Welcome to theDepartment of Mathematics

BSc Financial Mathematics and StatisticsBSc Mathematics and EconomicsBSc Mathematics with Economics

Dr Peter AllenDepartmental Tutor

(1st years)

Mathematics

Welcome - Part 2

Course ChoicesFirst-Year Seminar SeriesLSE LifeSSLCRules for SuccessSupport and FacilitiesQuiz

Mathematics

Reminder — Course Choices

Have you entered the following courses using LSE for You?

Economics A/B (EC100/EC102)Mathematical Methods (MA100)Elementary Statistical Theory (ST102)Introduction to Abstract Mathematics (MA103)

Mathematics

PhishingAttackers are after your account

Phishing attacks induce you to give your account details to the attackerUsually by following a link and inputting your account detailssomewhere they shouldn’t go124 accounts compromised in 2014, rising to 520+ in 2018 — don’t beone of them!

Carefully judge the emails that you getThe more alarming they sound, the more careful you need to beWhat’s the site the link went to? Check the address bar of your browser

Report anything you’re not sure about to us, Imt.infosec@lse.ac.uk.For unsolicited marketing emails, right click the email in Office 365and mark it as ‘Junk’Take the Information Security Awareness training course (you canself-enrol via https://moodle.lse.ac.uk/course/view.php?id=6416).It’ll help you:

Spot scams and phishingSecure your devicesTreat data properly

Mathematics

First-Year Seminar Series (MA160P)(Personal and Professional Development)

Run by Dr Ioannis KouletsisWeeks 3, 5, 7 and 9 of each term, Tuesdays 11.00—12.00LSE LIFE, Workspace 4, inside LSE LibrarySpend time more socially with your fellow students, class teachers,lecturers, and academic staff from the Mathematics Department

Aims:

Highlight resources availablearound the School

Help and support with transitionfrom school to university

To provide personal andprofessional developmentopportunities

Includes:

Quizzes with prizes

Talks by academics

Study skills, personal andprofessional developmentsessions

Event involving alumni,recruiters and careerconsultants

LSE LIFE

Find us on the Ground Floor, Library

Monday—Friday, 10am — 6pm

lse.ac.uk/lselife

University is full of questions

LSE LIFE can help you find your answers to these questions. It’s a placefor all undergraduate and taught master’s students to go for support andideas about how to succeed in your studies. You can:

Talk to one of the LSE LIFE team about your work

Study together with friends

Broaden your skills by attending LSE LIFE events such as careerfairs, research conferences etc.

Mathematics

Staff-Student Liaison Committee (SSLC)

Your Department needs you!

Mathematics

Rules for Success

Mathematics

The Golden Rules

Go to lectures!Think in lectures!Go to classes!Prepare for classes!Attempt the homework!

Net effect: you will pass.Otherwise, you will fail.

Mathematics

Studying at University

Courses:More advanced (obviously!)Fast paced

You:IndependentSelf motivatedIn charge of your learning

New type of Maths (‘Real’ Maths) in MA103Understanding mathematical objects, concepts and connectionsUsing precise definitions, reasoning, arguments, and PROOFS

Make sure that you do not get lost in your social lifeHaving a social life is a good thing! But:Refrain from taking heavy admin dutiesKeep an eye on time spent on socialising (especially at the beginning)

Mathematics

Mr Micawber’s recipe for happiness

Annual income twenty pounds;Annual expenditure nineteen pounds, nineteen shillings and sixpence

— .... result happiness.

Annual income twenty pounds;Annual expenditure twenty pounds, aught and sixpence

— .... result misery.

(Charles Dickens)

Mathematics

Mathematics’ recipe for happiness

Twenty lectures attended;Twenty classes attended, homeworks attempted = exam passed

— .... result happiness.

Twenty lectures skipped;Twenty classes ignored, homeworks copied = exam failed

— .... result misery.

Mathematics

Support and Facilities

Mathematics

Office Hours

Both your lecturers and class teachers have office hours.

You can attend either, whenever you want.You can ask for help with homework.You can ask for help understanding the course.You can ask what the material can be used for.And so on...

This is the most valuable support you can access — make good use of it!

Mathematics

Maths Support CentreTeachers available from the Department of Mathematics to help withqueriesNo appointment necessaryOpen: Michaelmas Term weeks 1—11,Open: Lent Term weeks 1—11, andOpen: Summer Term week 1 until the last supported exam.

Courses SupportedMA100 Mathematical Methods

MA103 Intro to Abstract Mathematics

MA107 Quantitative Methods

MA110 Basic Quantitative Methods

MA203 Real Analysis*

MA207 Further Quantitative Methods

MA212 Further Mathematical Methods*

* MA203 & MA212 only on Wed/Thu/Fri

Venue and opening timesMon 2pm—4pm COL 2.01Tue 2pm—4pm COL 2.01Wed 2pm—4pm LSE LIFEThu 2pm—4pm COL 2.01Fri 2pm—4pm LSE LIFE

Mathematics

Departmental Study Room

COL 2.01, Columbia House, 2nd floor.

