Exact Differential Equations: Determining Whether an ODE Is Exact and Finding the Solution This exact differential equations lesson is a sample from The Ultimate Crash Course for STEM Majors. This worked example introduces the exact equation theorem, logarithmic domain restrictions, ordinary differential equations, and the relationship between exact differential equations […]
The Ultimate Crash Course for PLEM Majors
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STEM Internships, Research Experience, GPA, and Career Preparation This STEM college and career preparation lesson is a sample from The Ultimate Crash Course for STEM Majors. This section discusses internships, undergraduate research, GPA expectations, graduate school, recommendation letters, mathematics, physics, engineering, computer science, and preparing for professional employment after college. […]
Preparing for Junior Year, Graduate School, and Professional STEM Problem Solving This STEM college preparation and problem-solving lesson is a sample from The Ultimate Crash Course for STEM Majors. The series is designed to help students strengthen mathematical problem-solving skills, prepare for advanced undergraduate and graduate-level coursework, and develop a […]
Should You Major in STEM? Engineering, College Readiness, and Exam Preparation This college STEM study and career preparation lesson is a sample from The Ultimate Crash Course for STEM Majors. This section discusses choosing a STEM or engineering degree, understanding your academic readiness, studying mathematics and physics, and why students […]
How to Prepare for College Exams and Build a Successful STEM Career This college study and STEM career preparation lesson is a sample from The Ultimate Crash Course for STEM Majors. This section discusses preparing for college exams in advance, avoiding last-minute studying, developing effective study habits, and beginning career […]
How to Get a Job Before You Graduate This college career and employment lesson is a sample from The Ultimate Crash Course for STEM Majors. This lesson discusses preparing for employment before college graduation through work experience, professional skill building, resume development, certificates, licenses, internships, and career preparation. Explore the […]
Differential Calculus Crash Course for STEM Majors This differential calculus lesson is a sample from The Ultimate Crash Course for STEM Majors. The Differential Calculus Crash Course introduces limits, continuity, derivatives, optimization, related rates, curve sketching, and other fundamental calculus concepts used throughout mathematics, physics, engineering, and STEM. Explore the […]
Divisibility Proofs, Prime Numbers, and Unique Factorization This number theory lesson is a sample from The Ultimate Crash Course for STEM Majors. This sample covers divisibility proofs, prime and composite numbers, even and odd integers, and introductory concepts related to unique factorization. Explore the complete mathematics, physics, engineering, and STEM […]
Solving Radical Equations and Identifying Extraneous Solutions This algebra lesson is a sample from The Ultimate Crash Course for STEM Majors. The example demonstrates how to solve an equation containing two radicals, why squaring both sides can be useful, and why students must be aware of extraneous solutions. Explore the […]