# MAS110 Mathematics Core I, Autumn 2016

### Lecturer: Jayanta Manoharmayum

• This is the 2016 course web page for MAS110 Mathematics Core I.   You can find the official course information and syllabus online here or as a pdf document here.
• Module Format: There are 4 lectures, 6 Tutorials and 5 Problems Classes. General information about the format can be found here.
• Incomplete lecture notes are available further down the page. You will need to take additional notes, either as annotations on the prepared lecture notes or on a separate piece of paper. Please print a copy of the lecture notes and bring it to lectures.
• Office hour:  Just drop in to J22 Hicks, or book an appointment.
• Contact information

### Exam information

• Exam information and some solutions to past exams are on MOLE. You can find past exam papers online here.

### Tutorials

• General information.
• There will be six 50-minute sessions in small group with your personal tutor in Weeks 1,3,5,8,10,12.
• Homework will be set in Weeks 1,3,5,8,10, in one of the lectures. These are to be handed in Weeks 2,4,6,9,11 (under your tutor's office door by 4pm on Wednesday, strict deadline), and will be given back to you marked at the following tutorial, in Weeks 3,5,8,10,12.
• At each tutorial after the first, the topics for discussion will be the marked homework together with problems I set the previous week, which will not be handed in, but which you should have looked at, attempted, written something down about, and be prepared to discuss.

• Week 1 tutorial:
• Please work on the Introductory problems.

• Week 3 tutorial:
• Homework, to be handed in: Please hand in solutions to questions 5 and 9 by 4pm on Wednesday 5th October. Go up to Justify your answer.'' for Q5. For Q9, give examples to illustrate all false statements but you do not have to prove any true statement.
• Homework, not to be handed in: Please work on questions 6, 11, 13 and 14, and complete question 5 from Sets, functions and counting. You must bring in written work to show your (serious!) attempts at all of these problems.

• Week 5 tutorial:
• Homework, to be handed in: Please hand in solutions to question 10(ii) from Chapter 2 (Summation and induction) and question 5 from Chapter 3 (Trigonometry) by 4pm on Wednesday 19th October.
• Homework, not to be handed in: Please work on the following questions: Q14 from Chapter 2; Q12, Q14(i) and Q14(ii) from Chapter 3. You must bring in written work to show your (serious!) attempts at all of these problems.

• Week 8 tutorial:
• Homework, to be handed in: Please hand in solutions to question 12 from Chapter 4 (Complex Numbers) and questions 5, 6 from Chapter 5 (Limits and continuity) by 4pm on Wednesday 2nd November.
• Homework, not to be handed in: Please work on the following questions: Q8, Q10 from Chapter 5 and Q1, Q3 from Chapter 6. You must bring in written work to show your (serious!) attempts at all of these problems.

• Week 10 tutorial:
• Homework, to be handed in: Please hand in solutions to question 11 from Chapter 6 (Differentiation) and questions 3(a), 3(b) and 4 from Chapter 7 (Integration) by 4pm on Wednesday 23rd November.
• Homework, not to be handed in: Please work on questions 14 to 19 from Chapter 7. You must bring in written work to show your (serious!) attempts at all of these problems.

• Week 12 tutorial:
• Homework, to be handed in: Please hand in solutions to questions 7, 9 and 11 from Chapter 8 Sequences and series by 4pm on Wednesday 7th December.
• Homework, not to be handed in: Please work on questions 3, 7, 12, 13 and 15 from Chapter 9 Logarithms, exponentials and series expansions. You must bring in written work to show your (serious!) attempts at all of these problems.

### Problems Classes and Assessed Quizzes

• General information.
• There are five Problems Classes in Weeks 2,4,6, 9 and 11.
• Each Problems Class will have a short multiple choice quiz testing basic knowledge and understanding of material covered in the preceding two weeks.
• The quiz will be marked as a Pass or a Fail. To obtain a Pass, you will need to get at least $60\%$ of the questions correct. Each pass counts as 1 mark out of 60 towards overall assessment.

• Week 2 Problems Class and Assessed Quiz
• Go through the lecture notes and look at questions 1 to 4.

• Week 4 Problems Class and Assessed Quiz
• Go through the lecture notes and look at question 17 from Chapter 1 Sets, functions and counting, and questions 6, 12 from Chapter 2 Summation and induction.

• Week 6 Problems Class and Assessed Quiz
• Go through Chapter 3.5 and Chapter 4. Prepare questions 6, 7, 9 from Chapter 4 before the problems class.

• Week 9 Problems Class and Assessed Quiz
• Go through Chapter 6 (in particular the chain rule and L'hopital's rule) and Chapter 7 section 1. Prepare questions 9,10, 12 from Chapter 6 Differentiation and question 1 from Chapter 7 Integration before the problems class.

• Week 11 Problems Class and Assessed Quiz
• Go through Chapter 8 Sequences and series. Prepare questions 2, 4 and 6 from Chapter 8 before the problems class.