Mathematics for Chemistry 1

General information

Tutorials
• Example classes
• Workshops

Slides
• Chapter 1 [ Examples solutions]

Functions of one real variable. Even and odd functions, even and odd parts of a generic function.
Polynomials (example: Hermite Polynomials). Rational functions and partial fractions.
Other common elementary functions (exp, log, sin, cos, tan,sinh,cosh,tanh). Inverse functions.
• Chapter 2 [ Important limits] [ Examples solutions] [ Handout (curve sketching)] [ Additional slides]

Calculus in one variable: limits, derivatives, Maclaurin and Taylor series, stationary points.
application to limits and function sketching.
• Chapter 3 [ Handout (inverse substitutions)] [ Additional slides]

Integration and the area under a curve. Integrals of elementary functions and linearity properties of integrals.
Key techniques of integration: integration by parts and by direct substitution.
Integration of rational functions via partial fraction decomposition.
• Chapter 4a Chapter 4b Chapter 4c Chapter 4d   [ Examples solutions]

Functions of more than one variable. Partial differentiation. Implicit partial differentiation.
Differentiating functions of functions. Quantifying small changes.
• Chapter 5

First Order Differential Equations. Separable solutions. Linear Equations.
Integrating Factor. Chemical Kinetics - 1st and 2nd Order reactions
• Chapter 6 (1)

Introduction to Probability and Statistics. Random variables. Discrete distributions, continuous distributions.
Mean, variance and standard deviation. Statistical measures from data and errors in data.
Least squares fitting to linear data.
• Chapter 6 (2)
• Chapter 6 (3)

Coursework

2018

2017

Exams

 

Page created by Ciprian Coman
Last updated: Dec 2018