Birla Institute of Technology & Science, Pilani
Mathematics for Engineering 专项课程
Birla Institute of Technology & Science, Pilani

Mathematics for Engineering 专项课程

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

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4 月 完成
在 10 小时 一周
灵活的计划
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深入学习学科知识
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推荐体验

4 月 完成
在 10 小时 一周
灵活的计划
自行安排学习进度

您将学到什么

  • 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.

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授课语言:英语(English)
最近已更新!

August 2025

了解顶级公司的员工如何掌握热门技能

Petrobras, TATA, Danone, Capgemini, P&G 和 L'Oreal 的徽标

精进特定领域的专业知识

  • 向大学和行业专家学习热门技能
  • 借助实践项目精通一门科目或一个工具
  • 培养对关键概念的深入理解
  • 通过 Birla Institute of Technology & Science, Pilani 获得职业证书

专业化 - 5门课程系列

Basic Engineering Mathematics

Basic Engineering Mathematics

第 1 门课程17小时

您将学到什么

  • 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.

您将获得的技能

类别:Differential Equations
类别:Mathematical Modeling
类别:Applied Mathematics
类别:Advanced Mathematics
类别:Engineering Analysis
类别:Trigonometry
类别:Geometry
类别:Integral Calculus
类别:Derivatives
类别:Algebra
类别:Engineering Calculations
类别:Calculus
类别:Linear Algebra
类别:Mathematical Theory & Analysis
Probability and Statistics

Probability and Statistics

第 2 门课程30小时

您将学到什么

  • 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.

您将获得的技能

类别:Predictive Modeling
类别:Statistical Methods
类别:Statistical Analysis
类别:Data Analysis
类别:Applied Mathematics
类别:Data Visualization
类别:Exploratory Data Analysis

您将学到什么

  • 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.

您将获得的技能

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

您将学到什么

  • 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.

您将获得的技能

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

Logic for Computer Science

第 5 门课程29小时

您将学到什么

  • 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.

您将获得的技能

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

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位教师

BITS Pilani Instructors Group
Birla Institute of Technology & Science, Pilani
14 门课程37,468 名学生

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