Module Details
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title MATHEMATICS FOR PHYSICISTS I
Code PHYS107
Coordinator Dr B Cheal
Physics
Bradley.Cheal@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2019-20 Level 4 FHEQ First Semester 15

Aims

To provide a foundation for the mathematics required by physical scientists. To assist students in acquiring the skills necessary to use the mathematics developed in the module.

Learning Outcomes

(LO1) A good working knowledge of differential and integral calculus

(LO2) Familiarity with some of the elementary functions common in applied mathematics and science

(LO3) An introductory knowledge of functions of several variables

(LO4) Manipulation of complex numbers and use them to solve simple problems involving fractional powers

(LO5) An introductory knowledge of series

(LO6) A good rudimentary knowledge of simple problems involving statistics: binomial and Poisson distributions, mean, standard deviation, standard error of mean

(S1) Problem solving skills

Syllabus
 

1 Fundamentals Introduction to statistics. Binomial and Poisson distributions, mean, standard deviation, standard error on mean, chi-squared, application to experimental analysis. 2 Problem set 1 - Statistics. 3 Vectors Scalar and vector products. Simple vector equations. Applications of vectors to solving physics problems. 4 Problem set 2 - Vectors. 5 Differentiation I Basics of differentiation The product rule. 6 Problem set 3 - Differentiation I. 7 Differentiation II The chain rule. Application of differentiation to solving physical problems. 8 Problem set 4 - Differentiation II. 9 Partial Differentiation. Applications of partial differentiation to finding solutions to physics problems. 10 Problem set 5 - Partial differentiation. 11 Integration I. Basics of integration. Integration of the function of a function. Definite integrals. Volumes of rotation. 12 Problem set 6 - Integration I. 13 Integration II. Integration by substitution. Trigonometric integration. Integration by parts . Integration by partial fractions. 14 Problem set 7 - Integration II 15 Integration III. Multi-dimensional integration. 16 Problem set 8 - Integration III 17 Introduction to Series. Arithmetic Series. Geometric Series. Taylor and Maclaurin Series. 18 Problem set 9 - Series. 19 Polar coordinate systems. Spherical polar coordinates. Cylindrical polar coordinates. Using polar coordinates to find simple solutions to physical problems. 20 Problem set 10 - Polar coordinate systems. 21 Complex Numbers 22 Problem set 11 - Complex Numbers

Teaching and Learning Strategies

Teaching Method 1 - Lecture Description: Lecture Teaching Method 2 - Workshops Description: = 11 x 3 hour workshop

Teaching Schedule
  Lectures Seminars Tutorials Lab Practicals Fieldwork Placement Other TOTAL
Study Hours 33

         33

 66
Timetable (if known)              
Private Study 84
TOTAL HOURS 150

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Exam There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :1  2 hours    70       
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Problem sheet Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :1  Problem sheet comple    10       
Problem Classes Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :1  10 x 3 hours    20       

Recommended Texts
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.