Undergraduate Course: Mathematics for the Natural Sciences 1b (MATH08073)
Course Outline
School  School of Mathematics 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 8 (Year 1 Undergraduate) 
Availability  Not available to visiting students 
SCQF Credits  20 
ECTS Credits  10 
Summary  The course is a first university level course in calculus for students of Chemistry and related disciplines and follows on from MATH08072 Mathematics for the Natural Sciences 1a.
This course is restricted to students for whom it is a compulsory part of their Degree Programme. 
Course description 
This course will cover topics in a first course on calculus for students in the Natural Sciences and includes the following syllabus:
AP's, GP's, limits, power series, radius of convergence.
Basic differentiation: rate of change, simple derivatives, rules of differentiation, maxima/minima. Derivatives of powers, polynomials, rational functions, circular functions. Chain rule. Differentiation of exponential and related functions, differentiation of inverse functions, parametric and implicit differentiation, higher derivatives. Partial differentiation, directional derivatives, chain rule, total derivative, exact differentials. L'Hopital's rule. Taylor's Theorem and related results. Maclaurin series.
Basic integration: antiderivatives, definite and indefinite integrals.
Fundamental Theorem of Calculus. Substitution. Area, arclength, volume, mean values, rms values and other summation applications of integration. Integration by parts. Limits and improper integrals.
Differential equations. General and particular solutions, boundary values.
Separable differential equations. First order linear differential equations with constant coefficients.
The course will consist of 3 lectures, 1 tutorial hour and 1 workshop, each week. The workshop will be delivered by the School of Chemistry to showcase applications of the Mathematical topics covered.
Basic Mathematical skills will be developed using online quizzes and end of week eassessments. Mathematical writing skills will be tested in three written assignments. Further more applied problems will be assessed in two Chemistry based assessments.

Course Delivery Information

Academic year 2015/16, Not available to visiting students (SS1)

Quota: None 
Course Start 
Semester 2 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
200
(
Lecture Hours 33,
Seminar/Tutorial Hours 11,
Supervised Practical/Workshop/Studio Hours 5,
Summative Assessment Hours 3,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
144 )

Assessment (Further Info) 
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %

Additional Information (Assessment) 
Online assessments: 5%, Written Mathematics Assignments: 5%, Written Chemistry based Mathematics assignments: 10%
Examination: 80%. 
Feedback 
There will be five opportunities for feedback on written skills. Each lecture is accompanied by an online quiz which will provide instant feedback on basic skills. 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S2 (April/May)  Mathematics for the Natural Sciences 1b (MATH08073)  3:00  
Learning Outcomes
On completion of this course, the student will be able to:
 Students will be able to solve a variety of problems involving limits of sequences, series and functions.
 Students will be able to compute derivatives, partial derivatives, higher derivatives and integrals of a variety of functions.
 Students will be able to use calculus to compute extrema and arc length of functions, areas and volumes of surfaces of revolution, mean values and Taylor approximations of functions.
 Students will be able to solve separable first and second order ordinary differential equations with boundary or initial conditions and simple inhomogeneous terms.

Reading List
Students will be assumed to have acquired their personal copy of :
"Mathematics for Science and Engineering 1", adapted from Modern Engineering Mathematics, 4th Edition by Glyn James.
ISBN: CU.James: Modern Maths Pack 2013.
Note that this is a special edition for Edinburgh University Students.
It is only available from Blackwell's bookshop on South Bridge in Edinburgh.
It includes essential access to the online assessment and resource system. 
Additional Information
Graduate Attributes and Skills 
Students will gain key skills in calculus appropriate to degrees in the Natural Sciences. 
Special Arrangements 
Only available to students who are also taking CHEM08017 Chemistry 1B 
Keywords  MNS1b,Sequences,series,power series,differentiation,integration,differential equations,differ 
Contacts
Course organiser  Dr Nikola Popovic
Tel: (0131 6)51 5731
Email: Nikola.Popovic@ed.ac.uk 
Course secretary  Ms Nicole Luu
Tel: (0131 6)50 5059
Email: Nicole.Luu@ed.ac.uk 