Can be used to study

Available at any time during the week (even when the Maths SupportCentre is taking place)

PCs available

Please exercise common courtesy by keeping noise to a minimumand keeping the room tidy.

Opening hours: 9am — 6pm every weekday.

Free pizza here next week!

Mathematics

Dr Sally Barton

Mathematics Study Adviser

Here to help first year undergraduates with

Transition issues

Getting to grips with abstract maths

And other academic insecurities

www.lse.ac.uk/Mathematics/current-Students/Mathematics-study-adviser

Mathematics

A magic trick(1) Choose two numbers between 1 and 50.(2) Add them to get a third number.(3) Throw away the smallest number.Repeat (2)–(3) 15 times.Tell me the last number.e.g.1 and 51 + 5 = 65 and 6; 5 + 6 = 116 and 11; 6 + 11 = 17. . .1; 5; 6; 11; 17; 28; 45; 73; 118; 191; 309; 500; 809; 1309; 2118; 3427; 5545You tell me 5545.

How does that work?

Mathematics

A chocolate giveawayColour each integer red, blue, or not at all. No double colouring!

9461987 7870334 5711289 4189842 2754186

599795 4898524 1490045 4791945 8035282

683310 8080143 6195470 6373814 4449634

8545032 8294679 9220457 6028386 5322739

8544031 9381134 7952188 3394206 8540397

4447914 1738483 7456512 1197930 1964247

Goal: the red numbers add up to the same as the blue numbers.

The first five different solutions win chocolate! (Deadline: Week 5 MT)

Mathematics

Quiz!

On each slide, only one answer is correct among the choices

... which? Go to personal.lse.ac.uk/allenpd/quiz.html

(1) Press the right answer, or ‘I don’t know’.(2) Hold the screen up facing me.(3) Press ‘Done showing’, I’ll discuss the answer, then ‘Next question’.(4) Repeat

You get5 points if right0 points for ‘I don’t know’-2 points if wrong

Mathematics Question 0Do you understand the rules?

What is the remainder?

(A) No(B) Yes(C) I don’t have a mobile phone(D) I’m too hungover to play

Mathematics Question 1Divide 1 + x + x2 + x3 + · · ·+ x100 by x − 2.

What is the remainder?

(A) 2101 − 1(B) 0(C) x + 1(D) Cannot be determined from the given data.

Mathematics Question 2What is n if 1252 − 752 = 10n?

Remember a2 − b2 = (a− b)(a + b)

(A) 3(B) 0(C) 4(D) Not possible to solve.

Mathematics Question 3What is sin π

4 cosπ4?

a

(A) 0(B) 1

2(C) tan π

4(D) None of the above.

Mathematics Question 4What is lim

m→∞sinm

m ?

a

(A) 1(B) 0(C) −1(D) Infinity.

Mathematics Question 5

What is the derivative of 1 + x + x2

2! +x3

3! + · · ·+xn

n!?

(The notation n! means 1× 2× 3× · · · × n)

(A) ex

(B) n(1 + x)n−1

(C) 1 + x + x2

2! +x3

3! + · · ·+xn−1

(n−1)!

(D) The derivative does not exist.

Mathematics Question 6The line L is tangent to the graph of f at (2, 2).

What is f ′(2)?

x

f (x)

L

f

(A) 1(B) 1

2(C) x − 2(D) Impossible to determine, not enough information is given.

Mathematics Question 7

What is∫ 1

2

−12

(sin x

)1000001dx?

What is f ′(2)?

(A) 0(B) An irrational number(C) 2

1000002

(cos 1

2

)1000002

(D) Infinity

Mathematics Question 8If log2 x + logx 2 = 2, what is x?

What is f ′(2)?

(A) 1(B) e(C) 2(D) None of the above.

Mathematics Question 9Which of the following is true about

the set of points (x , y) such that x2 + y2 ≤ 1?

(A) It does not contain the point(

1√2, 1√

2

).

(B) It includes the points lying inside the circle with centre(0, 0) and radius 1.

(C) Its intersection with the set{(x , y) : x > 0 and y > 0

}is

the empty set.(D) None of the above.

Mathematics Question 10What is the number of real solutions

of the equation x = cos x?

(A) 2(B) 1(C) 0(D) Infinite.

Mathematics Question 11Which of the following is true about

the number 92019 + 112019?

(A) It is an odd integer.(B) It is divisible by 10.(C) It is a prime number.(D) It has 2019 digits.

Mathematics Question 12What is the greatest possible distance between points A and B,

if A lies on the circle with centre (0, 0) and radius 1,

and B lies on the circle with centre (1, 1) and radius 12?

(A) 52

(B) 32 +√

2

(C)√

3

(D) 3

Mathematics

Next week: Pizza in COL 2.01

• Maths and Economics: Monday 2—3• Financial Maths & Statistics: Thursday 11—12• Maths with Economics: Friday 12—1

after a Maths lecture — the lecturer will remind you.