Plotting Lines by Hand – Easy Hard Science

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Problem Set #1

syllabus

Getting Started
Problem Set 1: Plotting Lines by Hand
- Plotting Lines by Hand
- PS1.1 The 45 degree Lines
- PS1.2 Lines Rotated Toward Vertical
- PS1.3 Lines Rotates Toward Horizontal
- 4 Quadrants (Correction)
- PS1.4 Equation for a Line
- PS1.5 What’s the slope?
- PS1.6 The Constant Is the y-intercept, b
- PS1.7-8 Familes of Lines Rotated Toward Horizontal
- PS1.9-10 Familes of Lines Rotated Toward Vertical
- PS1.11 Lines Not Through the Origin
- PS1.12 -13 What’s the slope and intercept?
- PS1.14 Plotting Parallel Lines at 45 degrees
- PS1.15 Plotting Parallel Lines at -45 degrees
- PS1.16 Plotting Parallel Lines
- PS1.17 You Gotta Have y Alone on the Left
- PS1.18 Free(hand) Style
Problem Set 2: Plotting Lines and Simple Parabolas with a Computer
- Plotting Lines and Simple Parabolas with a Computer
- PS2.1 Plotting Symmetric Lines by Hand
- Graphing with desmos.com/calculator
- PS2.2 Plotting Symmetric Lines with a Computer
- PS2.3 Plotting More Symmetric Lines with a Computer
- PS2.4 Horizontal and Vertical Lines
- PS2.5 Inscribing a Shape with Lines
- PS2.6 Analysis of a Parabola
- PS2.7-8 Plotting Parabolas with a Computer
Problem Set 3: Plotting Polynomial Functions
- Plotting Polynomial Functions
- PS3.1 Domain, Range and Functions
- PS3.2 Four basic parabolas
- PS3.3 Saying f(x) Is the Same as y… for Functions
- PS3.4-5 Lines are Functions (with One Exception)
- PS3.6 Four Basic Absolute Values
- PS3.7 Four Basis Cubics
- PS3.8 Zeros for Cubics
- PS3.9 Multiplicity for Cubics
- PS3.10 Cubics That Aren’t Already Factored
- PS3.11 Limiting Behavior for Even Powers
- PS3.12 Limiting Behavior for Odd Powers
- PS3.13 Polynomials with Multiplicity 1
- PS3.14 Polynomials with Multiplicity 1, 2 & 3
Problem Set 4: Plotting Parabolas by Hand Using the Vertex
- Plotting Parabolas by Hand Using the Vertex
- PS4.1 Plotting Some Points on a Parabola
- PS4.2 f(x) Is the Same Thing as y
- PS4.3-4 Wider and Narrower Parabolas
- PS4.5-6 Moving the Parabola Up and Down
- PS4.7-8 Moving the Downward Opening Parabola Up and Down
- PS4.9 Moving the Parabola Left
- PS4.10 Moving the Parabola Right
- PS4.11 Plotting a Parabola with the Vertex and Checking the Zeros
- PS4.12 Plotting a Parabola with the Vertex and Zeros
Problem Set 5: Modeling with the Parabola
- Modeling with the Parabola
- PS5.1 Parabolic Flight Paths
- PS5.2 The Fully Adjustable Parabola
- PS5.3 Satellite Dish Designs
Problem Set 6: Plotting Conic Sections
- Plotting Conic Sections
- PS6.1 Distance Formula
- PS6.2-3 The Circle
- PS6.4 Radius and Center for Circles
- PS6.5 Standard Form for the Circle
- PS6.6 The Ellipse
- How to Make an Ellipse
- PS6.7 Standard Form for the Ellipse
- PS6.8 Plotting Ellipses
- PS6.9 Plotting Vertical Asymptotes
- PS6.10 Analyzing Asymptotes
- PS6.11-12 Standard Form for the Hyperbolas
Problem Set 7: Logs and Exponential Functions
- Logarithms are Exponents
- PS7.1-4 Exponents Stuff You Already Know
- PS7.5-6 Log Means the Exponent
- PS7.7 Semi-log plots: Element Abundance
- PS7.8 Log scale: The Richter Scale
- PS7.9 Log Table: Positive Values
- PS7.11 Log Table: Negative Values
- PS7.12 and PS 7.10 More Logs
- PS7.13 Logs of Scientific Numbers
- PS7.14-15 Logs with Other Bases
- PS7.16a Exponential Functions and e (Euler’s Number)
- PS7.16b Freehanding Exponential Functions
- How Many Digits in a Big Number?
- PS7.17 Number of Digits
- PS7.18 pH from Acidity
- PS7.19 Acidity from pH
- PS7.20 More About pH
- PS7.21a Compound Interest Plots
- PS7.21b Compound Interest Calculation
- P7.22a Mortgage Payments
- P7.22b Inflation
- P7.23a Cell Growth Plots
- P7.23b Cell Growth Calculation
- P7.24 Radioactive Decay
- P7.24 Radioactive Decay Calculation
- P7.25 Radiocarbon Dating
Problem Set 8: Vectors and Complex Numbers
- Roadmap for Vectors and Complex Numbers
- PS8.1 Row and Column Vectors
- PS8.2-4 Notation, Dimensions and Transpose
- PS8.5a Plotting Vectors
- PS8.5b (part 1) Plotting Vectors
- PS8.5b (part 2) Plotting Vectors
- PS8.6 Vector Addition
- PS8.7a A Voyage by Boat
- PS8.7b A Voyage by Plane
- PS8.7c Resultant Vectors
- PS8.8 Scalar Multiplication
- PS8.9 Unit Vectors
- PS8.10 Dot (Inner) Product
- PS8.11 Inner Dimensions Must Match for Dot Product
- PS8.12-13 Real vs Imaginary vs Complex Numbers
- PS8.14 Imaginary Numbers from Square Roots of Negative Numbers
- PS8.15 Simplifying Complex Numbers
- PS8.16 Adding Complex Numbers
- PS8.17 Multiplying Complex Numbers
- PS8.18 Powers for Complex Numbers
- PS8.19 Distributing Complex Numbers
- PS8.20 Plotting Parabolas (No Zeros)
- PS8.20 Complex Solutions for the Quadratic
- PS8.20 Using a Quadratic Solver
- PS8.21-22 A Little Bit About Series
Problem Set 9: Matrices and Systems of Equations
- Matrix Analysis
- PS9.1 Matrix Rows, Columns, Transpose
- PS9.2 Matrix Multiplication
- PS9.3 Multiplying to Produce a 2×2 Identity Matrix
- PS9.4 Multiplying by a 2×2 Identity Matrix
- PS9.5 Inverse of a 2×2 Matrix
- PS9.6ab Solving a 2×2 System using Substitution
- PS9.6c Solving a 2×2 System using Matrices
- PS9.6d Solving a 2×2 System using the Computer
- PS9.7 Setting Up the Matrices
- PS9.7 Solving with the Computer
- PS9.8 More Matrix Multiplication
- PS9.9 Multiplying to Produce a 3×3 Identify Matrix
- PS9.10 Multiplying by a 3×3 Identity Matrix
- PS9.11 Inverse of a 3×3 Matrix (very tedious)
- PS9.12ab Solving a 3×3 System using Substitution
- PS9.12c Solving a 3×3 System using Matrices
- PS9.12d Solving a 3×3 System using a Computer
- PS9.12d Solving a 3×3 System using a Computer (Audio Fixed)
- PS9.13 Setting Up the Matrices
- PS9.13 Solving with the Computer
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