
Avoin
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**Title:** Discrete Mathematics Course Creation (50 Engineering-Level Videos + Problem Sets) --- **Project Overview:** I am looking for a qualified educator (or team) to develop a **complete Discrete Mathematics course for engineering students**. This is a **high-quality, structured course project**. The goal is to produce **clear, in-depth video lessons with strong problem-solving focus**, not surface-level explanations. --- ## Scope of Work You will create: * **50 total videos** * Each video: **15–20 minutes** * Total runtime: ~12–16 hours Each video must include: * Clear conceptual explanations * Step-by-step worked examples * Engineering-focused applications (where relevant) * Logical teaching flow (concept → examples → application → recap) Additionally, you must: * **Create original problems for each lesson** * Provide **fully worked solutions** * Ensure problems match **engineering-level difficulty** --- ## Full Course Curriculum (MANDATORY) The course must follow this exact structure and include **ALL topics listed below** --- ### **UNIT 1: Foundations & Logic** 1. What Is Discrete Mathematics & Why Engineers Need It 2. Propositions & Logical Statements 3. Logical Connectives (AND, OR, NOT, XOR) 4. Truth Tables 5. Logical Equivalence & Laws of Logic 6. Implication & Biconditional 7. Quantifiers (∀, ∃) and Logical Statements --- ### **UNIT 2: Methods of Proof (Engineering-Level)** 8. Direct Proof (Conceptual + Examples) 9. Proof by Contradiction 10. Proof by Contrapositive 11. Proof by Cases 12. Mathematical Induction --- ### **UNIT 3: Sets, Relations & Functions** 13. Sets & Set Operations 14. Set Identities & Venn Diagrams 15. Cartesian Products 16. Relations & Properties (Reflexive, Symmetric, Transitive) 17. Equivalence Relations 18. Functions & Function Types (Injective, Surjective, Bijective) 19. Function Composition & Inverses --- ### **UNIT 4: Number Theory (VERY IMPORTANT for EE/CE)** 20. Integers & Divisibility 21. Prime Numbers & Fundamental Theorem of Arithmetic 22. Modular Arithmetic 23. Congruences & Modular Equations 24. Applications of Modular Arithmetic (Engineering & Computing) --- ### **UNIT 5: Counting & Combinatorics** 25. Basic Counting Principles 26. Permutations 27. Combinations 28. Binomial Theorem 29. Applications of Counting (Engineering Context) --- ### **UNIT 6: Recursion & Recurrence Relations** 30. Recursive Definitions 31. Recursive Algorithms 32. Recurrence Relations 33. Solving Recurrence Relations (Basic Methods) --- ### **UNIT 7: Graph Theory (CORE for EE/CS)** 34. Graphs & Graph Terminology 35. Types of Graphs (Directed, Undirected, Weighted) 36. Paths, Cycles & Connectivity 37. Trees & Properties of Trees 38. Spanning Trees & Applications 39. Graph Traversal (BFS & DFS – Conceptual) --- ### **UNIT 8: Boolean Algebra & Digital Logic** 40. Boolean Variables & Expressions 41. Boolean Algebra Laws 42. Logic Gates (AND, OR, NOT, NAND, NOR, XOR) 43. Boolean Expression Simplification 44. Karnaugh Maps (Intro Level) --- ### **UNIT 9: Algorithms & Complexity (Intro Level)** 45. Algorithms & Pseudocode 46. Algorithm Correctness (Conceptual) 47. Time Complexity & Big-O Notation 48. Comparing Algorithm Efficiency --- ### **UNIT 10: Engineering Applications & Review** 49. Discrete Math in Electrical & Computer Engineering 50. Problem-Solving Strategies & Exam Preparation --- ## Requirements * Strong background in Mathematics, Engineering, or Computer Science * Experience teaching or creating educational content * Ability to explain concepts clearly and intuitively * Fluent English (very important) * High-quality video/audio production --- ## Deliverables * 50 fully recorded video lessons (15–20 min each) * Problem sets for each lesson * Complete step-by-step solutions * Organized course structure by unit --- ## Budget Open to proposals (fixed price preferred). Quality is the priority — not low-cost bids. --- ## To Apply Please include: 1. Relevant experience (teaching, courses, etc.) 2. Sample video (if available) 3. Your teaching approach for complex topics 4. Estimated timeline --- ## Important Notes * All content must be **original (no plagiarism)** * Must be **engineering-focused and problem-solving oriented** * This is a **serious, high-quality course project** --- Looking for someone who can deliver a **top-tier course comparable to university-level teaching**.
Projektin tunnus (ID): 40358495
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10 freelancerit tarjoavat keskimäärin $1 123 CAD tätä projektia

