Course Objectives

The course seeks to:

  1. Familiarize students with basic mathematical concepts and terminologies.
  2. Equip students with mathematical tools applicable to management and related fields.
  3. Enhance problem-solving skills using algebra, calculus, and trigonometry.
  4. Promote critical thinking through mathematical reasoning.
  5. Prepare students for advanced mathematical applications in their respective disciplines.

Learning Outcomes

Upon successful completion of this course, students should be able to:

  1. Identify and explain the basic concepts of mathematics.
  2. Apply preliminary mathematical principles to management-related problems.
  3. Perform computations involving algebra, differential, and integral calculus.
  4. Solve problems using mathematical techniques and methods.
  5. Distinguish between basic mathematical principles and their practical applications.

Course Contents

Module 1: Number Systems and Algebra

  • Number systems: Real and complex numbers.
  • Indices, surds, and logarithms.
  • Polynomials, remainders, and factor theorems.
  • Polynomial equations and rational functions.
  • Partial fractions.

Module 2: Fields and Inequalities

  • Fields and ordered fields.
  • Mathematical induction.
  • Inequalities and their applications.

Module 3: Combinatorics and Sequences

  • Permutations and combinations.
  • Binomial theorem.
  • Sequences and series.

Module 4: Quadratic Equations and Complex Numbers

  • The quadratic equation and its roots.
  • Relation between roots and coefficients.
  • Complex numbers: addition, subtraction, multiplication, division.
  • Argand diagram and De Moivre’s theorem.
  • nth roots of complex numbers.

Module 5: Set Theory and Trigonometry

  • Elementary set theory: Venn diagrams, De Morgan’s laws, and applications.
  • Trigonometry: Properties of basic trigonometric functions.
  • Addition formulae, basic identities, and solutions of trigonometric equations.
  • Inverse trigonometric functions.
  • Sine and cosine formulae.
  • Area of a triangle and half-angle formulae.

Module 6: Functions and Calculus

  • Concept, notation, and examples of functions.
  • Exponential and logarithmic functions: Graphs and properties.
  • Limits and continuity.
  • Techniques for finding limits.

Module 7: Differentiation

  • Derivative: Calculation from first principles.
  • Techniques of differentiation: chain rule, higher-order derivatives.
  • Applications: Mean-value theorem, extremum problems.
  • Indeterminate forms and L’Hospital’s rule.
  • Taylor’s and Maclaurin’s series.

Module 8: Integration

  • Integration: Definition and concepts.
  • Definite integrals and their properties.
  • Applications: Area under curves, limit of finite sums.

Teaching and Learning Methods

  • Lectures: To explain theoretical concepts.
  • Worked Examples: To demonstrate practical applications.
  • Problem-Solving Sessions: To build computational and analytical skills.
  • Assignments and Tutorials: To reinforce understanding.

Assessment Methods

  1. Continuous Assessment: Quizzes, assignments, and participation (40%).
  2. Final Examination: Comprehensive written exam (60%).

Reading List/References

Core Texts:

  1. Stroud, K. A., & Booth, D. J. (2020). Engineering Mathematics (8th ed.). Macmillan.
  2. Stewart, J. (2019). Calculus: Early Transcendentals (8th ed.). Cengage Learning.

Supplementary Texts:

  1. Lay, D. C., McDonald, S. R., & Lay, J. J. (2020). Linear Algebra and Its Applications (6th ed.). Pearson.
  2. Anton, H., Bivens, I., & Davis, S. (2016). Calculus (10th ed.). Wiley.

Online Resources: