Solve Math Problems With A Computer Using Maple from Udemy

Tired of doing super long calculations in mathematics and engineering and not even knowing if your final answer is correct? Want to increase your knowledge of mathematics and programming? Want to learn how to solve the majority of undergraduate math problems in a few lines of code?

Then this course is for you.

In this course you will learn to use the software and programming language Maple. No programming experience is required. Maple is super easy to learn.

You will quickly learn the basics and then learn how to solve any math problem from algebra, calculus, linear algebra, differential equations, and more.

What's inside

Learning objectives

Use maple to solve problems from calculus, linear algebra, and differential equations with a few lines of code!
Get an edge in your math, engineering, and science classes!

Learn to solve all kinds of math problems with modern software!

Use maple to solve problems from calculus, linear algebra, and differential equations with a few lines of code!
Get an edge in your math, engineering, and science classes!
Learn to solve all kinds of math problems with modern software!

Syllabus

Introduction to Maple

Introduction

The following code will allow your students access to the same 25% off deal you’ve had in the past:

Instructions for students to Download Maple 2021 Student Editions
Go to the webstore at: https://webstore.maplesoft.com/index.aspx

Select Category: Student

Select Location: US

Promotion Code: LEVY-M2021-1221

This code will last until mid-march 2022.

Setting Up Maple Options/Preferences

Basics of Maple

Mathematical Functions. Defining, Evaluating and Plotting.

Solving Equations. Symbolically and Numerically.

Algebra: Simplify. Expand. Factor. Substitute. Evaluate.

Calculus Problems

Limits

Derivatives

Tangent Line Examples

Implicit Differentiation

Implicit Differentiation Example 2. Implicit Plot. Tangent Line.

Related Rates

Optimization

Integrals

Partial Fractions

Parametric Equations

Sums and Infinite Series

Taylor Series

Linear Algebra

Solving Systems of Equations

Solve Linear System. Matrix Reduction: Matrix Inversion. Matrix Multiplication.

Eigenvalues and Eigenvectors

Contextual Menus

Contextual Menus To The Rescue!

Differential Equations

Solving DEs Analytically

Solving DEs Numerically

Solving Systems of DEs. Numerics. Equilibrium Points. Stability. PhasePortraits.

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 Solve Math Problems With A Computer Using Maple with these activities:

Review Calculus Fundamentals

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Reinforce your understanding of calculus concepts before diving into Maple's calculus solvers. A strong foundation will help you interpret Maple's results and troubleshoot errors.

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Review limit definitions and techniques.
Practice differentiation and integration rules.
Work through example problems from a calculus textbook.

Review: Advanced Engineering Mathematics

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Strengthen your mathematical foundation with a comprehensive engineering mathematics textbook. This will provide a deeper understanding of the concepts you're solving with Maple.

View Advanced Engineering Mathematics on Amazon

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Obtain a copy of Advanced Engineering Mathematics.
Review relevant chapters on linear algebra, differential equations, and calculus.
Use the book as a reference while working on Maple projects.

Practice Solving Equations by Hand

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Sharpen your equation-solving skills to better understand the underlying mathematical principles. This will help you verify Maple's solutions and identify potential errors.

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Solve algebraic equations manually.
Solve systems of linear equations using substitution or elimination.
Practice solving differential equations by hand.

Four other activities

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Show all seven activities

Create a Maple Cheat Sheet

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Consolidate your knowledge of Maple syntax and commands by creating a personalized cheat sheet. This will serve as a quick reference guide during and after the course.

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List essential Maple commands for algebra, calculus, and linear algebra.
Include examples of how to use each command.
Organize the cheat sheet for easy navigation.

Review: Maple Programming Pocket Reference

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Supplement your learning with a dedicated Maple programming reference. This will help you delve deeper into Maple's capabilities and write more efficient code.

View Putting Knowledge to Work on Amazon

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Acquire a copy of the Maple Programming Pocket Reference.
Browse the book to familiarize yourself with its contents.
Use the book as a reference while working on Maple projects.

Project: Solve Engineering Problems with Maple

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Apply your Maple skills to solve real-world engineering problems. This project will solidify your understanding and demonstrate the practical applications of Maple.

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Choose a set of engineering problems from your field of interest.
Use Maple to solve each problem, documenting your code and results.
Write a report summarizing your findings and discussing the benefits of using Maple.

Create a Maple Demonstration Notebook

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Showcase your Maple skills by creating a demonstration notebook that solves a variety of math problems. This deliverable can be used to demonstrate your proficiency to potential employers or clients.

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Select a range of math problems from different areas (calculus, linear algebra, etc.).
Create a Maple notebook that solves each problem step-by-step.
Add comments and explanations to your code.
Format the notebook for easy readability and presentation.

