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- AIM 5113
- AI and Literature: Text Analysis, Generation, and Critique
- AI and the Creative Arts: Exploring New Frontiers
- AI in Healthcare: Improving Outcomes and Reducing Disparities
- AI in Language and Communication: NLP and GPT-4
- A Topology Given By A Metric
- Abel’s Theorem
- Absolute Value Functions
- Absolute Value and the Real Line
- Absolute change (additive reasoning) & Relative change (multiplicative reasoning)
- Abstract Algebra: Groups
- Abstract Algebra: Homomorphisms
- Abstract Algebra: Preliminaries
- Accumulated Change
- Addition Algorithms
- Addition and subtraction of fractions
- Addition and subtraction of integers
- Adjusting claims and hypothesis
- Algebraic Expressions
- Algebraic Structure of the Real Numbers
- Algebraic graphing technics
- Algebraic graphing techniques
- Alternating Series
- Angles and their measure
- Annuities
- Antiderivatives
- Applications
- Applications of Derivatives
- Applications of Integrals
- Applications of Multiple Integrals
- Applied Optimization Problems
- Approximating Areas
- Arc Length
- Arc Length and Surface Area
- Arc Lengths
- Area between Curves
- Area by Double Integration
- Area of Polygons - Formulas
- Area of a Triangle
- Area of a rectangle
- Areas of basic shapes
- Average
- Baire's Theorem and Applications
- Base 10, Base 2 & Base 5
- Bases of Open Sets
- Basic Physics (Mass, Force, Work, Newton's Second Law, Hooke's Law)
- Basic graphing skills
- Bernoulli Equations (1st Order)
- Bias and Fairness in AI: Challenges and Solutions
- Big Data and Privacy: Balancing Utility and Ethics
- Bounded Functions
- Bounded Sets and Bounded Functions in a Metric Space
- Bounded sets in Higher Dimensions
- Cardinality
- Cardinality:𝐍
- Cardinality of important sets
- Carrying Capacity and Logistic Growth Rate
- Cartesian Products of Metric Spaces
- Cauchy-Schwarz Formula
- Cauchy Problem
- Chain Rule
- Change of Variables
- Change of Variables in Multiple Integrals
- Classifying Triangles
- Climate Change, Sustainability, and Mathematical Modeling
- Closed Subsets in Higher Dimensions
- Cluster Points
- Cluster Points in 𝐑
- Cognitive Guided Instruction
- Combinations of Functions/Composite Functions
- Compactness in Metric Spaces
- Comparison Tests
- Complete Metric Spaces
- Completeness
- Completing the Square
- Complex Numbers
- Complex Population Growth and Decay Models
- Composite Functions
- Composite functions
- Composition of Functions
- Compound Interest
- Conditional Probability
- Conics
- Connectedness
- Conservative Vector Fields
- Continuity
- Continuity and Gauges
- Continuity of a function
- Continuity of functions with two variables
- Continuous Functions
- Continuous Growth
- Continuous Mappings Between Metric Spaces
- Continuous Vector Functions
- Convergent Sequences in Metric Spaces
- Conversions
- Cosets and Lagrange’s Theorem
- Counting Rules
- Cramer's Rule
- Critical Points of a Function
- Cultural Bias in Data Collection and Interpretation
- Curves in Space and Vector-Valued Functions
- Curves in Space and Vector Functions
- Cyclic Groups
- Cylinders and Quadratic Surfaces
- Data
- DeMoivere’s Theorem
- Debt-to-income (DTI) ratios
- Deductive Rules
- Defining the Derivative
- Definition of Polygons
- Definitions and Hierarchy of Quadrilaterals
- Depreciation
- Derivative Formulas
- Derivative Properties
- Derivatives
- Derivatives Rates of Change
- Derivatives and Graphs
- Derivatives and the Shape of a Graph
- Derivatives of Exponential Functions
- Derivatives of Exponential and Logarithmic Functions
- Derivatives of Functions with Inverses
- Derivatives of Inverse Functions
- Derivatives of Logarithmic Functions
- Derivatives of Products and Quotients
- Derivatives of Vector Functions
- Derivatives of the Trigonometric Functions
- Determinant
- Determinants
- Determining Volumes by Slicing
- Diagonalization of Matrices
- Differentiability
- Differential Equations
- Differential Equations (Mathematical Modeling)
- Differential Equations Applications
- Differentiation Rule
- Differentiation Rules
- Differentiation of Vector-valued Functions
- Direct Integration
- Directional Derivatives and Gradient Vectors
- Display of Categorical Data
- Display of Numerical Data
- Distance Between Two Points
- Distance Between Two Points in the Real Numbers
- Distance Formula
- Distance Functions, Metrics
- Divergence Criteria
- Divergence Theorem
- Dividing Polynomials
- Divisibility
- Divisibility Tests
- Division Algorithms
- Domain
- Domain of a Function
- Dot Product
- Dot Products and Orthogonality
- Double-angle formulas
- Double Integral
- Double Integrals
- Double Integrals in Polar Coordinates
- Double Integrals in Polar Form
- Double Integrals over General Regions
- Double Integrals over Rectangular Regions
- Double and Iterated Integrals over Rectangular regions
- Eigenvalues and Eigenvectors
- Equation of a Circle
- Equation of a Line
- Equation of an Ellipse
