate limits in calculus, including squeeze theorem
Goal 4 Plan: Read source materials
Goal 4 Work Product: None
Goal 4 Result: Completed
Goal 5 Statement: Review definition, concepts, notation, terminology, components, properties, and analysis of horizontal asymptotes in limits in calculus
Goal 5 Plan: Read source materials
Goal 5 Work Product: None
Goal 5 Result: Completed
Goal 6 Statement: Review definition, concepts, notation, terminology, components, properties, and analysis of discontinuous holes in limits in calculus, including applicability of removability
Goal 6 Plan: Read source materials
Goal 6 Work Product: None
Goal 6 Result: Completed
Goal 7 Statement: Review definition, concepts, notation, terminology, components, properties, and analysis of discontinuous jumps in limits in calculus, including applicability of removability
Goal 7 Plan: Read source materials
Goal 7 Work Product: None
Goal 7 Result: Completed
Goal 8 Statement: Review definition, concepts, notation, terminology, components, properties, and analysis of discontinuous vertical asymptotes in limits in calculus, including applicability of removability
Goal 8 Plan: Read source materials
Goal 8 Work Product: None
Goal 8 Result: Completed
Goal 9 Statement: Review how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for evaluating limits of functions at a finite point
Goal 9 Plan: Read source materials
Goal 9 Work Product: None
Goal 9 Result: Completed
Goal 10 Statement: Review how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for evaluating limits of functions at infinity
Goal 10 Plan: Read source materials
Goal 10 Work Product: None
Goal 10 Result: Completed
Part 3 of 6
Goal 1 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of the sum law for limits in calculus
Goal 1 Plan: Read source materials
Goal 1 Work Product: None
Goal 1 Result: Completed
Goal 2 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of the difference law for limits in calculus
Goal 2 Plan: Read source materials
Goal 2 Work Product: None
Goal 2 Result: Completed
Goal 3 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of the constant multiple law for limits in calculus
Goal 3 Plan: Read source materials
Goal 3 Work Product: None
Goal 3 Result: Completed
Goal 4 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of the product law for limits in calculus
Goal 4 Plan: Read source materials
Goal 4 Work Product: None
Goal 4 Result: Completed
Goal 5 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of the quotient law for limits in calculus
Goal 5 Plan: Read source materials
Goal 5 Work Product: None
Goal 5 Result: Completed
Goal 6 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of the power law for limits in calculus
Goal 6 Plan: Read source materials
Goal 6 Work Product: None
Goal 6 Result: Completed
Goal 7 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of the root law for limits in calculus
Goal 7 Plan: Read source materials
Goal 7 Work Product: None
Goal 7 Result: Completed
Part 4 of 6
Goal 1 Statement: Review definition, concepts, notation, terminology, components, properties, applicability, and procedures for using limits in calculus for identifying and analyzing convergent and divergent sequences in data
Goal 1 Plan: Read source materials
Goal 1 Work Product: None
Goal 1 Result: Completed
Goal 2 Statement: Review definition, concepts, notation, terminology, components, properties, applicability, and procedures for using limits in calculus for identifying, extrapolating, and analyzing trends in data (as distinguished from patterns in data)
Goal 2 Plan: Read source materials
Goal 2 Work Product: None
Goal 2 Result: Completed
Goal 3 Statement: Review definition, concepts, notation, terminology, components, properties, applicability, and procedures for using limits in calculus for identifying, extrapolating, and analyzing patterns in data (as distinguished from trends in data)
Goal 3 Plan: Read source materials
Goal 3 Work Product: None
Goal 3 Result: Completed
Goal 4 Statement: Review how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for identifying and analyzing convergent and divergent sequences in data
Goal 4 Plan: Read source materials
Goal 4 Work Product: None
Goal 4 Result: Completed
Goal 5 Statement: Review how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for identifying, extrapolating, and analyzing trends in data (as distinguished from patterns in data)
Goal 5 Plan: Read source materials
Goal 5 Work Product: None
Goal 5 Result: Completed
Goal 6 Statement: Review how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for identifying, extrapolating, and analyzing patterns in data (as distinguished from trends in data)
Goal 6 Plan: Read source materials
Goal 6 Work Product: None
Goal 6 Result: Completed
Part 5 of 6
Goal 1 Statement: Review definition, concepts, notation, terminology, components, properties, applicability, and procedures for using limits in calculus for determining continuity for applying the Intermediate Value Theorem
Goal 1 Plan: Read source materials
Goal 1 Work Product: None
Goal 1 Result: Completed
Goal 2 Statement: Review definition, concepts, notation, terminology, components, properties, applicability, and procedures for using limits in calculus for determining continuity for applying the Intermediate Value Theorem for confirming the existence of roots
Goal 2 Plan: Read source materials
Goal 2 Work Product: None
Goal 2 Result: Completed
Goal 3 Statement: Review how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for interval analysis
Goal 3 Plan: Read source materials
Goal 3 Work Product: None
Goal 3 Result: Completed
Part 6 of 6
Goal 1 Statement: Review definition, concepts, notation, terminology, components, properties, applicability, and procedures for interpreting limits in calculus in optimization contexts
Goal 1 Plan: Read source materials
Goal 1 Work Product: None
Goal 1 Result: Completed
Goal 2 Statement: Review how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for interpreting limits in calculus in optimization contexts
Goal 2 Plan: Read source materials
Goal 2 Work Product: None
Goal 2 Result: Completed
Insights By Scott Ernst 