Foundations of Mathematics 1

Cod y Modiwl
MA02610
Teitl y Modiwl
Foundations of Mathematics 1
Blwyddyn Academaidd
2027/2028
Semester
Semester 1
Cyd-gysylltydd y Modiwl
Dr Adil Mughal
Rhestr Ddarllen
Gweld ar Aspire
Anghymharus (Unrhyw Flwyddyn Acad)

Staff Eraill sy'n Cyfrannu
Dr Adil Mughal

Dulliau Asesu

Math o Asesiad

Manylion Asesiad

Cyfran
Asesiad Semester Problem sheets: 20%
Arholiad Semester Written Examination: 2 Awr 80%
Asesiad Ailsefyll Supplementary Assessment: Blackboard Test. 20%
Arholiad Ailsefyll Supplementary Written Examination: 2 Awr 80%

Canlyniadau Dysgu

Wedi cwblhau'r modiwl dylai'r myfyrwyr fedru:

  1. Evaluate powers of a number where the exponent is positive, negative, whole or fractional;
  2. Simplify algebraic expressions using the rules of exponents;
  3. Solve linear and quadratic equations;
  4. Use the function notation, y = f(x);
  5. Determine the inverse of a function;
  6. Sketch the graphs of linear and quadratic functions;
  7. Find the slope of a straight line given any two points on the line;
  8. Use both notations, f'(x) and dy/dx, for the derivative of a function;
  9. Differentiate simple polynomial functions and functions of the form f(x) + g(x), f(x)-g(x);
  10. Evaluate second-order derivatives;
  11. Describe the use of the exponential function in economic modelling;
  12. Sketch graphs involving the exponential function;
  13. Differentiate the exponential and natural logarithm functions;
  14. Evaluate logarithms in simple cases;
  15. Use the laws of logarithms to solve equations;
  16. Determine the annual percentage rate of interest given a nominal rate of interest;.
  17. Find and classify the stationary points of a function;
  18. Find the maximum and minimum points of an economic function

Disgrifiad cryno

This module covers mathematical topics including functions, the concepts and rules of differentiation, optimization of functions of one variable, and integration.

Nod

To introduce students to some of the elementary but essential mathematical concepts and skills.

Cynnwys

1. ELEMENTARY ALGEBRA. Exponents. Polynomials. Factorization. Solution of linear and quadratic equations. Solution of simultaneous equations.
2. FUNCTIONS. Notation and definitions. Graphs of functions. Inverse functions. Examples.
3. DIFFERENTIATION. The derivative of a function. The derivative of a polynomial. Marginal functions. Higher-order derivatives.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Definitions and properties. Graphs of exponential and logarithmic functions. Derivatives. Solution of logarithmic equations. Interest compounding.
5. OPTIMIZATION OF FUNCTIONS OF A SINGLE VARIABLE. Local and global maxima and minima, points of inflection. Optimization of functions.

Sgiliau Modiwl

Math o Sgiliau

Manylion Sgiliau
Cyfathrebu Written answers to exercises must be clear and well structured.
Datblygu personol a chynllunio gyrfa Completion of task (assignments) to set deadlines will aid personal development.
Datrys Problemau The assignments will give the students opportunities to show creativity in finding solutions and develop their problem solving skills.
Gwaith Tim Students will be encouraged to work together on questions during problem classes.
Gwella dysgu a pherfformiad ei hun Students are expected to develop their own approach to time-management regarding the completion of assignments on time and preparation between lectures.
Rhifedd Required throughout the course.
Sgiliau pwnc penodol Broadens exposure of students to topics in mathematics
Sgiliau ymchwil N/A
Technoleg Gwybodaeth Use of Blackboard

Nodau

Mae'r modiwl hwn yn cydymffurfio a FfCChC Lefel 3