Hello, "Hello! My name is Mirza Muhammad, and I'm representing Live Experts®, a team of experienced engineers and developers with firm backgrounds in Mathematics, Engineering, and Computer Science. With proficiency in various fields such as machine learning, deep learning, algorithms, etc., we have a track record of delivering high-quality work that meets client satisfaction." "As an educator, I've developed and taught numerous courses in the past successfully. Mathematics being my core strength and teaching my passion, I believe I can bring an intuitive understanding to the concepts of Discrete Mathematics. I am also well-versed in engineering applications, including aspects such as graph theory and number theory that are of immense relevance to Electrical/Computer Engineering." "Quality is our priority over low-cost bids. We pledge to produce meticulously structured course content encompassing all 50 topics (including original problem sets and step-by-step solutions). Our profound grasp on software tools like MATLAB/Mathematica, Python, Ansys, SolidWorks etc. ensures capturing complex engineering problems at its core in a logical teaching flow - from abstract concept to real-life application - which is particularly important for the engineering level course you require." Thanks!
$1 500 CAD 6 päivässä
8,1
8,1

Hi I am an experienced mathematician ( discreet mathematics expert)and online tutoring mathematics and sciences . I can help you solving and preparing tutorial for your topics.
$1 225 CAD 7 päivässä
5,8
5,8

I believe I am an excellent fit for this project because of my strong educational and technical background in Mathematics, Engineering and Computer Science. This unique skill-set allows me to fully understand the complex concepts of Discrete Mathematics and their essential applications in Engineering. In my 8 years of experience in academia, I have developed a knack for clearly explaining complex ideas, simplifying them step-by-step and elucidating their real-world significance, especially in courses like Number Theory, Graph Theory and Boolean Algebra which are central to the Electrical and Computer Engineering field. Additionally, my mastery of diverse content development formats - from sophisticated academic papers to practical business plans - would be invaluable for crafting this detailed Engineering-Level Discrete Mathematics course. Through adopting a logical teaching flow that follows the structure of concept → examples → application → recap per video, learners will be able to see how each topic builds upon the last and grasp the engineering connections better.
$1 125 CAD 7 päivässä
3,8
3,8

Drawing from a strong background in Mathematics and experience in creating educational content, I’m confident that I can deliver a comprehensive Discrete Mathematics course tailored for engineering students. As per your requirements, my videos will employ a logical teaching flow—beginning with clear conceptual explanations and progressing towards problem-solving applications in the field of engineering. Having tutored engineering students before, I deeply understand the unique needs of this audience and will develop content that resonates with them. In addition to creating videos, I will provide original problem sets for each lesson, fully-worked solutions, and ensure problems are engineered enough to stimulate critical thinking. I am well-versed in all the topics listed in your curriculum and understand their intersectional importance in fields such as electrical and computer engineering. Not only will every aspect be covered, but also every video will be created with high-quality video/audio production ensuring maximum engagement for learners. Lastly, my commitment to precision and professionalism will ensure the successful delivery of this project on time and within budget. Quality for me is always a priority over costs, which means you can expect a thoroughly meaningful course, designed to equip engineering students adeptly with Discrete Mathematics skills for their profession. Let's create something impactful together!
$750 CAD 14 päivässä
2,3
2,3

Hello, I am interested in your project, Create Engineering-Level Discrete Maths Course. I've successfully completed projects involving Education & Tutoring, Mathematics before. Happy to discuss the details whenever works for you.
$750 CAD 7 päivässä
0,0
0,0

Hi there, THE CHALLENGE is to create a comprehensive Discrete Mathematics course tailored specifically for engineering students. This project requires a deep understanding of complex mathematical concepts and the ability to communicate them clearly and effectively through video lessons. Ensuring that the course content is not only engaging but also relevant to engineering applications poses a significant challenge. Additionally, developing original problem sets that align with engineering-level difficulty standards will be crucial to providing a valuable learning experience for students. To overcome these challenges, I will leverage my strong background in Mathematics and experience in educational content creation to meticulously craft each lesson, focusing on logical teaching flow and practical problem-solving scenarios. Regards, Matheus
$750 CAD 7 päivässä
0,0
0,0

Creating a high-quality Discrete Mathematics course tailored for engineering students is a commendable endeavor. The challenge lies in delivering structured, engaging, and deep content that not only explains concepts but also emphasizes problem-solving. With over 12 years of experience in educational content development and a strong background in Mathematics and Computer Science, I can effectively address this challenge. My expertise includes creating clear video lessons that incorporate strong logical flows using technologies like React.js for interactive elements and utilizing platforms such as AWS for reliable video hosting. I understand the importance of providing original problems and detailed solutions aligned with engineering applications. My teaching approach focuses on making complex topics intuitive while ensuring clarity through visual aids and step-by-step examples. To ensure we meet your vision, could you share how you envision integrating real-world engineering applications into the course content? This will help align our goals better.
$1 500 CAD 7 päivässä
0,0
0,0

We’ve just completed a detailed math course emphasizing engineering applications, which improved learner engagement and problem-solving confidence significantly. Your need for a rigorous, clear discrete mathematics course aligns with this experience. We help clients by breaking down complex concepts into logical, approachable lessons paired with curated problem sets, making challenging material feel attainable. This method supports students in developing deep understanding and practical skills efficiently. I’m new to this platform but have ample experience and confidence in delivering quality educational content. I’d love to chat about your project! The worst that can happen is you walk away with a free consultation. Regards, Nathan Holmes
$1 000 CAD 7 päivässä
0,0
0,0

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