Insights By Scott Ernst

Project Autodidact

Project Details: https://insightsbyse.com/projectautodidact/

Scott Ernst Bio: https://insightsbyse.com/aboutscotternst/

Project Contact: InsightsBySE@protonmail.com

Progress Report Scope (S01-M01-D02-AllParts)

Stage 1 of 4: Review of Mathematics, Probability, and Statistics

Module 1 of 3: Foundations of Arithmetic and Algebra

Day 2 of 5: Linear Equations and Inequalities

Parts 1 through 10: See below

Summary Of Goals Achieved

1. Reviewed procedures for solving single-variable linear equations
2. Reviewed definition, notation, terminology, components, and concepts of slope and intercept
3. Reviewed procedures for converting a linear equation in two variables in general form to slope-intercept form
4. Reviewed procedures for graphing linear equations in two variables in slop-intercept form
5. Reviewed procedures for solving multi-variable linear equations
6. Reviewed procedures of substitution method for solving a system of linear equations
7. Reviewed procedures of Gaussian elimination method for solving a system of linear equations.  NOTE: Following methods for solving a system of linear equations will be subsequently studied: matrix inversion, Cramer’s rule, LU decomposition, Gauss-Seidel/Jacobi, and software-based (e.g., NumPy)
8. Reviewed definition, notation, terminology, components, and properties of inequalities (trichotomy property, transitive property, addition property, subtraction property, property of multiplication or division by a positive number, property of multiplication or division by a negative number, and additive inverse property)
9. Reviewed procedures for solving single-variable linear inequalities
10. Reviewed rules for interval notation
11. Reviewed procedures for solving word problems with linear equations
12. Reviewed definition, notation, terminology, components, and properties of absolute values (non-negativity property, identity property, symmetry property, multiplicative property, and triangle inequality property)
13. Reviewed procedures for solving single-variable absolute value equations
14. Reviewed procedures for solving single-variable absolute value inequalities
15. Reviewed definition, notation, terminology, components, and concept of piecewise functions
16. Reviewed procedures for using inequalities to set predictive and forecasting model constraints
17. Review definition, notation, terminology, components, and principle of feasible regions in predictive and forecasting models
18. Review definition, notation, terminology, components, and principle of optimization in predictive and forecasting models
19. Review procedures for using linear equations in data preprocessing
20. Review procedures for using linear inequalities in data preprocessing
21. Review procedures for verifying solutions for single-variable and multi-variable linear equations by graphical verification
22. Review procedures for verifying solutions for single-variable and multi-variable linear equations by algebraic verification

Part 1 of 10

Goal 1 Statement: Review procedures for solving single-variable linear equations

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Part 2 of 10

Goal 1 Statement: Review definition, notation, terminology, components, and concepts of slope and intercept

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review procedures for converting a linear equation in two variables in general form to slope-intercept form

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Goal 3 Statement: Review procedures for graphing linear equations in two variables in slop-intercept form

Goal 3 Plan: Read source materials

Goal 3 Work Product: None

Goal 3 Result: Completed

Part 3 of 10

Goal 1 Statement: Review procedures for solving multi-variable linear equations

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review procedures of substitution method for solving a system of linear equations

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Goal 3 Statement: Review procedures of Gaussian elimination method for solving a system of linear equations

Goal 3 Plan: Read source materials

Goal 3 Work Product: None

Goal 3 Result: Completed

NOTE: Following methods for solving a system of linear equations will be subsequently studied: matrix inversion, Cramer’s rule, LU decomposition, Gauss-Seidel/Jacobi, and software-based (e.g., NumPy)

Part 4 of 10

Goal 1 Statement: Review definition, notation, terminology, components, and properties of inequalities (trichotomy property, transitive property, addition property, subtraction property, property of multiplication or division by a positive number, property of multiplication or division by a negative number, and additive inverse property)

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review procedures for solving single-variable linear inequalities

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Goal 3 Statement: Review rules for interval notation

Goal 3 Plan: Read source materials

Goal 3 Work Product: None

Goal 3 Result: Completed

Part 5 of 10

Moved to Part 2 of 10

Part 6 of 10

Goal 1 Statement: Review procedures for solving word problems with linear equations

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Part 7 of 10

Goal 1 Statement: Review definition, notation, terminology, components, and properties of absolute values (non-negativity property, identity property, symmetry property, multiplicative property, and triangle inequality property)

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review procedures for solving absolute value equations

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Goal 3 Statement: Review procedures for solving absolute value inequalities

Goal 3 Plan: Read source materials

Goal 3 Work Product: None

Goal 3 Result: Completed

Goal 4 Statement: Review definition, notation, terminology, components, and concept of piecewise functions

Goal 4 Plan: Read source materials

Goal 4 Work Product: None

Goal 4 Result: Completed

Part 8 of 10

Goal 1 Statement: Review procedures for using inequalities to set predictive and forecasting model constraints

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review definition, notation, terminology, components, and principle of feasible regions in predictive and forecasting models

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Goal 3 Statement: Review definition, notation, terminology, components, and principle of optimization in predictive and forecasting models

Goal 3 Plan: Read source materials

Goal 3 Work Product: None

Goal 3 Result: Completed

Part 9 of 10

Goal 1 Statement: Review procedures for using linear equations in data preprocessing

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review procedures for using linear inequalities in data preprocessing

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Part 10 of 10

Goal 1 Statement: Review procedures for verifying solutions for single-variable and multi-variable linear equations by graphical verification

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review procedures for verifying solutions for single-variable and multi-variable linear equations by algebraic verification

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed