Using the Euclidean Algorithm to Find the Greatest Common Divisor – Number Theory Example This lesson is nothing more than a free preview of The Ultimate Crash Course for STEM Majors. This number theory example demonstrates how to use the Euclidean Algorithm to find the greatest common divisor of 875 […]
Daily Archives: August 23, 2026
12 posts
Finding a Tangent Plane to a Surface – Multivariable Calculus Example This page is nothing more than a free preview of The Ultimate Crash Course for STEM Majors. This multivariable calculus example demonstrates how to find the equation of a tangent plane to a surface using an implicit function, partial […]
Finding the Greatest Common Divisor with the Euclidean Algorithm – gcd(875, 4075) This page is nothing more than a free preview of The Ultimate Crash Course for STEM Majors. This number theory lesson demonstrates the Euclidean Algorithm and determines the greatest common divisor of \(875\) and \(4075\), while preparing the […]
Using the Euclidean Algorithm Backwards – Finding Integers x and y in a Linear Diophantine Equation This page is nothing more than a free preview of The Ultimate Crash Course for STEM Majors. This number theory example uses the Euclidean Algorithm backwards to find integers \(x\) and \(y\) satisfying the […]
Solving Literal Equations and Formulas: Resistance and Geometric Series Examples This page is nothing more than a free preview of The Ultimate Crash Course for STEM Majors. This algebra lesson works through equations and inequalities by solving formulas for an indicated variable, including a resistance formula involving \(R\), \(R_1\), and […]
Why Reading the Textbook Is Essential for Learning Math, Physics, and STEM This page is nothing more than a free preview of The Ultimate Crash Course for STEM Majors. This sample focuses on textbook-based learning, independent problem solving, note taking, exam preparation, and becoming a self-sufficient mathematics and physics student. […]
Before Starting Algebra or Calculus-Based Physics: A Student’s Guide to PLEM, STEM, and Scientific Thinking This page is nothing more than a free preview of The Ultimate Crash Course for STEM Majors by Author Jonathan David. Explore the complete Crash Course series for additional mathematics, physics, engineering, college study, problem-solving, […]
Exact Differential Equations Test Response: Verifying the Exact Theorem and Final Solution This lesson is nothing more than a free preview of The Ultimate Crash Course for STEM Majors. This worked differential equations example shows how to organize a test response, apply the Exact Theorem, integrate the potential function, state […]
Solving an Exact Differential Equation Using Antiderivatives and the Potential Function This lesson is nothing more than a free preview of The Ultimate Crash Course for STEM Majors. This worked differential equations example continues the exact-equation method by taking antiderivatives, comparing the resulting potential functions, handling the logarithmic absolute value, […]
Testing an Exact Differential Equation Using Partial Derivatives This page is nothing more than a free preview from The Ultimate Crash Course for STEM Majors. This differential equations example demonstrates how to identify an ODE, formulate the exactness condition, calculate the required partial derivatives, and verify that an equation is […]