- Equations of Lines, Planes and Surfaces in Space
- Equations of Planes
- Equivalence Relations
- Equivalents Fractions
- Ethical Considerations in Data Science and AI
- Euclidean Spaces: Algebraic Structure and Inner Product
- Euler's Number
- Even and Odd Functions
- Exact Differential Equations
- Exact Differential Equations (1st Order)
- Expected Value
- Exponential
- Exponential Equations
- Exponential Functions
- Exponential Growth and Decay
- Exponential Properties
- Exponential and Logarithmic Equations
- Exponential functions
- Exponential growth and decay models
- Exponents
- Extrema of a Function
- Extreme values on closed and bounded domains
- Factorials
- Factoring Polynomials
- Final Project: Applying Mathematics, Data Science, and AI to Cultural Analysis
- Finding Roots of an Equation
- Finding Vertical asymptotes of rational functions
- First-Order Linear Equations
- First-degree equation involving percentages
- First Derivative Test
- Fractals, Chaos Theory, and Cultural Complexity
- Fractions meaning and models
- Function Evaluation
- Function Notation
- Functions
- Functions&Graphs
- Functions(The Cartesian Product Definition)
- Functions:Bijective
- Functions:Composition
- Functions:Definition
- Functions:Forward Image
- Functions:Injective
- Functions:Inverse Image
- Functions:Inverses
- Functions:Operations
- Functions:Range
- Functions:Restriction
- Functions:Surjective
- Functions and their graphs
- Functions as Relations
- Functions of Several Variables
- Fundamental Solutions
- Game Theory: Strategic Decision Making in Cultural Context
- Gauss-Jordan Elimination
- Geometric interpretation of interpolation
- Gradients
- Graph Theory and Social Network Analysis
- Graph of equations
- Graphical Display
- Graphs
- Graphs of Functions
- Graphs of Polynomials
- Graphs of Rational Functions
- Graphs of the Sine and Cosine Functions
- Graphs of the Tangent, Cotangent, Cosecant and Secant Functions
- Green's Theorem
- Groups
- Half-angle formulas
- Heine-Borel Theorem
- Homogeneous Differential Equations
- Homomorphisms
- How Data Science Has Shaped Society and Culture
- Implicit Differentiation
- Implicit and explicit equations
- Improper Integrals
- Index numbers
- Infinite Series
- Information Theory: Quantifying Cultural Transmission
- Initial Value Problem
- Instantaneous Rate of Change
- Integral Domains
- Integrals Involving Exponential and Logarithmic Functions
- Integrals Resulting in Inverse Trigonometric Functions
- Integrals of Vector Functions
- Integrating Factor
- Integration Applications
- Integration Formulas and the Net Change Theorem
- Integration by Parts
- Integration by Parts and further applications
- Integration by Substitution
- Interval Notation
- Interval notation
- Intervals
- Intro to Polynomial Functions
- Intro to Power Functions
- Introduction to Determinants
- Introduction to Linear Systems of Equations
- Introduction to Linear Transformations
- Introduction to Mathematics, Data Science, and Artificial Intelligence
- Introduction to Probability
- Introduction to Vector Spaces
- Inverse Functions
- Inverse Laplace Transform
- Inverse Trigonometric Functions
- Inverse functions
- Inverse functions and the identity function
- Isomorphisms
- Iterated Integrals and Fubini's Theorem
- L'Hospital's Rules
- LCM & GCD
- Lagrange Multipliers
- Laplace Transform
- Laplace Transform to ODEs
- Laplace Transform to Systems of ODEs
- Lebesque Theorem for Riemann Integrability on the Real Line
- Limit Points (or Cluster Points) in Higher Dimensions
- Limit and Continuity for a Function of several variables
- Limit and Continuity of Function of Several Variables
- Limit laws
- Limit of a Sequence in the Real Numbers
- Limit of a function
- Limit of a sequence in the Real Numbers
- Limits
- Limits Involving Infinity
- Limits at Infinity and Asymptotes
- Limits of Functions
- Limits of Sequences in the Euclidean space and the Bolzano-Weierstrass Theorem
- Limits of Vector Functions
- Lindeloff Theorem
- Lindelöf Theorem
- Line Integrals
- Linear Approximations and Differentials
- Linear Dependence of Vectors
- Linear Differential Equations
- Linear Differential Equations (1st Order)
- Linear Equations
- Linear Functions
- Linear Functions and Slope
- Linear Homogeneous Equations
- Linear Independence of Functions
- Linear Independence of Vectors
- Linear Programming
- Linear Tranformations
- Linear Transformations
- Linear and Absolute Value Inequalities
- Linear and Exponential Models
- Lines & Angles
- Lipschitz Functions
- Loans
- Local & Global Maxima & Minima
- Logarithmic
- Logarithmic Equations
- Logarithmic Functions
- Logarithmic Properties
- Logarithmic and Exponential Equations
- Logical Equivalence
- Logical Implication
- Logistic Growth Model
- Logistic growth and decay models
- L’Hôpital’s Rule
- MAT1023
- MAT1043
- MAT1053
- MAT1073
- MAT1093
- MAT1133
- MAT1153
- MAT1163
- MAT1193
- MAT1213
- MAT1214
- MAT1223
- MAT1224
- MAT1313
- MAT2213
- MAT2214
- MAT2233
- MAT2243
