Prep for GRE® Subject Math Exam-Module2:Single Var Calculus from Udemy

This course is a prep course for the GRE Subject exam in Mathematics. If you wish to apply for a grad program in math, statistics and such, this exam is required.

This is the second module and includes all the single variable calculus material needed in order to excel in the exam. More importantly, the course teaches techniques for solving problems FAST (since in the exam you will have 2.5 min per question - very little time).

We will go over the following topics:

Limit of sequences
Limit of functions
Continuity
Derivatives
Integrals, including improper integrals and Riemann sums
Series
Function Sequences and series
Taylor Expansions

The course is designed to review all that is necessary to get you up to speed and get you solving real exam problems. Knowledge covered in the first module is assumed.

See the free intro lecture of the first module to get more details.

GRE is a registered trademark of Educational Testing Service (ETS) in the United States and other countries. This content is not endorsed or approved by ETS.

What's inside

Learning objectives

Excel in the gre mathematics test single variable calculus questions.
Solve single variable calculus questions more quickly

Pace through the test

Excel in the gre mathematics test single variable calculus questions.
Solve single variable calculus questions more quickly
Pace through the test

Syllabus

Function Derivative and Features

Introduction

Modules of the prep course

Limits

Traffic lights

Read about what's good

what should give you pause

and possible dealbreakers

Focuses on single-variable calculus, a core area assessed in the GRE Mathematics Subject Test, ensuring targeted preparation

Emphasizes techniques for solving problems quickly, which is essential for success given the exam's time constraints

Assumes knowledge covered in the first module, suggesting a structured learning path for comprehensive preparation

Covers a range of single-variable calculus topics, including limits, derivatives, integrals, series, and Taylor expansions

Includes quizzes and handouts, providing opportunities for self-assessment and reinforcement of learned concepts

Reviews summary

Gre subject math single var calculus prep

According to learners, this course serves as a valuable resource for preparing for the single variable calculus section of the GRE Subject Math Exam. Students particularly highlight the course's focus on problem-solving techniques and strategies for tackling questions efficiently, which is critical for the exam's time constraints. The content coverage is generally considered thorough for review purposes, although some students felt the pace was sometimes too fast. While opinions varied on the initial amount of practice material, more recent reviews suggest that the instructor has potentially added more problems, indicating responsiveness to feedback. It is best suited as a refresher for those with existing calculus knowledge rather than a first introduction.

Best as a review, assumes prior knowledge.

"Assumes prior knowledge from module 1 is solid."

"Decent overview, but too basic if you have a strong calculus background."

"Better for refreshing fundamentals than learning new concepts."

"Not for absolute beginners; definitely requires a calculus background."

Sufficiency of practice problems varied.

"Needs more practice questions."

"Wish there were more examples provided in the quizzes."

"They seem to have added more practice problems recently, which is a good improvement."

"Adequate practice sets were included for each topic."

Reviews necessary single variable calculus topics.

"Covered all the calc topics well."

"Good overview of single variable calculus for the test."

"Reviewed all the necessary material for this section of the test."

"The lectures touched upon all the topics listed in the syllabus."

Targeted strategies for the GRE exam format.

"Really focused on how to tackle GRE-style problems fast."

"The techniques for quickly solving problems were invaluable for the exam."

"Helped me understand how to pace myself on the test."

"The course directly addresses the GRE format and question types."

Lectures move quickly through concepts.

"Some sections felt a bit rushed."

"Lectures moved very quickly through concepts."

"The pace is fast, requires prior knowledge to keep up easily."

"Needed to pause and rewatch some parts due to the speed."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Prep for GRE® Subject Math Exam-Module2:Single Var Calculus with these activities:

Review Limits and Continuity

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Reinforce your understanding of limits and continuity, which are fundamental concepts for calculus and essential for success in the GRE Subject Math exam.

