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

MATRICES►

COMPLEX NUMBER

  • COMPLEX NUMBER

    • Instructors

      Elyana

      ELYANA BINTI SAKIB

    • Learning Outcome: At the end of this module, student should be able to:
      1. Define a complex number.
      2. Identify the real and imaginary part of the complex number.
      3. Explain the meaning of the imaginary unit, \(i\) and use the relation of i2=-1
    • Learning Outcome: At the end of this module, student should be able to represent complex numbers on the complex plane using Cartesian coordinates.
    • Learning Outcome: At the end of this module, student should be able to perform basic operations on complex numbers in algebraic form
    • Learning Outcome: At the end of this module, student should be able to:
      1. Define the modulus (r) and the argument (θ) of a complex number.
      2. Convert a complex number between algebraic form \(a+bi\) and polar form \(r(\cos\theta + i\sin\theta)\).
      3. Use polar form to carry out multiplication and division of complex numbers efficiently by combining moduli and adding/subtracting arguments.
    • Learning Outcome: At the end of this module, student should be able to:
      1. State and interpret Euler’s formula \(e^{i\theta}=\cos\theta + i\sin\theta\).
      2. Express a complex number in exponential form \(re^{i\theta}\) and convert back to polar/algebraic forms.
      3. Compute complex roots using the exponential form.
    • Learning Outcome: At the end of this module, student should be able to:
      1. State De Moivre’s Theorem for integer powers: (\cos\theta + i\sin\theta)^n = \cos(n\theta) + i\sin(n\theta).
      2. Apply De Moivre’s Theorem to compute powers of complex numbers expressed in polar or exponential form.
      3. Use the theorem to expand trigonometric expressions .
      4. Find the n-th roots of complex numbers and list all distinct roots using the formula for roots in polar/exponential form.
    • Learning Outcome: At the end of this module, student should be able to:
      1. State the general formula for the n-th roots of a complex number expressed in polar form.
      2. Compute the modulus and argument of a given complex number and use them to find its principal n-th root.
      3. Convert each root from exponential/polar form back to algebraic form \(a+bi\) and simplify where appropriate.
    • Learning Outcome: At the end of this module, student should be able to
      1. Describe the locus geomatrically.
      2. Derive the equation of locus.
      3. Calculate the voltage using the Ohm's Law.
MATRICES►