# Course 123 - Mathematical Methods course for JF Natural Sciences.

Lecturer:

Date: 1996-97

Groups: JF Natural Sciences, JF Pharmacy

Prerequisites: None

Duration: 24 weeks

Lectures per week: 2 + 1 examples class

Assessment: See below

Examinations: Yes

### Michaelmas term

Basic mathematics, sequences and series, polynomials, functions, limits, differentiation.

### Hilary Term

Applications of differentiation (maxima and minima, linear approximation, Newton's method), indefinite and definite integrals, logarithmic and exponential functions, applications of integration to areas, volumes, arc lengths.

### Trinity Term

Differential equations (first order, linear with constant coefficients, systems of first order equations), numerical methods, matrices and determinants, curve fitting.

Assessment:

Grading:

1. Pharmacists will attend only the Hilary and Trinity terms of this course and will be examined only on the material covered during these terms. There will be a multiple-choice examination at the end of each of the aforementioned terms. Each of these exams will count 10% of your final mark for these two terms. The final examination will count 80% of your final mark for these two terms.

During Michaelmas term you will attend a course on statistics. This will count 40% of your final mark in Course 123. Here, then, is how your grade is computed:

Michaelmas Exam 10%
Trinity Exam 10%
Final Exam 80%

Let A = final grade you receive on these exams.
Let B = final grade you receive on your statistics course.

Then your final mark for Course 123 is A x 60% + B x 40%

2. Science students will attend all three terms of this course. There will be a multiple-choice examination at the end of each term. Each of these three exams will count 10% of your final mark.

There will be a computer project during Hilary term that will count 10% of your final mark. So this is how your final mark for Course 123 is calculated:

Michaelmas exam 10%
Hilary exam 10%
Trinity exam 10%
Computer project 10%
Final exam 60%