2023/24 Undergraduate Module Catalogue
LLLC0204 Introduction to Calculus
10 creditsClass Size: 120
Module manager: Gary Dickinson
Email: g.dickinson@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2023/24
Pre-requisites
| LLLC0197 | Introduction to Mathematics |
Module replaces
LLLC0188 LLLC0189 LLLC0190This module is not approved as a discovery module
Module summary
The module will introduce students to the essential calculus concepts required for success on their progression degree. Calculus is an essential tool in many areas of mathematics and science, this module will introduce the fundamental concepts and link the abstract concepts to real world applications. Calculus can be used to consider many applied scenarios, for example, any system that changes can be measured and evaluated using calculus.Objectives
During this module students will be introduced to core concepts and techniques in calculus. They will gain experience and confidence using these techniques and learn how this area of mathematics is applied in science such as rated of change, differential equations and many other areas.Learning outcomes
On successful completion of this module, students will be able to:
1. Explore and manipulate a variety of mathematical objects in the area of calculus
2. Evaluate different methods and choose the most appropriate calculus technique
3. Perform calculations and solve problems in abstract mathematical and real-world scenarios
4. Present mathematical ideas from the area of calculus using precise mathematical language in various forms
Skills outcomes
Communication of mathematical information, analysis, problem solving, reflection, and digital literacy in basic equation editor technology
Syllabus
The content will be delivered through lectures and seminars and will cover areas such as…
- Differentiation of complex functions; sin x, cos x, tan x, e×, log x
- Integration of standard functions; Definite and indefinite integrals; Integration by parts and by substitution; Area under a curve and between curves.
- Application of calculus in science.
- Applying numerical calculus techniques.
- Formulation and solution of differential equations.
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Lectures | 10 | 2.00 | 20.00 |
| seminars | 10 | 1.00 | 10.00 |
| Independent online learning hours | 20.00 | ||
| Private study hours | 50.00 | ||
| Total Contact hours | 30.00 | ||
| Total hours (100hr per 10 credits) | 100.00 | ||
Opportunities for Formative Feedback
Formative feedback will be given in seminars, via in-class quizzes, via completion of online quizzes and via submission of independent work such as written problem sets.Methods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| Online Assessment | 3 hours | 30.00 |
| Total percentage (Assessment Coursework) | 30.00 | |
Coursework will be released and submitted as a single assessment, however students will be encouraged to tackle problems as the relevant material is covered, on a week-by-week basis.
Exams
| Exam type | Exam duration | % of formal assessment |
| Unseen exam | 2 hr 00 mins | 70.00 |
| Total percentage (Assessment Exams) | 70.00 | |
Resits for the exam component of the module will be assessed by the same methodology as the first attempt during the July Resit period, in most cases, or during the next available opportunity.
Reading list
The reading list is available from the Library websiteLast updated: 04/04/2023
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- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
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