Mathematics Courses and Certifications

Michael Penn

Multivariable Calculus

Master vector calculus fundamentals through comprehensive coverage of derivatives, integrals, and theorems in multiple dimensions with practical applications.

• YouTube
• 19 hours 34 minutes
• Self-Paced
• Free Video

Michael Penn

Multivariable Calculus - Multiple Integrals

Master multiple integrals, coordinate transformations, and fundamental theorems like Green's and Divergence through comprehensive examples and applications.

• YouTube
• 9 hours 13 minutes
• Self-Paced
• Free Video

Michael Penn

Abstract Algebra - The Basics of Rings

Explore fundamental ring theory concepts including types, properties, homomorphisms, ideals, and polynomial rings through comprehensive examples and proofs.

• YouTube
• 4 hours 36 minutes
• Self-Paced
• Free Video

Michael Penn

Multivariable Calculus - Multivariable Functions

Master multivariable functions, partial derivatives, gradients, tangent planes, limits, double integrals, and Lagrange multipliers through comprehensive mathematical analysis.

• YouTube
• 3 hours 41 minutes
• Self-Paced
• Free Video

Michael Penn

Abstract Algebra - The Basics of Groups

Discover fundamental group theory concepts including subgroups, cosets, Lagrange's theorem, isomorphisms, homomorphisms, normal subgroups, and quotient groups through examples.

• YouTube
• 6 hours 31 minutes
• Self-Paced
• Free Video

Michael Penn

Techniques of Integration

Master essential integration methods including substitution, parts, trigonometric substitution, and partial fractions through comprehensive worked examples.

• YouTube
• 1 hour 37 minutes
• Self-Paced
• Free Video

Michael Penn

Primitive Roots Modulo n

Explore the mathematical foundations of primitive roots modulo n, covering order calculations, existence theorems, and applications to solving exponential congruences.

• YouTube
• 2 hours 42 minutes
• Self-Paced
• Free Video

Michael Penn

Abstract Algebra - Examples of Groups

Explore dihedral, symmetric, alternating, and quaternion groups through concrete examples and cycle notation in abstract algebra.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Michael Penn

Abstract Algebra - Preliminaries

Master fundamental proof techniques and mathematical structures essential for abstract algebra through direct proofs, contradiction, induction, relations, and functions.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

Michael Penn

Systems of Differential Equations - Matrix Exponentials and Solution Methods

Master matrix exponentials and solution techniques for linear systems through diagonalizable, complex eigenvalue, and non-homogeneous cases with practical examples.

• YouTube
• 1 hour 54 minutes
• Self-Paced
• Free Video

MooMooMath and Science

How to Read a Ruler - Measuring in Inches Including Halves, Quarters, and Eighths

Master reading rulers with clear explanations of inch measurements, including halves, quarters, and eighths for accurate measuring skills.

• YouTube
• 11 minutes
• Self-Paced
• Free Video

MySecretMathTutor

Graphing Function Transformations

Master function transformations including shifts, stretches, reflections, and combinations to manipulate graphs effectively in pre-calculus mathematics.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

MySecretMathTutor

Algebra - Comprehensive Course on Expressions, Equations, and Rational Functions

Master essential algebra concepts from exponents and factoring to solving equations and working with rational expressions in this comprehensive tutorial series.

• YouTube
• 2 hours 22 minutes
• Self-Paced
• Free Video

MySecretMathTutor

Pre-Calculus - Linear Functions

Master linear functions through solving equations, graphing techniques, and real-world applications in this comprehensive pre-calculus series.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

MySecretMathTutor

Graphing Rational Functions

Master the complete process of graphing rational functions, from finding intercepts and asymptotes to creating accurate graphs through step-by-step techniques.

• YouTube
• 26 minutes
• Self-Paced
• Free Video