
- Description
- Curriculum
- Reviews
Engineering Mathematics I is designed to equip students with the fundamental mathematical principles required in various engineering disciplines. The course covers a range of topics, including basic algebraic methods, calculus, geometry, and trigonometry. These topics form the foundation for more advanced studies in engineering and technology. The curriculum emphasizes problem-solving, real-world applications, and hands-on practice, ensuring that students not only grasp theoretical concepts but also learn how to apply them to engineering problems.
Throughout the course, students will engage in exercises that demonstrate the practical application of mathematical concepts in engineering tasks, such as calculating dimensions, optimizing processes, and analyzing structures. By the end of the course, students will have developed a solid understanding of how to approach and solve engineering problems using mathematical techniques.
Key Features
- Comprehensive understanding of core mathematical principles used in engineering
- Practical exercises to enhance problem-solving skills
- Step-by-step guidance on key topics like calculus, algebra, and geometry
- Interactive learning approach for real-world engineering applications
- Access to course materials and recorded sessions for review
Course Outcomes
By the end of this course, students will:
- Understand the application of mathematical techniques in engineering problems.
- Master algebraic, trigonometric, and geometric concepts critical to engineering.
- Be able to solve engineering problems using calculus-based methods.
- Apply learned concepts in real-world scenarios, such as dimensioning and graphical analysis.
- Develop the ability to work with various mathematical models and theories relevant to engineering tasks.
Enrollment Details
- Duration: 12 weeks
- Level: Beginner to Intermediate
- Mode: Online/Tutor-led
- Certificate: Upon Completion
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1Role of Mathematics in Engineering
Explore how mathematical concepts are fundamental to solving engineering problems. Understand the application of mathematics in various engineering fields and the importance of precision and accuracy in calculations.
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2Basic Mathematical Tools
Learn about the essential mathematical tools and techniques used in engineering. This includes an overview of mathematical functions, equations, and their relevance in engineering contexts.
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3Algebra for Engineers
Study how to solve linear equations and their applications in engineering problems. This lesson covers methods for solving single and simultaneous linear equations.
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4Linear Equations
Study how to solve linear equations and their applications in engineering problems. This lesson covers methods for solving single and simultaneous linear equations.
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5Quadratic Equations
Understand quadratic equations and their solutions. Explore factoring, the quadratic formula, and how to apply these techniques to solve engineering problems involving curves and trajectories.
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6Factorization and Simplification
Learn techniques for factorizing and simplifying algebraic expressions. This lesson emphasizes how to handle complex equations and polynomials encountered in engineering calculations.
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7Simultaneous Equations
Explore methods for solving systems of simultaneous equations. Apply these methods to solve practical engineering problems where multiple variables are involved.
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8Angles and Measurements
Understand different types of angles, their measurement units, and conversion between units. Learn how these concepts are applied in engineering for calculating angles and distances.
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9Trigonometric Identities
Study key trigonometric identities and their proofs. This lesson focuses on how to use these identities to simplify and solve engineering problems involving angles and periodic functions.
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10Applications in Engineering
Explore practical applications of trigonometry in engineering, such as calculating forces, distances, and angles in structures and mechanical systems.
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11Limits and Continuity
Learn about the concept of limits and continuity. This lesson covers how to determine the behavior of functions as they approach specific points, which is crucial for understanding changes in engineering systems.
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12Differentiation
Study the principles of differentiation, including rules and techniques for finding derivatives. Apply differentiation to analyze rates of change, optimization, and engineering problems involving motion.
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13Integration
Understand integration and its applications in calculating areas, volumes, and solving differential equations. This lesson includes techniques for finding integrals and their use in engineering contexts.
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14Basics of Geometry
Review fundamental geometry concepts such as lines, angles, and shapes. Learn how these concepts form the basis for creating precise engineering drawings and models.
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15Use of Drawing Equipment
Familiarize yourself with various drawing tools and equipment used in engineering drawing. Understand how to use these tools to produce accurate and detailed technical drawings.
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16Lettering, Dimensioning, and Layout
Study the techniques for clear lettering, accurate dimensioning, and effective layout in engineering drawings. This lesson covers standards and practices for creating professional engineering documents.
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17Paper Sizes and Scales
Learn about different paper sizes and scales used in technical drawings. Understand how to select appropriate scales and sizes for various types of engineering drawings.
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18Graphical Calculus Basics
Explore the fundamental concepts of graphical calculus, including plotting functions and interpreting graphical data. This lesson emphasizes how to visualize mathematical functions in engineering applications.
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19Projections of Lines and Planes
Study the techniques for projecting lines and planes onto a 2D surface from a 3D space. This lesson covers orthographic projections and their use in creating accurate technical drawings.
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20Projections of Simple Solids
Learn how to project simple 3D solids, such as cubes and cylinders, onto 2D planes. This lesson includes practical examples and applications in engineering design.
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21Blending Lines and Curves
Understand how to create smooth transitions between lines and curves in technical drawings. This lesson focuses on blending techniques used in mechanical and architectural design.
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22Ellipses and Helixes
Study the geometric properties and drawing techniques for ellipses and helixes. Learn how these curves are applied in engineering contexts, such as in machinery and structural components.
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23Link Mechanisms
Explore the design and analysis of link mechanisms. This lesson covers the principles of linkage systems and their application in mechanical engineering.
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24Pictorial Sketching
Learn techniques for freehand pictorial sketching. This lesson focuses on how to quickly visualize and communicate design ideas without the use of technical drawing tools.
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25Mechanical Sectional Views
Study how to create and interpret mechanical sectional views. This lesson covers the use of sectional views to show internal details and construction of engineering components.
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26True Length and Auxiliary Views
Understand how to determine the true length of inclined lines and create auxiliary views to represent complex geometries. This lesson is crucial for accurate technical drawings.
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27Development of Pyramids and Cones
Learn the methods for developing 3D shapes like pyramids and cones into 2D patterns. This lesson includes techniques for unfolding these shapes to create technical drawings.
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28Development of Prisms and Cylinders
Study the development of prisms and cylinders. This lesson covers the techniques for creating accurate 2D representations of these common 3D shapes.
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29Development of Spheres and Threaded Fasteners
Explore how to develop spherical shapes and understand the design and application of threaded fasteners. This lesson focuses on the practical aspects of creating and using these components in engineering designs.