Module Catalogues, Xi'an Jiaotong-Liverpool University   
 
Module Code: MTH002
Module Title: Multivariable Calculus and Statistics
Module Level: Level 0
Module Credits: 5.00
Academic Year: 2019/20
Semester: SEM2
Originating Department: Mathematical Sciences
Pre-requisites: MTH013ORMTH019ORMTH023ORMTH025ORMTH027ORMTH021
   
Aims
To give students an elementary of multivariable Calculus and statistics;


To introduce the concept of modeling and various mathematical models in practical problems;


To develop students' ability to work independently and to acquire the skill of problem solving;


To improve students’ ability to learn academic contents using English.



Learning outcomes 
A. have an initial understanding of the basic concepts which are the subject of this module;

B. have a good appreciation of the link between mathematics and other subjects;

C. be able to understand the mathematical models for simple practical problems.

D. describe statistical data;

E. use the Binomial, Poisson and Normal distributions;

F. understand the basic principle of inferential statistics.

G. be able to utilize the new technology such as computer programs and online resources to perform self-study.

Method of teaching and learning 
Students will be expected to attend about five hours of formal lectures and supervised problem classes/tutorials in a typical week.


Lectures and tutorials will introduce students to the academic content and practical skills which are the subject of the module, while problem classes and tutorials will allow students to practice those skills.

In addition to contact hours, students will be expected to devote sufficient unsupervised time to private study.


Private study will provide time for reflection and consideration of lecture material and background reading. Continuous assessment including home assignment marking will be used to test to what extent practical skills have been learnt. On-line homework system will be used to help students to perform self-study and increase the scope of applications. A mini research project on statistical topics will be designed to train students’ practical application ability.


Written examinations in the middle and at the end of the module constitute the major part of assessment of the academic achievement.


In order to facilitate the smooth transition to the English delivery of all modules from year 2, this module will be delivered in English.


Syllabus 
Part 1 Multivariable calculus


1.Functions of several variables


2.The partial derivatives


3.Maxima and minima


4.Lagrange’s multipliers


5.total differential and applications


6.Double integrals



Part 2 Statistics


1. Introduction and description of data


2. Examples of what ‘Statistics’ as a discipline is about, populations and samples, graphical summaries, shape, location and spread of data.


3. Elements of Probability Theory


4. Intuitive meaning of probability, events, compound events, conditional probability and Bayes’ rule, networks of unreliable components.


5. Probability Distributions


6. Discrete and continuous random variables: the probability mass function, the probability density function and distribution function. Expectation and Variance.


7. The Binomial and Poisson distributions.


8. The Normal Distribution and Approximations.


9. The principles of hypothesis testing,


10. central limit theorem,


11. Normal confidence intervals.


12. Correlation and regression.

Delivery Hours  
Lectures Seminars Tutorials Lab/Prcaticals Fieldwork / Placement Other(Private study) Total
Hours/Semester 56     9      85  150 

Assessment

Sequence Method % of Final Mark
1 Written Examination 65.00
2 Mid-Term Test 15.00
3 Course Work Quizzes And Online Homework And Projects 15.00
4 Project 5.00

Module Catalogue generated from SITS CUT-OFF: 8/24/2019 3:33:20 PM