Browse courses on Continuity

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Review definitions of limits and continuity.
Work through practice problems involving limits and continuity.
Focus on problems that require algebraic manipulation or L'Hopital's rule.

Review Thomas' Calculus

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Use this book to reinforce your understanding of calculus concepts and techniques.

View Thomas' Calculus on Amazon

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Read the relevant chapters on limits, derivatives, and integrals.
Work through the examples and practice problems in the book.
Focus on the topics that are covered in the course syllabus.

Practice Integration Techniques

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Sharpen your integration skills by working through a variety of problems, including u-substitution, integration by parts, and trigonometric substitution.

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Solve a set of integration problems using different techniques.
Check your answers and review the solutions carefully.
Identify areas where you struggle and seek additional practice.

Four other activities

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Show all seven activities

Schaum's Outline of Calculus

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Use this book to practice solving a wide variety of calculus problems.

View Schaum's Outline of Calculus, 6th Edition on Amazon

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Select the chapters that cover the topics in the course syllabus.
Work through the solved problems and practice exercises.
Focus on the problems that you find challenging.

Create a Formula Sheet

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Compile a formula sheet containing all the important formulas and techniques covered in the course. This will be a valuable resource during the exam.

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Gather all the important formulas and techniques from the course materials.
Organize the formulas into categories (e.g., limits, derivatives, integrals).
Create a concise and easy-to-read formula sheet.

Solve Past GRE Math Exam Questions

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Practice solving past GRE Math exam questions to get familiar with the exam format and difficulty level. Focus on single variable calculus problems.

Show steps

Obtain past GRE Math exam papers.
Solve the single variable calculus questions under timed conditions.
Review your answers and identify areas for improvement.

Help Others in Online Forums

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Reinforce your understanding by helping other students in online forums. Explaining concepts to others can solidify your own knowledge.

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Find online forums or communities related to GRE Math or calculus.
Answer questions and provide explanations to other students.
Focus on the topics that you are confident in.

Career center

Learners who complete Prep for GRE® Subject Math Exam-Module2:Single Var Calculus will develop knowledge and skills that may be useful to these careers:

Math Teacher

A math teacher educates students in the principles of mathematics. This course, designed to prepare students for the GRE Subject Exam in Mathematics, provides a comprehensive review of single variable calculus. The coverage of limits, derivatives, integrals, series, and Taylor expansions helps build a solid foundation for teaching these concepts to students. A course such as this is useful to a math teacher, as it builds credibility in their field. Having a strong understanding of limits, continuity, and function sequences, as covered in this module, enables the teacher to explain mathematical concepts more clearly and effectively. The ability to solve problems quickly is also valuable in the classroom, allowing the teacher to respond to student questions and provide timely guidance.

See salaries and explore the career path for Math Teacher

Mathematician

A mathematician uses advanced mathematical theories and techniques to solve practical problems in various industries. This course, designed to prepare students for the GRE Subject Exam in Mathematics, helps build a strong foundation in single variable calculus, essential for success in mathematical research and problem-solving. The focus on techniques for solving problems quickly is particularly relevant, as mathematicians often face time constraints in research and applied settings. With its comprehensive coverage of limits, derivatives, integrals, series, and Taylor expansions, this course provides the targeted review needed to excel in graduate-level mathematics and related fields. Specifically, the modules on limits of sequences and functions, as well as different integration techniques, equip aspiring mathematicians with the tools to tackle complex mathematical challenges. A mathematician typically needs an advanced degree.

See salaries and explore the career path for Mathematician

Actuary

Actuaries assess and manage financial risks, particularly in the insurance and finance industries, using mathematical and statistical models. Preparing for the GRE Mathematics test through this course helps build a solid quantitative foundation. The single variable calculus concepts covered, such as derivatives, integrals, series, and Taylor expansions, are directly relevant to calculating premiums, valuing liabilities, and managing risk. The course's focus on solving problems quickly is essential, as actuaries often face complex calculations under time constraints. A deeper understanding of limits, continuity, and function sequences helps them better model and predict future financial outcomes. The modules about sequences are particularly helpful.

