Module Information
Module Identifier
MA02610
Module Title
Foundations of Mathematics 1
Academic Year
2017/2018
Co-ordinator
Semester
Semester 1
Exclusive (Any Acad Year)
Other Staff
Course Delivery
| Delivery Type | Delivery length / details |
|---|---|
| Lecture | 22 x 1 Hour Lectures |
| Workshop | 5 x 1 Hour Workshops |
Assessment
| Assessment Type | Assessment length / details | Proportion |
|---|---|---|
| Semester Exam | 2 Hours (Written Examination) | 100% |
| Supplementary Exam | 2 Hours (Written Examination) | 100% |
Brief description
This module covers mathematical topics including functions, the concepts and rules of differentiation, optimization of functions of one variable, and integration.
Aims
To introduce students to some of the elementary but essential mathematical concepts and skills.
Content
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.
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.
Module Skills
| Skills Type | Skills details |
|---|---|
| Application of Number | Required throughout the course. |
| Communication | Written answers to exercises must be clear and well structured. |
| Improving own Learning and Performance | Students are expected to develop their own approach to time-management regarding the completion of assignments on time and preparation between lectures. |
| Information Technology | Use of Blackboard |
| Personal Development and Career planning | Completion of task (assignments) to set deadlines will aid personal development. |
| Problem solving | The assignments will give the students opportunities to show creativity in finding solutions and develop their problem solving skills. |
| Research skills | N/A |
| Subject Specific Skills | Broadens exposure of students to topics in mathematics |
| Team work | Students will be encouraged to work together on questions during problem classes. |
Notes
This module is at CQFW Level 3