Evaluating Limits
Explore the concept of limits in calculus, covering definitions, asymptotes, limit laws, continuity, and the Intermediate Value Theorem through practical examples and theorems.
Applications of Differentiation
Explore advanced calculus concepts including extrema, graphing techniques, L'Hospital's Rule, optimization problems, and related rates through practical applications and problem-solving.
Basic Integration
Learn essential integration techniques for various functions, including trigonometric, exponential, and logarithmic, to solve complex calculus problems and enhance mathematical skills.
Calculus - Partial Fractions - Stewart Calculus Solution, 7th ET Edition
Comprehensive guide to partial fraction decomposition in calculus, covering various techniques and applications for solving complex integrals.
Rational Functions
Comprehensive exploration of rational functions, covering simplification, operations, equations, word problems, and graphing. Ideal for Math 30-2 students seeking in-depth understanding and practice.
Graph, Limits, & Continuity
Explore limits, continuity, and the Intermediate Value Theorem. Learn to find function domains for rational, square root, and logarithmic functions through practical examples.
Definition of Derivative
Explore the definition of derivatives using limits, with examples including rational functions, square roots, and applications in physics.
L'Hospital's Rule - Calculus
Comprehensive guide to L'Hospital's Rule in calculus, covering various limit problems and applications. Includes examples from James Stewart's textbook and explores common pitfalls and special cases.
College Algebra
Comprehensive algebra course covering functions, equations, polynomials, and graphing techniques. Develops problem-solving skills and mathematical reasoning for college-level mathematics.
Accelerated Precalculus
Accelerated precalculus covering advanced topics like trigonometry, matrices, vectors, and conic sections. Ideal for students seeking a comprehensive and fast-paced mathematical foundation.
College Algebra
Master essential algebraic concepts: graphing functions, transformations, polynomials, rational functions, sequences, series, and the binomial theorem. Enhance problem-solving skills and mathematical understanding.
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.
Beyond the Mandelbrot Set - An Intro to Holomorphic Dynamics
Explore holomorphic dynamics, iterative complex functions, and fractals. Delve into Mandelbrot sets, fixed points, cycles, and Julia sets for a fascinating journey through mathematical visualization.
Calculus 1 Final Exam Review
Comprehensive review covering key Calculus 1 concepts including limits, derivatives, and integration. Includes multiple-choice and free-response problems to prepare for final exams.
Derivatives for Beginners - Basic Introduction
Comprehensive introduction to calculus derivatives, covering key rules and functions. Ideal for beginners seeking a solid foundation in differentiation techniques and applications.
Get Ready for Pre-Calculus in One Day
Comprehensive review of essential pre-calculus topics, covering linear equations, functions, radicals, complex numbers, quadratics, exponentials, logarithms, rational functions, polynomials, triangles, and systems in under 3 hours.
Rational Functions
Comprehensive guide to simplifying, graphing, and solving rational functions with step-by-step examples and practical applications for improved mathematical understanding.
Sparse Nonlinear Dynamics Models with SINDy - The Library of Candidate Nonlinearities
Explores advanced techniques for SINDy algorithm, including control variables, bifurcation parameters, rational functions, dimensionality reduction, and symmetry constraints in nonlinear dynamics modeling.
Solving Inequalities with Rational and Linear Functions - Part 3: Combining Functions
Explore techniques for solving inequalities involving rational and linear functions, focusing on combining functions and analyzing their behavior.
Solve Rational Equations - Rational Functions
Learn to solve rational equations and identify extraneous solutions using various techniques. Master fraction operations and cross multiplication for efficient problem-solving in algebra.
Graph Rational Functions - Rational Functions - Pre-Calculus
Learn to identify asymptotes and intercepts of rational functions, starting with reciprocal functions. Master graphing techniques and gain practical skills for analyzing complex mathematical relationships.