Mathematics for Chemistry 1

General information

Tutorials

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

CW 1 [ Solutions] [Feedback]
CW 2 [ Solutions] [Feedback]

2017

CW 1 [ Solutions] [Feedback] [Stats]
CW 2 [ Solutions] [Feedback] [Stats]

Exams

[2019] [2018]

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Last updated: Dec 2018