Krista King Courses

Precise Definition of the Limit for Multivariable Functions

Explore the epsilon-delta definition of limits for multivariable functions, gaining a precise understanding of this advanced calculus concept with clear explanations and examples.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Laplace Transforms and Integration by Parts with Three Functions

Learn advanced techniques for solving Laplace transforms using integration by parts with three functions. Master this crucial concept in differential equations to enhance problem-solving skills.

• YouTube
• 26 minutes
• On-Demand
• Free Video

AP Calculus AB and BC - Analytical Applications of Differentiation

Comprehensive review of analytical applications of differentiation, covering key theorems, extrema analysis, graphing techniques, and optimization problems for AP Calculus AB/BC preparation.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

AP Calculus AB and BC - Contextual Applications of Differentiation

Comprehensive review of contextual applications of differentiation, covering interpretation, motion analysis, rates of change, related rates, linearization, and L'Hospital's Rule for AP Calculus AB/BC.

• YouTube
• 45 minutes
• On-Demand
• Free Video

AP Calculus AB and BC Unit 3 Review - Differentiation: Composite, Implicit, and Inverse Functions

Comprehensive review of advanced differentiation techniques for AP Calculus, covering chain rule, implicit differentiation, inverse functions, and higher-order derivatives with clear explanations and examples.

• YouTube
• 27 minutes
• On-Demand
• Free Video

AP Calculus AB and BC - Differentiation: Definition and Basic Derivative Rules

Comprehensive review of differentiation concepts and rules for AP Calculus, covering rates of change, derivative definitions, continuity, and various derivative techniques for different functions.

• YouTube
• 37 minutes
• On-Demand
• Free Video

AP Calculus AB and BC - Unit 1 Review - Limits and Continuity

Comprehensive review of limits and continuity for AP Calculus AB/BC, covering key concepts, theorems, and problem-solving techniques with clear explanations and examples.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

What Does a Double Integral Represent?

Explore the concept of double integrals, comparing them to single integrals and visualizing their representation of volume under a surface in multivariable calculus.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Trig Identities - What Are They?

Comprehensive guide to trigonometric identities, covering types, proofs, and memorization techniques. Explains their importance in simplifying expressions and solving complex problems.

• YouTube
• 39 minutes
• On-Demand
• Free Video

Scientific Notation - How to Do It

Learn to express very large and small numbers efficiently using scientific notation, including operations and comparisons for practical applications in science and mathematics.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Euler’s Method - How to Use It

Comprehensive guide to Euler's method for approximating solutions to differential equations, covering its application, methodology, limitations, accuracy, and error analysis.

• YouTube
• 39 minutes
• On-Demand
• Free Video

Graph Lines - How To

Comprehensive guide to graphing lines, covering slope calculation, equation forms, and graphing techniques for various line types. Ideal for mastering fundamental concepts in linear algebra.

• YouTube
• 31 minutes
• On-Demand
• Free Video

How to Solve Partial Derivatives

Learn to calculate and interpret partial derivatives for multivariable functions, including first-order, second-order, and mixed partial derivatives, with clear explanations and examples.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Trig Substitution - How to Solve

Comprehensive guide to trigonometric substitution in integration, covering when and how to use it, step-by-step problem-solving, and practical examples for different substitution types.

• YouTube
• 39 minutes
• On-Demand
• Free Video

Exponents - What Are They?

Comprehensive guide to exponents, covering definition, notation, rules, and applications. Explains various scenarios including zero, negative, and fractional exponents, with clear examples and practical tips for problem-solving.

• YouTube
• 50 minutes
• On-Demand
• Free Video