Mathematics for Informatics 2 (U01673)

? Credit Points : 20 ? SCQF Level : 8 ? Acronym : MAT-1-mi2

Growth rates, trigonometric functions, miscellaneous calculus, complex numbers; graph theory, recurrences, plane geometry, matrices, determinants.

Entry Requirements

? Pre-requisites : Prior attendance at MAT-1-mi1

? Prohibited combinations : MAT-1-am2, MAT-1-mm2, MAT-1-GCo, MAT-1-GTh, MAT-2-am2A, MAT-2-mm2A

Subject Areas

Home subject area

Mathematics for Informatics, (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 1st year

? Delivery Period : Semester 2 (Blocks 3-4)

? Contact Teaching Time : 5 hour(s) per week for 11 weeks

All of the following classes

Type	Day	Start	End	Area
Lecture	Monday	12:10	13:00	Central
Lecture	Tuesday	12:10	13:00	Central
Lecture	Wednesday	12:10	13:00	Central
Lecture	Thursday	12:10	13:00	Central

? Additional Class Information : Tutorials: F at 1110 and 1210

Summary of Intended Learning Outcomes

(Calculus)
1. Derive properties of growth rates and use appropriate notation for basic functions (powers of a variable, logarithms and exponentials).
2. Discuss properties of trigonometric functions (e.g., differentiation and integration) and use them to derive identities.
3. Describe complex numbers and them to simple problems.
4. Find the power series expansion of a given function.
5. Solve simple differential equations.
6. Discuss and apply the basic notions of partial differentiation.

(Algebra)
1. Discuss basic properties of graphs and use the ideas to derive new related properties or algorithms.
2. Solve simple recurrences in terms of growth rates and relate them to algorithms.
3. Discuss and derive basic geometric properties (e.g., of lines) in two and three dimensions.
4. Discuss basic properties of small matrices and relate them to geometry as well as apply relevant algorithms (e.g., Gaussian elimination).