Undergraduate Programme and Module Handbook 2024-2025
Module MATH1061: Calculus I
Department: Mathematical Sciences
MATH1061:
Calculus I
| Type |
Open |
Level |
1 |
Credits |
20 |
Availability |
Available in 2024/2025 |
Module Cap |
None. |
Location |
Durham
|
Prerequisites
- Normally, A level Mathematics at grade A or better and AS
level Further Mathematics at grade A or better, or
equivalent.
Corequisites
- Linear Algebra I (MATH1071)
Excluded Combination of Modules
- Calculus I (Maths Hons) (MATH1081), Linear Algebra I (Maths Hons) (MATH1091), Mathematics for Engineers and Scientists (MATH1551), Single
Mathematics A (MATH1561), Single Mathematics B (MATH1571) may not be taken with or after this
module.
Aims
- This module is designed to follow on from, and reinforce, A level
mathematics.
- It will present students with a wide range of mathematics ideas in
preparation for more demanding material later.
- Aim: to introduce crucial basic concepts and important mathematical
techniques.
Content
- A range of topics are treated each at an elementary level
to give a foundation of basic definitions, theorems and computational
techniques.
- A rigorous approach is expected.
- Elementary functions of a real variable.
- Limits, continuity, differentiation and
integration.
- Ordinary Differential Equations.
- Taylor series and Fourier series.
- Calculus of functions of many variables
- Partial differential equations and method of separation of variables
- Fourier transforms
Learning Outcomes
- By the end of the module students will: be able to solve a range of predictable or less predictable problems in Calculus,
- have an awareness of the basic concepts of theoretical mathematics in Calculus,
- have a broad knowledge, and a basic understanding and working knowledge of each of the
subtopics,
- have gained confidence in approaching and applying calculus to novel problems.
- Students will have enhanced skills in the following areas: modelling, spatial awareness, abstract reasoning and numeracy.
Modes of Teaching, Learning and Assessment and how these contribute to
the learning outcomes of the module
- Lectures demonstrate what is required to be learned and the
application of the theory to practical examples.
- Tutorials provide active engagement and feedback to the
learning process.
- Weekly homework problems provide formative assessment to guide
students in the development of their knowledge and skills. They
also aid the development of students' awareness of the required standards
of rigour.
- Initial diagnostic testing and associated supplementary
support classes fill in gaps related to the wide variety of syllabuses
available at Mathematics A-level, and provide extra support to the course.
- The examination provides a final assessment of the achievement
of the student.
Teaching Methods and Learning Hours
| Activity |
Number |
Frequency |
Duration |
Total/Hours |
|
| Lectures |
58 |
3 per week in terms 1, 2 or 3 per week in term 2 (alternating fortnightly with Problems Classes), 2 revision lectures in term 3. |
1 Hour |
58 |
|
| Tutorials |
9 |
Weeks 3, 5, 7, 9 (Term 1) and 13, 15, 17, 19 (Term 2), plus 1 revision tutorial in Easter term. |
1 Hour |
9 |
■ |
| Problems Classes |
4 |
Fortnightly in weeks 14-20 |
1 Hour |
4 |
|
| Support classes |
18 |
Weekly in weeks 2-10 and 12-20 |
1 Hour |
18 |
|
| Preparation and Reading |
|
|
|
111 |
|
| Total |
|
|
|
200 |
|
Summative Assessment
| Component: Examination |
Component Weighting: 90% |
| Element |
Length / duration |
Element Weighting |
Resit Opportunity |
| Written Examination |
3 hours |
100% |
Yes |
| Component: Continuous Assessment |
Component Weighting: 10% |
| Element |
Length / duration |
Element Weighting |
Resit Opportunity |
| Fortnightly electronic assessments during the first 2 terms. Normally, each will consist of solving problems. Students will have about one week to complete each assignment. |
|
100% |
|
40 minute collection paper at the beginning of Epiphany term. Fortnightly formative assessment.
■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University