Career center

Learners who complete Solve Math Problems With A Computer Using Maple will develop knowledge and skills that may be useful to these careers:

Quantitative Analyst

Quantitative Analysts, often working in the financial industry, develop and implement mathematical models for pricing derivatives, managing risk, and making trading decisions. This course builds a strong foundation for a Quantitative Analyst, as it teaches how to use Maple to solve complex mathematical problems. The course's coverage of calculus, linear algebra, and differential equations is highly relevant to quantitative finance. The ability to solve equations symbolically and numerically, and to perform matrix operations, is crucial for developing and implementing financial models. Quantitative Analysts use mathematical and statistical methods to solve financial and risk management problems. The course's focus on using Maple may greatly aid them.

See salaries and explore the career path for Quantitative Analyst

Mechanical Engineer

Mechanical Engineers design, develop, and test mechanical devices and systems. This course builds a strong foundation, because it introduces the use of Maple for solving mathematical problems encountered in mechanical engineering. The course's coverage of calculus, linear algebra, and differential equations is directly applicable to areas such as thermodynamics, fluid mechanics, and structural analysis. The ability to solve complex equations and perform simulations is essential for designing and analyzing mechanical systems. Learning how to use Maple to solve these problems can significantly enhance a Mechanical Engineer's efficiency and accuracy. Mechanical Engineering is a discipline based in mathematics.

See salaries and explore the career path for Mechanical Engineer

Aerospace Engineer

Aerospace Engineers design, develop, and test aircraft and spacecraft. Aerospace engineering relies heavily on mathematical modeling and simulation, making this course a beneficial tool. The course's coverage of calculus, linear algebra, and differential equations is directly relevant to the mathematical principles used in aerospace engineering. The ability to solve complex equations and perform simulations is essential for designing and analyzing aerospace systems. Learning how to use Maple to solve these problems can significantly enhance an Aerospace Engineer's efficiency and accuracy. Aerospace Engineers often need to model highly complex systems.

See salaries and explore the career path for Aerospace Engineer

Electrical Engineer

Electrical Engineers design, develop, and test electrical equipment and systems. This course builds a solid foundation, as it covers the use of Maple for solving mathematical problems relevant to electrical engineering. The course's coverage of calculus, linear algebra, and differential equations is directly applicable to circuit analysis, signal processing, and control systems. The ability to solve complex equations and perform simulations is essential for designing and analyzing electrical systems. Learning how to use Maple to solve these problems can significantly enhance the efficiency and accuracy of an Electrical Engineer. This is a field that requires a strong understanding of mathematics.

See salaries and explore the career path for Electrical Engineer

Operations Research Analyst

Operations Research Analysts use mathematical and analytical methods to help organizations make better decisions. This course helps to build a solid understanding, as it introduces the use of Maple for solving mathematical problems. The course's coverage of calculus, linear algebra, and differential equations is directly applicable to areas such as optimization, simulation, and queuing theory. The ability to solve complex equations and perform simulations is essential for analyzing and improving organizational processes. Operations research is a fast growing field. For an Operations Research Analyst the ability to use Maple to solve these problems can significantly enhance their efficiency and accuracy.

See salaries and explore the career path for Operations Research Analyst

Numerical Analyst

A Numerical Analyst develops and implements numerical methods for solving mathematical problems that arise in various fields. This course helps build a foundation, as it covers numerical solutions to equations and differential equations using Maple. Numerical Analysts require a strong background in mathematics and programming, and the course's focus on solving problems in calculus, linear algebra, and differential equations is directly relevant. Moreover, the ability to solve systems of differential equations numerically, as taught in the course, is crucial for modeling real-world phenomena. A Numerical Analyst is well suited to take this course.

See salaries and explore the career path for Numerical Analyst

Civil Engineer

Civil Engineers design, construct, and maintain infrastructure projects such as roads, bridges, and buildings. This course may be helpful for a Civil Engineer because it provides a deeper understanding of how to use Maple to solve mathematical problems relevant to civil engineering. The course's emphasis on calculus, linear algebra, and differential equations is applicable to structural analysis, fluid mechanics, and surveying. The ability to solve complex equations and perform simulations is essential for designing and analyzing civil engineering projects. The ability to use Maple to solve such problems can enhance a Civil Engineer's efficiency and accuracy. Civil Engineering is a field that is highly dependent on accurate calculations.

