Subject Code

   EX001

   Subject Title

   Engineering Mathematics

Objectives

This unit aims to assess the student’s ability to use mathematical concepts in engineering.

Syllabus

1.      Vectors and Matrices

Vector algebra, vector product, scalar product, scalar triple product, vector triple product; Matrix operations; transpose, inverse, and determinant of a matrix.

2.      Complex Numbers

Complex Numbers and their Geometric Representation, Polar Form of Complex Numbers. Powers and Roots

3.      Differentiation

Polynomial, trigonometric, exponential, and logarithmic functions; chain rule of differentiation, partial differentiation

4.      Integration

Integration by methods of   direct integration, integration by parts and integration by substitution

5.      Statistics

         Calculation of basic statistical parameters of a discrete set of data

6.      Probability

         Probability of events

Assessments

• • Exam Duration: 3 hours
  • Number of questions: 30 short answer type questions
  • Pass mark: 40 out of 100

   Subject Code

   EX002

   Subject Title

   Science for Engineering

Objectives

This unit aims to assess the student’s knowledge of science for engineering

Syllabus

1. 1-D Stress strain behavior of linear elastic behavior

 1-D Stress and strain, Hooke’s law, Elastic constants, Axially loaded bars, thermal expansion

2. Electrostatics

Coulomb’s Law, electrostatic forces, capacitance calculations

3. Magnetics

Biot Savart’s Law, Ampere’s Law, Simple Magnetic circuits, Ampere’s Circuital Law, Inductance calculations, magnetic force, Faraday’s Law and Lenz’s Law

4. Electrical circuits

Basic circuit Laws; calculation R, RC and RL circuits with DC inputs; Parameters of Periodic waveforms, linear circuits with AC inputs, real and reactive power

5. Basic electronics

Diode rectifiers; smoothing circuits; Zener regulators; LED and photo diodes, Basic Amplifiers, use of logic gates for implementing simple Boolean functions

6. Chemistry

Chemical bonds, crystal structure, metals, organic compounds, hydrocarbons, polymers, energy aspects of chemical reactions.

7. Statics

Systems of coplanar forces, Static equilibrium of systems of forces, Simple 2-D trusses, Potential energy, Principle of virtual work, Friction, Basic Hydrostatics,

8. Dynamics

Planar motion of particles, Graphs of displacement, Velocity and acceleration, Relative velocity and acceleration,

Newton’s laws of motion, Conservation of momentum, Kinetic energy, Principle of Conservation of Energy, Simple harmonic motion

Assessments

• • Exam paper duration: 3 hours
  • Number of Questions: 50 MCQs (five answer choices per MCQ)
  • Negative marks will be awarded for incorrect answers to prevent 'blind guessing' from receiving a net benefit. For example, in the case of 5 choices per question, if a correct answer gets 1 mark then an incorrect answer will get negative 1/4 marks.
  • Pass mark is 40 out of 100

Exemption for

EX 001: Engineering Mathematics

Grade “S” or above for the Combined Mathematics subject in GCE Advanced Level (Local)

Grade “D” or above for the Further Mathematics or Mathematics subject in  GCE Advanced Level (Cambridge or Edexcel)

Exemption for

EX 002: Science for Engineering

Grade “S” or above for both Physics & Chemistry subjects in GCE Advanced Level (Local)

Grade “D” or above for both Physics & Chemistry subjects in  GCE Advanced Level (Cambridge or Edexcel)

Ms. Dhammika Pathirana

Assistant Manager, Education  

Telephone

: +94 112 698 426, ext 211

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