See salaries and explore the career path for Actuary

Economist

Economists study the production, distribution, and consumption of goods and services, often using mathematical models to analyze economic phenomena. Preparing for the GRE Mathematics test through this course helps build a solid quantitative foundation. The single variable calculus material, including derivatives, integrals, and series, is essential for developing and analyzing economic models. The course's emphasis on solving problems quickly may be useful, as economists often need to efficiently process and interpret large datasets and complex models. Having a solid understanding of limits, continuity, and function sequences, as covered in this module, provides a deeper insight into the mathematical underpinnings of economic theory. An economist typically needs an advanced degree.

See salaries and explore the career path for Economist

Data Scientist

Data scientists use statistical techniques and machine learning algorithms to extract insights from data. This course helps build a solid mathematical foundation, particularly in single variable calculus, crucial for understanding and implementing various data science models. The course's focus on problem-solving techniques is valuable, as data scientists often need to rapidly prototype and evaluate different approaches. With its coverage of limits, derivatives, integrals, and series, this course provides the quantitative skills necessary to analyze data and build predictive models effectively. Mastering integration techniques and function sequences, as covered in this module, further helps in understanding the mathematical intricacies of machine learning algorithms. The goal of teaching techniques for fast problem solving may be useful for meeting deadlines.

See salaries and explore the career path for Data Scientist

Financial Engineer

Financial engineers create and implement complex financial instruments and strategies, requiring a strong understanding of mathematics and finance. Taking this prep course for the GRE Mathematics test may be useful. The single variable calculus concepts covered, such as derivatives, integrals, series, and Taylor expansions, are directly relevant to pricing derivatives and managing financial risk. By mastering derivatives and integrals, financial engineers can better model and analyze complex financial products. The focus on time-constrained problem-solving equips them with the ability to handle complex calculations efficiently. Topics such as limits, continuity, and function sequences provide a deeper understanding of the mathematical foundations underlying financial models. A financial engineer typically needs an advanced degree.

See salaries and explore the career path for Financial Engineer

Quantitative Analyst

Quantitative analysts, often working in finance, use mathematical and statistical models to assess risk and make investment decisions. Preparing for the GRE Mathematics test through this course may be useful, given that it enhances the necessary math skills. The single variable calculus material, including derivatives, integrals, series, and Taylor expansions, is directly applicable to developing and implementing quantitative models. The course's emphasis on solving problems quickly helps, as quantitative analysts often operate in fast-paced environments where timely analysis is critical. The ability to understand and apply concepts such as limits, continuity, and function sequences, as taught in this module, is essential for creating accurate and reliable financial models. A quantitative analyst typically needs an advanced degree.

See salaries and explore the career path for Quantitative Analyst

Statistician

Statisticians collect, analyze, and interpret numerical data to identify trends and relationships, often working with large datasets. This course may be useful, given that it helps hone the necessary math skills. The single variable calculus material covered in this course, including derivatives, integrals, and series, forms a critical foundation for statistical modeling and analysis. The course's emphasis on solving problems quickly also helps, as statisticians often need to efficiently process and interpret large volumes of data. Knowledge of limits, continuity, and function sequences, as covered in this module, provides a deeper understanding of the mathematical underpinnings of statistical methods. A statistician typically needs an advanced degree.

See salaries and explore the career path for Statistician

Operations Research Analyst

Operations research analysts use mathematical and analytical methods to help organizations make better decisions. This course may be useful, given that it enhances the necessary math skills. The single variable calculus material, including derivatives, integrals, series, and optimization techniques, forms the basis for many operations research models. The focus on solving problems quickly helps, as these analysts often need to develop and implement solutions under tight deadlines. Understanding concepts such as limits, continuity, and function sequences, as taught in this module, provides a foundation for more advanced modeling techniques. The modules on integration and limits may be useful in preparing for decision making.

See salaries and explore the career path for Operations Research Analyst

Physics Teacher

A physics teacher educates students in the principles of physics, requiring a strong understanding of mathematics. This course, designed to prepare students for the GRE Subject Exam in Mathematics, provides a comprehensive review of single variable calculus, a fundamental tool in physics. The coverage of limits, derivatives, integrals, series, and Taylor expansions helps build a solid foundation for teaching these concepts to students. Having a strong understanding of limits, continuity, and function sequences, as covered in this module, enables the physics teacher to explain mathematical concepts more clearly and effectively. The ability to solve problems quickly is also valuable in the classroom, allowing the teacher to respond to student questions and provide timely guidance.

See salaries and explore the career path for Physics Teacher

Electrical Engineer

Electrical engineers design, develop, and test electrical equipment and systems, requiring a strong understanding of mathematics and physics. While this course is not directly focused on electrical engineering, it helps enhance the necessary math skills. The single variable calculus material covered, including derivatives, integrals, and series, is relevant to circuit analysis, signal processing, and control systems. Because single variable calculus is so important in science, this course may be useful for those who did not get a firm grasp on the concepts. The modules on integration and limits may be useful.

See salaries and explore the career path for Electrical Engineer

Mechanical Engineer

Mechanical engineers design, develop, and test mechanical devices and systems, requiring a strong foundation in mathematics and physics. While this course is not directly focused on mechanical engineering, it helps enhance the necessary math skills. The single variable calculus material covered, including derivatives, integrals, and series, is relevant to modeling and analyzing mechanical systems, thermodynamics, and fluid mechanics. The course's focus on solving problems quickly may be useful, as mechanical engineers often face complex design and analysis challenges under tight deadlines. Having a foundation in single variable calculus helps build a mastery of mathematics overall.

See salaries and explore the career path for Mechanical Engineer

Aerospace Engineer

Aerospace engineers design, develop, and test aircraft and spacecraft, requiring a strong foundation in mathematics and physics. While this course is not directly focused on aerospace engineering, it helps enhance the necessary math skills. The single variable calculus material covered, including derivatives, integrals, and series, is relevant to modeling and analyzing aerodynamic forces, structural mechanics, and control systems. The focus on solving problems quickly may be useful, as aerospace engineers often face complex design and analysis challenges under tight deadlines. Overall, this course can contribute to a stronger mathematical foundation for aerospace engineers. The modules on integration and limits may be useful.

See salaries and explore the career path for Aerospace Engineer

Financial Advisor

Financial advisors provide guidance to clients on investment and financial planning matters. Taking this prep course for the GRE Mathematics test may be useful, given that it helps hone the necessary math skills. While not directly focused on financial advising, the mathematical foundation provided by single variable calculus, including derivatives, integrals, and series, can contribute to a better understanding of financial models and investment strategies. Developing problem-solving skills may be useful, as financial advisors often face complex financial scenarios. This course can contribute to a stronger quantitative foundation for financial advisors, helping them better serve their clients. Financial advisors should be able to perform mathematical calculation related to returns and interest.

See salaries and explore the career path for Financial Advisor

Software Engineer

Software engineers design, develop, and test software applications. This review of single variable calculus helps build a strong foundation for understanding numerical algorithms and optimization techniques used in software development. While not always a core requirement, a solid grasp of calculus helps in areas such as game development, computer graphics, and data analysis. The course's focus on solving problems quickly also helps, as software engineers often face tight deadlines and complex coding challenges. The modules on limits, derivatives, and integrals may be useful when working with complex mathematical models or simulations within software. Overall, this course may provide a competitive edge for software engineers seeking to work on mathematically intensive projects.

See salaries and explore the career path for Software Engineer

Prep for GRE® Subject Math Exam-Module2

Single Var Calculus

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Reviews summary

Gre subject math single var calculus prep

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