See salaries and explore the career path for Civil Engineer

Chemical Engineer

Chemical Engineers design and develop chemical manufacturing processes and equipment. This course may be useful, as it provides skills in using Maple to solve mathematical problems encountered in chemical engineering. The course's coverage of calculus, linear algebra, and differential equations is directly applicable to areas such as reaction kinetics, mass transfer, and process control. The ability to solve complex equations and perform simulations is essential for designing and optimizing chemical processes. Chemical Engineers are often tasked with creating mathematical models of reaction processes.

See salaries and explore the career path for Chemical Engineer

Research Scientist

A Research Scientist designs and conducts experiments, analyzes data, and develops new theories or technologies in a specific scientific field. This course may be beneficial, because proficiency in using software like Maple can significantly enhance your ability to solve complex mathematical problems that often arise in research. The course covers essential topics such as calculus, linear algebra, and differential equations, providing a strong foundation for mathematical modeling and simulation. The course's emphasis on using Maple to solve problems can be invaluable for a Research Scientist, enabling them to analyze data and test hypotheses more effectively. In a research role, scientists often rely on complex mathematics.

See salaries and explore the career path for Research Scientist

Computational Mathematician

A Computational Mathematician applies mathematical principles and techniques to solve complex problems using computer software. This course may be useful, as it provides a foundation in using Maple to tackle problems in calculus, linear algebra, and differential equations. Skills in symbolic and numerical equation solving, as well as matrix manipulation, are directly applicable to the kind of mathematical modeling and simulation a Computational Mathematician performs. You'll be better equipped to develop and implement algorithms for mathematical computations, enhancing your ability to analyze and interpret data, a crucial aspect of this field. The course's focus on using Maple to solve problems from various mathematical domains, such as calculus and linear algebra, aligns perfectly with the daily tasks of a Computational Mathematician.

See salaries and explore the career path for Computational Mathematician

Data Scientist

Data Scientists analyze and interpret complex data sets to identify trends and patterns, often using programming languages and mathematical tools. This course may be helpful, as it introduces Maple, which can be used for mathematical computations, symbolic calculations, and data visualization. A Data Scientist needs a robust understanding of mathematical concepts and the ability to apply them using software. The course covers topics such as solving equations, calculus, and linear algebra, forming a solid foundation for the mathematical skills required in data science. Learning how to solve a range of math problems with Maple allows a Data Scientist to be more efficient in data analysis. A Data Scientist is often faced with performing data analysis: this course may equip one to do that.

See salaries and explore the career path for Data Scientist

Statistician

Statisticians collect, analyze, and interpret data to identify trends and patterns, often using statistical software and mathematical models. This course may be beneficial, because it provides a greater ability to use Maple for solving mathematical problems. Even though a Statistician will be using dedicated statistical software, it is still useful to have an understanding of how to execute symbolic mathematics. The course covers topics such as solving equations, calculus, and linear algebra, which are relevant to statistical modeling and analysis. The ability to perform calculations and solve equations efficiently is essential for a Statistician. The course may help one to be more efficient in their day to day operations.

See salaries and explore the career path for Statistician

Economist

Economists study the production, distribution, and consumption of goods and services, often using mathematical models and statistical analysis. This course may be helpful for an Economist, because it may enhance their proficiency in using Maple to solve mathematical problems. The course's emphasis on calculus, linear algebra, and differential equations is relevant to economic modeling and analysis. Economics is becoming an increasingly mathematical discpline. Economists analyze data, research trends, and evaluate economic issues. Learning how to perform calculations and solve equations efficiently will serve an Economist well. The course may allow one to use economic models more efficiently.

See salaries and explore the career path for Economist

Software Engineer

Software Engineers design, develop, and test software applications. This course helps to provide a solid foundation, as it teaches how to use Maple to solve mathematical problems. Although Software Engineers may not always deal directly with mathematical computations, understanding mathematical principles is essential for developing algorithms and solving complex problems. The course's focus on using software to tackle problems in calculus, linear algebra, and differential equations is a valuable asset, particularly for those working on scientific or engineering applications. Software Engineers must be excellent problem solvers. A course such as this one may help bolster their mathematical problem solving abilities.

See salaries and explore the career path for Software Engineer

Financial Analyst

Financial Analysts evaluate financial data, provide investment recommendations, and help businesses make informed decisions. This course may be directly helpful for a Financial Analyst, as it introduces the use of Maple for solving mathematical problems. The course covers topics such as solving equations, calculus, and linear algebra, which are relevant to financial modeling and analysis. Learning how to perform calculations and solve equations efficiently is essential for a Financial Analyst. Those looking to move into quantitative analysis roles may find this course particularly relevant. Financial Analysts apply mathematical, statistical, and economic principles to analyze data.

See salaries and explore the career path for Financial Analyst

Solve Math Problems With A Computer Using Maple

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Learning objectives

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