Topic Name Description
File LECTURE NOTES WEEK 1: Continuous and Differentiable functions

The lectures notes are created using Goodnotes, and I update the notes following the lecture.  I will try to deliver the updated notes for the '3  lecture sequence' (Friday 2-3,  and Monday 2-4) every Tuesday whenever possible.

This first Tuesday, there are, of course, just two lectures.

File LECTURE NOTES WEEK 2: Differentiable functions

The lectures notes are created using Goodnotes, and I update the notes following the lecture.  I will try to deliver the updated notes for the '3  lecture sequence'  (Monday 4pm-6pm), ( Friday 2pm-3pm) at the end of every week, whenever possible.


File LECTURE NOTES WEEK 3: Taylor Series

The lectures notes are created using Goodnotes, and I update the notes following the lecture.  I will try to deliver the updated notes for the '3  lecture sequence'  (Monday 4pm-6pm), ( Friday 2pm-3pm) at the end of every week, whenever possible.


File LECTURE NOTES WEEK 4: Inverse Function Theorem

The lectures notes are created using Goodnotes, and I update the notes following the lecture.  I will try to deliver the updated notes for the '3  lecture sequence'  (Monday 4pm-6pm), ( Friday 2pm-3pm) at the end of every week, whenever possible.


File LECTURE NOTES WEEK 5: Riemann Integration

The lectures notes are created using Goodnotes, and I update the notes following the lecture.  I will try to deliver the updated notes for the '3  lecture sequence'  (Monday 4pm-6pm), ( Friday 2pm-3pm) at the end of every week, whenever possible.


File LECTURE NOTES WEEK 6: Riemann int./Uniform Continuity & Convergence

The lectures notes are created using Goodnotes, and I update the notes following the lecture.  I will try to deliver the updated notes for the '3  lecture sequence'  (Monday 4pm-6pm), ( Friday 2pm-3pm) at the end of every week, whenever possible.


File LECTURE NOTES WEEK 8:Riemann Integration: further properties
File LECTURE NOTES WEEK 9+10(a): FUND THM CALCULUS & UNIFORM CONVERGENCE
File LECTURE NOTES WEEK 10(b,c): POWER SERIES
File LECTURE NOTES WEEK 11-12: POWER SERIES(cont)
SAMPLE EXAMINATION File EXAM PAPER - NO SOLNS
File EXAM PAPER & SOLNS
REVISION SUPPORT QMplus Media Video Revision topics chat
File WK 11 EXAM Qn REVISION
QMplus Media Video WEEK 12 ViDEOS and PDFS

Thursday 11th April 

Discussion of basics on series and sequences., re. Assignment 5

Selection of examination questions. 


Friday 12th April

Continued examination questions.  AVAILABLE on Q-review?




File So you think you know all the key ideas in the module? Are you sure? Check this test?
QMplus Media Video REVISION Video A - Continuity
QMplus Media Video REVISION Video B(i) - Uniform Continuity
QMplus Media Video Video B(ii) Uniform Continuity (continued)
QMplus Media Video REVISION Video C - Riemann Integration
Week 1 File Course Worksheet 1
File Solution Sheet 1
File Assignment 1 Questions
File Assignment 1 Solutions
Week 2 File Course Worksheet 2
File Solution sheet 2
Week 3 File Course Worksheet 3
File Solution sheet 3
File Assessment 2 Questions
File Assessment 2 Solutions
Week 4 File Course Worksheet 4
File Solution sheet 4
Week 5 File Course Worksheet 5
File Solution sheet 5
File Assignment 3 questions
File Assignment 3 solutions
Week 6 File Course Worksheet 6
File Solution sheet 6
Week 8 File Course Worksheet 7
File Solution sheet 7
File Assignment 4 Questions

File Assignment 4 solutions
File Assignment 4 - solution overview
Week 9 File Course Worksheet 8

We will be covering the Fundamental Theorem of Calculus.

  • By the end of the week, start solving the problems in coursework sheet 8
  • Complete the coursework sheet 7 
  • Start preparing the fourth assignment (under the week 8 tab)

File Solution sheet 8
Week 10 File Course Worksheet 9

We will be covering sequences and series of functions.

  • By the end of the week, start solving the problems in coursework sheet 9
  • Complete the coursework sheet 8
  • Submit solutions to the fourth assignment 4 (under the week 8 tab)

File Solution sheet 9
File Assignment 5 2024 Questions
File Assignment 5 Solutions
File Assignment 5 help !

Lecture given on April 8th

Week 11 File Course Worksheet 10
File Solution sheet 10
Final Exam File MTH5105 Examination 2023

Last year's exam paper