Math Fundamentals Courses and Certifications

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Ultimate Integral Starter - U-Substitution, Integration by Parts, Trig Sub, Partial Fractions & More

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A study guide works through 50 integrals using substitution, integration by parts, trigonometric identities, and partial fraction decomposition.

• YouTube
• 5 hours 57 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - Finding Area Between Two Curves

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Learn to find the area enclosed between two curves using techniques from Calculus 1.

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

Iain Explains Signals, Systems, and Digital Comms

Essential Maths for Studying Signals and Systems

See how complex numbers and exponentials connect mathematical foundations to real signals and systems.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Math with Professor V

AP Calculus Unit 4 - Contextual Applications of Differentiation

Applies derivatives to motion, related rates, optimization, and linear approximation through step-by-step AP-style practice.

• YouTube
• 7 hours 16 minutes
• Self-Paced
• Free Video

Math with Professor V

AP Precalculus Unit 1 - Polynomial and Rational Functions

Learn a step-by-step approach to analyzing and graphing rational functions, using zeros, asymptotes, intercepts, and end behavior.

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

Math with Professor V

Comprehensive Graphing Techniques for Algebra, Precalculus, and Calculus

A broad collection of graphing lessons follows functions from precalculus graphs through calculus curve sketching and three-dimensional surfaces.

• YouTube
• 10 hours 55 minutes
• Self-Paced
• Free Video

Eddie Woo

Further Algebraic Techniques - Year 10 Mathematics

Visual explanations connect algebraic identities with techniques for expanding, simplifying, and factorising expressions.

• YouTube
• 4 hours 21 minutes
• Self-Paced
• Free Video

Eddie Woo

Advanced Integration Techniques - Partial Fractions, Integration by Parts, and Recurrence Relations

Work through challenging integrals by building recurrence relations and choosing among algebraic, trigonometric, and parts-based methods.

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

Eddie Woo

Graphing Techniques

Learn to graph diverse function families by tracing transformations, finding intersections, and solving inequalities visually.

• YouTube
• 10 hours 35 minutes
• Self-Paced
• Free Video

Eddie Woo

Trigonometric Functions and Graphs

Explore how transformations shape trigonometric graphs, from phase shifts and period changes to modeling a Ferris wheel and solving equations from graphs.

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

Eddie Woo

Trigonometric Functions and Identities

Work through trigonometric equations and identity proofs, using expansions, graphs, quadrants, and the unit circle to solve increasingly challenging problems.

• YouTube
• 6 hours 23 minutes
• Self-Paced
• Free Video

Krista King

Algebra 2 - Complete Course on Operations, Functions, Systems, Polynomials, and Advanced Equations

Worked problems connect algebraic techniques, including rational expressions, radicals, and imaginary numbers, with systems of equations and motion problems.

• YouTube
• 3 hours 24 minutes
• Self-Paced
• Free Video

Krista King

Algebra 1 - Complete Course with Operations, Equations, Functions, and Polynomials

Practice core Algebra 1 techniques, from balancing equations and solving systems to factoring quadratics.

• YouTube
• 3 hours 21 minutes
• Self-Paced
• Free Video

Krista King

Trigonometry - Angles, Functions, Laws, Unit Circle, Graphing, and Identities

Work through trigonometric identity proofs using sum-difference, even-odd, double-angle, half-angle, and product-to-sum formulas.

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

Krista King

Pre-Algebra - Numbers, Fractions, Decimals, Exponents, and Scientific Notation

Build fluency with number operations and representations, from signed numbers and fractions to scientific notation and roots.

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