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-D04-AllParts)
Stage 1 of 4: Review of Mathematics, Probability, and Statistics
Module 3 of 3: Linear Algebra, Calculus, and Applications
Day 4 of 5: Integrals and Applications
Parts 1 through 4: See below (NOTE: Only 4 parts for these topics)
Summary Of Goals Achieved
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of an integral in calculus
- Reviewed similarities and differences between indefinite integrals and definite integrals in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the constant rule for integrals in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the constant multiple law for integrals in calculus, including any distinctions between solving indefinite integrals and evaluating definite integrals
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the sum and difference law for integrals in calculus, including any distinctions between solving indefinite integrals and evaluating definite integrals
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the power rule for integrals in calculus, including any distinctions between solving indefinite integrals and evaluating definite integrals
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the inverse product rule for integrals in calculus (aka integration by parts), including any distinctions between solving indefinite integrals and evaluating definite integrals
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of techniques for solving quotients for indefinite integrals and evaluating quotients for definite integrals in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the substitution rule for integrals in calculus (aka inverse chain rule), including any distinctions between solving indefinite integrals and evaluating definite integrals
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of the Fundamental Theorem of Calculus, including any distinctions between application to the indefinite integrals and definite integrals
- Reviewed how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for solving indefinite integrals and evaluating definite integrals in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of an integral formulas in calculus commonly used in predictive models (as distinguished from forecasting models)
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of an integral formulas in calculus commonly used in forecasting models (as distinguished from predictive models)
- Reviewed how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for integral formulas in calculus
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of using integrals in calculus to calculate the probability density function (PDF)
- Reviewed definition, concepts, notation, terminology, components, properties, and applicability of using cumulative integrals in calculus to calculate the cumulative distribution function (CDF)
- Reviewed how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for using integrals in calculus to calculate the probability density function (PDF) and using cumulative integrals in calculus to calculate the cumulative distribution function (CDF)
- Reviewed similarities and differences among applicability of numerical integration techniques for approximating an integral in calculus (Midpoint Rule, Trapezoidal Rule, and Simpson’s Rule)
- Reviewed definition, concepts, notation, terminology, components, properties, applicability, and procedures for using numerical integration techniques for approximating an integral in calculus (Midpoint Rule, Trapezoidal Rule, and Simpson’s Rule)
- Reviewed how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for using numerical integration techniques for approximating an integral in calculus (Midpoint Rule, Trapezoidal Rule, and Simpson’s Rule)
Part 1 of 4
Goal 1 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of an integral in calculus
Goal 1 Plan: Read source materials
Goal 1 Work Product: None
Goal 1 Result: Completed
Goal 2 Statement: Review similarities and differences between indefinite integrals and definite integrals 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 rule for integrals 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 constant multiple law for integrals in calculus, including any distinctions between solving indefinite integrals and evaluating definite integrals
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 sum and difference law for integrals in calculus, including any distinctions between solving indefinite integrals and evaluating definite integrals
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 rule for integrals in calculus, including any distinctions between solving indefinite integrals and evaluating definite integrals
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 inverse product rule for integrals in calculus (aka integration by parts), including any distinctions between solving indefinite integrals and evaluating definite integrals
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 applicability of techniques for solving quotients for indefinite integrals and evaluating quotients for definite integrals in calculus
Goal 8 Plan: Read source materials
Goal 8 Work Product: None
Goal 8 Result: Completed
Goal 9 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of the substitution rule for integrals in calculus (aka inverse chain rule), including any distinctions between solving indefinite integrals and evaluating definite integrals
Goal 9 Plan: Read source materials
Goal 9 Work Product: None
Goal 9 Result: Completed
Goal 10 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of the Fundamental Theorem of Calculus, including any distinctions between application to the indefinite integrals and definite integrals
Goal 10 Plan: Read source materials
Goal 10 Work Product: None
Goal 10 Result: Completed
Goal 11 Statement: Review how Python, Julia, R, SQL, and other computer programming languages and applications are utilized for solving indefinite integrals and evaluating definite integrals in calculus
Goal 11 Plan: Read source materials
Goal 11 Work Product: None
Goal 11 Result: Completed
Part 2 of 4
Goal 1 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of an integral formulas in calculus commonly used in predictive models (as distinguished from forecasting models)
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 an integral formulas in calculus commonly used in forecasting models (as distinguished from predictive models)
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 integral formulas in calculus
Goal 3 Plan: Read source materials
Goal 3 Work Product: None
Goal 3 Result: Completed
Part 3 of 4
Goal 1 Statement: Review definition, concepts, notation, terminology, components, properties, and applicability of using integrals in calculus to calculate the probability density function (PDF)
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 using cumulative integrals in calculus to calculate the cumulative distribution function (CDF)
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 using integrals in calculus to calculate the probability density function (PDF) and using cumulative integrals in calculus to calculate the cumulative distribution function (CDF)
Goal 3 Plan: Read source materials
Goal 3 Work Product: None
Goal 3 Result: Completed
Part 4 of 4
Goal 1 Statement: Review similarities and differences among applicability of numerical integration techniques for approximating an integral in calculus (Midpoint Rule, Trapezoidal Rule, and Simpson’s Rule)
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 numerical integration techniques for approximating an integral in calculus (Midpoint Rule, Trapezoidal Rule, and Simpson’s Rule)
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 using numerical integration techniques for approximating an integral in calculus (Midpoint Rule, Trapezoidal Rule, and Simpson’s Rule)
Goal 3 Plan: Read source materials
Goal 3 Work Product: None
Goal 3 Result: Completed
Insights By Scott Ernst 