Detailed Chapter Contents (7 Hours of Instruction):
Introduction and User Interface- Lessons 1-4
Basic Calculations- Lessons 5-8
Working with Variables- Lessons 9-14
Essential Mathematical Functions- Lessons 15-18
Working with Complex Numbers- Lessons 19-22
Working with Vectors- Lessons 23-34
Working with Matrices- Lessons 35-48
Algebraic Calculations- Lessons 49 - 53
Calculus Calculations- Lessons 54-58
Basic Graphing- Lessons 59-61
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Detailed Lesson Index:1. Introduction
Sect 1: Overview of the User Interface - Part 1
Sect 2: Overview of the User Interface - Part 2
Sect 3: Overview of the User Interface - Part 3
Sect 4: Using the Help Menus
2. Basic Calculations
Sect 5: Basic Arithmetic and Order of Operations
Sect 6: Exponents and Scientific Notation
Sect 7: Working with Fractions and the Symbolic Math Toolbox - Part 1
Sect 8: Working with Fractions and the Symbolic Math Toolbox - Part 2
3. Working with Variables
Sect 9: Defining and Using Variables
Sect 10: Adding Comments to your Code
Sect 11: Clearing Variables
Sect 12: Adjusting the Display Precision for Calculations
Sect 13: Creating and Storing Symbolic Variables
Sect 14: Using Symbolic Variables in Calculations
4. Essential Mathematical Functions
Sect 15: Factorials, Square Roots, and Nth Roots
Sect 16: Trigonometric Functions and their Inverses
Sect 17: Hyperbolic Functions
Sect 18: Exponentials and Logarithms
5. Working with Complex Numbers
Sect 19: Basic Calculations with Complex Numbers
Sect 20: Calculating the Magnitude and Angle of Complex Numbers
Sect 21: Trig Functions and Logarithms with Complex Numbers
Sect 22: Complex Numbers and the Symbolic Math Toolbox
6. Working with Vectors
Sect 23: Inputting Vectors and Extracting Components
Sect 24: Adding and Subtracting Vectors and Multiplying Vectors by a Scalar
Sect 25: Calculating the Vector Dot Product and Cross Product
Sect 26: Finding the Length and Sum of a Vector
Sect 27: Extracting a Subset of Vector Elements
Sect 28: Creating Vectors with Evenly Spaced Elements
Sect 29: Joining Vectors Together
Sect 30: Multiplying and Dividing Vectors Element-by-Element
Sect 31: Applying Math Functions Element-by-Element
Sect 32: Creating Vectors with Random Elements
Sect 33: Calculating Mean, Median, and Standard Deviation of Data in a Vector
Sect 34: Working with Vectors using the Symbolic Math Toolbox
7. Working with Matrices
Sect 35: Inputting Matrices and Extracting Elements - Part 1
Sect 36: Inputting Matrices and Extracting Elements - Part 2
Sect 37: Adding and Subtracting Matrices
Sect 38: Multiplying Matrices
Sect 39: Multiplying and Dividing Matrices Element-by-Element
Sect 40: Finding the Matrix Length, Size, and Sum of Elements
Sect 41: Joining Matrices Together
Sect 42: Applying Mathematical Functions to Matrices
Sect 43: Creating an Identity Matrix
Sect 44: Matrix Transpose, Diagonal Elements, and LU Decomposition
Sect 45: Solving a System of Equations using Matrix Row Reductions
Sect 46: Matrix Determinant, Inverse, Trace, Rank, and Solving Linear Systems
Sect 47: Matrix Norm, Eigenvalues, and the Characteristic Polynomial
Sect 48: Matrices and the Symbolic Math Toolbox
8. Algebraic Calculations
Sect 49: Solving Algebraic Equations
Sect 50: Solving Systems of Linear Equations
Sect 51: Solving Algebraic Equations Symbolically
Sect 52: Solving Systems of Algebraic Equations Symbolically
Sect 53: Defining Mathematical Functions
9. Calculus Calculations
Sect 54: Taking Derivatives in Calculus
Sect 55: Evaluating Derivatives at a Point
Sect 56: Taking Partial Derivatives in Calculus
Sect 57: Indefinite and Definite Integrals
Sect 58: Taking Limits in Calculus
10. Basic Graphing
Sect 59: Basic Scatter Plots
Sect 60: Plotting Functions
Sect 61: Changing Plot Appearance