Algebra 2 Course - Unit 4
Master polynomial operations, factoring techniques, and equation solving in Algebra 2. Learn to multiply, factor, and solve various polynomial forms, including special products, trinomials, and quadratics.
Algebra 2 Course - Unit 5
Master rational expressions, exponents, and function graphing. Simplify, multiply, divide, add, and subtract expressions. Explore domains, zeros, and asymptotes in rational functions.
Algebra 2 Course - Unit 6
Master complex fractions, equations, and inequalities with fractional coefficients through step-by-step lessons and practice problems.
Algebra 2 Course - Unit 7
Master radical expressions: simplify square roots, solve equations, work with cube roots, and perform operations on radicals. Develop essential algebra skills for advanced math.
Algebra 2 Course - Unit 8
Master advanced algebraic concepts: radicals, complex numbers, and imaginary numbers. Learn to solve equations, simplify expressions, and perform operations in the complex plane.
Algebra 2 Course - Unit 9
Explore quadratic equations through visualization, perfect squares, completing the square, and the quadratic formula. Learn about discriminants and complex roots for a comprehensive understanding.
Algebra 2 Course - Unit 10
Master quadratic equations, parabolas, and functions through comprehensive lessons on solving, graphing, and analyzing. Develop essential algebra skills for advanced mathematics.
Algebra 2 Course - Unit 11
Explore advanced algebraic concepts including variations, polynomial division, and theorems for solving complex equations and understanding root properties.
Algebra 2 Course - Unit 12
Master conic sections, distance formulas, and Pythagorean theorem. Explore circles, ellipses, parabolas, and hyperbolas through graphing and equations. Gain practical skills in advanced algebra concepts.
Precalculus 2 - Trigonometry
Comprehensive introduction to trigonometry covering angles, unit circle, right triangles, trigonometric functions, graphs, inverse functions, and practical applications in problem-solving and harmonic motion.
Number Theory
Explore fundamental concepts of number theory, including induction, divisibility, congruences, and prime numbers. Delve into advanced topics like quadratic reciprocity and Dirichlet's divisor problem.
Multivariable Calculus
Comprehensive video series covering multivariable calculus topics, from domains and vectors to triple integrals and coordinate systems, aligned with an open textbook for active learning.
Precalculus Review - Basics
Comprehensive review of fundamental precalculus concepts, covering real numbers, operations, intervals, absolute value, fractions, exponents, and lines for a solid mathematical foundation.
Precalculus Review - Algebra
Comprehensive algebra review covering expanding, factoring, polynomials, and rational expressions. Master key concepts and techniques for a solid foundation in precalculus.
Precalculus Review - Functions
Comprehensive review of function concepts, from basic definitions to advanced topics like exponentials and logarithms. Covers notation, domain, graphing, arithmetic, composition, and inverses.
Precalculus Review - Graphs
Comprehensive review of graphing techniques for various functions, including polynomials, rational expressions, and trigonometric functions, with emphasis on transformations and visual analysis.
Precalculus Review - Trigonometry
Comprehensive trigonometry review covering triangles, unit circle, radians, special angles, functions, graphs, and identities for a solid foundation in precalculus concepts.
APEX Calculus - Limits
Comprehensive exploration of limits in calculus, covering definitions, properties, continuity, and various types of limits through detailed examples and theorems.
APEX Calculus - Derivatives
Comprehensive exploration of derivatives, covering basic rules, product and quotient rules, chain rule, implicit differentiation, and inverse functions with numerous examples and proofs.
APEX Calculus - Chapter 3 - Graph Behaviour
Explore graph behavior in calculus, covering extreme values, Mean Value Theorem, increasing/decreasing functions, concavity, and sketching techniques for various function types.
APEX Calculus - Applications of the Derivative
Explore practical applications of derivatives, including related rates, optimization, differentials, and Taylor polynomials, with real-world examples and problem-solving techniques.