Basic Mathematics from Coursera

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Syllabus

Course Introduction

This module introduces you to the course and its syllabus. The course introductory video orients you to the skills and knowledge you will acquire through this course. The syllabus reading highlights the course values, assessments, grading scheme, schedule and details of live sessions, and readings list that you must procure to acquire the concepts better. You will also meet and greet your peers around the globe through a discussion prompt.

Complex Numbers & Quadratic Equations

In this module we will present real & complex number system, properties of complex numbers, algebra of complex numbers, complex conjugate, argand plane, types of equations, roots of quadratic equation.

Trigonometry

In this module, we will present the basics of trigonometry, trigonometric identities and applications of trigonometry.

Matrices

In this module, we will present definition, types of matrices and also learn algebraic operations on matrices, finding inverse of a matrix. Also given system of equations we will learn finding its solution and also rank of a given matrix.

Differential Calculus with applications

In this module, we will present functions, types of functions, definition of limit, standard form, standard limits, indeterminate forms, continuity and differentiability, derivative of standard functions, applications of derivatives, mean value theorem.

Integral Calculus with Applications

In this module, we will present integral of a function, integrals of standard functions, properties, product rule, division rule, applications of integration.

Ordinary Differential Equations

In this module, we will present types of differential equations, order and degree of a differential equation, First order and first degree differential equation solutions - variable separable, Homogeneous and Non homogeneous equation, exact and non – exact differential equation, first order linear differential equations.

Good to know

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Offers an elementary introduction to basic mathematics concepts, which is standard in many academic settings

Taught by Y V K Ravi Kumar and Naraparaju Kishore Kumar

Covers a wide range of topics, such as complex numbers, quadratic equations, trigonometry, matrices, differential calculus, integral calculus, and ordinary differential equations, which are core skills in many fields

Provides applications of each concept, which helps learners understand the practical relevance of the material

May not be suitable for learners with no prior exposure to mathematics

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 Basic Mathematics with these activities:

Review Complex Numbers

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Refresh your knowledge of complex numbers before the course begins.

Browse courses on Complex Numbers

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Go over your notes from a previous course or textbook.
Solve practice problems related to complex numbers.

Watch Video Lectures on Matrices

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Gain a deeper understanding of matrices by watching video lectures from experts.

Browse courses on Matrices

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Find a series of video lectures on matrices.
Watch the lectures and take notes.
Complete the practice exercises provided by the instructor.

Review Advanced Calculus

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Build a better foundation for course concepts by reviewing advanced calculus topics.

View An Introduction to Complex Analysis in Several... on Amazon

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Read the first five chapters of the book.
Solve the exercises at the end of each chapter.
Summarize the main concepts of each chapter.

Five other activities

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Mentor a New Student

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Provide guidance and support to a new student in the course.

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Reach out to a new student and offer your support.
Meet regularly to discuss course materials and provide guidance.
Answer questions and provide encouragement.
Celebrate the student's successes.

Solve Differential Equations

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Become more familiar with solving differential equations, a fundamental skill for this course.

Browse courses on Differential Calculus

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Find a set of practice problems online or in a textbook.
Solve as many problems as you can.
Check your answers against the provided solutions.

Join a Study Group

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Connect with other students and engage in discussions to reinforce course concepts.

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Find a study group or create your own.
Meet regularly to discuss course materials.
Work together to solve problems and prepare for assessments.

Tutor Students in Math

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Enhance your understanding of course concepts by teaching them to others.

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Find a tutoring opportunity at a local school or community center.
Prepare lesson plans and materials.
Tutor students in math concepts.
Reflect on your tutoring experiences and identify areas for improvement.

Develop a Math Problem Solver

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Solidify your understanding of course concepts by creating a program that can solve math problems.

Browse courses on Differential Calculus

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Choose a programming language and environment.
Design the architecture of your program.
Implement the program.
Test and debug your program.
Document your program.

Career center

Learners who complete Basic Mathematics will develop knowledge and skills that may be useful to these careers:

Computer Scientist

Computer Scientists use mathematics to design and analyze computer systems. The course on Matrices and Differential Calculus with applications may be useful for providing a foundation in mathematics for this role.

See salaries and explore the career path for Computer Scientist

Mathematician

Mathematicians use mathematics to solve problems in a variety of fields, including science, engineering, and business. The course on Complex Numbers & Quadratic Equations would provide a solid foundation in mathematics for this role.

See salaries and explore the career path for Mathematician

Data Scientist

Data Scientists use mathematics and statistics to analyze data and extract insights. The course on Matrices and Differential Calculus with applications would be useful for this role by teaching concepts such as machine learning and data mining.

See salaries and explore the career path for Data Scientist

Statistician

Statisticians use mathematics to collect, analyze, and interpret data. The course on Matrices and Differential Calculus with applications would be useful for this role by teaching concepts such as probability and statistical inference.

See salaries and explore the career path for Statistician

Economist

Economists use mathematics to analyze economic data and make predictions about economic trends. The course on Differential Calculus with applications and Integral Calculus with Applications would be useful for this role by teaching concepts such as econometrics and mathematical modeling.

See salaries and explore the career path for Economist

Financial Risk Manager

Financial Risk Managers use mathematics to assess and manage financial risk. The course on Differential Calculus with applications and Integral Calculus with Applications would be useful for this role by teaching concepts such as risk modeling and portfolio optimization.

See salaries and explore the career path for Financial Risk Manager

Quantitative Analyst

Quantitative Analysts use mathematics and statistics to analyze financial data and make investment decisions. The course on Matrices and Differential Calculus with applications may be helpful in preparing for this role.

See salaries and explore the career path for Quantitative Analyst

Market Researcher

Market Researchers use statistics and mathematics to analyze market data and trends. The course on Differential Calculus with applications may be useful for understanding the concepts of calculus as they apply to market research.

See salaries and explore the career path for Market Researcher

Operations Research Analyst

Operations Research Analysts use mathematics to solve complex problems in business and industry. The course on Matrices and Differential Calculus with applications may be useful for this career.

See salaries and explore the career path for Operations Research Analyst

Business Analyst

Business Analysts use mathematics and statistics to analyze business data and make recommendations for improvement. The course on Matrices and Differential Calculus with applications may be useful for providing a foundation in mathematics for this role.

See salaries and explore the career path for Business Analyst

Financial Analyst

Financial Analysts employ complex mathematics on a daily basis to help companies make smart investment decisions. The course on Differential Calculus with applications may be useful for learning the applications of calculus to business.

See salaries and explore the career path for Financial Analyst

Data Analyst

Data Analysts use a variety of mathematical concepts to analyze data, including matrices for storing and manipulating data, and differential calculus for understanding the rate of change of data over time. The course on Matrices and Differential Calculus with applications may be useful for advancing in this career.

See salaries and explore the career path for Data Analyst

Actuary

Actuaries use mathematics to assess risk and uncertainty in financial situations. The course on Differential Calculus with applications and Integral Calculus with Applications may be useful for advancing career.

See salaries and explore the career path for Actuary

Investment Banker

Investment Bankers use complex mathematics to analyze financial data and make investment decisions. The course on Differential Calculus with applications would be useful for this career.

See salaries and explore the career path for Investment Banker

Software Engineer

Software Engineers use trigonometry to perform advanced calculations, such as those used in computer graphics or physics simulations. The course on Trigonometry may be useful for gaining a deeper understanding of this important field of mathematics.

See salaries and explore the career path for Software Engineer