Birla Institute of Technology & Science, Pilani
Mathematics for Engineering Specialization

Discover new skills with 30% off courses from industry experts. Save now.

Birla Institute of Technology & Science, Pilani

Mathematics for Engineering Specialization

Mathematical Foundations for an Engineering Career. Master core mathematical skills essential for advanced careers in technical domains.

Included with Coursera Plus

Get in-depth knowledge of a subject
Beginner level

Recommended experience

4 months to complete
at 10 hours a week
Flexible schedule
Learn at your own pace
Get in-depth knowledge of a subject
Beginner level

Recommended experience

4 months to complete
at 10 hours a week
Flexible schedule
Learn at your own pace

What you'll learn

  • Master calculus, trigonometry, matrices, differential equations, and algebraic techniques essential for engineering and data science.

  • Apply probability theory, statistical distributions, hypothesis testing, and confidence intervals to analyze data and validate findings.

  • Develop logical thinking through mathematical proofs, discrete structures, graph theory, and formal verification techniques.

  • Solve optimization problems using linear algebra, eigenvalue analysis, and mathematical modeling for machine learning applications.

Details to know

Shareable certificate

Add to your LinkedIn profile

Taught in English

See how employees at top companies are mastering in-demand skills

 logos of Petrobras, TATA, Danone, Capgemini, P&G and L'Oreal

Advance your subject-matter expertise

  • Learn in-demand skills from university and industry experts
  • Master a subject or tool with hands-on projects
  • Develop a deep understanding of key concepts
  • Earn a career certificate from Birla Institute of Technology & Science, Pilani

Specialization - 5 course series

What you'll learn

  • Integrate trigonometric concepts to analyse and solve complex real-world engineering problems.

  • Critically evaluate and solve intricate systems of linear equations using matrix operations.

  • Synthesise the principles of differentiation and integration to develop and optimise engineering models.

  • Formulate and solve first-order and first-degree differential equations to effectively model a variety of engineering processes.

Skills you'll gain

Category: Differential Equations
Category: Trigonometry
Category: Applied Mathematics
Category: Engineering Calculations
Category: Linear Algebra
Category: Mathematical Theory & Analysis
Category: Integral Calculus
Category: Calculus
Category: Derivatives
Category: Algebra
Category: Arithmetic
Probability and Statistics

Probability and Statistics

Course 230 hours

What you'll learn

  • Evaluate and interpret complex data sets with probabilistic models, applying Bayes’ theorem and Chebyshev’s inequality to solve real-world problems.

  • Design hypothesis tests, including t-tests, z-tests, and chi-square tests, to validate data-driven hypotheses in various professional contexts.

  • Construct and optimise predictive models using multiple and nonlinear regression techniques to forecast outcomes and improve decision-making.

  • Synthesise probability and statistical knowledge to develop innovative solutions for complex analytical challenges.

Skills you'll gain

Category: Data Analysis
Category: Statistical Analysis
Category: Predictive Modeling
Category: Applied Mathematics
Category: Analytics
Category: Statistical Modeling
Category: Data Visualization

What you'll learn

  • Analyse and assess complex problems by applying set theory and functions, ensuring accurate and efficient solutions are developed.

  • Design and evaluate graph-based models to optimise algorithms and enhance network analysis in cryptography and database management contexts.

  • Critique mathematical proofs and reasoning to enhance problem-solving skills in varied scenarios.

  • Innovate discrete structures to efficiently solve problems in data structures, operating systems, and computation theory.

Skills you'll gain

Category: Programming Principles
Category: Cryptography
Category: Data Management
Category: Theoretical Computer Science
Category: Algorithms
Category: Applied Mathematics
Category: Probability & Statistics

What you'll learn

  • Analyse and evaluate complex data structures using advanced linear algebra techniques.

  • Implement sophisticated algorithms and apply advanced techniques to optimise and improve machine learning models.

  • Synthesise and apply mathematical theories to solve complex real-world problems.

  • Evaluate and develop innovative solutions using linear programming to address complex challenges in machine learning and AI systems.

Skills you'll gain

Category: Dimensionality Reduction
Category: Linear Algebra
Category: Artificial Neural Networks
Category: Numerical Analysis
Category: Data Analysis
Category: Machine Learning
Category: Artificial Intelligence and Machine Learning (AI/ML)
Category: Applied Mathematics
Logic for Computer Science

Logic for Computer Science

Course 529 hours

What you'll learn

  • Analyse computational problems to identify appropriate proof techniques and logical reasoning methods that best address their complexities.

  • Design comprehensive solutions to algorithm development challenges by synthesising and applying principles of propositional and predicate logic.

  • Evaluate system reliability by conducting model checking using temporal logics, and interpret the results to ensure system correctness.

  • Construct formal verification plans for algorithms and programs using Floyd-Hoare logics and justify their correctness through logical reasoning.

Skills you'll gain

Category: Computer Programming
Category: Verification And Validation
Category: Logical Reasoning
Category: Analytical Skills
Category: Software Development
Category: Computer Science
Category: Computational Thinking
Category: Machine Learning
Category: Algorithms
Category: Deductive Reasoning
Category: Data Analysis
Category: Theoretical Computer Science
Category: Computational Logic
Category: Program Development

Earn a career certificate

Add this credential to your LinkedIn profile, resume, or CV. Share it on social media and in your performance review.

Instructor

BITS Pilani Instructors Group
Birla Institute of Technology & Science, Pilani
10 Courses32,316 learners

Offered by

Why people choose Coursera for their career

Felipe M.
Learner since 2018
"To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood."
Jennifer J.
Learner since 2020
"I directly applied the concepts and skills I learned from my courses to an exciting new project at work."
Larry W.
Learner since 2021
"When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go."
Chaitanya A.
"Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits."
Coursera Plus

Open new doors with Coursera Plus

Unlimited access to 10,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription

Advance your career with an online degree

Earn a degree from world-class universities - 100% online

Join over 3,400 global companies that choose Coursera for Business

Upskill your employees to excel in the digital economy

Frequently asked questions