All The Math You Need For Engineering: The Ultimate Guide (Step-by-Step)

Summary

This video serves as a guide for engineering students, emphasizing the essential math subjects needed for success. The speaker discusses key topics such as algebra, pre-calculus, calculus, differential equations, statistics, linear algebra, and complex variables, recommending specific textbooks for each. The importance of consistent, focused study is stressed, with a recommendation to study early in the morning to avoid distractions. The speaker also highlights useful online courses and resources to aid learning. The overall message encourages perseverance and effective time management for mastering these critical subjects.

Takeaways

• 😀 Engineering requires a solid foundation in mathematics, with different engineering fields demanding different levels of math.
• 😀 Algebra, pre-calculus, and trigonometry are foundational for further math courses, especially calculus.
• 😀 Calculus is essential for engineering students, covering topics across three courses (Cal 1, 2, and 3).
• 😀 Differential equations are typically taken after completing calculus and are critical for understanding many engineering problems.
• 😀 Linear algebra, including matrices and systems of equations, is crucial for engineers and should not be overlooked.
• 😀 Complex variables and their calculus-based applications are typically electives but beneficial for engineering students.
• 😀 Advanced engineering mathematics textbooks, like 'Advanced Engineering Mathematics' by Irwin Kig, provide a comprehensive overview of multiple topics.
• 😀 Consistency in study is important; setting aside 30 minutes each morning is an effective way to stay on track without sacrificing other activities.
• 😀 Engineering students are advised to focus on self-study, utilizing textbooks, courses, and resources to build proficiency in math.
• 😀 Persistence and a strong mindset are crucial, as many students struggle with math but can still succeed in engineering programs.
• 😀 The speaker offers math courses online at discounted prices, providing resources across a variety of math subjects from algebra to advanced calculus.

Q & A

Why does the speaker suggest waking up early to study math?

The speaker suggests waking up early to study math because it allows you to study without taking time away from other parts of your day. This is especially helpful for busy students, such as those in engineering, where time is precious.

What does the speaker think about the difficulty of engineering as a major?

The speaker believes engineering is one of the hardest majors, potentially harder than a math degree. They argue that engineering involves complex subjects and materials, which can be very challenging.

How does the speaker compare the difficulty of math proofs to engineering?

While the speaker acknowledges that math proofs can be difficult, they argue that engineering may be even more difficult due to the range of complex and practical problems students have to solve.

What type of math courses does the speaker offer?

The speaker offers a variety of math courses, including college algebra, statistics, trigonometry, calculus (Cal 1, Cal 2, Cal 3), advanced calculus, abstract algebra, and a course on proof writing.

How can students get discounts on the speaker's math courses?

Students can get discounts on the speaker's math courses by using the links provided in the video description. These links offer the courses at a significantly lowered price.

What resource does the speaker mention for learning statistics?

The speaker mentions a statistics course that requires StatCrunch, a software tool needed to fully engage with the course content.

What is the speaker's opinion on the book they review in the video?

The speaker praises one particular book for being very comprehensive, as it covers a wide range of topics from other math books. They consider it a valuable resource for learning and find it fun to use.

What specific advice does the speaker give regarding learning math?

The speaker encourages students to believe they can learn math and emphasizes that the right resources, such as the books and courses mentioned, can make a significant difference in their understanding.

What unique feature does the book the speaker recommends offer?

The book recommended by the speaker is unique because it contains all the topics covered in other math books. This makes it a comprehensive and cost-effective choice for students studying various math subjects.

What is the speaker's perspective on the difficulty of proof writing?

The speaker acknowledges that proof writing can be challenging, but they offer a course specifically designed to help students improve their skills in writing proofs, especially for topics like sets and functions.