Undergraduate Study

MATH1903 Integral Calculus and Modelling (Advanced)

General Information

MATH1903 is a Junior (or first-year) unit forming part of the Advanced Mathematics stream.

  • Credit point value: 3CP.
  • Classes per week: Two lectures and one tutorial.
  • Lecturer(s) in 2017: Daniel Daners, David Easdown .
  • Email contact address:
    Students: please check if your question can be answered by referring to the FAQ page before emailing us. If you decide to email us please include your name and SID.

Students have the right to appeal any academic decision made by the School or Faculty. For further information, see the Science Faculty web site.

You may also view the description of MATH1903 in the University's course search database.

Information sheet for MATH1903

All students should read the information sheet. The information includes (for example) details of the assessment procedure, including dates of assessment tasks.

Answers to frequently asked questions

See the main junior mathematics page for information relating to all junior mathematics units, and see in particular the Junior Maths FAQ page.

Online Resources

Consultation times for MATH1903

Your lecturers should normally be available for consultation at the following times:

  • Thursdays 13:00-14:00, Carslaw 619, David Easdown (Weeks 1-6 and Week 13)
  • Thursdays 13:00-14:00, Carslaw 715, Daniel Daners (Weeks 7-13)

Class representatives

Aleesha Caldwell, James Hansen, Georgia Hurst, Yeming Wang and Zhau Zheng have volunteered to be your class representatives. They will shortly meet with the Head of School. We would like to know what you like about the unit and where things can be improved. If you have any issues you would like discussed, please email your representatives and let them know your views.

Final Exam

For the date, time and location of the final exam please consult SydneyStudent. You can look at the exam cover sheet as well as the formula sheet.

We offer pre-exam consultation at the following times:

  • Tuesday 7 November 1-3 pm, Carslaw 715, Daniel Daners
  • Thursday 9 November 3-5 pm, Carslaw 619, David Easdown

You can look at the extended answer sections of the exams from 2010 (solutions), 2011 (solutions), 2012 (solutions), 2013 (solutions), 2014 (solutions), 2015 (solutions) and 2016 (solutions).

Second Quiz

The Second Quiz will be held during tutorials Week 11 (Tuesday 17 October for MATH1903 and Thursday 19 October for MATH1907). The material covered is the differential equations part up to and including Week 9 as well as the tutorial in Week 10. To solve the problems you will need to know relevant material from the first half as well.

To gain full or close to full marks for a particular answer, correct and intelligible working or reasoning needed to be included if relevant.

There is a sample quiz with solutions. The idea of the sample quiz is not to provide a lot of practice, but to get a feel for the style and level of difficulty. Use the lecture notes, tutorials and recommended textbooks for study and more practice questions.


The Second Assignment should have been completed, scanned and uploaded using Turnitin through Blackboard by 5 pm on Thursday 5 October.

Here are solutions to the second assignment.

The First Assignment should have been completed, scanned and uploaded using Turnitin through Blackboard y 5 pm on Thursday 17 August.

Click here to see the Solutions to the first assignment.

First Quiz

The First Quiz was held in tutorials in Week 6, lasted forty minutes and examined material related to Exercises for Weeks 2, 3 and 4 only.

There were ten questions of equal value for a total of 30 marks. The answer to each question received a grade of 3, 2, 1 or 0 marks, according to the quality of the answer (3 for excellent, 2 for very good, 1 for some reasonable attempt or progress, and 0 for no merit).

There was a mixture of questions involving calculations and some short proofs. To gain full or close to full marks for a particular answer, correct and intelligible working or reasoning needed to be included.

Here are some Practice Questions, similar in style to questions that appeared on the actual quiz, and Solutions.

Notes for the first six weeks

The following notes may be printed and should be useful to bring to lectures:

Click below for scans of (rough) notes by David Easdown for the first six weeks and the last lecture in Week 13. These should become available shortly after the dates listed.

Exercise Sheets and Solutions

Exercise sheets may be viewed and downloaded from the following links. These form the basis for preparatory work and subsequent activities in tutorials on the days indicated. Short solutions are included. Longer solutions should be made available later in the week or early the following week.

Resources for Weeks 7-13

All resources for the second half of the unit appear in the table below.

Tutorials (PDF) Assessments due Lectures/Material covered
Week 7 See resources for first half   Lectures Week 7
Week 8 Tutorial 7 / Solutions   Lectures Week 8
  Semester break
Week 9 Tutorial 8 / Solutions Assignment 2 Lectures Week 9
Week 10 Tutorial 9 / Solutions   Lectures Week 10
Week 11 Tutorial 10 / Solutions Quiz 2 (in tutorials)/Solutions to Assignment 2 Lectures Week 11
Week 12 Tutorial 11 / Solutions   Lectures Week 12
Week 13 Tutorial 12 / Solutions   Lectures Week 13
Check your marks

MATH1903 students: please check that your marks for Assignment 1, Quiz 1, Assignment 2 and Quiz 2 have been recorded correctly by pressing the "Check marks" button.

Please note that any corrections to Assignment 1 marks must be made by Friday, Sep 22.
Please note that any corrections to Quiz 1 marks must be made by Friday, Oct 13.
Please note that any corrections to Assignment 2 marks must be made by Friday, Oct 27.
Please note that any corrections to Quiz 2 marks must be made by Friday, Nov 10.

The teaching material appearing on this web site is intended for the use of enrolled students of the University of Sydney, and (unless otherwise specified) the University of Sydney holds copyright. Any other person or institution wishing to use any of this material must contact the university to make appropriate arrangements.

Useful Links



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