CHEM1001: Quantitative Chemistry
Course Organizer: Dr Katherine B Holt
Lecturers: Dr Simon. T.
Banks , Prof Nik Kaltsoyannis, Professor Sally L Price, Dr David M Rowley, Dr Andrew
S Wills, Dr M Zwijnenburg.
Normal prerequisite: GCSE Maths
Course evaluation: 2011/12 (pdf)
Moodle page: http://moodle.ucl.ac.uk/course/view.php?id=3499
The aim of this course is to provide those students who have not studied 'A' level Mathematics with the basic mathematical skills required for a degree in Chemistry.
By the end of the course, students will be able to
- Manipulate units
- Perform error analysis
- Manipulate simple algebraic expressions
- Sketch simple functions
- Use geometric progressions and series
- Perform differentiation and integration of functions with one variable
- Perform statistical analysis of data
- Use the Excel spreadsheet package
- Perform partial differentiation and integrate functions with more than one variable
- Solve simple differential equations
- Understand complex numbers
- Manipulate matrices
- Lectures: 63
- Tutorials: 0
- Labs: 0
- Exam: 50% (5 X 1 hours)
- Lab: 0%
- Coursework: 50%
Practical course organizer:
- "Foundations of Science Mathematics" by D S Sivia and S G Rawlings, Oxford Chemistry Primers Series (no 77), Oxford University Press.
- "Maths for Chemists" Vol I and II, MCR Cockett and G Doggett, Royal Society of Chemistry, 2004
- "Maths for Chemistry" by Paul Monk, Oxford University Press, 2006
- "Foundations of Science Mathematics: worked problems" by D S Sivia and S G Rawlings, Oxford Chemistry Primers Series (no 82), Oxford University Press.
This is a core 1st year Chemistry course for students who do not have an 'A' level in Mathematics.
Assessment on this course will be made on the basis of coursework (50%) and written examinations (50 minutes each) at the end of each module (50%). There is no final examination for this course.
Module 1: Quantitative Chemistry (DMR)
This module is taken by all students studying Chemistry and forms part of 1004. There is no examination in this module. Measurements and their units; manipulating and converting units; dimensional analysis; error analysis; absolute and relative errors; error propagation.
Module 2: Fundamentals of algebra (ASW)
Equations; functions; powers; rearranging equations; factorising; solving simultaneous equations; quadratic equations; sketching functions; logarithms and exponentials; trigonometric functions; series and progressions.
Module 3: Calculus of functions with one variable (SLP)
Differentiation; simple rules for differentiation; differentiating special functions (e.g. exp, ln, sin, cos); product rule; quotient rule; functions of functions; second derivatives; integration; evaluating integrals; properties of integrals; integration by substitution; integrating by parts; solving differential equations by separation of variables.
Module 4: Statistics and data analysis (STB)
Students will use the Excel spreadsheet package to perform statistical analysis of data in this module. Mean; deviation from the mean; symmetry of data; probability distributions; permutations and combinations; Gaussian distribution; analysis of more than one variable; regression analysis; error propagation (including logs and exponentials).
Module 5: Complex numbers and matrices (MZ)
Complex numbers; spherical and polar coordinates; modulus; complex conjugates; determinants; matrices; matrix multiplication; inverse of a matrix; eigen-values.
Module 6: Advanced calculus (NK)
Revision of differentiation; Taylor series; partial derivatives; revision of integration; integration of functions with more than one variable; differential equations; vectors; dot and cross products.