Main course page

  • General

    • Welcome to the Course

        Welcome to MC Engineering Mathematics 1, a foundational course designed to strengthen your mathematical understanding and analytical skills for solving real-world engineering problems. This course introduces the fundamental principles and concepts in algebra and calculus, which are essential tools in engineering. 

        This micro-credential offers three modules. Module 1 introduces the fundamental principles and concepts in algebra that cover complex numbers, matrices, and vectors. In Module 2, you’ll explore Calculus that involves differentiation and integration techniques for single-variable functions. The final module 3 covers partial derivatives, helping you analyze engineering problems involving multivariable functions.

        You will learn through blended learning, combining self-paced online lessons, guided practice, and interactive assessments. Upon completing each module, you’ll earn a Micro E-Certificate, and a Macro E-Certificate when all three modules are completed.

    • This micro-credential is ideal for:

      • Engineering undergraduates who want to master essential mathematics concepts.
      • Polytechnic or diploma students planning to pursue engineering degrees.
      • Working professionals in technical roles seeking to strengthen their foundation.
      • STEM educators who want to integrate applied mathematics into their teaching.

      By enrolling in this course, you will:

      • Strengthen your understanding of key topics: complex numbers, matrices, vectors, differentiation, integration, partial derivatives.
      • Gain strong problem-solving skills for engineering applications.
      • Earn stackable micro-credentials for academic progression.
      • Learn through flexible blended learning with quizzes & hands-on tasks.
      • Boost your career and academic profile.

        Upon successful completion of this course, learners will be able to:

        • Apply concepts of complex numbers, matrices, and vectors in engineering problems.

        • Apply concepts of differentiation and integration in engineering problems.

        • Analyze and solve problems involving partial derivatives in engineering contexts.

      • Module 1 - Complex numbers, matrices, vectors.
      • Module 2 - Techniques of differentiation & integration and its application.
      • Module 3 - Partial derivative techniques and its application.

      Macro E-Certificate is awarded upon completing all three modules.

      • Complete each module  — start with Basic Algebra, then Differentiation & Integration, and finally Partial Derivatives.
      • Watch the teaching videos provided for each subtopic.
      • Download and review lecture notes for deeper understanding.
      • Complete quizzes or exercises after each module to assess your knowledge.
      • Engage in discussions or forums if available to clarify doubts and share insights.

      Instructors

      Dr. Najah Ghazali

      DR. NAJAH GHAZALI

      Dr. Najah Ghazali

      DR. NURHIDAYAH BINTI OMAR

      Zainab

      DR. ZAINAB BINTI YAHYA

      Biliana

      DR. BILIANA BINTI BIDIN

      Hazadura

      DR. NOR HAZADURA BINTI HAMZAH

      Dr. Nur Afifah

      DR. NUR 'AFIFAH BINTI RUSDI

      Elyana

      ELYANA BINTI SAKIB

      Dr. Najah Ghazali

      ALEZAR BINTI MAT YA'ACOB

    • Instructors

      Dr. Najah Ghazali

      DR. NAJAH GHAZALI

      Dr. Najah Ghazali

      DR. NURHIDAYAH BINTI OMAR

      Zainab

      DR. ZAINAB BINTI YAHYA

      Biliana

      DR. BILIANA BINTI BIDIN

      Hazadura

      DR. NOR HAZADURA BINTI HAMZAH

      Dr. Nur Afifah

      DR. NUR 'AFIFAH BINTI RUSDI

      Elyana

      ELYANA BINTI SAKIB

      Wan Suhana

      DR. WAN SUHANA WAN DAUD

      Elyana

      ALEZAR BINTI MAT YA'ACOB

◄COMPLEX NUMBERVECTOR►

MATRICES

  • MATRICES

    • Instructors

      Biliana

      DR. BILIANA BINTI BIDIN

    • Learning Outcome: By the end of this subtopic, students will be able to (1) Define the concept of a matrix and its notation. (2) Identify the order (size) of a matrix. (3) Describe the basic structure and elements of a matrix.
    • Learning Outcome: By the end of this subtopic, students will be able to (1) Classify matrices according to their types (e.g., square, diagonal, identity, zero, symmetric). (2) Distinguish between row, column, and rectangular matrices. (3) Determine the properties associated with specific matrix types.
    • Learning Outcome: By the end of this subtopic, students will be able to (1) Perform matrix addition, subtraction, and scalar multiplication. (2) Compute matrix multiplication (when defined). (3) Apply the properties of matrix operations in solving mathematical problems.
    • Learning Outcome: By the end of this subtopic, students will be able to (1) Compute the determinant of 2×2 and 3×3 matrices. (2) Apply determinant properties in simplifying calculations.
    • Learning Outcome: By the end of this subtopic, students will be able to (1) Determine whether a matrix has an inverse. (2) Calculate the inverse of 2×2 and 3×3 matrices using the formula/adjoin method. (3) Use the matrix inverse to solve systems of linear equations.
    • Learning Outcome: By the end of this subtopic, students will be able to (1) Form a matrix representation for a system of linear equations. (2) Interpret systems of equations in terms of matrices (coefficient, variable, and constant matrices). (3) Identify types of solutions (unique, many, none).
    • Learning Outcome: By the end of this subtopic, students will be able to solve systems of linear equations using Inverse Method, Gaussian Elimination, Gauss-Jordan Elimination and Cramer's Rule.
    • Learning Outcome: By the end of this subtopic, students will be able to (1) Define eigenvalues and eigenvectors of a matrix. (2) Compute eigenvalues and eigenvectors for 2×2 and 3×3 matrices.
◄COMPLEX NUMBERVECTOR►