# Engineering Maths 1a and 1b

MATHEMATICS 1a

SMS Code EE405001 Level 4 Credits 9 Total Hours 90 Contact Hours 60 Work Experience Hours Nil Self Directed Hours 30 NQF Units/Other Components contained are:

Aims
To provide students with the ability to demonstrate mathematical skills, concepts and understandings in calculus. Develop these skills concepts and understandings in order to solve problems, with emphasis on mathematical integration.

Learning Outcomes At the successful completion of this course, students will be able to: • Differentiate and calculate derivatives • Apply differentiation to solve problems • Integrate and calculate definite and indefinite integrals • Solve problems using integration • Formulate, solve and use differential equations

Content Differentiation, powers of x, log and exponential functions, composite functions, sums, products and quotients, implicit relations, parametric functions, second derivatives, optimisation techniques, time dependent variables, integration techniques, integration applications, Simpson’s rule, growth rates, linear motion, simple harmonic motion.

Learning/Teaching Methods Lecturers will use a range of teaching and learning methods with a strong focus on activities. See section 5.8.2 for further details.

Assessment Assessment is the general term used for activities, which provide feedback on Student performance and is the measure by which a student’s performance is determined. The types of assessment used in papers are: • Assignments 30% • Tests(s) 20% • Examination 50%

Attendance Requirements 90%

Completion requirements To complete this course, students must meet the attendance requirement and all of the tests, examinations and laboratories throughout the year.

Literature References for Curriculum Development (1989). Basic Technical Mathematics with Calculus (2nd Ed.). Peter Kuhfittig Books.

Student Reading List

MATHEMATICS 1b

SMS Code EE406001 Level 4 Credits 9 Total Hours 90 Contact Hours 60 Work Experience Hours Nil Self Directed Hours 30 NQF Units/Other Components contained are:

Aims
To provide students with the ability to demonstrate mathematical skills, concepts and understandings in number, measurement, trigonometry, algebra; and develop these skills, concepts and understandings in order to solve problems.

Learning Outcomes At the successful completion of this course, students will be able to: • Review of basic algebraic skills. • Review the notation and terminology of functions exploring practical electrical and mechanical applications. • Demonstrate a knowledge of techniques of trigonometry using both degree and radian measures. • Sketch simple combinations of functions. • Use the Binomial Theorem. • Use complex numbers. • Apply appropriate techniques to solve equations. • Derive an appropriate function to fit a given data set. • Apply correlation and simple regression techniques to data, making interpretations and predictions based on these calculations.

Content Basic algebra, terminology, graphing basic functions, polynomial functions, simple conics, exponential functions rational function, log functions, growth and decay rates, trigonometric identities, simultaneous equations, quadratic equations, logarithmic equations, fitting functions to data, complete numbers, regression techniques.

Learning/Teaching Methods Lecturers will use a range of teaching and learning methods with a strong focus on activities. See section 5.8.2 for further details.

Assessment Assessment is the general term used for activities, which provide feedback on Student performance and is the measure by which a student’s performance is determined. The types of assessment used in papers are: • Assignments (2) 20% • Tests (2) 30% • Examination 50%

Attendance Requirements 90%

Completion requirements To complete this course students' must meet the attendance requirement and achieve a passing grade for the course.

Literature References for Curriculum Development Student Reading List Bird, J. (2001). Engineering Mathematics. (3rd Ed.). Necones-Butterworth-Heineman: