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Linear Algebra for MATH 308
Lecture 1: Vectors, Linear Independence, and Spanning Sets
Lecture 2: Operations with Matrices and Vectors
Lecture 3: Systems of Equations
Lecture 4: Determinant
Lecture 5: Eigenvectors and Eigenvalues
Lecture 6: Matrix Inverses and Diagonalization
Lecture 7: Systems of Differential Equations
Lecture 8: Systems of Differential Equations
Math for Quantitative Finance
Several Variables Calculus
Section 1: Functions of Several Variables
Section 2: Limits and Continuity
Section 3: Partial Derivatives
Section 4: Tangent Planes and Linear Approximations
Section 5: The Chain Rule
Section 6: Directional Derivatives and the Gradient Vector
Section 7: Maximum and Minimum Values
Section 8: Lagrange Multipliers
Differential Equations
Section 1: Integrating Factor
Section 2: Separable Equations
Section 3: Compound Interest
Section 4: Variation of Parameters
Section 5: Systems of Ordinary Differential Equations
Section 6: Matrices
Section 7: Systems of Equations, Linear Independence, and Eigenvalues & Eigenvectors
Section 8: Homogeneous Linear Systems with Constant Coefficients
Section 9: Complex Eigenvalues
Section 10: Fundamental Matrices
Section 11: Repeated Eigenvalues
Section 12: Nonhomogeneous Linear Systems
Mathematical Probability
Section 1: Probabilistic Models and Probability Laws
Section 2: Conditional Probability, Bayes’ Rule, and Independence
Section 3: Discrete Random Variable, Probability Mass Function, and Cumulative Distribution Function
Section 4: Expectation, Variance, and Continuous Random Variables
Section 5: Discrete Distributions
Section 6: Continuous Distributions
Section 7: Joint Distribution Function, Marginal Probability Mass Function, and Uniform Distribution
Section 8: Independence of Two Random Variables, Covariance, and Correlation
Section 9: Conditional Distribution and Conditional Expectation
Section 10: Moment Generating Function
Section 11: Markov’s Inequality, Chebyshev’s Inequality, and Weak Law of Large Numbers
Section 12: Convergence and the Central Limit Theorem
Python Instructional Video Series
Double Integrals
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MPE
MPE Practice Problems for Math 147, 151, or 171
MPE Practice Problems for Math 142
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Algebra Series
Domain
Domain of Logarithmic Functions
Domain of Radical Functions
Domain of Rational Functions
Domain of Combinations of Functions
Linear Functions
Solving Linear Equations
Systems of Two Linear Equations in Two Variables
Quadratic Functions
Quadratic Equations
Rational Functions
Operations with Rational Functions
Solving Rational Equations
Radical Functions
Radical Equations
Power and Exponential Functions
Exponential Functions
Solving Exponential Equations
Logarithms
Logarithmic Equations
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MATH 140: Mathematics for Business and Social Sciences
MATH 142: Business Calculus
MATH 147: Calculus I for Biological Sciences
MATH 150: Functions, Trigonometry and Linear Systems
MATH 151: Engineering Mathematics I
MATH 152: Engineering Mathematics II
MATH 171: Calculus I
MATH 172: Calculus II
MATH 251: Engineering Mathematics III
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