Undergraduate Course: Mathematical Methods 1 (Foundation) (MATH08030)
Course Outline
School  School of Mathematics 
College  College of Science and Engineering 
Course type  Standard 
Availability  Available to all students 
Credit level (Normal year taken)  SCQF Level 8 (Year 1 Undergraduate) 
Credits  10 
Home subject area  Mathematics 
Other subject area  Other NonSpecialist courses (School of Maths) 
Course website 
https://info.maths.ed.ac.uk/teaching.html 
Taught in Gaelic?  No 
Course description  *In 201112, this course is available only to students retaking it and will be assessed on an 'exam only' basis.*
Functions, graphs, periodicity, special functions. Basic differentiation: rate of change, simple derivatives, rules of differentiation, maxima/minima. Basic integration: antiderivatives, definite and indefinite integrals. Calculus of exponential, logarithm and trigonometric functions. Rearrangement (trigonometric identities, partial fractions), substitution. Area, arclength, volume, mean values, rms values and other summation applications of integration. 
Information for Visiting Students
Prerequisites  None 
Displayed in Visiting Students Prospectus?  No 
Course Delivery Information

Delivery period: 2011/12 Semester 2, Available to all students (SV1)

WebCT enabled: No 
Quota: 3 
Location 
Activity 
Description 
Weeks 
Monday 
Tuesday 
Wednesday 
Thursday 
Friday 
No Classes have been defined for this Course 
First Class 
First class information not currently available 
Additional information 
Alternate Th 
Exam Information 
Exam Diet 
Paper Name 
Hours:Minutes 


Main Exam Diet S1 (December)   1:30    Resit Exam Diet (August)   1:30   
Summary of Intended Learning Outcomes
Functions
1. Understanding concept of functions, including piecewise ones
2. Ability to graph functions, using appropriate calculus techniques
3.Understanding periodicity, evenness and oddness and using it to solve computational and graphical problems
4. Ability to graph f(ax+b), given the graph of f(x)
5. Ability to evaluate and graph piecewise functions
Differentiation
1. Understanding and application of derivative as a rate of change; understanding its graphical interpretation
2. Ability to differentiate polynomials in standard form and all powers of x, including higher derivatives
3. Ability to use the product, quotient and chain rules
4. Ability to use differentiation to solve optimisation problems
Integration
1. Ability to evaluate an integral by antidifferentiation
2. Understanding an integral as a sum
3. Ability to integrate polynomials in standard form and all powers of x
4. Ability to use simple rearrangements (trigonometric and partial fractions) and simple substitution
5. Ability to construct integrals using the summation definition, with applications
Trigonometric functions
1. Ability to evaluate all six ratios from given information
2. Ability to use addition formulae and multiple angleformulae, including their reversals
3. Ability to calculate amplitude, period and phase for sinusoidal functions
4. Ability to differentiate and integrate sin, cos, tan
5. Ability to integrate squares and products of sin and cos
Logarithms and Exponentials
1. Understanding the definition of a log as the inverse of exponentiation and ability to solve simple problems using this
2. Ability to manipulate exponential functions
3. Ability to use the log rules
4. Ability to differentiate ln x
5. Ability to integrate 1/(ax+b) and f'/f; ability to differentiate and integrate ekx
6. Ability to use loglinear and loglog graphs, including understanding of exponential processes

Assessment Information
Coursework: 15%
Degree Examination: 85% 
Special Arrangements
None 
Additional Information
Academic description 
Not entered 
Syllabus 
Not entered 
Transferable skills 
Not entered 
Reading list 
Not entered 
Study Abroad 
Not entered 
Study Pattern 
Not entered 
Keywords  mf1 
Contacts
Course organiser  Dr Lois Rollings
Tel: (0131 6)50 5052
Email: L.Rollings@ed.ac.uk 
Course secretary  Mrs Karen Downie
Tel: (0131 6)50 5793
Email: K.Downie@ed.ac.uk 

